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theory Flask
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imports Main Flask_type OS_type_def File_renaming
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begin
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(****** Policy-language-level rule match/auxiliary functions ******)
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fun patt_match :: "'a patt \<Rightarrow> 'a \<Rightarrow> bool"
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where
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"patt_match (Single x) y = (x = y)"
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| "patt_match (Set s) x = (x \<in> s)"
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| "patt_match (Tilde s) x = (x \<notin> s)"
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| "patt_match Asterisk x = True"
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(* match a target with a patt, but including the SELF special
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* patt_match_self patt target source
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*)
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fun patt_match_self :: "(type_t patt) target_with_self_t \<Rightarrow> type_t \<Rightarrow> type_t \<Rightarrow> bool"
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where
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"patt_match_self Self tt st = (tt = st)"
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| "patt_match_self (Not_self (Single p)) tt st = (tt = p)"
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| "patt_match_self (Not_self (Set p)) tt st = (tt \<in> p)"
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| "patt_match_self (Not_self (Tilde p)) tt st = (tt \<notin> p)"
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| "patt_match_self (Not_self Asterisk) tt st = True"
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(* list lookup: find the first one *)
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fun lookup :: "'a list \<Rightarrow> ('a \<Rightarrow> bool) \<Rightarrow> 'a option"
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where
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"lookup [] P = None"
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| "lookup (x # xs) P = (if (P x) then Some x else lookup xs P)"
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(* list member: if exists an element satisfy predicate P *)
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fun member :: "'a list \<Rightarrow> ('a \<Rightarrow> bool) \<Rightarrow> bool"
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where
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"member [] P = False"
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| "member (x # xs) P = (if (P x) then True else member xs P)"
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(******* socket related aux functions ********)
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fun is_remote_request :: "t_event \<Rightarrow> bool"
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where
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"is_remote_request (Accept p fd addr port fd' i) = True"
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| "is_remote_request (Connect p fd addr) = True"
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| "is_remote_request (SendSock p fd) = True"
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| "is_remote_request (RecvSock p fd) = True"
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| "is_remote_request e = False"
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fun ip_of_addr:: "t_sock_addr \<Rightarrow> t_inet_addr"
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where
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"ip_of_addr (INET_ADDR saddr sport) = saddr"
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fun port_of_addr:: "t_sock_addr \<Rightarrow> t_socket_port"
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where
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"port_of_addr (INET_ADDR saddr sport) = sport"
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fun after_bind:: "t_sock_state option \<Rightarrow> bool"
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where
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"after_bind None = False"
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| "after_bind (Some SS_create) = False"
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| "after_bind _= True" (* after bind , it should have local addr *)
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fun after_conacc:: "t_sock_state option \<Rightarrow> bool"
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where
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"after_conacc None = False"
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| "after_conacc (Some SS_create) = False"
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| "after_conacc (Some SS_bind) = False"
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| "after_conacc (Some SS_listen) = False"
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| "after_conacc _ = True" (* after connect or accept, it should have remote addr *)
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(* inet_addr_compare addr1 addr2 \<equiv> addr1 \<le> addr2; but in \<le>'s def,there is a \<exists>, is not a function*)
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fun subnet_addr :: "t_inet_addr \<Rightarrow> t_inet_addr \<Rightarrow> bool"
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where
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"subnet_addr [] addr = True"
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| "subnet_addr (x#xs) [] = False"
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| "subnet_addr (x#xs) (y#ys) = ((x = y) \<and> subnet_addr xs ys)"
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definition port_in_range :: "t_socket_port \<Rightarrow> t_socket_port \<Rightarrow> t_socket_port \<Rightarrow> bool"
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where
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"port_in_range minp maxp p \<equiv> ((p < maxp \<or> p = maxp) \<and> (p > minp \<or> p = minp))"
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(* initial value of initiate state constrains aux function *)
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definition bidirect_in_init :: "'a set \<Rightarrow> ('a \<Rightarrow> 'b option) \<Rightarrow> bool"
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where
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"bidirect_in_init S f \<equiv> (\<forall> a. a \<in> S \<longrightarrow> (\<exists> b. f a = Some b)) \<and>
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(\<forall> a b. f a = Some b \<longrightarrow> a \<in> S)"
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fun is_file_itag :: "t_inode_tag \<Rightarrow> bool"
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where
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"is_file_itag Tag_FILE = True"
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| "is_file_itag tag = False"
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fun is_dir_itag :: "t_inode_tag \<Rightarrow> bool"
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where
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"is_dir_itag Tag_DIR = True"
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| "is_dir_itag tag = False"
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fun is_file_dir_itag :: "t_inode_tag \<Rightarrow> bool"
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where
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"is_file_dir_itag Tag_FILE = True"
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| "is_file_dir_itag Tag_DIR = True"
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| "is_file_dir_itag tag = False"
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fun is_tcp_itag :: "t_inode_tag \<Rightarrow> bool"
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where
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"is_tcp_itag Tag_TCP_SOCK = True"
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| "is_tcp_itag tag = False"
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fun is_udp_itag :: "t_inode_tag \<Rightarrow> bool"
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where
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"is_udp_itag Tag_UDP_SOCK = True"
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| "is_udp_itag tag = False"
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fun is_sock_itag :: "t_inode_tag \<Rightarrow> bool"
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where
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"is_sock_itag Tag_TCP_SOCK = True"
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| "is_sock_itag Tag_UDP_SOCK = True"
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| "is_sock_itag tag = False"
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locale init =
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fixes
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init_files :: "t_file set"
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and init_procs :: "t_process set"
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and init_nodes :: "t_node set"
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and init_sockets :: "t_socket set"
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and init_users :: "user_t set"
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and init_file_of_proc_fd :: "t_process \<Rightarrow> t_fd \<rightharpoonup> t_file"
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and init_fds_of_proc :: "t_process \<Rightarrow> t_fd set"
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and init_oflags_of_proc_fd:: "t_process \<Rightarrow> t_fd \<rightharpoonup> t_open_flags"
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and init_inum_of_file :: "t_file \<rightharpoonup> t_inode_num"
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and init_inum_of_socket:: "t_socket \<rightharpoonup> t_inode_num"
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and init_itag_of_inum:: "t_inode_num \<rightharpoonup> t_inode_tag"
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and init_files_hung_by_del :: "t_file set"
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(*
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and init_file_at_writing_by:: "t_file \<Rightarrow> (t_process \<times> t_fd) set"
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*)
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and init_socket_state :: "t_socket \<rightharpoonup> t_sock_state"
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and init_msgqs :: "t_msgq set"
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and init_msgs_of_queue:: "t_msgq \<Rightarrow> t_msg list"
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(*
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and init_shms :: "t_shm set"
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and init_procs_of_shm :: "t_shm \<Rightarrow> (t_process \<times> t_shm_attach_flag) set"
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and init_flag_of_proc_shm :: "t_process \<Rightarrow> t_shm \<rightharpoonup> t_shm_attach_flag"
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*)
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assumes
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parent_file_in_init: "\<And> f pf. \<lbrakk>parent f = Some pf; f \<in> init_files\<rbrakk> \<Longrightarrow> pf \<in> init_files"
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and root_is_dir: "\<exists> i. init_inum_of_file [] = Some i \<and> init_itag_of_inum i = Some Tag_DIR"
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and init_file_has_inum: "\<And> f. f \<in> init_files \<Longrightarrow> \<exists> im. init_inum_of_file f = Some im"
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and inof_has_file_tag: "\<And> f im. init_inum_of_file f = Some im \<Longrightarrow> f \<in> init_files \<and> (\<exists> tag. init_itag_of_inum im = Some tag \<and> is_file_dir_itag tag)"
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and init_file_no_son: "\<And> f im. \<lbrakk>init_inum_of_file f = Some im; init_itag_of_inum im = Some Tag_FILE\<rbrakk> \<Longrightarrow> \<not> (\<exists> f' \<in> init_files. parent f' = Some f)"
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and init_parentf_is_dir: "\<And> f pf im. \<lbrakk>parent f = Some pf; f \<in> init_files; init_inum_of_file pf = Some im\<rbrakk> \<Longrightarrow> init_itag_of_inum im = Some Tag_DIR"
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and init_files_hung_valid: "\<And> f. f \<in> init_files_hung_by_del \<Longrightarrow> f \<in> init_files \<and> (\<exists> p fd. init_file_of_proc_fd p fd = Some f)"
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and init_files_hung_valid': "\<And> f im. \<lbrakk>f \<in> init_files_hung_by_del; init_inum_of_file f = Some im\<rbrakk> \<Longrightarrow>
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init_itag_of_inum im = Some Tag_FILE \<or> (init_itag_of_inum im = Some Tag_DIR \<and> \<not> (\<exists> f'. f' \<in> init_files \<and> f \<prec> f'))"
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and init_procfds_valid: "\<And> p fd. fd \<in> init_fds_of_proc p \<Longrightarrow> p \<in> init_procs \<and> ((\<exists> f \<in> init_files. init_file_of_proc_fd p fd = Some f) \<or> (p, fd) \<in> init_sockets)"
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and init_filefd_valid: "\<And> p fd f. init_file_of_proc_fd p fd = Some f \<Longrightarrow> fd \<in> init_fds_of_proc p \<and> (\<exists> im. init_inum_of_file f = Some im \<and> init_itag_of_inum im = Some Tag_FILE) \<and> p \<in> init_procs \<and> (\<exists> flags. init_oflags_of_proc_fd p fd = Some flags) \<and> (p, fd) \<notin> init_sockets"
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and init_fileflag_valid: "\<And> p fd flags. init_oflags_of_proc_fd p fd = Some flags \<Longrightarrow> \<exists> f. init_file_of_proc_fd p fd = Some f"
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(*
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and init_procs_has_shm: "\<And> p h flag. (p,flag) \<in> init_procs_of_shm h \<Longrightarrow> p \<in> init_procs \<and> h \<in> init_shms \<and> init_flag_of_proc_shm p h = Some flag"
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and init_shmflag_has_proc: "\<And> p h flag. init_flag_of_proc_shm p h = Some flag \<Longrightarrow> (p, flag) \<in> init_procs_of_shm h"
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*)
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and init_msgs_distinct: "\<And> q. distinct (init_msgs_of_queue q)"
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and init_msgs_valid: "\<And> m q. m \<in> set (init_msgs_of_queue q) \<Longrightarrow> q \<in> init_msgqs"
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and init_socket_has_inode: "\<And> p fd. (p, fd) \<in> init_sockets \<Longrightarrow> \<exists> im. init_inum_of_socket (p, fd) = Some im \<and> p \<in> init_procs \<and> fd \<in> init_fds_of_proc p \<and> init_file_of_proc_fd p fd = None"
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and inos_has_sock_tag: "\<And> s im. init_inum_of_socket s = Some im \<Longrightarrow> s \<in> init_sockets \<and> (\<exists> tag. init_itag_of_inum im = Some tag \<and> is_sock_itag tag)"
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(*
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and init_netobj_has_state: "bidirect_in_init init_netobjs init_netobj_state"
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and init_netobj_has_socktype:"bidirect_in_init init_netobjs init_netobj_socktype"
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and init_netobj_has_laddr: "\<And> s. after_bind (init_netobj_state s) \<Longrightarrow> init_netobj_localaddr s \<noteq> None"
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and init_netobj_has_raddr: "\<And> s. after_conacc (init_netobj_state s) \<Longrightarrow> init_netobj_remoteaddr s \<noteq> None"
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*)
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and init_finite_sets: "finite init_files \<and> finite init_procs \<and> (\<forall> p. finite (init_fds_of_proc p)) \<and> finite init_shms \<and> finite init_msgqs \<and> finite init_users"
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begin
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definition is_init_file:: "t_file \<Rightarrow> bool"
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where
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"is_init_file f \<equiv> (case (init_inum_of_file f) of
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Some i \<Rightarrow> (case (init_itag_of_inum i) of
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Some Tag_FILE \<Rightarrow> True
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| _ \<Rightarrow> False)
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| _ \<Rightarrow> False)"
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definition is_init_dir:: "t_file \<Rightarrow> bool"
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where
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"is_init_dir f \<equiv> (case (init_inum_of_file f) of
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Some i \<Rightarrow> (case (init_itag_of_inum i) of
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Some Tag_DIR \<Rightarrow> True
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| _ \<Rightarrow> False)
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| _ \<Rightarrow> False)"
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definition is_init_tcp_sock:: "t_socket \<Rightarrow> bool"
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where
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"is_init_tcp_sock s \<equiv> (case (init_inum_of_socket s) of
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Some i \<Rightarrow> (case (init_itag_of_inum i) of
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Some Tag_TCP_SOCK \<Rightarrow> True
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| _ \<Rightarrow> False)
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| _ \<Rightarrow> False)"
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definition is_init_udp_sock:: "t_socket \<Rightarrow> bool"
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where
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"is_init_udp_sock s \<equiv> (case (init_inum_of_socket s) of
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Some i \<Rightarrow> (case (init_itag_of_inum i) of
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Some Tag_UDP_SOCK \<Rightarrow> True
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| _ \<Rightarrow> False)
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| _ \<Rightarrow> False)"
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definition init_same_inode_files :: "t_file \<Rightarrow> t_file set"
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where
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"init_same_inode_files f \<equiv> if is_init_file f then {f'. init_inum_of_file f = init_inum_of_file f'} else {}"
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fun init_alive :: "t_object \<Rightarrow> bool"
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where
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"init_alive (O_proc p) = (p \<in> init_procs)"
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| "init_alive (O_file f) = (is_init_file f)"
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| "init_alive (O_dir f) = (is_init_dir f)"
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| "init_alive (O_fd p fd) = (fd \<in> init_fds_of_proc p)"
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| "init_alive (O_node n) = (n \<in> init_nodes)"
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| "init_alive (O_tcp_sock k) = (is_init_tcp_sock k)"
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| "init_alive (O_udp_sock k) = (is_init_udp_sock k)"
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(*
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| "init_alive (O_shm h) = (h \<in> init_shms)"
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*)
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| "init_alive (O_msgq q) = (q \<in> init_msgqs)"
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| "init_alive (O_msg q m) = (m \<in> set (init_msgs_of_queue q) \<and> q \<in> init_msgqs)"
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(************ system listeners, event-related ***********)
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fun file_of_proc_fd :: "t_state \<Rightarrow> t_process \<Rightarrow> t_fd \<Rightarrow> t_file option"
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where
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"file_of_proc_fd [] p' fd' = (init_file_of_proc_fd p' fd')"
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| "file_of_proc_fd (Open p f flags fd iopt # \<tau>) p' fd' =
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(if (p' = p \<and> fd = fd') then Some f else file_of_proc_fd \<tau> p' fd')"
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| "file_of_proc_fd (CloseFd p fd # \<tau>) p' fd' =
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(if (p = p' \<and> fd = fd') then None else file_of_proc_fd \<tau> p' fd')"
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(*deleted: if (f\<^isub>3 \<preceq> f\<^isub>1) then None else *)
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(*
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| "file_of_proc_fd (Rename p f\<^isub>2 f\<^isub>3 # \<tau>) p' fd =
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(case (file_of_proc_fd \<tau> p' fd) of
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Some f\<^isub>1 \<Rightarrow> (if (f\<^isub>2 \<preceq> f\<^isub>1) then Some (file_after_rename f\<^isub>2 f\<^isub>3 f\<^isub>1)
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else Some f\<^isub>1)
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| None \<Rightarrow> None )"
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*)
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| "file_of_proc_fd (Execve p f fds # \<tau>) p' fd =
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(if (p' = p \<and> fd \<in> fds) then file_of_proc_fd \<tau> p fd
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else if (p' = p) then None
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else file_of_proc_fd \<tau> p' fd) "
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| "file_of_proc_fd (Clone p p' fds # \<tau>) p'' fd =
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(if (p'' = p' \<and> fd \<in> fds) then file_of_proc_fd \<tau> p fd
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256 |
else if (p'' = p') then None
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257 |
else file_of_proc_fd \<tau> p'' fd)"
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258 |
| "file_of_proc_fd (Kill p\<^isub> p\<^isub>' # \<tau>) p'' fd =
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259 |
(if (p'' = p\<^isub>') then None else file_of_proc_fd \<tau> p'' fd)"
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260 |
| "file_of_proc_fd (Exit p # \<tau>) p' fd =
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261 |
(if (p = p') then None else file_of_proc_fd \<tau> p' fd)"
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262 |
| "file_of_proc_fd (_ # \<tau>) p fd = file_of_proc_fd \<tau> p fd"
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263 |
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264 |
definition proc_fd_of_file :: "t_state \<Rightarrow> t_file \<Rightarrow> (t_process \<times> t_fd) set"
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265 |
where
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266 |
"proc_fd_of_file \<tau> f = {(p, fd) | p fd. file_of_proc_fd \<tau> p fd = Some f}"
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267 |
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268 |
definition proc_file_fds :: "t_state \<Rightarrow> t_process \<Rightarrow> t_fd set"
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269 |
where
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270 |
"proc_file_fds s p \<equiv> {fd. \<exists> f. file_of_proc_fd s p fd = Some f}"
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271 |
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272 |
definition init_proc_file_fds:: "t_process \<Rightarrow> t_fd set"
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273 |
where
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274 |
"init_proc_file_fds p \<equiv> {fd. \<exists> f. init_file_of_proc_fd p fd = Some f}"
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275 |
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276 |
(****** files and directories ******)
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277 |
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278 |
fun files_hung_by_del :: "t_state \<Rightarrow> t_file set"
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279 |
where
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280 |
"files_hung_by_del [] = init_files_hung_by_del"
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281 |
| "files_hung_by_del (UnLink p f # \<tau>) = (
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282 |
if (proc_fd_of_file \<tau> f = {}) then files_hung_by_del \<tau>
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283 |
else insert f (files_hung_by_del \<tau>))"
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284 |
(* | files_hung_by_del (Rmdir p f) is not need, for open can only apply to file not dir *)
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285 |
| "files_hung_by_del (CloseFd p fd # \<tau>) = (
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286 |
case (file_of_proc_fd \<tau> p fd) of
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287 |
Some f \<Rightarrow> (if (proc_fd_of_file \<tau> f = {(p, fd)})
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288 |
then files_hung_by_del \<tau> - {f}
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289 |
else files_hung_by_del \<tau>)
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290 |
| None \<Rightarrow> files_hung_by_del \<tau> )"
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291 |
(*
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292 |
| "files_hung_by_del (Rename p f\<^isub>2 f\<^isub>3 # \<tau>) = {file_after_rename f\<^isub>2 f\<^isub>3 f\<^isub>1| f\<^isub>1. f\<^isub>1 \<in> files_hung_by_del \<tau>}" (* for rename(2) does not infect on fd of the file, see man -S 2 rename *)
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293 |
*)
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294 |
| "files_hung_by_del (e # \<tau>) = files_hung_by_del \<tau>"
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295 |
declare files_hung_by_del.simps [simp del]
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296 |
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297 |
fun inum_of_file :: "t_state \<Rightarrow> (t_file \<rightharpoonup> t_inode_num)"
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|
298 |
where
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299 |
"inum_of_file [] = init_inum_of_file"
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300 |
| "inum_of_file (Open p f flags fd (Some inum) # \<tau>) = (inum_of_file \<tau>) (f := Some inum)"
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301 |
| "inum_of_file (CloseFd p fd # \<tau>) = (
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302 |
case (file_of_proc_fd \<tau> p fd) of
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303 |
Some f \<Rightarrow> ( if ((proc_fd_of_file \<tau> f = {(p, fd)}) \<and> (f \<in> files_hung_by_del \<tau>))
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304 |
then (inum_of_file \<tau>) (f := None)
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305 |
else inum_of_file \<tau> )
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306 |
| _ \<Rightarrow> (inum_of_file \<tau>) )"
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307 |
| "inum_of_file (UnLink p f # \<tau>) = (
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|
308 |
if (proc_fd_of_file \<tau> f = {})
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309 |
then (inum_of_file \<tau>) (f := None)
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310 |
else inum_of_file \<tau> )"
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311 |
| "inum_of_file (Rmdir p f # \<tau>) = (inum_of_file \<tau>) (f := None)"
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312 |
| "inum_of_file (Mkdir p f ino # \<tau>) = (inum_of_file \<tau>) (f:= Some ino)"
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|
313 |
| "inum_of_file (LinkHard p f\<^isub>1 f\<^isub>2 # \<tau>) = (inum_of_file \<tau>) (f\<^isub>2 := inum_of_file \<tau> f\<^isub>1)"
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|
314 |
(*
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315 |
| "inum_of_file (Rename p f\<^isub>2 f\<^isub>3 # \<tau>) = (\<lambda> f.
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|
316 |
if (f\<^isub>2 \<preceq> f) then None
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|
317 |
else if (f\<^isub>3 \<preceq> f) then inum_of_file \<tau> (file_before_rename f\<^isub>2 f\<^isub>3 f)
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|
318 |
else inum_of_file \<tau> f )"
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|
319 |
*)
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|
320 |
| "inum_of_file (e # \<tau>) = inum_of_file \<tau>"
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321 |
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|
322 |
definition current_files :: "t_state \<Rightarrow> t_file set"
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|
323 |
where
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|
324 |
"current_files \<tau> = {f. \<exists> i. inum_of_file \<tau> f = Some i}"
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325 |
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|
326 |
(* experimentary: for the delete obj's (file or socket) inode num, it is unnecessary for itag_of_inum to be NONE, cause this is the situation blocked by inum_of_file / inum_of_socket !!! *)
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|
327 |
(* delete a file, just recycle its inode num, but not destroy its inode \<dots>, so it is irrelative to these events, like closeFd, Rmdir, UnLink \<dots>*)
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|
328 |
fun itag_of_inum :: "t_state \<Rightarrow> (t_inode_num \<rightharpoonup> t_inode_tag)"
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|
329 |
where
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|
330 |
"itag_of_inum [] = init_itag_of_inum"
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|
331 |
| "itag_of_inum (Open p f flags fd (Some ino) # \<tau>) = (itag_of_inum \<tau>) (ino := Some Tag_FILE)"
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|
332 |
| "itag_of_inum (Mkdir p f ino # \<tau>) = (itag_of_inum \<tau>) (ino := Some Tag_DIR)"
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|
333 |
| "itag_of_inum (CreateSock p af st fd ino # \<tau>) =
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|
334 |
(case st of
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|
335 |
STREAM \<Rightarrow> (itag_of_inum \<tau>) (ino := Some Tag_TCP_SOCK)
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|
336 |
| DGRAM \<Rightarrow> (itag_of_inum \<tau>) (ino := Some Tag_UDP_SOCK) )"
|
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|
337 |
| "itag_of_inum (Accept p fd addr lport' fd' ino # \<tau>) =
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|
338 |
(itag_of_inum \<tau>) (ino := Some Tag_TCP_SOCK)"
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|
339 |
| "itag_of_inum (_ # \<tau>) = itag_of_inum \<tau>"
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|
340 |
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|
341 |
definition is_file:: "t_state \<Rightarrow> t_file \<Rightarrow> bool"
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|
342 |
where
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|
343 |
"is_file \<tau> f \<equiv> (case (inum_of_file \<tau> f) of
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|
344 |
Some i \<Rightarrow> (case (itag_of_inum \<tau> i) of
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|
345 |
Some Tag_FILE \<Rightarrow> True
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|
346 |
| _ \<Rightarrow> False)
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|
347 |
| _ \<Rightarrow> False)"
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|
348 |
|
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|
349 |
definition is_dir:: "t_state \<Rightarrow> t_file \<Rightarrow> bool"
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|
350 |
where
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|
351 |
"is_dir \<tau> f \<equiv> (case (inum_of_file \<tau> f) of
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|
352 |
Some i \<Rightarrow> (case (itag_of_inum \<tau> i) of
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|
353 |
Some Tag_DIR \<Rightarrow> True
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|
354 |
| _ \<Rightarrow> False)
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|
355 |
| _ \<Rightarrow> False)"
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|
|
356 |
|
|
|
357 |
definition dir_is_empty :: "t_state \<Rightarrow> t_file \<Rightarrow> bool"
|
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|
358 |
where
|
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|
359 |
"dir_is_empty \<tau> f \<equiv> is_dir \<tau> f \<and> \<not> (\<exists> f'. f' \<in> current_files \<tau> \<and> f \<prec> f')"
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|
|
360 |
|
|
|
361 |
definition same_inode_files :: "t_state \<Rightarrow> t_file \<Rightarrow> t_file set"
|
|
|
362 |
where
|
|
|
363 |
"same_inode_files s f \<equiv> if is_file s f then {f'. inum_of_file s f = inum_of_file s f'} else {}"
|
|
|
364 |
|
|
|
365 |
definition has_same_inode :: "t_state \<Rightarrow> t_file \<Rightarrow> t_file \<Rightarrow> bool"
|
|
|
366 |
where
|
|
|
367 |
"has_same_inode s fa fb \<equiv> fb \<in> same_inode_files s fa"
|
|
|
368 |
|
|
|
369 |
fun inum_of_socket :: "t_state \<Rightarrow> (t_socket \<rightharpoonup> t_inode_num)"
|
|
|
370 |
where
|
|
|
371 |
"inum_of_socket [] = init_inum_of_socket"
|
|
|
372 |
| "inum_of_socket (CloseFd p fd # \<tau>) =
|
|
|
373 |
(inum_of_socket \<tau>) ((p, fd):= None)"
|
|
|
374 |
| "inum_of_socket (CreateSock p af st fd ino # \<tau>) =
|
|
|
375 |
(inum_of_socket \<tau>) ((p, fd) := Some ino)"
|
|
|
376 |
| "inum_of_socket (Accept p fd addr lport' fd' ino # \<tau>) =
|
|
|
377 |
(inum_of_socket \<tau>) ((p, fd') := Some ino)"
|
|
|
378 |
| "inum_of_socket (Clone p p' fds # \<tau>) =
|
|
|
379 |
(\<lambda> (p'', fd). if (p'' = p' \<and> fd \<in> fds) then inum_of_socket \<tau> (p, fd)
|
|
|
380 |
else if (p'' = p') then None
|
|
|
381 |
else inum_of_socket \<tau> (p'',fd))"
|
|
|
382 |
| "inum_of_socket (Execve p f fds # \<tau>) =
|
|
|
383 |
(\<lambda> (p', fd). if (p' = p \<and> fd \<in> fds) then inum_of_socket \<tau> (p, fd)
|
|
|
384 |
else if (p' = p) then None
|
|
|
385 |
else inum_of_socket \<tau> (p', fd))"
|
|
|
386 |
| "inum_of_socket (Kill p\<^isub>1 p\<^isub>2 # \<tau>) =
|
|
|
387 |
(\<lambda> (p, fd). if (p = p\<^isub>2) then None else inum_of_socket \<tau> (p, fd) )"
|
|
|
388 |
| "inum_of_socket (Exit p # \<tau>) =
|
|
|
389 |
(\<lambda> (p', fd). if (p' = p) then None else inum_of_socket \<tau> (p', fd))"
|
|
|
390 |
| "inum_of_socket (_ # \<tau>) = inum_of_socket \<tau>"
|
|
|
391 |
|
|
|
392 |
definition current_sockets :: "t_state \<Rightarrow> t_socket set"
|
|
|
393 |
where
|
|
|
394 |
"current_sockets \<tau> = {s. \<exists> i. inum_of_socket \<tau> s = Some i}"
|
|
|
395 |
|
|
|
396 |
definition is_tcp_sock :: "t_state \<Rightarrow> t_socket \<Rightarrow> bool"
|
|
|
397 |
where
|
|
|
398 |
"is_tcp_sock \<tau> s \<equiv> (case (inum_of_socket \<tau> s) of
|
|
|
399 |
Some i \<Rightarrow> (case (itag_of_inum \<tau> i) of
|
|
|
400 |
Some Tag_TCP_SOCK \<Rightarrow> True
|
|
|
401 |
| _ \<Rightarrow> False)
|
|
|
402 |
| _ \<Rightarrow> False)"
|
|
|
403 |
|
|
|
404 |
definition is_udp_sock :: "t_state \<Rightarrow> t_socket \<Rightarrow> bool"
|
|
|
405 |
where
|
|
|
406 |
"is_udp_sock \<tau> s \<equiv> (case (inum_of_socket \<tau> s) of
|
|
|
407 |
Some i \<Rightarrow> (case (itag_of_inum \<tau> i) of
|
|
|
408 |
Some Tag_UDP_SOCK \<Rightarrow> True
|
|
|
409 |
| _ \<Rightarrow> False)
|
|
|
410 |
| _ \<Rightarrow> False)"
|
|
|
411 |
|
|
|
412 |
fun current_procs :: "t_state \<Rightarrow> t_process set"
|
|
|
413 |
where
|
|
|
414 |
"current_procs [] = init_procs"
|
|
|
415 |
| "current_procs (Clone p p' fds # \<tau>) = (insert p' (current_procs \<tau>))"
|
|
|
416 |
| "current_procs (Exit p # \<tau>) = (current_procs \<tau> - {p})"
|
|
|
417 |
| "current_procs (Kill p p' # \<tau>) = (current_procs \<tau> - {p'})"
|
|
|
418 |
| "current_procs (_ # \<tau>) = current_procs \<tau>"
|
|
|
419 |
|
|
|
420 |
fun current_proc_fds :: "t_state \<Rightarrow> t_process \<Rightarrow> t_fd set"
|
|
|
421 |
where
|
|
|
422 |
"current_proc_fds [] = init_fds_of_proc"
|
|
|
423 |
| "current_proc_fds (Open p f flags fd iopt # \<tau>) =
|
|
|
424 |
(current_proc_fds \<tau>) (p:= insert fd (current_proc_fds \<tau> p))"
|
|
|
425 |
| "current_proc_fds (CreateSock p sf st newfd newi # \<tau>) =
|
|
|
426 |
(current_proc_fds \<tau>) (p:= insert newfd (current_proc_fds \<tau> p))"
|
|
|
427 |
| "current_proc_fds (Accept p fd raddr port fd' ino # \<tau>) =
|
|
|
428 |
(current_proc_fds \<tau>) (p:= insert fd' (current_proc_fds \<tau> p))"
|
|
|
429 |
| "current_proc_fds (CloseFd p fd # \<tau>) =
|
|
|
430 |
(current_proc_fds \<tau>) (p:= (current_proc_fds \<tau> p) - {fd})"
|
|
|
431 |
| "current_proc_fds (Clone p p' fds # \<tau>) =
|
|
|
432 |
(current_proc_fds \<tau>) (p':= fds)"
|
|
|
433 |
| "current_proc_fds (Execve p f fds # \<tau>) =
|
|
|
434 |
(current_proc_fds \<tau>) (p:= fds)"
|
|
|
435 |
| "current_proc_fds (Exit p # \<tau>) = (current_proc_fds \<tau>) (p := {})"
|
|
|
436 |
| "current_proc_fds (Kill p p' # \<tau>) = (current_proc_fds \<tau>) (p' := {})"
|
|
|
437 |
| "current_proc_fds (_ # \<tau>) = current_proc_fds \<tau>"
|
|
|
438 |
|
|
|
439 |
(*
|
|
|
440 |
fun current_shms :: "t_state \<Rightarrow> t_shm set"
|
|
|
441 |
where
|
|
|
442 |
"current_shms [] = init_shms"
|
|
|
443 |
| "current_shms (CreateShM p newshm # \<tau>) = insert newshm (current_shms \<tau>)"
|
|
|
444 |
| "current_shms (DeleteShM p s # \<tau>) = (current_shms \<tau>) - {s}"
|
|
|
445 |
| "current_shms (e # \<tau>) = current_shms \<tau> "
|
|
|
446 |
|
|
|
447 |
fun flag_of_proc_shm :: "t_state \<Rightarrow> t_process \<Rightarrow> t_shm \<Rightarrow> t_shm_attach_flag option"
|
|
|
448 |
where
|
|
|
449 |
"flag_of_proc_shm [] = init_flag_of_proc_shm"
|
|
|
450 |
| "flag_of_proc_shm (Attach p h flag # s) = (\<lambda> p' h'.
|
|
|
451 |
if (p' = p \<and> h' = h) then Some flag else flag_of_proc_shm s p' h')"
|
|
|
452 |
| "flag_of_proc_shm (Detach p h # s) = (\<lambda> p' h'.
|
|
|
453 |
if (p' = p \<and> h' = h) then None else flag_of_proc_shm s p' h')"
|
|
|
454 |
| "flag_of_proc_shm (CreateShM p h # s) = (\<lambda> p' h'.
|
|
|
455 |
if (h' = h) then None else flag_of_proc_shm s p' h')"
|
|
|
456 |
| "flag_of_proc_shm (DeleteShM p h # s) = (\<lambda> p' h'.
|
|
|
457 |
if (h' = h) then None else flag_of_proc_shm s p' h')"
|
|
|
458 |
| "flag_of_proc_shm (Clone p p' fds shms # s) = (\<lambda> p'' h.
|
|
|
459 |
if (p'' = p' \<and> h \<in> shms) then flag_of_proc_shm s p h
|
|
|
460 |
else if (p'' = p') then None
|
|
|
461 |
else flag_of_proc_shm s p'' h)"
|
|
|
462 |
| "flag_of_proc_shm (Execve p f fds # s) = (\<lambda> p' h.
|
|
|
463 |
if (p' = p) then None else flag_of_proc_shm s p' h)"
|
|
|
464 |
| "flag_of_proc_shm (Kill p p' # s) = (\<lambda> p'' h.
|
|
|
465 |
if (p'' = p') then None else flag_of_proc_shm s p'' h)"
|
|
|
466 |
| "flag_of_proc_shm (Exit p # s) = (\<lambda> p' h.
|
|
|
467 |
if (p' = p) then None else flag_of_proc_shm s p' h)"
|
|
|
468 |
| "flag_of_proc_shm (e # s) = flag_of_proc_shm s"
|
|
|
469 |
|
|
|
470 |
fun procs_of_shm :: "t_state \<Rightarrow> t_shm \<Rightarrow> (t_process \<times> t_shm_attach_flag) set"
|
|
|
471 |
where
|
|
|
472 |
"procs_of_shm [] = init_procs_of_shm"
|
|
|
473 |
| "procs_of_shm (CreateShM p h # \<tau>) =
|
|
|
474 |
(procs_of_shm \<tau>) (h := {})" (* creator may not be the sharer of the shm *)
|
|
|
475 |
| "procs_of_shm (Attach p h flag # \<tau>) =
|
|
|
476 |
(procs_of_shm \<tau>) (h := insert (p, flag) (procs_of_shm \<tau> h))"
|
|
|
477 |
| "procs_of_shm (Detach p h # \<tau>) =
|
|
|
478 |
(procs_of_shm \<tau>) (h := (procs_of_shm \<tau> h) - {(p,flag) | flag. (p, flag) \<in> procs_of_shm \<tau> h})"
|
|
|
479 |
| "procs_of_shm (DeleteShM p h # \<tau>) = (procs_of_shm \<tau>) (h := {})"
|
|
|
480 |
| "procs_of_shm (Clone p p' fds shms # \<tau>) =
|
|
|
481 |
(\<lambda> h. if (h \<in> shms)
|
|
|
482 |
then (procs_of_shm \<tau> h) \<union> {(p', flag) | flag. (p, flag) \<in> procs_of_shm \<tau> h}
|
|
|
483 |
else procs_of_shm \<tau> h)"
|
|
|
484 |
| "procs_of_shm (Execve p f fds # \<tau>) =
|
|
|
485 |
(\<lambda> h. procs_of_shm \<tau> h - {(p, flag) | flag. (p, flag) \<in> procs_of_shm \<tau> h})"
|
|
|
486 |
| "procs_of_shm (Kill p p' # s) =
|
|
|
487 |
(\<lambda> h. (procs_of_shm s h) - {(p', flag) | flag. (p', flag) \<in> procs_of_shm s h})"
|
|
|
488 |
| "procs_of_shm (Exit p # s) =
|
|
|
489 |
(\<lambda> h. (procs_of_shm s h) - {(p, flag) | flag. (p, flag) \<in> procs_of_shm s h})"
|
|
|
490 |
| "procs_of_shm (e # \<tau>) = procs_of_shm \<tau>"
|
|
|
491 |
|
|
|
492 |
(*
|
|
|
493 |
inductive info_flow_shm :: "t_state \<Rightarrow> t_process \<Rightarrow> t_process \<Rightarrow> bool"
|
|
|
494 |
where
|
|
|
495 |
"p \<in> current_procs s \<Longrightarrow> info_flow_shm s p p"
|
|
|
496 |
| "\<lbrakk>info_flow_shm s p p'; (p', SHM_RDWR) \<in> procs_of_shm s h; (p'', flag) \<in> procs_of_shm s h; p' \<noteq> p''\<rbrakk>
|
|
|
497 |
\<Longrightarrow> info_flow_shm s p p''"
|
|
|
498 |
*)
|
|
|
499 |
definition one_flow_shm :: "t_state \<Rightarrow> t_shm \<Rightarrow> t_process \<Rightarrow> t_process \<Rightarrow> bool"
|
|
|
500 |
where
|
|
|
501 |
"one_flow_shm s h from to \<equiv> from \<noteq> to \<and> (from, SHM_RDWR) \<in> procs_of_shm s h \<and>
|
|
|
502 |
(\<exists> flag. (to, flag) \<in> procs_of_shm s h)"
|
|
|
503 |
|
|
|
504 |
fun self_shm :: "t_state \<Rightarrow> t_process \<Rightarrow> t_process \<Rightarrow> bool"
|
|
|
505 |
where
|
|
|
506 |
"self_shm s p p' = (p = p' \<and> p' \<in> current_procs s)"
|
|
|
507 |
|
|
|
508 |
definition info_flow_shm :: "t_state \<Rightarrow> t_process \<Rightarrow> t_process \<Rightarrow> bool"
|
|
|
509 |
where
|
|
|
510 |
"info_flow_shm s from to \<equiv> (self_shm s from to) \<or> (\<exists> h. one_flow_shm s h from to)"
|
|
|
511 |
*)
|
|
|
512 |
|
|
|
513 |
fun current_msgqs :: "t_state \<Rightarrow> t_msg set"
|
|
|
514 |
where
|
|
|
515 |
"current_msgqs [] = init_msgqs"
|
|
|
516 |
| "current_msgqs (CreateMsgq p q # \<tau>) = insert q (current_msgqs \<tau>)"
|
|
|
517 |
| "current_msgqs (RemoveMsgq p q # \<tau>) = (current_msgqs \<tau>) - {q}"
|
|
|
518 |
| "current_msgqs (_ # \<tau>) = current_msgqs \<tau>"
|
|
|
519 |
|
|
|
520 |
fun msgs_of_queue :: "t_state \<Rightarrow> t_msgq \<Rightarrow> t_msg list"
|
|
|
521 |
where
|
|
|
522 |
"msgs_of_queue [] = init_msgs_of_queue"
|
|
|
523 |
| "msgs_of_queue (CreateMsgq p q # \<tau>) = (msgs_of_queue \<tau>)(q := [])"
|
|
|
524 |
| "msgs_of_queue (SendMsg p q m # \<tau>) = (msgs_of_queue \<tau>)(q := msgs_of_queue \<tau> q @ [m])"
|
|
|
525 |
| "msgs_of_queue (RecvMsg p q m # \<tau>) = (msgs_of_queue \<tau>)(q := tl (msgs_of_queue \<tau> q))"
|
|
|
526 |
| "msgs_of_queue (RemoveMsgq p q # \<tau>) = (msgs_of_queue \<tau>)(q := [])"
|
|
|
527 |
| "msgs_of_queue (_ # \<tau>) = msgs_of_queue \<tau>"
|
|
|
528 |
|
|
|
529 |
definition current_file_inums :: "t_state \<Rightarrow> t_inode_num set"
|
|
|
530 |
where
|
|
|
531 |
"current_file_inums \<tau> \<equiv> {im. \<exists> f. inum_of_file \<tau> f = Some im}"
|
|
|
532 |
|
|
|
533 |
definition current_sock_inums :: "t_state \<Rightarrow> t_inode_num set"
|
|
|
534 |
where
|
|
|
535 |
"current_sock_inums \<tau> = {im. \<exists> s. inum_of_socket \<tau> s = Some im}"
|
|
|
536 |
|
|
|
537 |
definition current_inode_nums :: "t_state \<Rightarrow> nat set"
|
|
|
538 |
where
|
|
|
539 |
"current_inode_nums \<tau> = current_file_inums \<tau> \<union> current_sock_inums \<tau>"
|
|
|
540 |
|
|
|
541 |
fun flags_of_proc_fd :: "t_state \<Rightarrow> t_process \<Rightarrow> t_fd \<Rightarrow> t_open_flags option"
|
|
|
542 |
where
|
|
|
543 |
"flags_of_proc_fd [] p fd = init_oflags_of_proc_fd p fd"
|
|
|
544 |
| "flags_of_proc_fd (Open p f flags fd iopt # \<tau>) p' fd' =
|
|
|
545 |
(if (p = p' \<and> fd = fd') then Some flags else flags_of_proc_fd \<tau> p' fd')"
|
|
|
546 |
| "flags_of_proc_fd (CloseFd p fd # \<tau>) p' fd' =
|
|
|
547 |
(if (p = p' \<and> fd = fd') then None else flags_of_proc_fd \<tau> p' fd')"
|
|
|
548 |
| "flags_of_proc_fd (CreateSock p af st fd ino # \<tau>) p' fd' =
|
|
|
549 |
(if (p = p' \<and> fd = fd') then None else flags_of_proc_fd \<tau> p' fd')"
|
|
|
550 |
| "flags_of_proc_fd (Accept p fd addr lport' fd' ino # \<tau>) p' fd'' =
|
|
|
551 |
(if (p = p' \<and> fd' = fd'') then None else flags_of_proc_fd \<tau> p' fd'')"
|
|
|
552 |
| "flags_of_proc_fd (Clone p p' fds # \<tau>) p'' fd =
|
|
79
|
553 |
(if (p' = p'' \<and> fd \<in> fds) then flags_of_proc_fd \<tau> p fd
|
|
|
554 |
else if (p' = p'') then None
|
|
|
555 |
else flags_of_proc_fd \<tau> p'' fd)"
|
|
77
|
556 |
| "flags_of_proc_fd (Execve p f fds # \<tau>) p' fd =
|
|
79
|
557 |
(if (p' = p \<and> fd \<in> fds) then flags_of_proc_fd \<tau> p fd
|
|
|
558 |
else if (p' = p) then None
|
|
|
559 |
else flags_of_proc_fd \<tau> p' fd)"
|
|
77
|
560 |
| "flags_of_proc_fd (Kill p\<^isub>1 p\<^isub>2 # \<tau>) p fd =
|
|
|
561 |
(if (p = p\<^isub>2) then None else flags_of_proc_fd \<tau> p fd)"
|
|
|
562 |
| "flags_of_proc_fd (Exit p # \<tau>) p' fd' =
|
|
|
563 |
(if (p = p') then None else flags_of_proc_fd \<tau> p' fd')"
|
|
|
564 |
| "flags_of_proc_fd (e # \<tau>) p fd = flags_of_proc_fd \<tau> p fd"
|
|
|
565 |
|
|
|
566 |
(*
|
|
|
567 |
fun file_at_writing_by:: "t_state \<Rightarrow> t_file \<Rightarrow> (t_process \<times> t_fd) set"
|
|
|
568 |
where
|
|
|
569 |
"file_at_writing_by [] f = init_file_at_writing_by f"
|
|
|
570 |
| "file_at_writing_by (Open p f flags fd (Some inum) # \<tau>) f' = (
|
|
|
571 |
if (f' = f)
|
|
|
572 |
then ( if (is_write_flag flags)
|
|
|
573 |
then {(p, fd)}
|
|
|
574 |
else {} )
|
|
|
575 |
else file_at_writing_by \<tau> f' )"
|
|
|
576 |
| "file_at_writing_by (Open p f flags fd None # \<tau>) f' = (
|
|
|
577 |
if (f' = f \<and> is_write_flag flags)
|
|
|
578 |
then insert (p, fd) (file_at_writing_by \<tau> f)
|
|
|
579 |
else file_at_writing_by \<tau> f' )"
|
|
|
580 |
| "file_at_writing_by (Mkdir p f inum # \<tau>) f' =
|
|
|
581 |
(if (f' = f) then {} else file_at_writing_by \<tau> f')"
|
|
|
582 |
| "file_at_writing_by (LinkHard p f f' # \<tau>) f'' =
|
|
|
583 |
(if (f'' = f') then file_at_writing_by \<tau> f else file_at_writing_by \<tau> f'')"
|
|
|
584 |
| "file_at_writing_by (Rename p f\<^isub>2 f\<^isub>3 # \<tau>) f = (
|
|
|
585 |
if (f\<^isub>3 \<preceq> f) then file_at_writing_by \<tau> (file_before_rename f\<^isub>2 f\<^isub>3 f)
|
|
|
586 |
else file_at_writing_by \<tau> f )"
|
|
|
587 |
| "file_at_writing_by (CloseFd p fd # \<tau>) f =
|
|
|
588 |
(file_at_writing_by \<tau> f - {(p, fd)})"
|
|
|
589 |
| "file_at_writing_by (Clone p p' fds shms # \<tau>) f =
|
|
|
590 |
(file_at_writing_by \<tau> f) \<union> {(p',fd)| fd. fd \<in> fds \<and> (p, fd) \<in> file_at_writing_by \<tau> f}"
|
|
|
591 |
| "file_at_writing_by (Execve p f fds # \<tau>) f' =
|
|
|
592 |
(if (f' = f) then {} else file_at_writing_by \<tau> f')"
|
|
|
593 |
| "file_at_writing_by (Exit p # \<tau>) f =
|
|
|
594 |
(file_at_writing_by \<tau> f - {(p, fd)| fd. (p, fd) \<in> file_at_writing_by \<tau> f})"
|
|
|
595 |
| "file_at_writing_by (Kill p p' # \<tau>) f =
|
|
|
596 |
(file_at_writing_by \<tau> f - {(p', fd)| fd. (p', fd) \<in> file_at_writing_by \<tau> f})"
|
|
|
597 |
| "file_at_writing_by (e # \<tau>) f = file_at_writing_by \<tau> f"
|
|
|
598 |
*)
|
|
|
599 |
|
|
|
600 |
definition current_users :: "t_state \<Rightarrow> user_t set"
|
|
|
601 |
where
|
|
|
602 |
"current_users \<tau> \<equiv> init_users"
|
|
|
603 |
|
|
|
604 |
fun update_with_shuthow :: "t_sock_state option \<Rightarrow> t_shutdown_how \<Rightarrow> t_sock_state option"
|
|
|
605 |
where
|
|
|
606 |
"update_with_shuthow (Some (SS_trans Trans_Recv)) SHUT_RD = Some (SS_trans Trans_No)"
|
|
|
607 |
| "update_with_shuthow (Some (SS_trans Trans_RS)) SHUT_RD = Some (SS_trans Trans_Send)"
|
|
|
608 |
| "update_with_shuthow (Some (SS_trans Trans_Send)) SHUT_RD = Some (SS_trans Trans_Send)"
|
|
|
609 |
| "update_with_shuthow (Some (SS_trans Trans_No)) SHUT_RD = Some (SS_trans Trans_No)"
|
|
|
610 |
| "update_with_shuthow (Some (SS_trans Trans_Recv)) SHUT_WR = Some (SS_trans Trans_Recv)"
|
|
|
611 |
| "update_with_shuthow (Some (SS_trans Trans_RS)) SHUT_WR = Some (SS_trans Trans_Recv)"
|
|
|
612 |
| "update_with_shuthow (Some (SS_trans Trans_Send)) SHUT_WR = Some (SS_trans Trans_No)"
|
|
|
613 |
| "update_with_shuthow (Some (SS_trans Trans_No)) SHUT_WR = Some (SS_trans Trans_No)"
|
|
|
614 |
| "update_with_shuthow (Some (SS_trans Trans_Recv)) SHUT_RDWR = Some (SS_trans Trans_No)"
|
|
|
615 |
| "update_with_shuthow (Some (SS_trans Trans_RS)) SHUT_RDWR = Some (SS_trans Trans_No)"
|
|
|
616 |
| "update_with_shuthow (Some (SS_trans Trans_Send)) SHUT_RDWR = Some (SS_trans Trans_No)"
|
|
|
617 |
| "update_with_shuthow (Some (SS_trans Trans_No)) SHUT_RDWR = Some (SS_trans Trans_No)"
|
|
|
618 |
| "update_with_shuthow opt1 how = None"
|
|
|
619 |
|
|
|
620 |
fun socket_state :: "t_state \<Rightarrow> t_socket \<Rightarrow> t_sock_state option"
|
|
|
621 |
where
|
|
|
622 |
"socket_state [] = init_socket_state"
|
|
|
623 |
| "socket_state (CloseFd p fd # \<tau>) =
|
|
|
624 |
(socket_state \<tau>) ((p, fd):= None)"
|
|
|
625 |
| "socket_state (CreateSock p af st fd ino # \<tau>) =
|
|
|
626 |
(socket_state \<tau>) ((p, fd) := Some SS_create)"
|
|
|
627 |
| "socket_state (Bind p fd addr # \<tau>) =
|
|
|
628 |
(socket_state \<tau>) ((p, fd) := Some SS_bind)"
|
|
|
629 |
| "socket_state (Connect p fd addr # \<tau>) =
|
|
|
630 |
(socket_state \<tau>) ((p, fd) := Some (SS_trans Trans_RS))"
|
|
|
631 |
| "socket_state (Listen p fd # \<tau>) =
|
|
|
632 |
(socket_state \<tau>) ((p, fd) := Some SS_listen)"
|
|
|
633 |
| "socket_state (Accept p fd addr lport' fd' ino # \<tau>) =
|
|
|
634 |
(socket_state \<tau>) ((p, fd') := Some (SS_trans Trans_RS))"
|
|
|
635 |
| "socket_state (Shutdown p fd sh # \<tau>) =
|
|
|
636 |
(socket_state \<tau>) ((p, fd) := update_with_shuthow (socket_state \<tau> (p, fd)) sh)"
|
|
|
637 |
| "socket_state (Clone p p' fds # \<tau>) =
|
|
|
638 |
(\<lambda> (p'', fd). if (p'' = p' \<and> fd \<in> fds) then socket_state \<tau> (p, fd)
|
|
|
639 |
else if (p'' = p') then None
|
|
|
640 |
else socket_state \<tau> (p'', fd))"
|
|
|
641 |
| "socket_state (Execve p f fds # \<tau>) =
|
|
|
642 |
(\<lambda> (p', fd). if (p' = p \<and> fd \<in> fds) then socket_state \<tau> (p, fd)
|
|
|
643 |
else if (p' = p) then None
|
|
|
644 |
else socket_state \<tau> (p', fd))"
|
|
|
645 |
| "socket_state (Kill p\<^isub>1 p\<^isub>2 # \<tau>) =
|
|
|
646 |
(\<lambda> (p, fd). if (p = p\<^isub>2) then None else socket_state \<tau> (p, fd))"
|
|
|
647 |
| "socket_state (Exit p # \<tau>) =
|
|
|
648 |
(\<lambda> (p', fd'). if (p = p') then None else socket_state \<tau> (p', fd'))"
|
|
|
649 |
| "socket_state (e # \<tau>) = socket_state \<tau>"
|
|
|
650 |
|
|
|
651 |
definition socket_in_trans :: "t_state \<Rightarrow> t_socket \<Rightarrow> bool"
|
|
|
652 |
where
|
|
|
653 |
"socket_in_trans \<tau> s \<equiv> (case (socket_state \<tau> s) of
|
|
|
654 |
Some st \<Rightarrow> (case st of
|
|
|
655 |
SS_trans para \<Rightarrow> True
|
|
|
656 |
| _ \<Rightarrow> False)
|
|
|
657 |
| _ \<Rightarrow> False)"
|
|
|
658 |
|
|
|
659 |
definition socket_in_sending :: "t_state \<Rightarrow> t_socket \<Rightarrow> bool"
|
|
|
660 |
where
|
|
|
661 |
"socket_in_sending \<tau> s \<equiv> (socket_state \<tau> s = Some (SS_trans Trans_Send)) \<or> (socket_state \<tau> s = Some (SS_trans Trans_RS))"
|
|
|
662 |
|
|
|
663 |
definition socket_in_recving :: "t_state \<Rightarrow> t_socket \<Rightarrow> bool"
|
|
|
664 |
where
|
|
|
665 |
"socket_in_recving \<tau> s \<equiv> (socket_state \<tau> s = Some (SS_trans Trans_Recv)) \<or> (socket_state \<tau> s = Some (SS_trans Trans_RS))"
|
|
|
666 |
|
|
|
667 |
|
|
|
668 |
(******* admissable check by the OS *******)
|
|
|
669 |
fun os_grant :: "t_state \<Rightarrow> t_event \<Rightarrow> bool"
|
|
|
670 |
where
|
|
|
671 |
"os_grant \<tau> (Open p f flags fd inumopt) = (
|
|
|
672 |
case inumopt of
|
|
|
673 |
Some ino \<Rightarrow>
|
|
|
674 |
(p \<in> current_procs \<tau> \<and> f \<notin> current_files \<tau> \<and>
|
|
|
675 |
(\<exists> pf. parent f = Some pf \<and> is_dir \<tau> pf \<and> pf \<notin> files_hung_by_del \<tau>) \<and>
|
|
|
676 |
is_creat_flag flags \<and> fd \<notin> (current_proc_fds \<tau> p) \<and> ino \<notin> (current_inode_nums \<tau>))
|
|
|
677 |
| None \<Rightarrow>
|
|
|
678 |
(p \<in> current_procs \<tau> \<and> \<not> is_creat_excl_flag flags \<and> is_file \<tau> f \<and>
|
|
|
679 |
fd \<notin> (current_proc_fds \<tau> p)) )"
|
|
|
680 |
(*(if (is_dir \<tau> f) then (is_dir_flag flags \<and> \<not> is_write_flag flags) else (\<not> is_dir_flag flags)),
|
|
|
681 |
here open is not applied to directories, readdir is for that, but it is not security-related *)
|
|
|
682 |
| "os_grant \<tau> (CloseFd p fd) =
|
|
|
683 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p)"
|
|
|
684 |
| "os_grant \<tau> (UnLink p f) =
|
|
|
685 |
(p \<in> current_procs \<tau> \<and> is_file \<tau> f \<and> f \<notin> files_hung_by_del \<tau>)"
|
|
|
686 |
| "os_grant \<tau> (Rmdir p f) =
|
|
|
687 |
(p \<in> current_procs \<tau> \<and> dir_is_empty \<tau> f \<and> f \<notin> files_hung_by_del \<tau> \<and> f \<noteq> [])" (* root file cannot be deleted *)
|
|
|
688 |
| "os_grant \<tau> (Mkdir p f ino) =
|
|
|
689 |
(p \<in> current_procs \<tau> \<and> f \<notin> current_files \<tau> \<and>
|
|
|
690 |
(\<exists> pf. parent f = Some pf \<and> is_dir \<tau> pf \<and> pf \<notin> files_hung_by_del \<tau>) \<and>
|
|
|
691 |
ino \<notin> (current_inode_nums \<tau>))"
|
|
|
692 |
| "os_grant \<tau> (LinkHard p f\<^isub>1 f\<^isub>2) =
|
|
|
693 |
(p \<in> current_procs \<tau> \<and> is_file \<tau> f\<^isub>1 \<and> f\<^isub>2 \<notin> current_files \<tau> \<and>
|
|
|
694 |
(\<exists> pf\<^isub>2. parent f\<^isub>2 = Some pf\<^isub>2 \<and> is_dir \<tau> pf\<^isub>2 \<and> pf\<^isub>2 \<notin> files_hung_by_del \<tau>))"
|
|
|
695 |
| "os_grant \<tau> (Truncate p f len) =
|
|
|
696 |
(p \<in> current_procs \<tau> \<and> is_file \<tau> f)"
|
|
|
697 |
(*
|
|
|
698 |
| "os_grant \<tau> (FTruncate p fd len) =
|
|
|
699 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p \<and>
|
|
|
700 |
(\<exists> f. file_of_proc_fd \<tau> p fd = Some f \<and> f \<in> current_files \<tau> \<and> is_file \<tau> f) \<and>
|
|
|
701 |
(\<exists> flags. flags_of_proc_fd \<tau> p fd = Some flags \<and> is_write_flag flags))"
|
|
|
702 |
*)
|
|
|
703 |
| "os_grant \<tau> (ReadFile p fd) =
|
|
|
704 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p \<and>
|
|
|
705 |
(\<exists> f. file_of_proc_fd \<tau> p fd = Some f \<and> f \<in> current_files \<tau>) \<and>
|
|
|
706 |
(\<exists> flags. flags_of_proc_fd \<tau> p fd = Some flags \<and> is_read_flag flags))"
|
|
|
707 |
| "os_grant \<tau> (WriteFile p fd) =
|
|
|
708 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p \<and>
|
|
|
709 |
(\<exists> f. file_of_proc_fd \<tau> p fd = Some f \<and> f \<in> current_files \<tau>) \<and>
|
|
|
710 |
(\<exists> flags. flags_of_proc_fd \<tau> p fd = Some flags \<and> is_write_flag flags))"
|
|
|
711 |
| "os_grant \<tau> (Execve p f fds) =
|
|
|
712 |
(p \<in> current_procs \<tau> \<and> is_file \<tau> f \<and> fds \<subseteq> proc_file_fds \<tau> p)" (* file_at_writing_by \<tau> f = {} \<and> fds \<subseteq> current_proc_fds \<tau> p *)
|
|
|
713 |
(*
|
|
|
714 |
| "os_grant \<tau> (Rename p f\<^isub>2 f\<^isub>3) =
|
|
|
715 |
(p \<in> current_procs \<tau> \<and> f\<^isub>2 \<in> current_files \<tau> \<and> \<not>(f\<^isub>2 \<preceq> f\<^isub>3) \<and> f\<^isub>3 \<notin> current_files \<tau> \<and>
|
|
|
716 |
(\<exists> pf\<^isub>3. parent f\<^isub>3 = Some pf\<^isub>3 \<and> pf\<^isub>3 \<in> current_files \<tau> \<and> is_dir \<tau> pf\<^isub>3 \<and>
|
|
|
717 |
pf\<^isub>3 \<notin> files_hung_by_del \<tau>) )"
|
|
|
718 |
*)
|
|
|
719 |
| "os_grant \<tau> (CreateMsgq p q) =
|
|
|
720 |
(p \<in> current_procs \<tau> \<and> q \<notin> (current_msgqs \<tau>))"
|
|
|
721 |
| "os_grant \<tau> (SendMsg p q m) =
|
|
|
722 |
(p \<in> current_procs \<tau> \<and> q \<in> current_msgqs \<tau> \<and> m \<notin> (set (msgs_of_queue \<tau> q)))"
|
|
|
723 |
| "os_grant \<tau> (RecvMsg p q m) =
|
|
|
724 |
(p \<in> current_procs \<tau> \<and> q \<in> current_msgqs \<tau> \<and> m = hd (msgs_of_queue \<tau> q) \<and> msgs_of_queue \<tau> q \<noteq> [])"
|
|
|
725 |
| "os_grant \<tau> (RemoveMsgq p q) =
|
|
|
726 |
(p \<in> current_procs \<tau> \<and> q \<in> current_msgqs \<tau>)"
|
|
|
727 |
(*
|
|
|
728 |
| "os_grant \<tau> (CreateShM p h) =
|
|
|
729 |
(p \<in> current_procs \<tau> \<and> h \<notin> (current_shms \<tau>))"
|
|
|
730 |
| "os_grant \<tau> (Attach p h flag) =
|
|
|
731 |
(p \<in> current_procs \<tau> \<and> h \<in> current_shms \<tau> \<and> \<not> (\<exists> flag. (p, flag) \<in> procs_of_shm \<tau> h))"
|
|
|
732 |
| "os_grant \<tau> (Detach p h) =
|
|
|
733 |
(p \<in> current_procs \<tau> \<and> h \<in> current_shms \<tau> \<and> (\<exists> flag. (p, flag) \<in> procs_of_shm \<tau> h))"
|
|
|
734 |
| "os_grant \<tau> (DeleteShM p h) =
|
|
|
735 |
(p \<in> current_procs \<tau> \<and> h \<in> current_shms \<tau>)"
|
|
|
736 |
*)
|
|
|
737 |
| "os_grant \<tau> (CreateSock p af st fd ino) =
|
|
|
738 |
(p \<in> current_procs \<tau> \<and> af = AF_INET \<and> fd \<notin> (current_proc_fds \<tau> p) \<and>
|
|
|
739 |
ino \<notin> (current_inode_nums \<tau>))"
|
|
|
740 |
| "os_grant \<tau> (Accept p fd addr port fd' ino) =
|
|
|
741 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p \<and> (p, fd) \<in> current_sockets \<tau> \<and>
|
|
|
742 |
fd' \<notin> (current_proc_fds \<tau> p) \<and> socket_state \<tau> (p, fd) = Some SS_listen \<and>
|
|
|
743 |
is_tcp_sock \<tau> (p, fd) \<and> ino \<notin> (current_inode_nums \<tau>))"
|
|
|
744 |
| "os_grant \<tau> (Bind p fd addr) =
|
|
|
745 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p \<and> (p, fd) \<in> current_sockets \<tau> \<and>
|
|
|
746 |
socket_state \<tau> (p, fd) = Some SS_create)" (* ?? !! (case addr of INET_ADDR ip port \<Rightarrow> ip \<in> local_ipaddrs)) *)
|
|
|
747 |
| "os_grant \<tau> (Connect p fd addr) =
|
|
|
748 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p \<and> (p, fd) \<in> current_sockets \<tau> \<and>
|
|
|
749 |
socket_state \<tau> (p, fd) = Some SS_bind)"
|
|
|
750 |
| "os_grant \<tau> (Listen p fd) =
|
|
|
751 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p \<and> is_tcp_sock \<tau> (p, fd) \<and>
|
|
|
752 |
socket_state \<tau> (p, fd) = Some SS_bind)" (* Listen and Accept should only be used for TCP sever side *)
|
|
|
753 |
| "os_grant \<tau> (SendSock p fd) =
|
|
|
754 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p \<and> (p, fd) \<in> current_sockets \<tau> \<and>
|
|
|
755 |
socket_in_sending \<tau> (p, fd))"
|
|
|
756 |
| "os_grant \<tau> (RecvSock p fd) =
|
|
|
757 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p \<and> (p, fd) \<in> current_sockets \<tau> \<and>
|
|
|
758 |
socket_in_recving \<tau> (p, fd))"
|
|
|
759 |
| "os_grant \<tau> (Shutdown p fd sh) =
|
|
|
760 |
(p \<in> current_procs \<tau> \<and> fd \<in> current_proc_fds \<tau> p \<and> (p, fd) \<in> current_sockets \<tau> \<and>
|
|
|
761 |
socket_in_trans \<tau> (p, fd))"
|
|
|
762 |
(*
|
|
|
763 |
| "os_grant \<tau> (ChangeOwner p u) = (p \<in> current_procs \<tau> \<and> u \<in> current_users \<tau>)"
|
|
|
764 |
*)
|
|
|
765 |
| "os_grant \<tau> (Clone p p' fds) =
|
|
|
766 |
(p \<in> current_procs \<tau> \<and> p' \<notin> (current_procs \<tau>) \<and> fds \<subseteq> proc_file_fds \<tau> p)" (*\<and>
|
|
|
767 |
(\<forall> h \<in> shms. \<exists> flag. (p, flag) \<in> procs_of_shm \<tau> h) current_proc_fds \<rightarrow> proc_file_fds *)
|
|
|
768 |
| "os_grant \<tau> (Kill p\<^isub>1 p\<^isub>2) =
|
|
|
769 |
(p\<^isub>1 \<in> current_procs \<tau> \<and> p\<^isub>2 \<in> current_procs \<tau>)" (* a process can kill itself right? *)
|
|
|
770 |
| "os_grant \<tau> (Exit p) =
|
|
|
771 |
(p \<in> current_procs \<tau>)"
|
|
|
772 |
| "os_grant \<tau> (Ptrace p\<^isub>1 p\<^isub>2) =
|
|
|
773 |
(p\<^isub>1 \<in> current_procs \<tau> \<and> p\<^isub>2 \<in> current_procs \<tau>)" (* a process can trace itself right? *)
|
|
|
774 |
|
|
|
775 |
fun alive :: "t_state \<Rightarrow> t_object \<Rightarrow> bool"
|
|
|
776 |
where
|
|
|
777 |
"alive s (O_proc p) = (p \<in> current_procs s)"
|
|
|
778 |
| "alive s (O_file f) = (is_file s f)"
|
|
|
779 |
| "alive s (O_dir f) = (is_dir s f)"
|
|
|
780 |
| "alive s (O_fd p fd) = (fd \<in> current_proc_fds s p)"
|
|
|
781 |
| "alive s (O_node n) = (n \<in> init_nodes)"
|
|
|
782 |
| "alive s (O_tcp_sock k) = (is_tcp_sock s k)"
|
|
|
783 |
| "alive s (O_udp_sock k) = (is_udp_sock s k)"
|
|
|
784 |
(*
|
|
|
785 |
| "alive s (O_shm h) = (h \<in> current_shms s)"
|
|
|
786 |
*)
|
|
|
787 |
| "alive s (O_msgq q) = (q \<in> current_msgqs s)"
|
|
|
788 |
| "alive s (O_msg q m) = (m \<in> set (msgs_of_queue s q) \<and> q \<in> current_msgqs s)"
|
|
|
789 |
|
|
|
790 |
(* deleted objects should be "taintable" objects, objects like fd should not be in consideration *)
|
|
|
791 |
(* actually, deleted should be renamed as "vanished", cause "exit/closefd" *)
|
|
|
792 |
fun deleted :: "t_object \<Rightarrow> t_event list \<Rightarrow> bool"
|
|
|
793 |
where
|
|
|
794 |
"deleted obj [] = False"
|
|
|
795 |
| "deleted obj (Kill p p' # s) = (obj = O_proc p' \<or> deleted obj s)"
|
|
|
796 |
(*
|
|
|
797 |
| "deleted obj (Kill p p' # s) = ((obj = O_proc p') \<or> (\<exists> fd \<in> current_proc_fds s p'. obj = O_fd p' fd) \<or>
|
|
|
798 |
(\<exists> fd. obj = O_tcp_sock (p', fd) \<and> is_tcp_sock s (p',fd)) \<or>
|
|
|
799 |
(\<exists> fd. obj = O_udp_sock (p', fd) \<and> is_udp_sock s (p',fd)) \<or>
|
|
|
800 |
deleted obj s)"
|
|
|
801 |
| "deleted obj (CloseFd p fd # s) = ((obj = O_fd p fd) \<or> (obj = O_tcp_sock (p,fd) \<and> is_tcp_sock s (p,fd)) \<or>
|
|
|
802 |
(obj = O_udp_sock (p,fd) \<and> is_udp_sock s (p, fd)) \<or>
|
|
|
803 |
(\<exists> f. obj = O_file f \<and> proc_fd_of_file s f = {(p, fd)} \<and>
|
|
|
804 |
f \<in> files_hung_by_del s) \<or> deleted obj s)"
|
|
|
805 |
| "deleted obj (Execve p f fds # s) = ((\<exists> fd \<in> current_proc_fds s p. obj = O_fd p fd \<and> fd \<notin> fds) \<or>
|
|
|
806 |
(\<exists> fd. obj = O_tcp_sock (p, fd) \<and> is_tcp_sock s (p,fd) \<and> fd \<notin> fds) \<or>
|
|
|
807 |
(\<exists> fd. obj = O_udp_sock (p, fd) \<and> is_udp_sock s (p,fd) \<and> fd \<notin> fds) \<or>
|
|
|
808 |
deleted obj s)"
|
|
|
809 |
| "deleted obj (Clone p p' fds # s) = ((\<exists> fd \<in> current_proc_fds s p. obj = O_fd p' fd \<and> fd \<notin> fds) \<or>
|
|
|
810 |
deleted obj s)"
|
|
|
811 |
*)
|
|
|
812 |
| "deleted obj (CloseFd p fd # s) = ((\<exists> f. obj = O_file f \<and> proc_fd_of_file s f = {(p, fd)} \<and>
|
|
|
813 |
f \<in> files_hung_by_del s) \<or> deleted obj s)"
|
|
|
814 |
| "deleted obj (UnLink p f # s) = ((proc_fd_of_file s f = {} \<and> obj = O_file f) \<or> deleted obj s)"
|
|
|
815 |
| "deleted obj (Rmdir p f # s) = ((obj = O_dir f) \<or> deleted obj s)"
|
|
|
816 |
(*
|
|
|
817 |
| "deleted obj (Exit p # s) = ((obj = O_proc p) \<or> (\<exists> fd \<in> current_proc_fds s p. obj = O_fd p fd) \<or>
|
|
|
818 |
(\<exists> fd. obj = O_tcp_sock (p, fd) \<and> is_tcp_sock s (p,fd)) \<or>
|
|
|
819 |
(\<exists> fd. obj = O_udp_sock (p, fd) \<and> is_udp_sock s (p,fd)) \<or> deleted obj s)"
|
|
|
820 |
*)
|
|
|
821 |
(*
|
|
|
822 |
| "deleted obj (Rename p f f' # s) =
|
|
|
823 |
(case obj of
|
|
|
824 |
O_file f'' \<Rightarrow> f \<preceq> f'' \<or> deleted obj s
|
|
|
825 |
| O_dir f'' \<Rightarrow> f \<preceq> f'' \<or> deleted obj s
|
|
|
826 |
| _ \<Rightarrow> deleted obj s)"
|
|
|
827 |
*)
|
|
|
828 |
| "deleted obj (RemoveMsgq p q # s) = (obj = O_msgq q \<or> deleted obj s)"
|
|
|
829 |
(*
|
|
|
830 |
| "deleted obj (DeleteShM p h # s) = (obj = O_shm h \<or> deleted obj s)"
|
|
|
831 |
|
|
|
832 |
| "deleted obj (RecvMsg p q m # s) = (obj = O_msg q m \<or> deleted obj s)"
|
|
|
833 |
*)
|
|
|
834 |
| "deleted obj (_ # s) = deleted obj s"
|
|
|
835 |
|
|
|
836 |
(* actually, died should be renamed as "vanished", cause "exit/closefd" *)
|
|
|
837 |
fun died :: "t_object \<Rightarrow> t_event list \<Rightarrow> bool"
|
|
|
838 |
where
|
|
|
839 |
"died obj [] = False"
|
|
|
840 |
| "died obj (Kill p p' # s) = ((obj = O_proc p') \<or> (\<exists> fd \<in> current_proc_fds s p'. obj = O_fd p' fd) \<or>
|
|
|
841 |
(\<exists> fd. obj = O_tcp_sock (p', fd) \<and> is_tcp_sock s (p',fd)) \<or>
|
|
|
842 |
(\<exists> fd. obj = O_udp_sock (p', fd) \<and> is_udp_sock s (p',fd)) \<or>
|
|
|
843 |
died obj s)"
|
|
|
844 |
| "died obj (CloseFd p fd # s) = ((obj = O_fd p fd) \<or> (obj = O_tcp_sock (p,fd) \<and> is_tcp_sock s (p,fd)) \<or>
|
|
|
845 |
(obj = O_udp_sock (p,fd) \<and> is_udp_sock s (p, fd)) \<or>
|
|
|
846 |
(\<exists> f. obj = O_file f \<and> proc_fd_of_file s f = {(p, fd)} \<and>
|
|
|
847 |
f \<in> files_hung_by_del s) \<or> died obj s)"
|
|
|
848 |
| "died obj (Execve p f fds # s) = ((\<exists> fd \<in> current_proc_fds s p. obj = O_fd p fd \<and> fd \<notin> fds) \<or>
|
|
|
849 |
(\<exists> fd. obj = O_tcp_sock (p, fd) \<and> is_tcp_sock s (p,fd) \<and> fd \<notin> fds) \<or>
|
|
|
850 |
(\<exists> fd. obj = O_udp_sock (p, fd) \<and> is_udp_sock s (p,fd) \<and> fd \<notin> fds) \<or>
|
|
|
851 |
died obj s)"
|
|
|
852 |
| "died obj (Clone p p' fds # s) = ((\<exists> fd \<in> current_proc_fds s p. obj = O_fd p' fd \<and> fd \<notin> fds) \<or>
|
|
|
853 |
died obj s)"
|
|
|
854 |
| "died obj (UnLink p f # s) = ((proc_fd_of_file s f = {} \<and> obj = O_file f) \<or> died obj s)"
|
|
|
855 |
| "died obj (Rmdir p f # s) = ((obj = O_dir f) \<or> died obj s)"
|
|
|
856 |
| "died obj (Exit p # s) = ((obj = O_proc p) \<or> (\<exists> fd \<in> current_proc_fds s p. obj = O_fd p fd) \<or>
|
|
|
857 |
(\<exists> fd. obj = O_tcp_sock (p, fd) \<and> is_tcp_sock s (p,fd)) \<or>
|
|
|
858 |
(\<exists> fd. obj = O_udp_sock (p, fd) \<and> is_udp_sock s (p,fd)) \<or> died obj s)"
|
|
|
859 |
(*
|
|
|
860 |
| "died obj (Rename p f f' # s) =
|
|
|
861 |
(case obj of
|
|
|
862 |
O_file f'' \<Rightarrow> f \<preceq> f'' \<or> died obj s
|
|
|
863 |
| O_dir f'' \<Rightarrow> f \<preceq> f'' \<or> died obj s
|
|
|
864 |
| _ \<Rightarrow> died obj s)"
|
|
|
865 |
*)
|
|
|
866 |
| "died obj (RemoveMsgq p q # s) = (obj = O_msgq q \<or> (\<exists> m. obj = O_msg q m ) \<or> died obj s)"
|
|
|
867 |
(*
|
|
|
868 |
| "died obj (DeleteShM p h # s) = (obj = O_shm h \<or> died obj s)"
|
|
|
869 |
*)
|
|
|
870 |
| "died obj (RecvMsg p q m # s) = (obj = O_msg q m \<or> died obj s)"
|
|
|
871 |
| "died obj (_ # s) = died obj s"
|
|
|
872 |
|
|
|
873 |
end
|
|
|
874 |
|
|
|
875 |
|
|
|
876 |
|
|
|
877 |
locale flask = init +
|
|
|
878 |
fixes
|
|
|
879 |
(***************** Policy-specific Parameters *************)
|
|
|
880 |
type_transition_rules :: "type_transition_rule_list_t"
|
|
|
881 |
and allowed_rules :: "allowed_rule_list_t"
|
|
|
882 |
and role_allowed_rules :: "role_allow_rule_list_t"
|
|
|
883 |
and role_declaration_rules :: "role_declarations_list_t"
|
|
|
884 |
and role_transition_rules:: "role_transition_rule_list_t"
|
|
|
885 |
and constrains_rules :: "constrains_list_t"
|
|
|
886 |
|
|
|
887 |
and init_type_of_obj :: "t_object \<rightharpoonup> type_t"
|
|
|
888 |
and init_user_of_obj :: "t_object \<rightharpoonup> user_t"
|
|
|
889 |
and init_role_of_proc :: "t_process \<rightharpoonup> role_t"
|
|
|
890 |
|
|
|
891 |
assumes
|
|
|
892 |
|
|
|
893 |
init_obj_has_type: "\<And> obj. init_alive obj \<Longrightarrow> \<exists> t. init_type_of_obj obj = Some t"
|
|
|
894 |
and init_type_has_obj: "\<And> obj t. init_type_of_obj obj = Some t \<Longrightarrow> init_alive obj"
|
|
|
895 |
and init_obj_has_user: "\<And> obj. init_alive obj \<Longrightarrow> \<exists> u. init_user_of_obj obj = Some u"
|
|
|
896 |
and init_user_has_obj: "\<And> obj u. init_user_of_obj obj = Some u \<Longrightarrow> init_alive obj \<and> u \<in> init_users"
|
|
|
897 |
and init_proc_has_role: "bidirect_in_init init_procs init_role_of_proc"
|
|
|
898 |
|
|
|
899 |
begin
|
|
|
900 |
|
|
|
901 |
(*********** policy-specified computations, not-event-related ************)
|
|
|
902 |
|
|
|
903 |
(* security_transition_sid : type_transition_rules
|
|
|
904 |
* It's a system-call offered by security-server? So access-control-checked too?
|
|
|
905 |
* according to selinux, it deals only with execve and file-creation
|
|
|
906 |
* is_execve: if is the execve case
|
|
|
907 |
* is_file: if is the creation of file/dir
|
|
|
908 |
* change from is_execve to is_file, because the new message by default use
|
|
|
909 |
* the type of the sending process too.
|
|
|
910 |
*)
|
|
|
911 |
|
|
|
912 |
definition type_transition :: "type_t \<Rightarrow> type_t \<Rightarrow> security_class_t \<Rightarrow> bool \<Rightarrow> type_t"
|
|
|
913 |
where
|
|
|
914 |
"type_transition st rt tc IS_file \<equiv> (
|
|
|
915 |
case (lookup type_transition_rules
|
|
|
916 |
(\<lambda> (stp, rtp, tc', dt). patt_match stp st \<and> patt_match rtp rt \<and> tc = tc')) of
|
|
|
917 |
None \<Rightarrow> (if IS_file then rt else st)
|
|
|
918 |
| Some (stp,rtp,tc',dt) \<Rightarrow> dt)"
|
|
|
919 |
|
|
|
920 |
(* allowed_rule_list *)
|
|
|
921 |
definition TE_allow :: "type_t \<Rightarrow> type_t \<Rightarrow> security_class_t \<Rightarrow> permission_t \<Rightarrow> bool"
|
|
|
922 |
where
|
|
|
923 |
"TE_allow st tt tc perm \<equiv> member allowed_rules
|
|
|
924 |
(\<lambda> (stp, ttp, tc', pp). tc = tc' \<and> patt_match stp st \<and> patt_match_self ttp tt st \<and>
|
|
|
925 |
patt_match pp perm)"
|
|
|
926 |
|
|
|
927 |
(* role_allow_rule_list_t *)
|
|
|
928 |
definition role_transition :: "role_t \<Rightarrow> type_t \<Rightarrow> role_t option"
|
|
|
929 |
where
|
|
|
930 |
"role_transition r t \<equiv>
|
|
|
931 |
(case (lookup role_transition_rules (\<lambda> (pr, ft, nr). pr = r \<and> t = ft)) of
|
|
|
932 |
None \<Rightarrow> None
|
|
|
933 |
| Some (pr,ft,nr) \<Rightarrow> Some nr)"
|
|
|
934 |
|
|
|
935 |
definition role_decl_check :: "role_t \<Rightarrow> type_t \<Rightarrow> bool"
|
|
|
936 |
where
|
|
|
937 |
"role_decl_check r t \<equiv> member role_declaration_rules (\<lambda> (role, types). r = role \<and> t \<in> types)"
|
|
|
938 |
|
|
|
939 |
definition role_allow :: "role_t \<Rightarrow> role_t \<Rightarrow> bool"
|
|
|
940 |
where
|
|
|
941 |
"role_allow r nr \<equiv> member role_allowed_rules (\<lambda> (from, to). r \<in> from \<and> nr \<in> to)"
|
|
|
942 |
|
|
|
943 |
(* here don't use lookup, because constrains should all be satisfied,
|
|
|
944 |
* while transitions always choose the "first" one
|
|
|
945 |
*)
|
|
|
946 |
definition constrains_satisfied ::
|
|
|
947 |
"security_context_t \<Rightarrow> security_context_t \<Rightarrow> security_class_t \<Rightarrow> permission_t \<Rightarrow> bool"
|
|
|
948 |
where
|
|
|
949 |
"constrains_satisfied sctxt tctxt c p \<equiv>
|
|
|
950 |
(fold (\<lambda> (cset, pset, P) res. res \<and> (if (c \<in> cset \<and> p \<in> pset)
|
|
|
951 |
then P sctxt tctxt else True))
|
|
|
952 |
constrains_rules True)"
|
|
|
953 |
|
|
|
954 |
(* main interface for TE_allow check and constrains check *)
|
|
|
955 |
fun permission_check::
|
|
|
956 |
"security_context_t \<Rightarrow> security_context_t \<Rightarrow> security_class_t \<Rightarrow> permission_t \<Rightarrow> bool"
|
|
|
957 |
where
|
|
|
958 |
"permission_check (su,sr,st) (tu,tr,tt) c p =
|
|
|
959 |
((TE_allow st tt c p) \<and> (constrains_satisfied (su,sr,st) (tu,tr,tt) c p))"
|
|
|
960 |
declare permission_check.simps [simp del]
|
|
|
961 |
|
|
|
962 |
(* no changeowner ??? : by adding "relabel obj sectxt" event or "login" event?
|
|
|
963 |
* or this explanation: the running of the sever will not grant any login but running
|
|
|
964 |
* of the server-programs!
|
|
|
965 |
*)
|
|
|
966 |
|
|
|
967 |
fun user_of_obj :: "t_state \<Rightarrow> t_object \<Rightarrow> user_t option"
|
|
|
968 |
where
|
|
|
969 |
"user_of_obj [] = init_user_of_obj"
|
|
|
970 |
| "user_of_obj (Clone p p' fds # s) =
|
|
|
971 |
(\<lambda> obj. case obj of
|
|
|
972 |
O_proc p'' \<Rightarrow> if (p'' = p') then user_of_obj s (O_proc p) else user_of_obj s obj
|
|
|
973 |
| O_fd p'' fd \<Rightarrow> if (p'' = p' \<and> fd \<in> fds) then user_of_obj s (O_fd p fd)
|
|
|
974 |
else if (p'' = p') then None
|
|
|
975 |
else user_of_obj s obj
|
|
|
976 |
| O_tcp_sock (p'',fd) \<Rightarrow> if (p'' = p' \<and> fd \<in> fds) then user_of_obj s (O_tcp_sock (p, fd))
|
|
|
977 |
else if (p'' = p') then None
|
|
|
978 |
else user_of_obj s obj
|
|
|
979 |
| O_udp_sock (p'',fd) \<Rightarrow> if (p'' = p' \<and> fd \<in> fds) then user_of_obj s (O_udp_sock (p, fd))
|
|
|
980 |
else if (p'' = p') then None
|
|
|
981 |
else user_of_obj s obj
|
|
|
982 |
| _ \<Rightarrow> user_of_obj s obj)"
|
|
|
983 |
| "user_of_obj (Open p f flags fd iopt # s) =
|
|
|
984 |
(case iopt of
|
|
|
985 |
None \<Rightarrow> (user_of_obj s) ((O_fd p fd) := user_of_obj s (O_proc p))
|
|
|
986 |
| _ \<Rightarrow> ((user_of_obj s) ((O_fd p fd) := user_of_obj s (O_proc p)))
|
|
|
987 |
((O_file f) := user_of_obj s (O_proc p)))"
|
|
|
988 |
| "user_of_obj (Mkdir p f inum # s) =
|
|
|
989 |
(user_of_obj s) ((O_dir f) := user_of_obj s (O_proc p))"
|
|
|
990 |
| "user_of_obj (LinkHard p f f' # s) =
|
|
|
991 |
(user_of_obj s) ((O_file f') := user_of_obj s (O_proc p))"
|
|
|
992 |
(*
|
|
|
993 |
| "user_of_obj (Rename p f2 f3 # s) =
|
|
|
994 |
(\<lambda> obj. case obj of
|
|
|
995 |
O_file f \<Rightarrow> if (f3 \<preceq> f) then user_of_obj s (O_file (file_before_rename f2 f3 f))
|
|
|
996 |
else user_of_obj s obj
|
|
|
997 |
| O_dir f \<Rightarrow> if (f3 \<preceq> f) then user_of_obj s (O_dir (file_before_rename f2 f3 f))
|
|
|
998 |
else user_of_obj s obj
|
|
|
999 |
| _ \<Rightarrow> user_of_obj s obj)"
|
|
|
1000 |
*)
|
|
|
1001 |
| "user_of_obj (CreateMsgq p q # s) =
|
|
|
1002 |
(user_of_obj s) ((O_msgq q) := user_of_obj s (O_proc p))"
|
|
|
1003 |
| "user_of_obj (SendMsg p q m # s) =
|
|
|
1004 |
(user_of_obj s) ((O_msg q m) := user_of_obj s (O_proc p))"
|
|
|
1005 |
(*
|
|
|
1006 |
| "user_of_obj (CreateShM p h # s) =
|
|
|
1007 |
(user_of_obj s) ((O_shm h) := user_of_obj s (O_proc p))"
|
|
|
1008 |
*)
|
|
|
1009 |
| "user_of_obj (CreateSock p af st fd inum # s) = (\<lambda> obj.
|
|
|
1010 |
case obj of
|
|
|
1011 |
O_fd p' fd' \<Rightarrow> if (p' = p \<and> fd' = fd) then user_of_obj s (O_proc p)
|
|
|
1012 |
else user_of_obj s obj
|
|
|
1013 |
| O_tcp_sock (p', fd') \<Rightarrow> if (p' = p \<and> fd' = fd \<and> st = STREAM) then user_of_obj s (O_proc p)
|
|
|
1014 |
else user_of_obj s obj
|
|
|
1015 |
| O_udp_sock (p', fd') \<Rightarrow> if (p' = p \<and> fd' = fd \<and> st = DGRAM) then user_of_obj s (O_proc p)
|
|
|
1016 |
else user_of_obj s obj
|
|
|
1017 |
| _ \<Rightarrow> user_of_obj s obj )"
|
|
|
1018 |
| "user_of_obj (Accept p fd addr port fd' inum # s) = (\<lambda> obj.
|
|
|
1019 |
case obj of
|
|
|
1020 |
O_fd p' fd'' \<Rightarrow> if (p' = p \<and> fd'' = fd') then user_of_obj s (O_proc p)
|
|
|
1021 |
else user_of_obj s obj
|
|
|
1022 |
| O_tcp_sock (p', fd'') \<Rightarrow> if (p' = p \<and> fd'' = fd') then user_of_obj s (O_proc p)
|
|
|
1023 |
else user_of_obj s obj
|
|
|
1024 |
| _ \<Rightarrow> user_of_obj s obj )"
|
|
|
1025 |
| "user_of_obj (_ # s) = user_of_obj s"
|
|
|
1026 |
|
|
|
1027 |
fun type_of_obj :: "t_state \<Rightarrow> (t_object \<Rightarrow> type_t option)"
|
|
|
1028 |
where
|
|
|
1029 |
"type_of_obj [] = init_type_of_obj"
|
|
|
1030 |
| "type_of_obj (Clone p p' fds # s) = (\<lambda> obj.
|
|
|
1031 |
case obj of
|
|
|
1032 |
O_proc p'' \<Rightarrow> if (p'' = p') then type_of_obj s (O_proc p) else type_of_obj s obj
|
|
|
1033 |
| O_fd p'' fd \<Rightarrow> if (p'' = p' \<and> fd \<in> fds) then type_of_obj s (O_fd p fd)
|
|
|
1034 |
else if (p'' = p') then None
|
|
|
1035 |
else type_of_obj s obj
|
|
|
1036 |
| O_tcp_sock (p'', fd) \<Rightarrow> if (p'' = p' \<and> fd \<in> fds) then type_of_obj s (O_tcp_sock (p, fd))
|
|
|
1037 |
else if (p'' = p') then None
|
|
|
1038 |
else type_of_obj s obj
|
|
|
1039 |
| O_udp_sock (p'', fd) \<Rightarrow> if (p'' = p' \<and> fd \<in> fds) then type_of_obj s (O_udp_sock (p, fd))
|
|
|
1040 |
else if (p'' = p') then None
|
|
|
1041 |
else type_of_obj s obj
|
|
|
1042 |
| _ \<Rightarrow> type_of_obj s obj )"
|
|
|
1043 |
| "type_of_obj (Execve p f fds # s) = (type_of_obj s) ((O_proc p) :=
|
|
|
1044 |
(case (type_of_obj s (O_proc p), type_of_obj s (O_file f)) of
|
|
|
1045 |
(Some tp, Some tf) \<Rightarrow> Some (type_transition tp tf C_process False)
|
|
|
1046 |
| _ \<Rightarrow> None) )"
|
|
|
1047 |
| "type_of_obj (Open p f flags fd (Some inum) # s) = ((type_of_obj s) ((O_file f) :=
|
|
|
1048 |
(case (parent f) of
|
|
|
1049 |
Some pf \<Rightarrow> (case (type_of_obj s (O_proc p), type_of_obj s (O_dir pf)) of
|
|
|
1050 |
(Some tp, Some tpf) \<Rightarrow> Some (type_transition tp tpf C_file True)
|
|
|
1051 |
| _ \<Rightarrow> None)
|
|
|
1052 |
| _ \<Rightarrow> None) )) ((O_fd p fd) :=
|
|
|
1053 |
type_of_obj s (O_proc p))"
|
|
|
1054 |
| "type_of_obj (Open p f flags fd None # s) = (type_of_obj s) ((O_fd p fd) :=
|
|
|
1055 |
type_of_obj s (O_proc p))"
|
|
|
1056 |
| "type_of_obj (Mkdir p f inum # s) = (type_of_obj s) ((O_dir f) :=
|
|
|
1057 |
(case (parent f) of
|
|
|
1058 |
Some pf \<Rightarrow> (case (type_of_obj s (O_proc p), type_of_obj s (O_dir pf)) of
|
|
|
1059 |
(Some tp, Some tpf) \<Rightarrow> Some (type_transition tp tpf C_dir True)
|
|
|
1060 |
| _ \<Rightarrow> None)
|
|
|
1061 |
| _ \<Rightarrow> None) )"
|
|
|
1062 |
| "type_of_obj (LinkHard p f f' # s) = (type_of_obj s) ((O_file f') :=
|
|
|
1063 |
(case (parent f') of
|
|
|
1064 |
Some pf \<Rightarrow> (case (type_of_obj s (O_proc p), type_of_obj s (O_dir pf)) of
|
|
|
1065 |
(Some tp, Some tpf) \<Rightarrow> Some (type_transition tp tpf C_file True)
|
|
|
1066 |
| _ \<Rightarrow> None)
|
|
|
1067 |
| _ \<Rightarrow> None) )"
|
|
|
1068 |
(*
|
|
|
1069 |
| "type_of_obj (Rename p f f' # s) = (\<lambda> obj.
|
|
|
1070 |
case obj of
|
|
|
1071 |
O_file f'' \<Rightarrow> (if (f' \<preceq> f'') then type_of_obj s (O_file (file_before_rename f f' f''))
|
|
|
1072 |
else type_of_obj s (O_file f''))
|
|
|
1073 |
| O_dir f'' \<Rightarrow> (if (f' \<preceq> f'') then type_of_obj s (O_file (file_before_rename f f' f''))
|
|
|
1074 |
else type_of_obj s (O_file f''))
|
|
|
1075 |
| _ \<Rightarrow> type_of_obj s obj )"
|
|
|
1076 |
*)
|
|
|
1077 |
| "type_of_obj (CreateMsgq p q # s) = (type_of_obj s) ((O_msgq q) :=
|
|
|
1078 |
(case (type_of_obj s (O_proc p)) of
|
|
|
1079 |
Some tp \<Rightarrow> Some tp
|
|
|
1080 |
| _ \<Rightarrow> None) )"
|
|
|
1081 |
| "type_of_obj (SendMsg p q m # s) = (type_of_obj s) ((O_msg q m) :=
|
|
|
1082 |
(case (type_of_obj s (O_proc p), type_of_obj s (O_msgq q)) of
|
|
|
1083 |
(Some tp, Some tq) \<Rightarrow> Some (type_transition tp tq C_msg False)
|
|
|
1084 |
| _ \<Rightarrow> None) )"
|
|
|
1085 |
(*
|
|
|
1086 |
| "type_of_obj (CreateShM p h # s) = (type_of_obj s) ((O_shm h) :=
|
|
|
1087 |
(case (type_of_obj s (O_proc p)) of
|
|
|
1088 |
Some tp \<Rightarrow> Some tp
|
|
|
1089 |
| _ \<Rightarrow> None) )"
|
|
|
1090 |
*)
|
|
|
1091 |
| "type_of_obj (CreateSock p af st fd inum # s) = (\<lambda> obj.
|
|
|
1092 |
case obj of
|
|
|
1093 |
O_fd p' fd' \<Rightarrow> if (p' = p \<and> fd' = fd) then type_of_obj s (O_proc p)
|
|
|
1094 |
else type_of_obj s obj
|
|
|
1095 |
| O_tcp_sock (p', fd') \<Rightarrow> if (p' = p \<and> fd' = fd \<and> st = STREAM) then type_of_obj s (O_proc p)
|
|
|
1096 |
else type_of_obj s obj
|
|
|
1097 |
| O_udp_sock (p', fd') \<Rightarrow> if (p' = p \<and> fd' = fd \<and> st = DGRAM) then type_of_obj s (O_proc p)
|
|
|
1098 |
else type_of_obj s obj
|
|
|
1099 |
| _ \<Rightarrow> type_of_obj s obj )"
|
|
|
1100 |
| "type_of_obj (Accept p fd addr port fd' inum # s) = (\<lambda> obj.
|
|
|
1101 |
case obj of
|
|
|
1102 |
O_fd p' fd'' \<Rightarrow> if (p' = p \<and> fd'' = fd') then type_of_obj s (O_proc p)
|
|
|
1103 |
else type_of_obj s obj
|
|
|
1104 |
| O_tcp_sock (p', fd'') \<Rightarrow> if (p' = p \<and> fd'' = fd') then type_of_obj s (O_proc p)
|
|
|
1105 |
else type_of_obj s obj
|
|
|
1106 |
| _ \<Rightarrow> type_of_obj s obj )"
|
|
|
1107 |
| "type_of_obj (_ # s) = type_of_obj s"
|
|
|
1108 |
|
|
|
1109 |
fun role_of_proc :: "t_state \<Rightarrow> (t_process \<Rightarrow> role_t option)"
|
|
|
1110 |
where
|
|
|
1111 |
"role_of_proc [] = init_role_of_proc"
|
|
|
1112 |
| "role_of_proc (Clone p p' fds # s) =
|
|
|
1113 |
(role_of_proc s) (p' := role_of_proc s p)"
|
|
|
1114 |
| "role_of_proc (Execve p f fds # s) = (role_of_proc s) (p :=
|
|
|
1115 |
(case (role_of_proc s p, type_of_obj s (O_file f)) of
|
|
|
1116 |
(Some r, Some ft) \<Rightarrow> role_transition r ft
|
|
|
1117 |
| _ \<Rightarrow> None) )"
|
|
|
1118 |
| "role_of_proc (_ # s) = role_of_proc s"
|
|
|
1119 |
|
|
|
1120 |
fun role_of_obj :: "t_state \<Rightarrow> t_object \<Rightarrow> role_t option"
|
|
|
1121 |
where
|
|
|
1122 |
"role_of_obj s (O_proc p) = role_of_proc s p"
|
|
|
1123 |
| "role_of_obj s _ = Some R_object" (* object_r *)
|
|
|
1124 |
|
|
|
1125 |
definition sectxt_of_obj :: "t_state \<Rightarrow> t_object \<Rightarrow> security_context_t option"
|
|
|
1126 |
where
|
|
|
1127 |
"sectxt_of_obj s obj = (
|
|
|
1128 |
case (user_of_obj s obj, role_of_obj s obj, type_of_obj s obj) of
|
|
|
1129 |
(Some u, Some r, Some t) \<Rightarrow> Some (u, r, t)
|
|
|
1130 |
| _ \<Rightarrow> None)"
|
|
|
1131 |
|
|
|
1132 |
fun init_role_of_obj :: "t_object \<Rightarrow> role_t option"
|
|
|
1133 |
where
|
|
|
1134 |
"init_role_of_obj (O_proc p) = init_role_of_proc p"
|
|
|
1135 |
| "init_role_of_obj _ = Some R_object"
|
|
|
1136 |
|
|
|
1137 |
definition init_sectxt_of_obj :: "t_object \<Rightarrow> security_context_t option"
|
|
|
1138 |
where
|
|
|
1139 |
"init_sectxt_of_obj obj \<equiv>
|
|
|
1140 |
(case (init_user_of_obj obj, init_role_of_obj obj, init_type_of_obj obj) of
|
|
|
1141 |
(Some u, Some r, Some t) \<Rightarrow> Some (u,r,t)
|
|
|
1142 |
| _ \<Rightarrow> None)"
|
|
|
1143 |
|
|
|
1144 |
definition sec_of_root :: "security_context_t"
|
|
|
1145 |
where
|
|
|
1146 |
"sec_of_root \<equiv> (case (init_user_of_obj (O_dir []), init_type_of_obj (O_dir [])) of
|
|
|
1147 |
(Some u, Some t) \<Rightarrow> (u, R_object, t))"
|
|
|
1148 |
|
|
|
1149 |
(******* flask granting ********
|
|
|
1150 |
* involves three kinds of rules:
|
|
|
1151 |
* 1. allow rule of types, allowed_rule_list_t, main
|
|
|
1152 |
* 2. allow rule of roles, role_allow_rule_list_t, mainly for execve call
|
|
|
1153 |
* 3. constrains, section 3.4.5, user-specifically defined.
|
|
|
1154 |
* Passed all these 3, then grant Yes, else No
|
|
|
1155 |
*)
|
|
|
1156 |
|
|
|
1157 |
definition search_check_allp :: "security_context_t \<Rightarrow> security_context_t set \<Rightarrow> bool"
|
|
|
1158 |
where
|
|
|
1159 |
"search_check_allp pctxt sectxts = (\<forall> sec \<in> sectxts. permission_check pctxt sec C_dir P_search)"
|
|
|
1160 |
|
|
|
1161 |
definition search_check_file :: "security_context_t \<Rightarrow> security_context_t \<Rightarrow> bool"
|
|
|
1162 |
where
|
|
|
1163 |
"search_check_file sctxt fctxt \<equiv> permission_check sctxt fctxt C_file P_search"
|
|
|
1164 |
|
|
|
1165 |
definition search_check_dir :: "security_context_t \<Rightarrow> security_context_t \<Rightarrow> bool"
|
|
|
1166 |
where
|
|
|
1167 |
"search_check_dir sctxt fctxt \<equiv> permission_check sctxt fctxt C_dir P_search"
|
|
|
1168 |
|
|
|
1169 |
fun get_parentfs_ctxts :: "t_state \<Rightarrow> t_file \<Rightarrow> (security_context_t list) option"
|
|
|
1170 |
where
|
|
|
1171 |
"get_parentfs_ctxts s [] =
|
|
|
1172 |
(case (sectxt_of_obj s (O_dir [])) of
|
|
|
1173 |
Some ctxt \<Rightarrow> Some [ctxt]
|
|
|
1174 |
| _ \<Rightarrow> None)"
|
|
|
1175 |
| "get_parentfs_ctxts s (f#pf) =
|
|
|
1176 |
(case (get_parentfs_ctxts s pf, sectxt_of_obj s (O_dir (f#pf))) of
|
|
|
1177 |
(Some ctxts, Some ctxt) \<Rightarrow> Some (ctxt#ctxts)
|
|
|
1178 |
| _ \<Rightarrow> None)"
|
|
|
1179 |
|
|
|
1180 |
definition search_check_ctxt::
|
|
|
1181 |
"security_context_t \<Rightarrow> security_context_t \<Rightarrow> security_context_t set \<Rightarrow> bool \<Rightarrow> bool"
|
|
|
1182 |
where
|
|
|
1183 |
"search_check_ctxt pctxt fctxt asecs if_file \<equiv> (
|
|
|
1184 |
if if_file
|
|
|
1185 |
then search_check_file pctxt fctxt \<and> search_check_allp pctxt asecs
|
|
|
1186 |
else search_check_dir pctxt fctxt \<and> search_check_allp pctxt asecs )"
|
|
|
1187 |
|
|
|
1188 |
fun search_check :: "t_state \<Rightarrow> security_context_t \<Rightarrow> t_file \<Rightarrow> bool"
|
|
|
1189 |
where
|
|
|
1190 |
"search_check s pctxt [] =
|
|
|
1191 |
(case (sectxt_of_obj s (O_dir [])) of
|
|
|
1192 |
Some fctxt \<Rightarrow> search_check_ctxt pctxt fctxt {} False
|
|
|
1193 |
| _ \<Rightarrow> False)"
|
|
|
1194 |
| "search_check s pctxt (f#pf) =
|
|
|
1195 |
(if (is_file s (f#pf))
|
|
|
1196 |
then (case (sectxt_of_obj s (O_file (f#pf)), get_parentfs_ctxts s pf) of
|
|
|
1197 |
(Some fctxt, Some pfctxts) \<Rightarrow> search_check_ctxt pctxt fctxt (set pfctxts) True
|
|
|
1198 |
| _ \<Rightarrow> False)
|
|
|
1199 |
else (case (sectxt_of_obj s (O_dir (f#pf)), get_parentfs_ctxts s pf) of
|
|
|
1200 |
(Some fctxt, Some pfctxts) \<Rightarrow> search_check_ctxt pctxt fctxt (set pfctxts) False
|
|
|
1201 |
| _ \<Rightarrow> False))"
|
|
|
1202 |
|
|
|
1203 |
(* this means we should prove every current fd has a security context! *)
|
|
|
1204 |
definition sectxts_of_fds :: "t_state \<Rightarrow> t_process \<Rightarrow> t_fd set \<Rightarrow> security_context_t set"
|
|
|
1205 |
where
|
|
|
1206 |
"sectxts_of_fds s p fds \<equiv> {ctxt. \<exists> fd \<in> fds. sectxt_of_obj s (O_fd p fd) = Some ctxt}"
|
|
|
1207 |
|
|
|
1208 |
definition inherit_fds_check_ctxt:: "security_context_t \<Rightarrow> security_context_t set \<Rightarrow> bool"
|
|
|
1209 |
where
|
|
|
1210 |
"inherit_fds_check_ctxt p fds \<equiv> (\<forall> ctxt \<in> fds. permission_check p ctxt C_fd P_inherit)"
|
|
|
1211 |
|
|
|
1212 |
definition inherit_fds_check :: "t_state \<Rightarrow> security_context_t \<Rightarrow> t_process \<Rightarrow> t_fd set \<Rightarrow> bool"
|
|
|
1213 |
where
|
|
|
1214 |
"inherit_fds_check s npsectxt p fds \<equiv> inherit_fds_check_ctxt npsectxt (sectxts_of_fds s p fds)"
|
|
|
1215 |
|
|
|
1216 |
fun npctxt_execve :: "security_context_t \<Rightarrow> security_context_t \<Rightarrow> security_context_t option"
|
|
|
1217 |
where
|
|
|
1218 |
"npctxt_execve (pu,pr,pt) (fu,fr,ft) =
|
|
|
1219 |
(case (role_transition pr ft) of
|
|
|
1220 |
Some nr \<Rightarrow> Some (pu, nr, type_transition pt ft C_process False)
|
|
|
1221 |
| _ \<Rightarrow> None)"
|
|
|
1222 |
|
|
|
1223 |
fun nfctxt_create :: "security_context_t \<Rightarrow> security_context_t \<Rightarrow> security_class_t \<Rightarrow> security_context_t"
|
|
|
1224 |
where
|
|
|
1225 |
"nfctxt_create (pu,pr,pt) (fu,fr,ft) cls = (pu, R_object, type_transition pt ft cls True)"
|
|
|
1226 |
|
|
|
1227 |
fun grant_execve ::
|
|
|
1228 |
"security_context_t \<Rightarrow> security_context_t \<Rightarrow> security_context_t \<Rightarrow> bool"
|
|
|
1229 |
where
|
|
|
1230 |
"grant_execve (up,rp,tp) (uf,rf,tf) (up',nr,nt) =
|
|
|
1231 |
(role_decl_check nr nt \<and> role_allow rp nr \<and>
|
|
|
1232 |
permission_check (up,rp,tp) (uf,rf,tf) C_file P_execute \<and>
|
|
|
1233 |
permission_check (up,nr,nt) (uf,rf,tf) C_file P_entrypoint \<and>
|
|
|
1234 |
permission_check (up,rp,tp) (up,nr,nt) C_process P_transition \<and>
|
|
|
1235 |
permission_check (up,nr,nt) (uf,rf,tf) C_process P_execute)"
|
|
|
1236 |
|
|
|
1237 |
(*
|
|
|
1238 |
definition sectxts_of_shms :: "t_state \<Rightarrow> t_shm set \<Rightarrow> security_context_t set"
|
|
|
1239 |
where
|
|
|
1240 |
"sectxts_of_shms s shms \<equiv> {ctxt. \<exists> h \<in> shms. sectxt_of_obj s (O_shm h) = Some ctxt}"
|
|
|
1241 |
|
|
|
1242 |
definition inherit_shms_check_ctxt:: "security_context_t \<Rightarrow> security_context_t set \<Rightarrow> bool"
|
|
|
1243 |
where
|
|
|
1244 |
"inherit_shms_check_ctxt p shms \<equiv> (\<forall> ctxt \<in> shms. permission_check p ctxt C_shm P_inherit)"
|
|
|
1245 |
|
|
|
1246 |
definition inherit_shms_check :: "t_state \<Rightarrow> security_context_t \<Rightarrow> t_shm set \<Rightarrow> bool"
|
|
|
1247 |
where
|
|
|
1248 |
"inherit_shms_check s npsectxt shms \<equiv> inherit_shms_check_ctxt npsectxt (sectxts_of_shms s shms)"
|
|
|
1249 |
*)
|
|
|
1250 |
|
|
|
1251 |
fun perm_of_mflag :: "t_open_must_flag \<Rightarrow> permission_t set"
|
|
|
1252 |
where
|
|
|
1253 |
"perm_of_mflag OF_RDONLY = {P_read}"
|
|
|
1254 |
| "perm_of_mflag OF_WRONLY = {P_write}"
|
|
|
1255 |
| "perm_of_mflag OF_RDWR = {P_read, P_write}"
|
|
|
1256 |
|
|
|
1257 |
definition perm_of_oflag :: "t_open_option_flag set \<Rightarrow> permission_t set"
|
|
|
1258 |
where
|
|
|
1259 |
"perm_of_oflag oflags \<equiv>
|
|
|
1260 |
(case (OF_APPEND \<in> oflags, OF_CREAT \<in> oflags) of
|
|
|
1261 |
(True, True) \<Rightarrow> {P_append, P_create}
|
|
|
1262 |
| (True, _ ) \<Rightarrow> {P_append}
|
|
|
1263 |
| (_ , True) \<Rightarrow> {P_create}
|
|
|
1264 |
| _ \<Rightarrow> {})"
|
|
|
1265 |
|
|
|
1266 |
definition perms_of_flags :: "t_open_flags \<Rightarrow> permission_t set"
|
|
|
1267 |
where
|
|
|
1268 |
"perms_of_flags flags \<equiv>
|
|
|
1269 |
(case flags of
|
|
|
1270 |
(mflag,oflags) \<Rightarrow> (perm_of_mflag mflag \<union> perm_of_oflag oflags))"
|
|
|
1271 |
|
|
|
1272 |
(*
|
|
|
1273 |
definition class_of_flags :: "t_open_flags \<Rightarrow> security_class_t"
|
|
|
1274 |
where
|
|
|
1275 |
"class_of_flags flags \<equiv>
|
|
|
1276 |
(case flags of
|
|
|
1277 |
(mflag, oflags) \<Rightarrow> if (OF_DIRECTORY \<in> oflags) then C_dir else C_file)"
|
|
|
1278 |
|
|
|
1279 |
definition obj_of_flags :: "t_open_flags \<Rightarrow> t_file \<Rightarrow> t_object"
|
|
|
1280 |
where
|
|
|
1281 |
"obj_of_flags flags f \<equiv>
|
|
|
1282 |
(case flags of
|
|
|
1283 |
(mflag, oflags) \<Rightarrow> if (OF_DIRECTORY \<in> oflags) then O_dir f else O_file f)"
|
|
|
1284 |
*)
|
|
|
1285 |
|
|
|
1286 |
definition oflags_check :: "t_open_flags \<Rightarrow> security_context_t \<Rightarrow> security_context_t \<Rightarrow> bool"
|
|
|
1287 |
where
|
|
|
1288 |
"oflags_check flags pctxt fctxt \<equiv>
|
|
|
1289 |
\<forall> perm \<in> (perms_of_flags flags). permission_check pctxt fctxt C_file perm"
|
|
|
1290 |
|
|
|
1291 |
fun grant :: "t_state \<Rightarrow> t_event \<Rightarrow> bool"
|
|
|
1292 |
where
|
|
|
1293 |
"grant s (Execve p f fds) =
|
|
|
1294 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_file f)) of
|
|
|
1295 |
(Some (up, rp, tp), Some (uf, rf, tf)) \<Rightarrow>
|
|
|
1296 |
(case (npctxt_execve (up,rp,tp) (uf,rf,tf)) of
|
|
|
1297 |
Some (pu,nr,nt) \<Rightarrow> (
|
|
|
1298 |
search_check s (up,rp,tp) f \<and>
|
|
|
1299 |
grant_execve (up,rp,tp) (uf,rf,tf) (up,nr,nt) \<and>
|
|
|
1300 |
inherit_fds_check s (up,nr,nt) p fds)
|
|
|
1301 |
| _ \<Rightarrow> False)
|
|
|
1302 |
| _ \<Rightarrow> False )"
|
|
|
1303 |
| "grant s (Clone p p' fds) =
|
|
|
1304 |
(case (sectxt_of_obj s (O_proc p)) of
|
|
|
1305 |
Some (up, rp, tp) \<Rightarrow>
|
|
|
1306 |
(permission_check (up,rp,tp) (up,rp,tp) C_process P_fork \<and>
|
|
|
1307 |
inherit_fds_check s (up,rp,tp) p fds)
|
|
|
1308 |
| _ \<Rightarrow> False )" (* \<and> inherit_shms_check s (up,rp,tp) shms *)
|
|
|
1309 |
| "grant s (Kill p p') =
|
|
|
1310 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_proc p')) of
|
|
|
1311 |
(Some (su,sr,st), Some (tu,tr,tt)) \<Rightarrow>
|
|
|
1312 |
permission_check (su,sr,st) (tu,tr,tt) C_process P_sigkill
|
|
|
1313 |
| _ \<Rightarrow> False)"
|
|
|
1314 |
| "grant s (Ptrace p p') =
|
|
|
1315 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_proc p')) of
|
|
|
1316 |
(Some (su,sr,st), Some (tu,tr,tt)) \<Rightarrow>
|
|
|
1317 |
permission_check (su,sr,st) (tu,tr,tt) C_process P_ptrace
|
|
|
1318 |
| _ \<Rightarrow> False)"
|
|
|
1319 |
| "grant s (Exit p) = True"
|
|
|
1320 |
| "grant s (Open p f flags fd None) =
|
|
|
1321 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_file f)) of
|
|
|
1322 |
(Some (pu,pr,pt), Some (fu,fr,ft)) \<Rightarrow>
|
|
|
1323 |
search_check s (pu,pr,pt) f \<and>
|
|
|
1324 |
oflags_check flags (pu,pr,pt) (fu,fr,ft) \<and>
|
|
|
1325 |
permission_check (pu,pr,pt) (pu,pr,pt) C_fd P_setattr
|
|
|
1326 |
| _ \<Rightarrow>False)"
|
|
|
1327 |
| "grant s (Open p f flags fd (Some inum)) =
|
|
|
1328 |
(case (parent f) of
|
|
|
1329 |
Some pf \<Rightarrow> (case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_dir pf)) of
|
|
|
1330 |
(Some (pu,pr,pt), Some (pfu,pfr,pft)) \<Rightarrow>
|
|
|
1331 |
(search_check s (pu,pr,pt) pf \<and>
|
|
|
1332 |
oflags_check flags (pu,pr,pt) (nfctxt_create (pu,pr,pt) (pfu,pfr,pft) C_file) \<and>
|
|
|
1333 |
permission_check (pu,pr,pt) (pfu,pfr,pft) C_dir P_add_name \<and>
|
|
|
1334 |
permission_check (pu,pr,pt) (pu,pr,pt) C_fd P_setattr)
|
|
|
1335 |
| _ \<Rightarrow> False)
|
|
|
1336 |
| _ \<Rightarrow> False)"
|
|
|
1337 |
| "grant s (ReadFile p fd) =
|
|
|
1338 |
(case (file_of_proc_fd s p fd) of
|
|
|
1339 |
Some f \<Rightarrow>
|
|
|
1340 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_fd p fd),
|
|
|
1341 |
sectxt_of_obj s (O_file f)) of
|
|
|
1342 |
(Some (pu,pr,pt), Some (fdu,fdr,fdt), Some (fu,fr,ft)) \<Rightarrow>
|
|
|
1343 |
(permission_check (pu,pr,pt) (fdu,fdr,fdt) C_fd P_setattr \<and>
|
|
|
1344 |
permission_check (pu,pr,pt) (fu,fr,ft) C_file P_read)
|
|
|
1345 |
| _ \<Rightarrow> False)
|
|
|
1346 |
| _ \<Rightarrow> False)"
|
|
|
1347 |
| "grant s (WriteFile p fd) =
|
|
|
1348 |
(case (file_of_proc_fd s p fd) of
|
|
|
1349 |
Some f \<Rightarrow>
|
|
|
1350 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_fd p fd),
|
|
|
1351 |
sectxt_of_obj s (O_file f)) of
|
|
|
1352 |
(Some (pu,pr,pt), Some (fdu,fdr,fdt), Some (fu,fr,ft)) \<Rightarrow>
|
|
|
1353 |
(permission_check (pu,pr,pt) (fdu,fdr,fdt) C_fd P_setattr \<and>
|
|
|
1354 |
permission_check (pu,pr,pt) (fu,fr,ft) C_file P_write)
|
|
|
1355 |
| _ \<Rightarrow> False)
|
|
|
1356 |
| _ \<Rightarrow> False)"
|
|
|
1357 |
| "grant s (CloseFd p fd) = True"
|
|
|
1358 |
| "grant s (UnLink p f) =
|
|
|
1359 |
(case (parent f) of
|
|
|
1360 |
Some pf \<Rightarrow>
|
|
|
1361 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_dir pf),
|
|
|
1362 |
sectxt_of_obj s (O_file f)) of
|
|
|
1363 |
(Some (pu,pr,pt), Some (du,dr,dt), Some (fu,fr,ft)) \<Rightarrow>
|
|
|
1364 |
(search_check s (pu,pr,pt) f \<and>
|
|
|
1365 |
permission_check (pu,pr,pt) (fu,fr,ft) C_file P_unlink \<and>
|
|
|
1366 |
permission_check (pu,pr,pt) (du,dr,dt) C_dir P_remove_name)
|
|
|
1367 |
| _ \<Rightarrow> False)
|
|
|
1368 |
| _ \<Rightarrow> False)"
|
|
|
1369 |
| "grant s (Rmdir p f) =
|
|
|
1370 |
(case (parent f) of
|
|
|
1371 |
Some pf \<Rightarrow>
|
|
|
1372 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_dir pf),
|
|
|
1373 |
sectxt_of_obj s (O_dir f)) of
|
|
|
1374 |
(Some (pu,pr,pt), Some (du,dr,dt), Some (fu,fr,ft)) \<Rightarrow>
|
|
|
1375 |
(search_check s (pu,pr,pt) f \<and>
|
|
|
1376 |
permission_check (pu,pr,pt) (fu,fr,ft) C_dir P_rmdir \<and>
|
|
|
1377 |
permission_check (pu,pr,pt) (du,dr,dt) C_dir P_remove_name)
|
|
|
1378 |
| _ \<Rightarrow> False)
|
|
|
1379 |
| _ \<Rightarrow> False)"
|
|
|
1380 |
| "grant s (Mkdir p f inum) =
|
|
|
1381 |
(case (parent f) of
|
|
|
1382 |
Some pf \<Rightarrow>
|
|
|
1383 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_dir pf)) of
|
|
|
1384 |
(Some (pu,pr,pt), Some (du,dr,dt)) \<Rightarrow>
|
|
78
|
1385 |
(search_check s (pu,pr,pt) pf \<and>
|
|
77
|
1386 |
permission_check (pu,pr,pt) (nfctxt_create (pu,pr,pt) (du,dr,dt) C_dir) C_dir P_create \<and>
|
|
|
1387 |
permission_check (pu,pr,pt) (du,dr,dt) C_dir P_add_name)
|
|
|
1388 |
| _ \<Rightarrow> False)
|
|
|
1389 |
| _ \<Rightarrow> False)"
|
|
|
1390 |
| "grant s (LinkHard p f f') =
|
|
|
1391 |
(case (parent f') of
|
|
|
1392 |
Some pf \<Rightarrow>
|
|
|
1393 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_dir pf),
|
|
|
1394 |
sectxt_of_obj s (O_file f)) of
|
|
|
1395 |
(Some (pu,pr,pt), Some (du,dr,dt), Some (fu,fr,ft)) \<Rightarrow>
|
|
|
1396 |
(search_check s (pu,pr,pt) f \<and> search_check s (pu,pr,pt) pf \<and>
|
|
|
1397 |
permission_check (pu,pr,pt) (fu,fr,ft) C_file P_link \<and>
|
|
|
1398 |
permission_check (pu,pr,pt) (du,dr,dt) C_dir P_add_name)
|
|
|
1399 |
| _ \<Rightarrow> False)
|
|
|
1400 |
| _ \<Rightarrow> False)"
|
|
|
1401 |
| "grant s (Truncate p f len) =
|
|
|
1402 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_file f)) of
|
|
|
1403 |
(Some (pu,pr,pt), Some (fu,fr,ft)) \<Rightarrow>
|
|
|
1404 |
(search_check s (pu,pr,pt) f \<and>
|
|
|
1405 |
permission_check (pu,pr,pt) (fu,fr,ft) C_file P_setattr)
|
|
|
1406 |
| _ \<Rightarrow> False)"
|
|
|
1407 |
(*
|
|
|
1408 |
| "grant s (Rename p f f') =
|
|
|
1409 |
(case (parent f, parent f') of
|
|
|
1410 |
(Some pf, Some pf') \<Rightarrow>
|
|
|
1411 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_dir pf),
|
|
|
1412 |
sectxt_of_obj s (O_file f), sectxt_of_obj s (O_dir pf')) of
|
|
|
1413 |
(Some (pu,pr,pt), Some (pfu,pfr,pft), Some (fu,fr,ft),
|
|
|
1414 |
Some (pfu',pfr',pft')) \<Rightarrow>
|
|
|
1415 |
(search_check s (pu,pr,pt) f \<and>
|
|
|
1416 |
permission_check (pu,pr,pt) (pfu,pfr,pft) C_dir P_remove_name \<and>
|
|
|
1417 |
(if (is_file s f)
|
|
|
1418 |
then permission_check (pu,pr,pt) (fu,fr,ft) C_file P_rename
|
|
|
1419 |
else permission_check (pu,pr,pt) (fu,fr,ft) C_dir P_reparent) \<and>
|
|
|
1420 |
search_check s (pu,pr,pt) pf' \<and>
|
|
|
1421 |
permission_check (pu,pr,pt) (pfu',pfr',pft') C_dir P_add_name)
|
|
|
1422 |
| _ \<Rightarrow> False)
|
|
|
1423 |
| _ \<Rightarrow> False)"
|
|
|
1424 |
*)
|
|
|
1425 |
| "grant s (CreateMsgq p q) =
|
|
|
1426 |
(case (sectxt_of_obj s (O_proc p)) of
|
|
|
1427 |
Some (pu,pr,pt) \<Rightarrow>
|
|
|
1428 |
(permission_check (pu,pr,pt) (pu,pr,pt) C_msgq P_associate \<and>
|
|
|
1429 |
permission_check (pu,pr,pt) (pu,pr,pt) C_msgq P_create)
|
|
|
1430 |
| _ \<Rightarrow> False)"
|
|
|
1431 |
| "grant s (SendMsg p q m) =
|
|
|
1432 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_msgq q)) of
|
|
|
1433 |
(Some (pu,pr,pt), Some (qu,qr,qt)) \<Rightarrow>
|
|
|
1434 |
(permission_check (pu,pr,pt) (qu,qr,qt) C_msgq P_enqueue \<and>
|
|
|
1435 |
permission_check (pu,pr,pt) (qu,qr,qt) C_msgq P_write \<and>
|
|
|
1436 |
permission_check (pu,pr,pt) (pu,pr,pt) C_msg P_send)
|
|
|
1437 |
| _ \<Rightarrow> False)"
|
|
|
1438 |
| "grant s (RecvMsg p q m) =
|
|
|
1439 |
(case (sectxt_of_obj s (O_proc p),sectxt_of_obj s (O_msgq q),sectxt_of_obj s (O_msg q m)) of
|
|
|
1440 |
(Some (pu,pr,pt), Some (qu,qr,qt), Some (mu,mr,mt)) \<Rightarrow>
|
|
|
1441 |
permission_check (pu,pr,pt) (qu,qr,qt) C_msgq P_read \<and>
|
|
|
1442 |
permission_check (pu,pr,pt) (mu,mr,mt) C_msg P_receive
|
|
|
1443 |
| _ \<Rightarrow> False)"
|
|
|
1444 |
| "grant s (RemoveMsgq p q) =
|
|
|
1445 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_msgq q)) of
|
|
|
1446 |
(Some (pu,pr,pt), Some (qu,qr,qt)) \<Rightarrow>
|
|
|
1447 |
permission_check (pu,pr,pt) (qu,qr,qt) C_msgq P_destroy
|
|
|
1448 |
| _ \<Rightarrow> False)"
|
|
|
1449 |
(*
|
|
|
1450 |
| "grant s (CreateShM p h) =
|
|
|
1451 |
(case (sectxt_of_obj s (O_proc p)) of
|
|
|
1452 |
Some (pu,pr,pt) \<Rightarrow>
|
|
|
1453 |
(permission_check (pu,pr,pt) (pu,pr,pt) C_shm P_associate \<and>
|
|
|
1454 |
permission_check (pu,pr,pt) (pu,pr,pt) C_shm P_create)
|
|
|
1455 |
| _ \<Rightarrow> False)"
|
|
|
1456 |
| "grant s (Attach p h flag) =
|
|
|
1457 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_shm h)) of
|
|
|
1458 |
(Some (pu,pr,pt), Some (hu,hr,ht)) \<Rightarrow>
|
|
|
1459 |
if flag = SHM_RDONLY
|
|
|
1460 |
then permission_check (pu,pr,pt) (hu,hr,ht) C_shm P_read
|
|
|
1461 |
else permission_check (pu,pr,pt) (hu,hr,ht) C_shm P_read \<and>
|
|
|
1462 |
permission_check (pu,pr,pt) (hu,hr,ht) C_shm P_write
|
|
|
1463 |
| _ \<Rightarrow> False)"
|
|
|
1464 |
| "grant s (Detach p h) = True" (*?*)
|
|
|
1465 |
| "grant s (DeleteShM p h) =
|
|
|
1466 |
(case (sectxt_of_obj s (O_proc p), sectxt_of_obj s (O_shm h)) of
|
|
|
1467 |
(Some (pu,pr,pt), Some (hu,hr,ht)) \<Rightarrow>
|
|
|
1468 |
permission_check (pu,pr,pt) (hu,hr,ht) C_shm P_destroy
|
|
|
1469 |
| _ \<Rightarrow> False)"
|
|
|
1470 |
*)
|
|
|
1471 |
|
|
|
1472 |
| "grant s _ = False" (* socket event is currently not in consideration *)
|
|
|
1473 |
|
|
|
1474 |
inductive valid :: "t_state \<Rightarrow> bool"
|
|
|
1475 |
where
|
|
|
1476 |
"valid []"
|
|
|
1477 |
| "\<lbrakk>valid s; os_grant s e; grant s e\<rbrakk> \<Longrightarrow> valid (e # s)"
|
|
|
1478 |
|
|
|
1479 |
(* tobj: object that can be tainted *)
|
|
|
1480 |
fun tobj_in_init :: "t_object \<Rightarrow> bool"
|
|
|
1481 |
where
|
|
|
1482 |
"tobj_in_init (O_proc p) = (p \<in> init_procs)"
|
|
|
1483 |
| "tobj_in_init (O_file f) = (is_init_file f)"
|
|
|
1484 |
(* directory is not taintable
|
|
|
1485 |
| "tobj_in_init (O_dir f) = (f \<in> init_files)"
|
|
|
1486 |
|
|
|
1487 |
| "tobj_in_init (O_node n) = (n \<in> init_nodes)"
|
|
|
1488 |
| "tobj_in_init (O_msg q m) = (m \<in> set (init_msgs_of_queue q) \<and> q \<in> init_msgqs)"
|
|
|
1489 |
*)
|
|
|
1490 |
| "tobj_in_init _ = False" (* other kind of obj cannot be tainted *)
|
|
|
1491 |
|
|
|
1492 |
(* no use
|
|
|
1493 |
fun no_del_event:: "t_event list \<Rightarrow> bool"
|
|
|
1494 |
where
|
|
|
1495 |
"no_del_event [] = True"
|
|
|
1496 |
| "no_del_event (Kill p p' # \<tau>) = False"
|
|
|
1497 |
| "no_del_event (CloseFd p fd # \<tau>) = False"
|
|
|
1498 |
| "no_del_event (UnLink p f # \<tau>) = False"
|
|
|
1499 |
| "no_del_event (Rmdir p f # \<tau>) = False"
|
|
|
1500 |
(*
|
|
|
1501 |
| "no_del_event (Rename p f f' # \<tau>) = False"
|
|
|
1502 |
*)
|
|
|
1503 |
| "no_del_event (RemoveMsgq p q # \<tau>) = False"
|
|
|
1504 |
| "no_del_event (RecvMsg p q m # \<tau>) = False"
|
|
|
1505 |
| "no_del_event (_ # \<tau>) = no_del_event \<tau>"
|
|
|
1506 |
*)
|
|
|
1507 |
|
|
|
1508 |
end
|
|
|
1509 |
|
|
|
1510 |
locale tainting = flask +
|
|
|
1511 |
|
|
|
1512 |
fixes seeds :: "t_object set"
|
|
|
1513 |
assumes
|
|
|
1514 |
seeds_appropriate: "\<And> obj. obj \<in> seeds \<Longrightarrow> appropriate obj"
|
|
|
1515 |
and same_inode_in_seeds: "\<And> f f'. \<lbrakk>O_file f \<in> seeds; has_same_inode [] f f'\<rbrakk> \<Longrightarrow> O_file f' \<in> seeds"
|
|
|
1516 |
(*
|
|
|
1517 |
and flow_shm_in_seeds: "\<And> p p'. \<lbrakk>O_proc p \<in> seeds; info_flow_shm [] p p'\<rbrakk> \<Longrightarrow> O_proc p' \<in> seeds"
|
|
|
1518 |
*)
|
|
|
1519 |
begin
|
|
|
1520 |
|
|
|
1521 |
(*
|
|
|
1522 |
inductive tainted :: "t_object \<Rightarrow> t_state \<Rightarrow> bool" ("_ \<in> tainted _" [100, 100] 100)
|
|
|
1523 |
where
|
|
|
1524 |
t_init: "obj \<in> seeds \<Longrightarrow> obj \<in> tainted []"
|
|
|
1525 |
| t_clone: "\<lbrakk>O_proc p \<in> tainted s; valid (Clone p p' fds shms # s)\<rbrakk>
|
|
|
1526 |
\<Longrightarrow> O_proc p' \<in> tainted (Clone p p' fds # s)"
|
|
|
1527 |
| t_execve: "\<lbrakk>O_file f \<in> tainted s; valid (Execve p f fds # s)\<rbrakk>
|
|
|
1528 |
\<Longrightarrow> O_proc p \<in> tainted (Execve p f fds # s)"
|
|
|
1529 |
| t_ptrace: "\<lbrakk>O_proc p \<in> tainted s; valid (Ptrace p p' # s); info_flow_shm s p' p''\<rbrakk>
|
|
|
1530 |
\<Longrightarrow> O_proc p'' \<in> tainted (Ptrace p p' # s)"
|
|
|
1531 |
| t_ptrace':"\<lbrakk>O_proc p' \<in> tainted s; valid (Ptrace p p' # s); info_flow_shm s p p''\<rbrakk>
|
|
|
1532 |
\<Longrightarrow> O_proc p'' \<in> tainted (Ptrace p p' # s)"
|
|
|
1533 |
| t_cfile: "\<lbrakk>O_proc p \<in> tainted s; valid (Open p f flags fd (Some inum) # s)\<rbrakk>
|
|
|
1534 |
\<Longrightarrow> O_file f \<in> tainted (Open p f flags fd (Some inum) # s)"
|
|
|
1535 |
| t_read: "\<lbrakk>O_file f \<in> tainted s; valid (ReadFile p fd # s);
|
|
|
1536 |
file_of_proc_fd s p fd = Some f; info_flow_shm s p p'\<rbrakk>
|
|
|
1537 |
\<Longrightarrow> O_proc p' \<in> tainted (ReadFile p fd # s)"
|
|
|
1538 |
| t_write: "\<lbrakk>O_proc p \<in> tainted s; valid (WriteFile p fd # s);
|
|
|
1539 |
file_of_proc_fd s p fd = Some f; has_same_inode s f f'\<rbrakk>
|
|
|
1540 |
\<Longrightarrow> O_file f' \<in> tainted (WriteFile p fd # s)"
|
|
|
1541 |
(* directory is not tainted
|
|
|
1542 |
| t_mkdir: "\<lbrakk>O_proc p \<in> tainted s; valid (Mkdir p f inum # s)\<rbrakk>
|
|
|
1543 |
\<Longrightarrow> O_dir f \<in> tainted (Mkdir p f inum # s)"
|
|
|
1544 |
*)
|
|
|
1545 |
| t_link: "\<lbrakk>O_file f \<in> tainted s; valid (LinkHard p f f' # s)\<rbrakk>
|
|
|
1546 |
\<Longrightarrow> O_file f' \<in> tainted (LinkHard p f f' # s)"
|
|
|
1547 |
| t_trunc: "\<lbrakk>O_proc p \<in> tainted s; valid (Truncate p f len # s); len > 0; has_same_inode s f f'\<rbrakk>
|
|
|
1548 |
\<Longrightarrow> O_file f' \<in> tainted (Truncate p f len # s)"
|
|
|
1549 |
(*
|
|
|
1550 |
| t_rename: "\<lbrakk>O_file f'' \<in> tainted s; valid (Rename p f f' # s);f \<preceq> f''\<rbrakk>
|
|
|
1551 |
\<Longrightarrow> O_file (file_after_rename f f' f'') \<in> tainted (Rename p f f' # s)"
|
|
|
1552 |
| t_rename':"\<lbrakk>O_dir f'' \<in> tainted s; valid (Rename p f f' # s);f \<preceq> f''\<rbrakk>
|
|
|
1553 |
\<Longrightarrow> O_dir (file_after_rename f f' f'') \<in> tainted (Rename p f f' # s)"
|
|
|
1554 |
*)
|
|
|
1555 |
| t_attach1:"\<lbrakk>O_proc p \<in> tainted s; valid (Attach p h SHM_RDWR # s); (p', flag') \<in> procs_of_shm s h; info_flow_shm s p' p''\<rbrakk>
|
|
|
1556 |
\<Longrightarrow> O_proc p'' \<in> tainted (Attach p h SHM_RDWR # s)"
|
|
|
1557 |
| t_attach2:"\<lbrakk>O_proc p' \<in> tainted s; valid (Attach p h flag # s); (p', SHM_RDWR) \<in> procs_of_shm s h; info_flow_shm s p p''\<rbrakk>
|
|
|
1558 |
\<Longrightarrow> O_proc p'' \<in> tainted (Attach p h flag # s)"
|
|
|
1559 |
| t_sendmsg:"\<lbrakk>O_proc p \<in> tainted s; valid (SendMsg p q m # s)\<rbrakk>
|
|
|
1560 |
\<Longrightarrow> O_msg q m \<in> tainted (SendMsg p q m # s)"
|
|
|
1561 |
| t_recvmsg:"\<lbrakk>O_msg q m \<in> tainted s; valid (RecvMsg p q m # s); info_flow_shm s p p'\<rbrakk>
|
|
|
1562 |
\<Longrightarrow> O_proc p' \<in> tainted (RecvMsg p q m # s)"
|
|
|
1563 |
| t_remain: "\<lbrakk>obj \<in> tainted s; valid (e # s); alive (e # s) obj\<rbrakk>
|
|
|
1564 |
\<Longrightarrow> obj \<in> tainted (e # s)"
|
|
|
1565 |
*)
|
|
|
1566 |
|
|
|
1567 |
fun tainted :: "t_state \<Rightarrow> t_object set"
|
|
|
1568 |
where
|
|
|
1569 |
"tainted [] = seeds"
|
|
|
1570 |
| "tainted (Clone p p' fds # s) =
|
|
|
1571 |
(if (O_proc p) \<in> tainted s then tainted s \<union> {O_proc p'} else tainted s)"
|
|
|
1572 |
| "tainted (Execve p f fds # s) =
|
|
|
1573 |
(if (O_file f) \<in> tainted s then tainted s \<union> {O_proc p} else tainted s)"
|
|
|
1574 |
| "tainted (Kill p p' # s) = tainted s - {O_proc p'}"
|
|
|
1575 |
| "tainted (Ptrace p p' # s) =
|
|
|
1576 |
(if (O_proc p \<in> tainted s)
|
|
|
1577 |
then tainted s \<union> {O_proc p'}
|
|
|
1578 |
else if (O_proc p' \<in> tainted s)
|
|
|
1579 |
then tainted s \<union> {O_proc p}
|
|
|
1580 |
else tainted s)"
|
|
|
1581 |
| "tainted (Exit p # s) = tainted s - {O_proc p}"
|
|
|
1582 |
| "tainted (Open p f flags fd opt # s) =
|
|
|
1583 |
(case opt of
|
|
|
1584 |
Some inum \<Rightarrow> (if (O_proc p) \<in> tainted s
|
|
|
1585 |
then tainted s \<union> {O_file f}
|
|
|
1586 |
else tainted s)
|
|
|
1587 |
| _ \<Rightarrow> tainted s)"
|
|
|
1588 |
| "tainted (ReadFile p fd # s) =
|
|
|
1589 |
(case (file_of_proc_fd s p fd) of
|
|
|
1590 |
Some f \<Rightarrow> if (O_file f) \<in> tainted s
|
|
|
1591 |
then tainted s \<union> {O_proc p}
|
|
|
1592 |
else tainted s
|
|
|
1593 |
| None \<Rightarrow> tainted s)"
|
|
|
1594 |
| "tainted (WriteFile p fd # s) =
|
|
|
1595 |
(case (file_of_proc_fd s p fd) of
|
|
|
1596 |
Some f \<Rightarrow> if (O_proc p) \<in> tainted s
|
|
|
1597 |
then tainted s \<union> {O_file f' | f'. f' \<in> same_inode_files s f}
|
|
|
1598 |
else tainted s
|
|
|
1599 |
| None \<Rightarrow> tainted s)"
|
|
|
1600 |
| "tainted (CloseFd p fd # s) =
|
|
|
1601 |
(case (file_of_proc_fd s p fd) of
|
|
|
1602 |
Some f \<Rightarrow> ( if ((proc_fd_of_file s f = {(p,fd)}) \<and> (f \<in> files_hung_by_del s))
|
|
|
1603 |
then tainted s - {O_file f} else tainted s )
|
|
|
1604 |
| _ \<Rightarrow> tainted s)"
|
|
|
1605 |
| "tainted (UnLink p f # s) =
|
|
|
1606 |
(if (proc_fd_of_file s f = {}) then tainted s - {O_file f} else tainted s)"
|
|
|
1607 |
| "tainted (LinkHard p f f' # s) =
|
|
|
1608 |
(if (O_file f \<in> tainted s) then tainted s \<union> {O_file f'} else tainted s)"
|
|
|
1609 |
| "tainted (Truncate p f len # s) =
|
|
|
1610 |
(if (len > 0 \<and> O_proc p \<in> tainted s)
|
|
|
1611 |
then tainted s \<union> {O_file f' | f'. f' \<in> same_inode_files s f}
|
|
|
1612 |
else tainted s)"
|
|
|
1613 |
| "tainted (SendMsg p q m # s) =
|
|
|
1614 |
(if (O_proc p \<in> tainted s) then tainted s \<union> {O_msg q m} else tainted s)"
|
|
|
1615 |
| "tainted (RecvMsg p q m # s) =
|
|
|
1616 |
(if (O_msg q m \<in> tainted s)
|
|
|
1617 |
then (tainted s \<union> {O_proc p}) - {O_msg q m}
|
|
|
1618 |
else tainted s)"
|
|
|
1619 |
| "tainted (RemoveMsgq p q # s) = tainted s - {O_msg q m| m. O_msg q m \<in> tainted s}"
|
|
|
1620 |
| "tainted (e # s) = tainted s"
|
|
|
1621 |
|
|
|
1622 |
(* reasonable tainted object, fd and sock and msgq and msg is excluded
|
|
|
1623 |
* this is different from tainted, which already excluded some of them,
|
|
|
1624 |
* tainted not excluded msg, which does not have the meaning of "tainteable", but
|
|
|
1625 |
* but acting as a media to "pass" the virus. We normally will not say that
|
|
|
1626 |
* a message is tableable or not.
|
|
|
1627 |
*)
|
|
|
1628 |
fun appropriate :: "t_object \<Rightarrow> bool"
|
|
|
1629 |
where
|
|
|
1630 |
"appropriate (O_proc p) = (p \<in> init_procs)"
|
|
|
1631 |
| "appropriate (O_file f) = (is_init_file f)"
|
|
|
1632 |
| "appropriate (O_dir f) = False"
|
|
|
1633 |
| "appropriate (O_fd p fd) = False"
|
|
|
1634 |
| "appropriate (O_node n) = False" (* cause socket is temperary not considered *)
|
|
|
1635 |
| "appropriate (O_tcp_sock k) = False"
|
|
|
1636 |
| "appropriate (O_udp_sock k) = False"
|
|
|
1637 |
(*
|
|
|
1638 |
| "appropriate (O_shm h) = False"
|
|
|
1639 |
*)
|
|
|
1640 |
| "appropriate (O_msgq q) = False"
|
|
|
1641 |
| "appropriate (O_msg q m) = False"
|
|
|
1642 |
|
|
|
1643 |
definition taintable:: "t_object \<Rightarrow> bool"
|
|
|
1644 |
where
|
|
|
1645 |
"taintable obj \<equiv> init_alive obj \<and> appropriate obj \<and> (\<exists> s. obj \<in> tainted s)"
|
|
|
1646 |
|
|
|
1647 |
definition undeletable :: "t_object \<Rightarrow> bool"
|
|
|
1648 |
where
|
|
|
1649 |
"undeletable obj \<equiv> init_alive obj \<and> \<not> (\<exists> s. valid s \<and> deleted obj s)"
|
|
|
1650 |
|
|
|
1651 |
fun exited :: "t_object \<Rightarrow> t_state \<Rightarrow> bool"
|
|
|
1652 |
where
|
|
|
1653 |
"exited (O_proc p) s = (Exit p \<in> set s)"
|
|
|
1654 |
| "exited _ s = False"
|
|
|
1655 |
|
|
|
1656 |
end
|
|
|
1657 |
|
|
|
1658 |
end |