3 Temp |
3 Temp |
4 begin |
4 begin |
5 |
5 |
6 context tainting_s begin |
6 context tainting_s begin |
7 |
7 |
8 |
8 fun remove_create_flag :: "t_open_flags \<Rightarrow> t_open_flags" |
9 |
9 where |
10 |
10 "remove_create_flag (mflag, oflags) = (mflag, oflags - {OF_CREAT})" |
11 |
11 |
12 definition enrich:: "t_state \<Rightarrow> t_object set \<Rightarrow> t_state \<Rightarrow> bool" |
12 fun all_procs :: "t_state \<Rightarrow> t_process set" |
13 where |
13 where |
14 "enrich s objs s' \<equiv> \<forall> obj \<in> objs. \<exists> obj'. obj' \<notin> objs \<and> alive s' obj \<and> co2sobj s' obj' = co2sobj s' obj" |
14 "all_procs [] = init_procs" |
15 |
15 | "all_procs (Clone p p' fds shms # s) = insert p' (all_procs s)" |
16 definition reserve:: "t_state \<Rightarrow> t_object set \<Rightarrow> t_state \<Rightarrow> bool" |
16 | "all_procs (e # s) = all_procs s" |
17 where |
17 |
18 "reserve s objs s' \<equiv> \<forall> obj. alive s obj \<longrightarrow> alive s' obj \<and> co2sobj s' obj = co2sobj s obj" |
18 definition brandnew_proc :: "t_state \<Rightarrow> t_process" |
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19 where |
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20 "brandnew_proc s \<equiv> next_nat (all_procs s)" |
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21 |
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22 (* |
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23 definition brandnew_proc :: "t_state \<Rightarrow> t_process" |
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24 where |
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25 "brandnew_proc s \<equiv> next_nat ({p | p s'. p \<in> current_procs s' \<and> s' \<preceq> s})" |
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26 another approach: |
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27 brandnew_proc = next_nat (all_procs s), |
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28 where all_procs is a event-trace listener *) |
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29 |
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30 (* |
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31 lemma brandnew_proc_prop1: |
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32 "\<lbrakk>s' \<preceq> s; valid s\<rbrakk> \<Longrightarrow> brandnew_proc s \<notin> current_procs s'" |
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33 apply (frule vd_preceq, simp) |
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34 apply (simp add:brandnew_proc_def) |
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35 apply (auto) |
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36 sorry |
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37 |
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38 lemma brandnew_proc_prop2: |
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39 "\<lbrakk>p \<in> current_procs s'; s' \<preceq> s; valid s\<rbrakk> \<Longrightarrow> brandnew_proc s \<noteq> p" |
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40 by (auto dest:brandnew_proc_prop1) |
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41 |
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42 lemma brandnew_proc_prop3: |
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43 "\<lbrakk>p \<in> current_procs s; valid (e # s)\<rbrakk> \<Longrightarrow> brandnew_proc (e # s) \<noteq> p" |
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44 apply (rule brandnew_proc_prop2, simp) |
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45 apply (rule no_juniorI, simp+) |
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46 done |
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47 *) |
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48 |
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49 (* enrich s target_proc duplicated_pro *) |
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50 fun enrich_proc :: "t_state \<Rightarrow> t_process \<Rightarrow> t_process \<Rightarrow> t_state" |
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51 where |
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52 "enrich_proc [] tp dp = []" |
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53 | "enrich_proc (Execve p f fds # s) tp dp = ( |
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54 if (tp = p) |
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55 then Execve dp f fds # Execve p f fds # (enrich_proc s tp dp) |
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56 else Execve p f fds # (enrich_proc s tp dp))" |
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57 | "enrich_proc (Clone p p' fds shms # s) tp dp = ( |
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58 if (tp = p') |
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59 then Clone p dp fds shms # Clone p p' fds shms # s |
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60 else Clone p dp fds shms # (enrich_proc s tp dp))" |
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61 | "enrich_proc (Open p f flags fd opt # s) tp dp = ( |
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62 if (tp = p) |
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63 then Open dp f (remove_create_flag flags) fd opt # Open p f flags fd opt # (enrich_proc s tp dp) |
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64 else Open p f flags fd opt # (enrich_proc s tp dp))" |
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65 | "enrich_proc (CloseFd p fd # s) tp dp = ( |
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66 if (tp = p) |
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67 then CloseFd dp fd # CloseFd p fd # (enrich_proc s tp dp) |
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68 else CloseFd p fd # (enrich_proc s tp dp))" |
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69 | "enrich_proc (Attach p h flag # s) tp dp = ( |
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70 if (tp = p) |
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71 then Attach dp h flag # Attach p h flag # (enrich_proc s tp dp) |
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72 else Attach p h flag # (enrich_proc s tp dp))" |
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73 | "enrich_proc (Detach p h # s) tp dp = ( |
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74 if (tp = p) |
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75 then Detach dp h # Detach p h # (enrich_proc s tp dp) |
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76 else Detach p h # (enrich_proc s tp dp))" |
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77 | "enrich_proc (Kill p p' # s) tp dp = ( |
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78 if (tp = p) then Kill p p' # s |
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79 else Kill p p' # (enrich_proc s tp dp))" |
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80 | "enrich_proc (Exit p # s) tp dp = ( |
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81 if (tp = p) then Exit p # s |
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82 else Exit p # (enrich_proc s tp dp))" |
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83 | "enrich_proc (e # s) tp dp = e # (enrich_proc s tp dp)" |
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84 |
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85 definition is_created_proc:: "t_state \<Rightarrow> t_process \<Rightarrow> bool" |
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86 where |
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87 "is_created_proc s p \<equiv> p \<in> init_procs \<longrightarrow> deleted (O_proc p) s" |
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88 |
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89 lemma enrich_proc_prop: |
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90 "\<lbrakk>valid s; is_created_proc s p; p' \<notin> all_procs s\<rbrakk> |
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91 \<Longrightarrow> valid (enrich_proc s p p') \<and> |
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92 co2sobj (enrich_proc s p p') (O_proc p') = co2sobj (enrich_proc s p p') (O_proc p) \<and> |
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93 (alive s obj \<longrightarrow> alive (enrich_proc s p p') obj \<and> co2sobj (enrich_proc s p p') obj = co2sobj s obj)" |
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94 proof (induct s) |
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95 case Nil |
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96 thus ?case by (auto simp:is_created_proc_def) |
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97 next |
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98 case (Cons e s) |
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99 hence p1: "\<lbrakk>p \<in> current_procs s; valid s; is_created_proc s p; p' \<notin> current_procs s\<rbrakk> |
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100 \<Longrightarrow> valid (enrich_proc s p p') \<and> |
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101 p' \<in> current_procs (enrich_proc s p p') \<and> |
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102 co2sobj (enrich_proc s p p') (O_proc p') = co2sobj (enrich_proc s p p') (O_proc p) \<and> |
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103 (alive s obj \<longrightarrow> alive (enrich_proc s p p') obj \<and> co2sobj (enrich_proc s p p') obj = co2sobj s obj)" |
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104 and p2: "p \<in> current_procs (e # s)" and p3: "valid (e # s)" |
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105 and p4: "is_created_proc (e # s) p" and p5: "p' \<notin> current_procs (e # s)" |
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106 by auto |
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107 from p4 p2 have p4': "is_created_proc s p" |
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108 by (case_tac e, auto simp:is_created_proc_def) |
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109 from p3 have vd: "valid s" and os: "os_grant s e" and grant: "grant s e" |
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110 by (auto dest:vd_cons vt_grant vt_grant_os) |
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111 from p1 p4' have a1: "\<lbrakk>p \<in> current_procs s; p' \<notin> current_procs s\<rbrakk> |
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112 \<Longrightarrow> valid (enrich_proc s p p')" by (auto simp:vd) |
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113 have c1: "valid (enrich_proc (e # s) p p')" |
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114 apply (case_tac e) |
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115 using a1 os p5 |
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116 apply (auto) |
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117 sorry |
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118 moreover have c2: "p' \<in> current_procs (enrich_proc (e # s) p p')" |
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119 sorry |
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120 moreover have c3: "co2sobj (enrich_proc (e # s) p p') (O_proc p') = co2sobj (enrich_proc (e # s) p p') (O_proc p)" |
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121 sorry |
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122 moreover have c4: "alive (e # s) obj \<longrightarrow> |
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123 alive (enrich_proc (e # s) p p') obj \<and> co2sobj (enrich_proc (e # s) p p') obj = co2sobj (e # s) obj" |
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124 sorry |
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125 ultimately show ?case by auto |
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126 qed |
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127 |
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128 |
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129 |
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130 lemma "alive s obj \<Longrightarrow> alive (enrich_proc s p p') obj" |
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131 apply (induct s, simp) |
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132 apply (case_tac a, case_tac[!] obj) |
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133 apply (auto simp:is_file_def is_dir_def split:option.splits t_inode_tag.splits) |
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134 thm is_file_other |
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135 |
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136 lemma enrich_proc_valid: |
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137 "\<lbrakk>p \<in> current_procs s; valid s; p \<in> init_procs \<longrightarrow> deleted (O_proc p) s; p' \<notin> current_procs s\<rbrakk> \<Longrightarrow> valid (enrich_proc s p p')" |
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138 apply (induct s, simp) |
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139 apply (frule vd_cons, frule vt_grant, frule vt_grant_os, case_tac a) |
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140 apply (auto intro!:valid.intros(2)) |
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141 prefer 28 |
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142 |
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143 |
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144 |
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145 end |
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146 |
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147 (* for any created obj, we can enrich trace with events that create new objs with the same static-properties *) |
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148 definition enriched:: "t_state \<Rightarrow> t_object set \<Rightarrow> t_state \<Rightarrow> bool" |
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149 where |
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150 "enriched s objs s' \<equiv> \<forall> obj \<in> objs. \<exists> obj'. \<not> alive s obj' \<and> obj' \<notin> objs \<and> |
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151 alive s' obj' \<and> co2sobj s' obj' = co2sobj s' obj" |
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152 |
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153 definition reserved:: "t_state \<Rightarrow> t_object set \<Rightarrow> t_state \<Rightarrow> bool" |
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154 where |
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155 "reserved s objs s' \<equiv> \<forall> obj. alive s obj \<longrightarrow> alive s' obj \<and> co2sobj s' obj = co2sobj s obj" |
19 |
156 |
20 definition enrichable :: "t_state \<Rightarrow> t_object set \<Rightarrow> bool" |
157 definition enrichable :: "t_state \<Rightarrow> t_object set \<Rightarrow> bool" |
21 where |
158 where |
22 "enrichable s objs \<equiv> \<exists> s'. valid s' \<and> s2ss s' = s2ss s \<and> enrich s objs s' \<and> reserve s objs s'" |
159 "enrichable s objs \<equiv> \<exists> s'. valid s' \<and> s2ss s' = s2ss s \<and> enriched s objs s' \<and> reserved s objs s'" |
23 |
160 |
24 definition is_created :: "t_state \<Rightarrow> t_object \<Rightarrow> bool" |
161 fun is_created :: "t_state \<Rightarrow> t_object \<Rightarrow> bool" |
25 where |
162 where |
26 "is_created s obj \<equiv> init_alive obj \<longrightarrow> deleted obj s" |
163 "is_created s (O_file f) = (\<forall> f' \<in> same_inode_files s f. init_alive (O_file f') \<longrightarrow> deleted (O_file f') s)" |
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164 | "is_created s obj = (init_alive obj \<longrightarrow> deleted obj s)" |
27 |
165 |
28 definition is_inited :: "t_state \<Rightarrow> t_object \<Rightarrow> bool" |
166 definition is_inited :: "t_state \<Rightarrow> t_object \<Rightarrow> bool" |
29 where |
167 where |
30 "is_inited s obj \<equiv> init_alive obj \<and> \<not> deleted obj s" |
168 "is_inited s obj \<equiv> init_alive obj \<and> \<not> deleted obj s" |
31 |
169 |
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170 (* |
32 lemma is_inited_eq_not_created: |
171 lemma is_inited_eq_not_created: |
33 "is_inited s obj = (\<not> is_created s obj)" |
172 "is_inited s obj = (\<not> is_created s obj)" |
34 by (auto simp:is_created_def is_inited_def) |
173 by (auto simp:is_created_def is_inited_def) |
35 |
174 *) |
36 |
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37 |
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38 |
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39 |
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40 |
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41 lemma d2s_main_execve: |
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42 "valid (Execve p f fds # s) \<Longrightarrow> s2ss (Execve p f fds # s) \<in> static" |
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43 apply (frule vd_cons, frule vt_grant_os, clarsimp simp:s2ss_execve) |
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44 sorry |
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45 |
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46 lemma d2s_main: |
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47 "valid s \<Longrightarrow> s2ss s \<propto> static" |
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48 apply (induct s, simp add:s2ss_nil_prop init_ss_in_def) |
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49 apply (rule_tac x = "init_static_state" in bexI, simp, simp add:s_init) |
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50 apply (frule vd_cons, frule vt_grant_os, simp) |
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51 apply (case_tac a) |
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52 apply (clarsimp simp add:s2ss_execve) |
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53 apply (rule conjI, rule impI) |
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54 |
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55 |
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56 |
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57 sorry |
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58 |
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59 |
175 |
60 lemma many_sq_imp_sms: |
176 lemma many_sq_imp_sms: |
61 "\<lbrakk>S_msgq (Create, sec, sms) \<in> ss; ss \<in> static\<rbrakk> \<Longrightarrow> \<forall> sm \<in> (set sms). is_many_smsg sm" |
177 "\<lbrakk>S_msgq (Create, sec, sms) \<in> ss; ss \<in> static\<rbrakk> \<Longrightarrow> \<forall> sm \<in> (set sms). is_many_smsg sm" |
62 sorry |
178 sorry |
63 |
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64 |
179 |
65 (* recorded in our static world *) |
180 (* recorded in our static world *) |
66 fun recorded :: "t_object \<Rightarrow> bool" |
181 fun recorded :: "t_object \<Rightarrow> bool" |
67 where |
182 where |
68 "recorded (O_proc p) = True" |
183 "recorded (O_proc p) = True" |
70 | "recorded (O_dir f) = True" |
185 | "recorded (O_dir f) = True" |
71 | "recorded (O_node n) = False" (* cause socket is temperary not considered *) |
186 | "recorded (O_node n) = False" (* cause socket is temperary not considered *) |
72 | "recorded (O_shm h) = True" |
187 | "recorded (O_shm h) = True" |
73 | "recorded (O_msgq q) = True" |
188 | "recorded (O_msgq q) = True" |
74 | "recorded _ = False" |
189 | "recorded _ = False" |
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190 |
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191 lemma cf2sfile_fi_init_file: |
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192 "\<lbrakk>cf2sfile s f = Some (Init f', sec, psec, asecs); is_file s f; valid s\<rbrakk> |
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193 \<Longrightarrow> is_init_file f \<and> \<not> deleted (O_file f) s" |
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194 apply (simp add:cf2sfile_def sroot_def split:option.splits if_splits) |
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195 apply (case_tac f, simp, drule root_is_dir', simp+) |
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196 done |
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197 |
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198 lemma root_not_deleted: |
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199 "valid s \<Longrightarrow> \<not> deleted (O_dir []) s" |
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200 apply (induct s, simp) |
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201 apply (frule vd_cons, frule vt_grant_os, case_tac a) |
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202 by auto |
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203 |
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204 lemma cf2sfile_fi_init_dir: |
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205 "\<lbrakk>cf2sfile s f = Some (Init f', sec, psec, asecs); is_dir s f; valid s\<rbrakk> |
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206 \<Longrightarrow> is_init_dir f \<and> \<not> deleted (O_dir f) s" |
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207 apply (simp add:cf2sfile_def sroot_def split:option.splits if_splits) |
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208 apply (case_tac f, simp add:root_is_init_dir root_not_deleted, simp) |
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209 apply (drule file_dir_conflict, simp+) |
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210 done |
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211 |
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212 lemma is_created_imp_many: |
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213 "\<lbrakk>is_created s obj; co2sobj s obj = Some sobj; alive s obj; valid s\<rbrakk> \<Longrightarrow> is_many sobj" |
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214 apply (case_tac obj, auto simp:co2sobj.simps split:option.splits) |
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215 apply (case_tac [!] a) |
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216 apply (auto simp:cp2sproc_def ch2sshm_def cq2smsgq_def cf2sfiles_def same_inode_files_def |
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217 split:option.splits if_splits) |
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218 apply (frule cf2sfile_fi_init_file, simp add:is_file_def, simp) |
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219 apply (erule_tac x = f' in allE, simp) |
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220 apply (frule cf2sfile_fi_init_dir, simp+)+ |
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221 done |
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222 |
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223 lemma anotherp_imp_manysp: |
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224 "\<lbrakk>cp2sproc s p = Some sp; co2sobj s (O_proc p') = co2sobj s (O_proc p); p' \<noteq> p; |
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225 p' \<in> current_procs s; p \<in> current_procs s\<rbrakk> |
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226 \<Longrightarrow> is_many_sproc sp" |
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227 by (case_tac sp, auto simp:cp2sproc_def co2sobj.simps split:option.splits if_splits) |
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228 |
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229 lemma is_file_has_sfs: |
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230 "\<lbrakk>is_file s f; valid s; cf2sfile s f = Some sf\<rbrakk> |
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231 \<Longrightarrow> \<exists> sfs. co2sobj s (O_file f) = Some (S_file sfs (O_file f \<in> Tainted s)) \<and> sf \<in> sfs" |
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232 apply (rule_tac x = "{sf' | f' sf'. cf2sfile s f' = Some sf' \<and> f' \<in> same_inode_files s f}" in exI) |
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233 apply (auto simp:co2sobj.simps cf2sfiles_def tainted_eq_Tainted) |
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234 apply (rule_tac x = f in exI, simp add:same_inode_files_prop9) |
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235 done |
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236 |
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237 declare Product_Type.split_paired_Ex Product_Type.split_paired_All [simp del] |
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238 |
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239 lemma current_proc_in_s2ss: |
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240 "\<lbrakk>cp2sproc s p = Some sp; p \<in> current_procs s; valid s\<rbrakk> |
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241 \<Longrightarrow> S_proc sp (O_proc p \<in> Tainted s) \<in> s2ss s" |
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242 apply (simp add:s2ss_def, rule_tac x = "O_proc p" in exI) |
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243 apply (auto simp:co2sobj.simps tainted_eq_Tainted) |
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244 done |
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245 |
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246 lemma current_file_in_s2ss: |
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247 "\<lbrakk>co2sobj s (O_file f) = Some (S_file sfs tagf); is_file s f; valid s\<rbrakk> |
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248 \<Longrightarrow> S_file sfs tagf \<in> s2ss s" |
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249 by (simp add:s2ss_def, rule_tac x = "O_file f" in exI, simp) |
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250 |
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251 declare npctxt_execve.simps grant_execve.simps search_check.simps [simp del] |
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252 |
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253 |
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254 lemma npctxt_execve_eq_sec: |
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255 "\<lbrakk>sectxt_of_obj (Execve p f fds # s) (O_proc p) = Some sec'; sectxt_of_obj s (O_proc p) = Some sec; |
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256 sectxt_of_obj s (O_file f) = Some fsec; valid (Execve p f fds # s)\<rbrakk> |
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257 \<Longrightarrow> npctxt_execve sec fsec = Some sec'" |
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258 by (case_tac sec, case_tac fsec, auto simp:npctxt_execve.simps sectxt_of_obj_simps split:option.splits) |
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259 |
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260 lemma npctxt_execve_eq_cp2sproc: |
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261 "\<lbrakk>cp2sproc (Execve p f fds # s) p = Some (pi', sec', sfds', shms'); valid (Execve p f fds # s); |
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262 cp2sproc s p = Some (pi, sec, sfds, shms); cf2sfile s f = Some (fi, fsec, psec, asecs)\<rbrakk> |
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263 \<Longrightarrow> npctxt_execve sec fsec = Some sec'" |
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264 apply (frule vt_grant_os, frule vd_cons) |
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265 apply (rule npctxt_execve_eq_sec, auto simp:cp2sproc_def cf2sfile_def split:option.splits) |
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266 apply (case_tac f, auto dest:root_is_dir') |
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267 done |
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268 |
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269 lemma seach_check_eq_static: |
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270 "\<lbrakk>cf2sfile s f = Some sf; valid s; is_dir s f \<or> is_file s f\<rbrakk> |
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271 \<Longrightarrow> search_check_s sec sf (is_file s f) = search_check s sec f" |
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272 apply (case_tac sf) |
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273 apply (induct f) |
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274 apply (auto simp:search_check_s_def search_check.simps cf2sfile_def sroot_def |
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275 root_sec_remains init_sectxt_prop sec_of_root_valid |
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276 dest!:root_is_dir' current_has_sec' split:option.splits) |
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277 apply (simp add:search_check_allp_def) |
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278 done |
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279 |
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280 lemma grant_execve_intro_execve: |
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281 "\<lbrakk>cp2sproc (Execve p f fds # s) p = Some (pi', sec', sfds', shms'); valid (Execve p f fds # s); |
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282 cp2sproc s p = Some (pi, sec, sfds, shms); cf2sfile s f = Some (fi, fsec, psec, asecs)\<rbrakk> |
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283 \<Longrightarrow> grant_execve sec fsec sec'" |
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284 apply (frule vt_grant_os, frule vd_cons, frule vt_grant) |
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285 apply (auto split:option.splits dest!:current_has_sec' simp del:grant_execve.simps simp add:cp2sproc_execve) |
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286 apply (erule_tac x = aba in allE, erule_tac x = aca in allE, erule_tac x = bb in allE) |
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287 apply (auto simp del:grant_execve.simps simp add:cp2sproc_def cf2sfile_def split:option.splits) |
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288 apply (case_tac f, simp, drule root_is_dir', simp, simp, simp) |
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289 apply (simp add:sectxt_of_obj_simps) |
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290 done |
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291 |
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292 lemma search_check_intro_execve: |
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293 "\<lbrakk>cp2sproc s p = Some (pi, sec, sfds, shms); valid (Execve p f fds # s)\<rbrakk> |
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294 \<Longrightarrow> search_check s sec f" |
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295 apply (frule vt_grant_os, frule vd_cons, frule vt_grant) |
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296 apply (auto split:option.splits dest!:current_has_sec' simp del:grant_execve.simps simp add:cp2sproc_execve) |
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297 apply (erule_tac x = aaa in allE, erule_tac x = ab in allE, erule_tac x = ba in allE) |
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298 apply (auto simp add:cp2sproc_def cf2sfile_def split:option.splits) |
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299 done |
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300 |
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301 lemma inherit_fds_check_intro_execve: |
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302 "\<lbrakk>cp2sproc (Execve p f fds # s) p = Some (pi', sec', sfds', shms'); valid (Execve p f fds # s)\<rbrakk> |
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303 \<Longrightarrow> inherit_fds_check s sec' p fds" |
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304 apply (frule vt_grant_os, frule vd_cons, frule vt_grant) |
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305 apply (auto split:option.splits dest!:current_has_sec' simp add:cp2sproc_execve) |
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306 apply (erule_tac x = aba in allE, erule_tac x = aca in allE, erule_tac x = bb in allE) |
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307 apply (auto simp add:cp2sproc_def cf2sfile_def split:option.splits) |
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308 apply (simp add:sectxt_of_obj_simps) |
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309 done |
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310 |
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311 lemma execve_sfds_subset: |
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312 "\<lbrakk>cp2sproc (Execve p f fds # s) p = Some (pi', sec', sfds', shms'); valid (Execve p f fds # s); |
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313 cp2sproc s p = Some (pi, sec, sfds, shms)\<rbrakk> |
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314 \<Longrightarrow> sfds' \<subseteq> sfds" |
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315 apply (frule vt_grant_os) |
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316 apply (auto simp:cp2sproc_def cpfd2sfds_execve split:option.splits dest!:current_has_sec') |
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317 apply (simp add:cpfd2sfds_def) |
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318 apply (rule_tac x = fd in bexI, auto simp:proc_file_fds_def) |
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319 done |
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320 |
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321 lemma inherit_fds_check_imp_static: |
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322 "\<lbrakk>cp2sproc (Execve p f fds # s) p = Some (pi', sec', sfds', shms'); |
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323 inherit_fds_check s sec' p fds; valid (Execve p f fds # s)\<rbrakk> |
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324 \<Longrightarrow> inherit_fds_check_s sec' sfds'" |
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325 apply (frule vt_grant_os, frule vd_cons, frule vt_grant) |
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326 apply (auto simp:cp2sproc_def cpfd2sfds_execve inherit_fds_check_def inherit_fds_check_s_def split:option.splits) |
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327 apply (erule_tac x = "(ad, ae, bc)" in ballE, auto simp:sectxts_of_sfds_def sectxts_of_fds_def) |
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328 apply (erule_tac x = fd in ballE, auto simp:cfd2sfd_def split:option.splits) |
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329 done |
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330 |
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331 lemma d2s_main_execve_grant_aux: |
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332 "\<lbrakk>cp2sproc (Execve p f fds # s) p = Some (pi', sec', sfds', shms'); valid (Execve p f fds # s); |
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333 cp2sproc s p = Some (pi, sec, sfds, shms); cf2sfile s f = Some (fi, fsec, psec, asecs)\<rbrakk> |
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334 \<Longrightarrow> (npctxt_execve sec fsec = Some sec') \<and> grant_execve sec fsec sec' \<and> |
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335 search_check_s sec (fi, fsec, psec, asecs) (is_file s f) \<and> |
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336 inherit_fds_check_s sec' sfds' \<and> sfds' \<subseteq> sfds" |
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337 apply (rule conjI, erule_tac pi = pi and sec = sec and sfds = sfds and |
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338 shms = shms and fi = fi and fsec = fsec and psec = psec and |
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339 asecs = asecs in npctxt_execve_eq_cp2sproc, simp, simp, simp) |
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340 apply (rule conjI, erule_tac pi = pi and sec = sec and sfds = sfds and |
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341 shms = shms and fi = fi and fsec = fsec and psec = psec and |
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342 asecs = asecs in grant_execve_intro_execve, simp, simp, simp) |
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343 apply (rule conjI, drule_tac sec = sec in search_check_intro_execve, simp) |
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344 apply (frule vd_cons, frule vt_grant_os) |
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345 apply (drule_tac sec = sec in seach_check_eq_static, simp, simp, simp) |
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346 apply (rule conjI, rule inherit_fds_check_imp_static, simp) |
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347 apply (erule inherit_fds_check_intro_execve, simp, simp) |
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348 apply (erule_tac pi = pi and sfds = sfds and shms = shms in execve_sfds_subset, simp+) |
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349 done |
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350 |
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351 lemma d2s_main_execve: |
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352 "\<lbrakk>valid (Execve p f fds # s); s2ss s \<propto> static\<rbrakk> \<Longrightarrow> s2ss (Execve p f fds # s) \<propto> static" |
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353 apply (frule vd_cons, frule vt_grant_os, clarsimp) |
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354 apply (frule is_file_has_sfile', simp, erule exE, frule is_file_has_sfs, simp+, erule exE, erule conjE) |
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355 apply (auto simp:s2ss_execve split:if_splits option.splits dest:current_proc_has_sp') |
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356 apply (clarsimp simp add:init_ss_in_def init_ss_eq_def) |
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357 apply (rule_tac x = "update_ss ss' (S_proc (ah, (ai, aj, bd), ak, be) (O_proc p \<in> Tainted s)) |
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358 (S_proc (ad, (ae, af, bb), ag, bc) (O_proc p \<in> Tainted s \<or> O_file f \<in> Tainted s))" in bexI) |
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359 apply (auto simp:update_ss_def elim:Set.subset_insertI2 simp:anotherp_imp_manysp)[1] |
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360 apply (case_tac "ah = ad", case_tac "bc = {}", simp) |
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361 apply (erule_tac sfs = sfs and fi = a and fsec = "(aa, ab,b)" and pfsec = ac and asecs = ba in s_execve, |
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362 auto intro:current_proc_in_s2ss current_file_in_s2ss split:option.splits dest:d2s_main_execve_grant_aux)[1] |
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363 apply (simp add:cp2sproc_execve split:option.splits) |
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364 apply (simp add:cp2sproc_def split:option.splits if_splits) |
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365 |
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366 apply (clarsimp simp add:init_ss_in_def init_ss_eq_def) |
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367 apply (rule_tac x = "update_ss ss' (S_proc (ah, (ai, aj, bd), ak, be) (O_proc p \<in> Tainted s)) |
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368 (S_proc (ad, (ae, af, bb), ag, bc) (O_proc p \<in> Tainted s \<or> O_file f \<in> Tainted s))" in bexI) |
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369 apply (rule conjI, simp add:update_ss_def) |
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370 apply (rule conjI, simp add:update_ss_def) |
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371 apply (auto)[1] |
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372 apply (simp add:update_ss_def) |
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373 apply (rule conjI, rule impI) |
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374 apply (rule subsetI, clarsimp) |
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375 apply (erule impE) |
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376 apply (erule set_mp, simp) |
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377 apply (case_tac ah, simp+) |
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378 apply (rule impI, rule subsetI, clarsimp) |
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379 apply (erule set_mp, simp) |
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380 |
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381 apply (case_tac "ah = ad", case_tac "bc = {}", simp) |
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382 apply (erule_tac sfs = sfs and fi = a and fsec = "(aa, ab,b)" and pfsec = ac and asecs = ba in s_execve, |
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383 auto intro:current_proc_in_s2ss current_file_in_s2ss split:option.splits dest:d2s_main_execve_grant_aux)[1] |
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384 apply (simp add:cp2sproc_execve split:option.splits) |
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385 apply (simp add:cp2sproc_def split:option.splits if_splits) |
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386 done |
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387 |
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388 lemma co2sobj_eq_alive_proc_imp: |
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389 "\<lbrakk>co2sobj s obj = co2sobj s (O_proc p); alive s (O_proc p); valid s\<rbrakk> |
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390 \<Longrightarrow> \<exists> p'. obj = O_proc p'" |
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391 by (auto simp add:co2sobj.simps split:option.splits dest:current_proc_has_sp' intro:co2sobj_sproc_imp) |
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392 |
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393 |
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394 lemma enrichable_execve: |
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395 assumes p1: "\<And> objs. \<forall> obj \<in> objs. alive s obj \<and> is_created s obj \<and> recorded obj |
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396 \<Longrightarrow> \<exists> s'. valid s' \<and> s2ss s' = s2ss s \<and> enriched s objs s' \<and> reserved s objs s'" |
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397 and p2: "valid (e # s)" and p3: "\<forall>obj\<in>objs. alive (e # s) obj \<and> is_created (e # s) obj \<and> recorded obj" |
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398 and p4: "e = Execve p f fds" |
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399 shows "enrichable (e # s) objs" |
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400 proof- |
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401 from p2 have os: "os_grant s e" and se: "grant s e" and vd: "valid s" |
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402 by (auto dest:vt_grant_os vd_cons vt_grant) |
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403 from p3 have recorded: "\<forall> obj \<in> objs. recorded obj" by auto |
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404 from p3 p4 p2 have p1': "\<forall> obj \<in> objs. alive s obj \<and> is_created s obj" |
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405 apply clarify |
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406 apply (erule_tac x = obj in ballE, simp add:alive_simps) |
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407 apply (case_tac obj, auto simp:same_inode_files_simps) |
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408 done |
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409 then obtain s' where a1: "valid s'" and a2: "s2ss s' = s2ss s" and a3: "enriched s objs s'" |
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410 and a4: "reserved s objs s'" |
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411 using p1 recorded by metis |
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412 show ?thesis |
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413 proof (cases "O_proc p \<in> objs") |
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414 case True |
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415 hence p_in: "p \<in> current_procs s'" using a4 os p4 |
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416 by (auto simp:reserved_def elim:allE[where x = "O_proc p"]) |
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417 with a1 a3 True obtain p' where b1: "\<not> alive s (O_proc p')" and b2: "O_proc p' \<notin> objs" |
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418 and b3: "alive s' (O_proc p')" and b4: "co2sobj s' (O_proc p') = co2sobj s' (O_proc p)" |
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419 apply (simp only:enriched_def) |
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420 apply (erule_tac x = "O_proc p" in ballE) |
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421 apply (erule exE|erule conjE)+ |
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422 apply (frule co2sobj_eq_alive_proc_imp, auto) |
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423 done |
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424 have "valid (Execve p' f fds # e # s')" |
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425 sorry |
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426 moreover have "s2ss (Execve p' f fds # e # s') = s2ss (e # s)" |
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427 sorry |
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428 moreover have "enriched (e # s) objs (Execve p' f fds # e # s')" |
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429 sorry |
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430 moreover have "reserved (e # s) objs (Execve p' f fds # e # s')" |
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431 sorry |
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432 ultimately show ?thesis |
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433 apply (simp add:enrichable_def) |
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434 apply (rule_tac x = "Execve p' f fds # e # s'" in exI) |
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435 by auto |
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436 next |
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437 case False |
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438 from a4 os p4 have "p \<in> current_procs s'" |
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439 apply (simp add:reserved_def) |
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440 by (erule_tac x = "O_proc p" in allE, auto) |
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441 moreover from a4 os p4 have "is_file s' f" |
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442 apply (simp add:reserved_def) |
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443 by (erule_tac x = "O_file f" in allE, auto) |
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444 moreover from a4 os p4 have "fds \<subseteq> current_proc_fds s' p" |
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445 apply (rule_tac subsetI, clarsimp simp:reserved_def current_proc_fds.simps) |
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446 apply (erule_tac x = "O_fd p x" in allE, erule impE) |
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447 apply (simp, erule set_mp, simp+) |
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448 done |
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449 ultimately have "os_grant s' e" |
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450 by (simp add:p4) |
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451 moreover have "grant s' e" |
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452 sorry |
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453 ultimately have "valid (e # s')" |
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454 using a1 by (erule_tac valid.intros(2), simp+) |
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455 thus ?thesis |
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456 apply (simp add:enrichable_def) |
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457 apply (rule_tac x = "e # s'" in exI) |
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458 apply (simp) |
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459 sorry |
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460 qed |
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461 |
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462 lemma s2d_main_execve: |
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463 "\<lbrakk>grant_execve pctxt fsec pctxt'; ss \<in> static; S_proc (pi, pctxt, fds, shms) tagp \<in> ss; S_file sfs tagf \<in> ss; |
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464 (fi, fsec, pfsec, asecs) \<in> sfs; npctxt_execve pctxt fsec = Some pctxt'; |
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465 search_check_s pctxt (fi, fsec, pfsec, asecs) True; inherit_fds_check_s pctxt' fds'; fds' \<subseteq> fds; valid s; |
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466 s2ss s = ss\<rbrakk> \<Longrightarrow> \<exists>s. valid s \<and> |
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467 s2ss s = update_ss ss (S_proc (pi, pctxt, fds, shms) tagp) (S_proc (pi, pctxt', fds', {}) (tagp \<or> tagf))" |
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468 apply (simp add:update_ss_def) |
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469 thm update_ss_def |
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470 sorry |
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471 |
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472 |
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473 lemma s2d_main_execve: |
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474 "ss \<in> static \<Longrightarrow> \<exists> s. valid s \<and> s2ss s = ss" |
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475 apply (erule static.induct) |
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476 apply (rule_tac x = "[]" in exI, simp add:s2ss_nil_prop valid.intros) |
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477 apply (erule exE|erule conjE)+ |
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478 apply (rule s2d_main_execve, simp+) |
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479 |
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480 apply (erule exE|erule conjE)+ |
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481 |
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482 apply (simp add:update_ss_def) |
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483 |
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484 sorry |
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485 |
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486 |
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487 |
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488 (*********************** uppest-level 3 theorems ***********************) |
75 |
489 |
76 lemma enrichability: |
490 lemma enrichability: |
77 "\<lbrakk>valid s; \<forall> obj \<in> objs. alive s obj \<and> is_created s obj \<and> recorded obj\<rbrakk> |
491 "\<lbrakk>valid s; \<forall> obj \<in> objs. alive s obj \<and> is_created s obj \<and> recorded obj\<rbrakk> |
78 \<Longrightarrow> enrichable s objs" |
492 \<Longrightarrow> enrichable s objs" |
79 proof (induct s arbitrary:objs) |
493 proof (induct s arbitrary:objs) |