Nominal/Ex2.thy
author Cezary Kaliszyk <kaliszyk@in.tum.de>
Sat, 27 Mar 2010 08:17:43 +0100
changeset 1672 94b8b70f7bc0
parent 1596 c69d9fb16785
permissions -rw-r--r--
Initial proof modifications for alpha_res
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
1596
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
     1
theory Ex2
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
     2
imports "Parser"
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
     3
begin
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
     4
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
     5
text {* example 2 *}
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
     6
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
     7
atom_decl name
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
     8
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
     9
ML {* val _ = recursive := false  *}
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    10
nominal_datatype trm' =
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    11
  Var "name"
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    12
| App "trm'" "trm'"
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    13
| Lam x::"name" t::"trm'"          bind x in t
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    14
| Let p::"pat'" "trm'" t::"trm'"   bind "f p" in t
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    15
and pat' =
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    16
  PN
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    17
| PS "name"
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    18
| PD "name" "name"
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    19
binder
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    20
  f::"pat' \<Rightarrow> atom set"
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    21
where
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    22
  "f PN = {}"
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    23
| "f (PD x y) = {atom x, atom y}"
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    24
| "f (PS x) = {atom x}"
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    25
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    26
thm trm'_pat'.fv
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    27
thm trm'_pat'.eq_iff
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    28
thm trm'_pat'.bn
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    29
thm trm'_pat'.perm
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    30
thm trm'_pat'.induct
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    31
thm trm'_pat'.distinct
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    32
thm trm'_pat'.fv[simplified trm'_pat'.supp]
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    33
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    34
end
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    35
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    36
c69d9fb16785 Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff changeset
    37