| author | Christian Urban <urbanc@in.tum.de> |
| Fri, 27 Aug 2010 03:37:17 +0800 | |
| changeset 2440 | 0a36825b16c1 |
| parent 2436 | 3885dc2669f9 |
| child 2448 | b9d9c4540265 |
| permissions | -rw-r--r-- |
|
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
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1 |
theory SingleLet |
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2024
d974059827ad
Equivariance fails for single let?
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
1911
diff
changeset
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2 |
imports "../NewParser" |
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1596
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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begin |
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c69d9fb16785
Move Ex1 and Ex2 out of Test
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parents:
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c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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atom_decl name |
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c69d9fb16785
Move Ex1 and Ex2 out of Test
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parents:
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2436
3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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7 |
declare [[STEPS = 100]] |
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2294
72ad4e766acf
properly exported bn_descr
Christian Urban <urbanc@in.tum.de>
parents:
2293
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2436
3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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9 |
nominal_datatype single_let: trm = |
|
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
10 |
Var "name" |
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60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
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| App "trm" "trm" |
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2424
621ebd8b13c4
changed parser so that the binding mode is indicated as "bind (list)", "bind (set)" or "bind (res)"; if only "bind" is given, then bind (list) is assumed as default
Christian Urban <urbanc@in.tum.de>
parents:
2410
diff
changeset
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12 |
| Lam x::"name" t::"trm" bind x in t |
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621ebd8b13c4
changed parser so that the binding mode is indicated as "bind (list)", "bind (set)" or "bind (res)"; if only "bind" is given, then bind (list) is assumed as default
Christian Urban <urbanc@in.tum.de>
parents:
2410
diff
changeset
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13 |
| Let a::"assg" t::"trm" bind (set) "bn a" in t |
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621ebd8b13c4
changed parser so that the binding mode is indicated as "bind (list)", "bind (set)" or "bind (res)"; if only "bind" is given, then bind (list) is assumed as default
Christian Urban <urbanc@in.tum.de>
parents:
2410
diff
changeset
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14 |
| Foo x::"name" y::"name" t::"trm" t1::"trm" t2::"trm" bind (set) x in y t t1 t2 |
| 2296 | 15 |
| Bar x::"name" y::"name" t::"trm" bind y x in t x y |
| 2316 | 16 |
| Baz x::"name" t1::"trm" t2::"trm" bind x in t1, bind x in t2 |
|
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
17 |
and assg = |
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2320
d835a2771608
prove that alpha implies alpha_bn (needed for rsp proofs)
Christian Urban <urbanc@in.tum.de>
parents:
2318
diff
changeset
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18 |
As "name" x::"name" t::"trm" bind x in t |
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1596
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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19 |
binder |
|
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
20 |
bn::"assg \<Rightarrow> atom set" |
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1596
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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21 |
where |
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2320
d835a2771608
prove that alpha implies alpha_bn (needed for rsp proofs)
Christian Urban <urbanc@in.tum.de>
parents:
2318
diff
changeset
|
22 |
"bn (As x y t) = {atom x}"
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|
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
23 |
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2436
3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
|
24 |
thm single_let.distinct |
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3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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25 |
thm single_let.induct |
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3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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26 |
thm single_let.exhaust |
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3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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27 |
thm single_let.fv_defs |
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3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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thm single_let.bn_defs |
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3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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thm single_let.perm_simps |
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3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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thm single_let.eq_iff |
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3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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31 |
thm single_let.fv_bn_eqvt |
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3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
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32 |
thm single_let.size_eqvt |
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2405
29ebbe56f450
also able to lift the bn_defs
Christian Urban <urbanc@in.tum.de>
parents:
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2430
a746d49b0240
updated to new Isabelle
Christian Urban <urbanc@in.tum.de>
parents:
2428
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2436
3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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(* |
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428d9cb9a243
can also lift the various eqvt lemmas for bn, fv, fv_bn and size
Christian Urban <urbanc@in.tum.de>
parents:
2405
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2431
331873ebc5cd
can now deal with type variables in nominal datatype definitions
Christian Urban <urbanc@in.tum.de>
parents:
2430
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| 2361 | 38 |
lemma supp_fv: |
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"supp t = fv_trm t" |
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"supp b = fv_bn b" |
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apply(induct t and b rule: i1) |
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apply(simp_all add: f1) |
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apply(simp_all add: supp_def) |
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apply(simp_all add: b1) |
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sorry |
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consts perm_bn_trm :: "perm \<Rightarrow> trm \<Rightarrow> trm" |
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consts perm_bn_assg :: "perm \<Rightarrow> assg \<Rightarrow> assg" |
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lemma y: |
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"perm_bn_trm p (Var x) = (Var x)" |
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"perm_bn_trm p (App t1 t2) = (App t1 t2)" |
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"perm_bn_trm p ("
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| 2361 | 56 |
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2336
f2d545b77b31
added definition of the quotient types
Christian Urban <urbanc@in.tum.de>
parents:
2330
diff
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typ trm |
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f2d545b77b31
added definition of the quotient types
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parents:
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typ assg |
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f2d545b77b31
added definition of the quotient types
Christian Urban <urbanc@in.tum.de>
parents:
2330
diff
changeset
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59 |
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|
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
60 |
thm trm_assg.fv |
|
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
61 |
thm trm_assg.supp |
|
2024
d974059827ad
Equivariance fails for single let?
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
1911
diff
changeset
|
62 |
thm trm_assg.eq_iff |
|
1911
60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
63 |
thm trm_assg.bn |
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60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
64 |
thm trm_assg.perm |
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60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
65 |
thm trm_assg.induct |
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60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
66 |
thm trm_assg.inducts |
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60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
|
67 |
thm trm_assg.distinct |
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60b5c61d3de2
renamed Ex1.thy to SingleLet.thy
Christian Urban <urbanc@in.tum.de>
parents:
1773
diff
changeset
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68 |
ML {* Sign.of_sort @{theory} (@{typ trm}, @{sort fs}) *}
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2436
3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
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69 |
*) |
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2024
d974059827ad
Equivariance fails for single let?
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
1911
diff
changeset
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70 |
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2436
3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2434
diff
changeset
|
71 |
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2064
2725853f43b9
solved the problem with equivariance by first eta-normalising the goal
Christian Urban <urbanc@in.tum.de>
parents:
2028
diff
changeset
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72 |
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1596
c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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end |
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c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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75 |
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c69d9fb16785
Move Ex1 and Ex2 out of Test
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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76 |