| author | Cezary Kaliszyk <kaliszyk@in.tum.de> |
| Wed, 08 Jun 2011 07:06:20 +0900 | |
| changeset 2829 | 0acb0b8f4106 |
| parent 2625 | 478c5648e73f |
| child 2950 | 0911cb7bf696 |
| permissions | -rw-r--r-- |
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2454
9ffee4eb1ae1
renamed NewParser to Nominal2
Christian Urban <urbanc@in.tum.de>
parents:
2436
diff
changeset
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1 |
theory Ex1 |
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9ffee4eb1ae1
renamed NewParser to Nominal2
Christian Urban <urbanc@in.tum.de>
parents:
2436
diff
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2 |
imports "../Nominal2" |
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2045
6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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3 |
begin |
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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4 |
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2454
9ffee4eb1ae1
renamed NewParser to Nominal2
Christian Urban <urbanc@in.tum.de>
parents:
2436
diff
changeset
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5 |
(* free names in bar are bound in foo *) |
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2045
6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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6 |
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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7 |
atom_decl name |
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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8 |
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2611
3d101f2f817c
simple cases for strong inducts done; infrastructure for the difficult ones is there
Christian Urban <urbanc@in.tum.de>
parents:
2593
diff
changeset
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9 |
thm finite_sets_supp |
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2561
7926f1cb45eb
respectfulness for permute_bn functions
Christian Urban <urbanc@in.tum.de>
parents:
2475
diff
changeset
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10 |
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2045
6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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11 |
nominal_datatype foo = |
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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12 |
Foo0 "name" |
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2436
3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2147
diff
changeset
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13 |
| Foo1 b::"bar" f::"foo" bind (set) "bv b" in f |
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2045
6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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14 |
and bar = |
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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15 |
Bar0 "name" |
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2436
3885dc2669f9
cleaned up (almost completely) the examples
Christian Urban <urbanc@in.tum.de>
parents:
2147
diff
changeset
|
16 |
| Bar1 "name" s::"name" b::"bar" bind (set) s in b |
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2045
6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
17 |
binder |
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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18 |
bv |
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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19 |
where |
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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20 |
"bv (Bar0 x) = {}"
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
21 |
| "bv (Bar1 v x b) = {atom v}"
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
22 |
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2593
25dcb2b1329e
ordered raw_bn_info to agree with the order of the raw_bn_functions; started alpha_bn proof
Christian Urban <urbanc@in.tum.de>
parents:
2561
diff
changeset
|
23 |
thm foo_bar.perm_bn_alpha |
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25dcb2b1329e
ordered raw_bn_info to agree with the order of the raw_bn_functions; started alpha_bn proof
Christian Urban <urbanc@in.tum.de>
parents:
2561
diff
changeset
|
24 |
thm foo_bar.perm_bn_simps |
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25dcb2b1329e
ordered raw_bn_info to agree with the order of the raw_bn_functions; started alpha_bn proof
Christian Urban <urbanc@in.tum.de>
parents:
2561
diff
changeset
|
25 |
thm foo_bar.bn_finite |
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25dcb2b1329e
ordered raw_bn_info to agree with the order of the raw_bn_functions; started alpha_bn proof
Christian Urban <urbanc@in.tum.de>
parents:
2561
diff
changeset
|
26 |
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|
25dcb2b1329e
ordered raw_bn_info to agree with the order of the raw_bn_functions; started alpha_bn proof
Christian Urban <urbanc@in.tum.de>
parents:
2561
diff
changeset
|
27 |
thm foo_bar.eq_iff |
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2475
486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
28 |
thm foo_bar.distinct |
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486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
29 |
thm foo_bar.induct |
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486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
30 |
thm foo_bar.inducts |
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486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
31 |
thm foo_bar.exhaust |
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486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
32 |
thm foo_bar.fv_defs |
|
486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
33 |
thm foo_bar.bn_defs |
|
486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
34 |
thm foo_bar.perm_simps |
|
486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
35 |
thm foo_bar.eq_iff |
|
486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
36 |
thm foo_bar.fv_bn_eqvt |
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486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
37 |
thm foo_bar.size_eqvt |
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486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
38 |
thm foo_bar.supports |
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486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
39 |
thm foo_bar.fsupp |
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486d4647bb37
supp-proofs work except for CoreHaskell and Modules (induct is probably not finding the correct instance)
Christian Urban <urbanc@in.tum.de>
parents:
2454
diff
changeset
|
40 |
thm foo_bar.supp |
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2454
9ffee4eb1ae1
renamed NewParser to Nominal2
Christian Urban <urbanc@in.tum.de>
parents:
2436
diff
changeset
|
41 |
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9ffee4eb1ae1
renamed NewParser to Nominal2
Christian Urban <urbanc@in.tum.de>
parents:
2436
diff
changeset
|
42 |
lemma |
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2625
478c5648e73f
moved generic functions into nominal_library
Christian Urban <urbanc@in.tum.de>
parents:
2611
diff
changeset
|
43 |
"supp (Foo1 (Bar1 v x (Bar0 x)) (Foo0 v)) = {}"
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478c5648e73f
moved generic functions into nominal_library
Christian Urban <urbanc@in.tum.de>
parents:
2611
diff
changeset
|
44 |
apply(simp only: foo_bar.supp) |
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2454
9ffee4eb1ae1
renamed NewParser to Nominal2
Christian Urban <urbanc@in.tum.de>
parents:
2436
diff
changeset
|
45 |
apply(simp only: foo_bar.bn_defs) |
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9ffee4eb1ae1
renamed NewParser to Nominal2
Christian Urban <urbanc@in.tum.de>
parents:
2436
diff
changeset
|
46 |
apply(simp only: supp_at_base) |
|
9ffee4eb1ae1
renamed NewParser to Nominal2
Christian Urban <urbanc@in.tum.de>
parents:
2436
diff
changeset
|
47 |
apply(simp) |
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9ffee4eb1ae1
renamed NewParser to Nominal2
Christian Urban <urbanc@in.tum.de>
parents:
2436
diff
changeset
|
48 |
done |
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2082
0854af516f14
cleaned up a bit the examples; added equivariance to all examples
Christian Urban <urbanc@in.tum.de>
parents:
2045
diff
changeset
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49 |
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2045
6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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50 |
end |
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
51 |
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6800fcaafa2a
Separate Term8, as it may work soon.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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52 |