| author | wenzelm |
| Sun, 22 Jan 2006 18:46:00 +0100 | |
| changeset 18743 | 7ff2934480c9 |
| parent 14981 | e73f8140af78 |
| child 20713 | 823967ef47f1 |
| permissions | -rw-r--r-- |
| 13208 | 1 |
(* Title: HOL/Prolog/Type.ML |
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ID: $Id$ |
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Author: David von Oheimb (based on a lecture on Lambda Prolog by Nadathur) |
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*) |
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val prog_Type = prog_Func @ [good_typeof,common_typeof]; |
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fun pgoal s = (case Goal s of _ => by (prolog_tac prog_Type)); |
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val p = ptac prog_Type 1; |
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pgoal "typeof (abs(%n. abs(%m. abs(%p. p and (n eq m))))) ?T"; |
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pgoal "typeof (fix (%x. x)) ?T"; |
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11701
3d51fbf81c17
sane numerals (stage 1): added generic 1, removed 1' and 2 on nat,
wenzelm
parents:
9015
diff
changeset
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pgoal "typeof (fix (%fact. abs(%n. (app fact (n - 0))))) ?T"; |
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pgoal "typeof (fix (%fact. abs(%n. cond (n eq 0) (S 0) \ |
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\(n * (app fact (n - (S 0))))))) ?T"; |
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pgoal "typeof (abs(%v. 0)) ?T"; (*correct only solution (?A1 -> nat) *) |
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Goal "typeof (abs(%v. 0)) ?T"; |
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by (prolog_tac [bad1_typeof,common_typeof]); (* 1st result ok*) |
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back(); (* 2nd result (?A1 -> ?A1) wrong *) |
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(*pgoal "typeof (abs(%v. abs(%v. app v v))) ?T"; correctly fails*) |
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Goal "typeof (abs(%v. abs(%v. app v v))) ?T"; |
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by (prolog_tac [bad2_typeof,common_typeof]); |
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(* wrong result ((?A3 -> ?B3) -> ?A3 -> ?B3)*) |