| author | paulson |
| Tue, 29 Mar 2005 12:30:48 +0200 | |
| changeset 15635 | 8408a06590a6 |
| parent 14981 | e73f8140af78 |
| child 17311 | 5b1d47d920ce |
| permissions | -rw-r--r-- |
| 13208 | 1 |
(* Title: HOL/Prolog/Func.thy |
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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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untyped functional language, with call by value semantics |
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*) |
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Func = HOHH + |
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types tm |
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12338
de0f4a63baa5
renamed class "term" to "type" (actually "HOL.type");
wenzelm
parents:
9015
diff
changeset
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arities tm :: type |
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consts abs :: (tm => tm) => tm |
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app :: tm => tm => tm |
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cond :: tm => tm => tm => tm |
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fix :: (tm => tm) => tm |
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true, |
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false :: tm |
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"and" :: tm => tm => tm (infixr 999) |
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"eq" :: tm => tm => tm (infixr 999) |
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"0" :: tm ("Z")
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S :: tm => tm |
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(* |
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"++", "--", |
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"**" :: tm => tm => tm (infixr 999) |
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*) |
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eval :: [tm, tm] => bool |
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arities tm :: plus |
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arities tm :: minus |
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arities tm :: times |
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rules eval " |
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eval (abs RR) (abs RR).. |
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eval (app F X) V :- eval F (abs R) & eval X U & eval (R U) V.. |
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eval (cond P L1 R1) D1 :- eval P true & eval L1 D1.. |
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eval (cond P L2 R2) D2 :- eval P false & eval R2 D2.. |
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eval (fix G) W :- eval (G (fix G)) W.. |
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eval true true .. |
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eval false false.. |
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eval (P and Q) true :- eval P true & eval Q true .. |
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eval (P and Q) false :- eval P false | eval Q false.. |
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eval (A1 eq B1) true :- eval A1 C1 & eval B1 C1.. |
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eval (A2 eq B2) false :- True.. |
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eval Z Z.. |
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eval (S N) (S M) :- eval N M.. |
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eval ( Z + M) K :- eval M K.. |
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eval ((S N) + M) (S K) :- eval (N + M) K.. |
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eval (N - Z) K :- eval N K.. |
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eval ((S N) - (S M)) K :- eval (N- M) K.. |
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eval ( Z * M) Z.. |
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eval ((S N) * M) K :- eval (N * M) L & eval (L + M) K" |
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end |