| author | blanchet |
| Fri, 17 Sep 2010 01:56:19 +0200 | |
| changeset 39501 | aaa7078fff55 |
| parent 39444 | beabb8443ee4 |
| child 39502 | cffceed8e7fa |
| permissions | -rw-r--r-- |
| 39348 | 1 |
(* ========================================================================= *) |
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(* FIRST ORDER LOGIC ATOMS *) |
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39501
aaa7078fff55
updated source files with Metis 2.3 (timestamp: 16 Sept. 2010)
blanchet
parents:
39444
diff
changeset
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(* Copyright (c) 2001 Joe Hurd, distributed under the MIT license *) |
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(* ========================================================================= *) |
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signature Atom = |
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sig |
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(* ------------------------------------------------------------------------- *) |
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(* A type for storing first order logic atoms. *) |
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(* ------------------------------------------------------------------------- *) |
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type relationName = Name.name |
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type relation = relationName * int |
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type atom = relationName * Term.term list |
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(* ------------------------------------------------------------------------- *) |
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(* Constructors and destructors. *) |
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(* ------------------------------------------------------------------------- *) |
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val name : atom -> relationName |
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val arguments : atom -> Term.term list |
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val arity : atom -> int |
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val relation : atom -> relation |
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val functions : atom -> NameAritySet.set |
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val functionNames : atom -> NameSet.set |
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(* Binary relations *) |
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val mkBinop : relationName -> Term.term * Term.term -> atom |
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val destBinop : relationName -> atom -> Term.term * Term.term |
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val isBinop : relationName -> atom -> bool |
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(* ------------------------------------------------------------------------- *) |
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(* The size of an atom in symbols. *) |
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(* ------------------------------------------------------------------------- *) |
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val symbols : atom -> int |
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(* ------------------------------------------------------------------------- *) |
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(* A total comparison function for atoms. *) |
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(* ------------------------------------------------------------------------- *) |
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val compare : atom * atom -> order |
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val equal : atom -> atom -> bool |
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(* ------------------------------------------------------------------------- *) |
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(* Subterms. *) |
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(* ------------------------------------------------------------------------- *) |
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val subterm : atom -> Term.path -> Term.term |
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val subterms : atom -> (Term.path * Term.term) list |
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val replace : atom -> Term.path * Term.term -> atom |
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val find : (Term.term -> bool) -> atom -> Term.path option |
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(* ------------------------------------------------------------------------- *) |
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(* Free variables. *) |
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(* ------------------------------------------------------------------------- *) |
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val freeIn : Term.var -> atom -> bool |
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val freeVars : atom -> NameSet.set |
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(* ------------------------------------------------------------------------- *) |
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(* Substitutions. *) |
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(* ------------------------------------------------------------------------- *) |
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val subst : Subst.subst -> atom -> atom |
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(* ------------------------------------------------------------------------- *) |
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(* Matching. *) |
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(* ------------------------------------------------------------------------- *) |
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val match : Subst.subst -> atom -> atom -> Subst.subst (* raises Error *) |
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(* ------------------------------------------------------------------------- *) |
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(* Unification. *) |
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(* ------------------------------------------------------------------------- *) |
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val unify : Subst.subst -> atom -> atom -> Subst.subst (* raises Error *) |
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(* ------------------------------------------------------------------------- *) |
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(* The equality relation. *) |
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(* ------------------------------------------------------------------------- *) |
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val eqRelationName : relationName |
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val eqRelation : relation |
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val mkEq : Term.term * Term.term -> atom |
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val destEq : atom -> Term.term * Term.term |
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val isEq : atom -> bool |
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val mkRefl : Term.term -> atom |
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val destRefl : atom -> Term.term |
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val isRefl : atom -> bool |
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val sym : atom -> atom (* raises Error if given a refl *) |
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val lhs : atom -> Term.term |
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val rhs : atom -> Term.term |
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(* ------------------------------------------------------------------------- *) |
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(* Special support for terms with type annotations. *) |
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(* ------------------------------------------------------------------------- *) |
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val typedSymbols : atom -> int |
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val nonVarTypedSubterms : atom -> (Term.path * Term.term) list |
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(* ------------------------------------------------------------------------- *) |
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(* Parsing and pretty printing. *) |
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(* ------------------------------------------------------------------------- *) |
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val pp : atom Print.pp |
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val toString : atom -> string |
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val fromString : string -> atom |
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val parse : Term.term Parse.quotation -> atom |
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end |