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39348
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(* ========================================================================= *)
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(* FIRST ORDER LOGIC ATOMS *)
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39502
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(* Copyright (c) 2001 Joe Hurd, distributed under the BSD License *)
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39348
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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
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