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Quelle Model.sig
Sprache: unbekannt
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(* ========================================================================= *)
(* RANDOM FINITE MODELS *)
(* Copyright (c) 2003 Joe Leslie-Hurd, distributed under the BSD License *)
(* ========================================================================= *)
signature Model =
sig
(* ------------------------------------------------------------------------- *)
(* Model size. *)
(* ------------------------------------------------------------------------- *)
type size = {size : int}
(* ------------------------------------------------------------------------- *)
(* A model of size N has integer elements 0...N-1. *)
(* ------------------------------------------------------------------------- *)
type element = int
val zeroElement : element
val incrementElement : size -> element -> element option
(* ------------------------------------------------------------------------- *)
(* The parts of the model that are fixed. *)
(* ------------------------------------------------------------------------- *)
type fixedFunction = size -> element list -> element option
type fixedRelation = size -> element list -> bool option
datatype fixed =
Fixed of
{functions : fixedFunction NameArityMap.map,
relations : fixedRelation NameArityMap.map}
val emptyFixed : fixed
val unionFixed : fixed -> fixed -> fixed
val getFunctionFixed : fixed -> NameArity.nameArity -> fixedFunction
val getRelationFixed : fixed -> NameArity.nameArity -> fixedRelation
val insertFunctionFixed : fixed -> NameArity.nameArity * fixedFunction -> fixed
val insertRelationFixed : fixed -> NameArity.nameArity * fixedRelation -> fixed
val unionListFixed : fixed list -> fixed
val basicFixed : fixed (* interprets equality and hasType *)
(* ------------------------------------------------------------------------- *)
(* Renaming fixed model parts. *)
(* ------------------------------------------------------------------------- *)
type fixedMap =
{functionMap : Name.name NameArityMap.map,
relationMap : Name.name NameArityMap.map}
val mapFixed : fixedMap -> fixed -> fixed
val ppFixedMap : fixedMap Print.pp
(* ------------------------------------------------------------------------- *)
(* Standard fixed model parts. *)
(* ------------------------------------------------------------------------- *)
(* Projections *)
val projectionMin : int
val projectionMax : int
val projectionName : int -> Name.name
val projectionFixed : fixed
(* Arithmetic *)
val numeralMin : int
val numeralMax : int
val numeralName : int -> Name.name
val addName : Name.name
val divName : Name.name
val dividesName : Name.name
val evenName : Name.name
val expName : Name.name
val geName : Name.name
val gtName : Name.name
val isZeroName : Name.name
val leName : Name.name
val ltName : Name.name
val modName : Name.name
val multName : Name.name
val negName : Name.name
val oddName : Name.name
val preName : Name.name
val subName : Name.name
val sucName : Name.name
val modularFixed : fixed
val overflowFixed : fixed
(* Sets *)
val cardName : Name.name
val complementName : Name.name
val differenceName : Name.name
val emptyName : Name.name
val memberName : Name.name
val insertName : Name.name
val intersectName : Name.name
val singletonName : Name.name
val subsetName : Name.name
val symmetricDifferenceName : Name.name
val unionName : Name.name
val universeName : Name.name
val setFixed : fixed
(* Lists *)
val appendName : Name.name
val consName : Name.name
val lengthName : Name.name
val nilName : Name.name
val nullName : Name.name
val tailName : Name.name
val listFixed : fixed
(* ------------------------------------------------------------------------- *)
(* Valuations. *)
(* ------------------------------------------------------------------------- *)
type valuation
val emptyValuation : valuation
val zeroValuation : NameSet.set -> valuation
val constantValuation : element -> NameSet.set -> valuation
val peekValuation : valuation -> Name.name -> element option
val getValuation : valuation -> Name.name -> element
val insertValuation : valuation -> Name.name * element -> valuation
val randomValuation : {size : int} -> NameSet.set -> valuation
val incrementValuation :
{size : int} -> NameSet.set -> valuation -> valuation option
val foldValuation :
{size : int} -> NameSet.set -> (valuation * 'a -> 'a) -> 'a -> 'a
(* ------------------------------------------------------------------------- *)
(* A type of random finite models. *)
(* ------------------------------------------------------------------------- *)
type parameters = {size : int, fixed : fixed}
type model
val default : parameters
val new : parameters -> model
val size : model -> int
(* ------------------------------------------------------------------------- *)
(* Interpreting terms and formulas in the model. *)
(* ------------------------------------------------------------------------- *)
val interpretFunction : model -> Term.functionName * element list -> element
val interpretRelation : model -> Atom.relationName * element list -> bool
val interpretTerm : model -> valuation -> Term.term -> element
val interpretAtom : model -> valuation -> Atom.atom -> bool
val interpretFormula : model -> valuation -> Formula.formula -> bool
val interpretLiteral : model -> valuation -> Literal.literal -> bool
val interpretClause : model -> valuation -> Thm.clause -> bool
(* ------------------------------------------------------------------------- *)
(* Check whether random groundings of a formula are true in the model. *)
(* Note: if it's cheaper, a systematic check will be performed instead. *)
(* ------------------------------------------------------------------------- *)
val check :
(model -> valuation -> 'a -> bool) -> {maxChecks : int option} -> model ->
NameSet.set -> 'a -> {T : int, F : int}
val checkAtom :
{maxChecks : int option} -> model -> Atom.atom -> {T : int, F : int}
val checkFormula :
{maxChecks : int option} -> model -> Formula.formula -> {T : int, F : int}
val checkLiteral :
{maxChecks : int option} -> model -> Literal.literal -> {T : int, F : int}
val checkClause :
{maxChecks : int option} -> model -> Thm.clause -> {T : int, F : int}
(* ------------------------------------------------------------------------- *)
(* Updating the model. *)
(* ------------------------------------------------------------------------- *)
val updateFunction :
model -> (Term.functionName * element list) * element -> unit
val updateRelation :
model -> (Atom.relationName * element list) * bool -> unit
(* ------------------------------------------------------------------------- *)
(* Choosing a random perturbation to make a formula true in the model. *)
(* ------------------------------------------------------------------------- *)
val perturbTerm : model -> valuation -> Term.term * element list -> unit
val perturbAtom : model -> valuation -> Atom.atom * bool -> unit
val perturbLiteral : model -> valuation -> Literal.literal -> unit
val perturbClause : model -> valuation -> Thm.clause -> unit
(* ------------------------------------------------------------------------- *)
(* Pretty printing. *)
(* ------------------------------------------------------------------------- *)
val pp : model Print.pp
end
[ Dauer der Verarbeitung: 0.4 Sekunden
(vorverarbeitet)
]
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2026-03-28
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