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Stable model semantics

The concept of a stable model, or answer set, is used to define a declarative semantics for logic programs with negation as failure. This is one of several standard approaches to the meaning of negation in logic programming, along with program completion and the well-founded semantics. The stable model semantics is the basis of answer set programming.

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Overview

Motivation

Relation to nonmonotonic logic

Stable models

Properties of the stable model semantics

Relation to other theories of negation as failure

Strong negation

Programs with constraints

Disjunctive programs

Stable models of a set of propositional formulas

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Map overview Semantic statistics

Stable model semantics

Nodes49
Edges48
Triples86
Avg. degree1.96
Density0.040816
Components1

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Stable model semantics

Top relations

related to References · 75
Stable model semantics → AAAI'87, ACM, Answer, Artificial, Artificial Intelligence, ASSAT, BF03037169, BFb0023801, Bidoit, Cite, CiteSeerX, Clark's, Classical, Complexity, Computer Science, Computing, Consistency, Dov Gabbay, Eiter, Emden
related to Disjunctive programs · 6
Stable model semantics → Gelfond, In, Lifschitz, The, To, Traditional
related to Programs with constraints · 2
Stable model semantics → One, The
related to Relation to nonmonotonic logic · 2
Stable model semantics → Michael Gelfond, The
is a · 1
Stable model semantics → basis of answer set programming

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Important terminology

stable model displaystyle program logic set models negation programs programming atoms semantics instance reduct answer rules rule definition disjunctive propositional

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Stable model semanticsis abasis of answer set programming0.90text
Stable model semanticsrelated to Disjunctive programsIn0.60section
Stable model semanticsrelated to Disjunctive programsTraditional0.60section
Stable model semanticsrelated to Disjunctive programsTo0.60section
Stable model semanticsrelated to Disjunctive programsGelfond0.60section
Stable model semanticsrelated to Disjunctive programsLifschitz0.60section
Stable model semanticsrelated to Disjunctive programsThe0.60section
Stable model semanticsrelated to Programs with constraintsThe0.60section
Stable model semanticsrelated to Programs with constraintsOne0.60section
Stable model semanticsrelated to ReferencesLock-green0.60section
Stable model semanticsrelated to ReferencesLock-gray-alt-20.60section
Stable model semanticsrelated to ReferencesLock-red-alt-20.60section

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    Min side: 3
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