Stable models and circumscription
The concept of a stable model provided a declarative semantics for Prolog programs with
negation as failure and became a starting point for the development of answer set …
negation as failure and became a starting point for the development of answer set …
Equilibrium logic
D Pearce - Annals of Mathematics and Artificial Intelligence, 2006 - Springer
Equilibrium logic is a general purpose nonmonotonic reasoning formalism closely aligned
with answer set programming (ASP). In particular it provides a logical foundation for ASP as …
with answer set programming (ASP). In particular it provides a logical foundation for ASP as …
Strong equivalence made easy: nested expressions and weight constraints
H Turner - Theory and Practice of Logic Programming, 2003 - cambridge.org
Logic programs and are strongly equivalent if, given any program $ P\cup RQ\cup R $ are
equivalent (that is, have the same answer sets). Strong equivalence is convenient for the …
equivalent (that is, have the same answer sets). Strong equivalence is convenient for the …
Linear-time temporal answer set programming
In this survey, we present an overview on (Modal) Temporal Logic Programming in view of
its application to Knowledge Representation and Declarative Problem Solving. The syntax of …
its application to Knowledge Representation and Declarative Problem Solving. The syntax of …
[PDF][PDF] A New Perspective on Stable Models.
The definition of a stable model has provided a declarative semantics for Prolog programs
with negation as failure and has led to the development of answer set programming. In this …
with negation as failure and has led to the development of answer set programming. In this …
Uniform equivalence of logic programs under the stable model semantics
In recent research on nonmonotonic logic programming, repeatedly strong equivalence of
logic programs P and Q has been considered, which holds if the programs P∪ R and Q∪ R …
logic programs P and Q has been considered, which holds if the programs P∪ R and Q∪ R …
On dynamics in structured argumentation formalisms
A Rapberger, M Ulbricht - Journal of Artificial Intelligence Research, 2023 - jair.org
This paper is a contribution to the research on dynamics in assumption-based
argumentation (ABA). We investigate situations where a given knowledge base undergoes …
argumentation (ABA). We investigate situations where a given knowledge base undergoes …
Semantic forgetting in answer set programming
The notion of forgetting, also known as variable elimination, has been investigated
extensively in the context of classical logic, but less so in (nonmonotonic) logic programming …
extensively in the context of classical logic, but less so in (nonmonotonic) logic programming …
Simplifying logic programs under uniform and strong equivalence
We consider the simplification of logic programs under the stable-model semantics, with
respect to the notions of strong and uniform equivalence between logic programs …
respect to the notions of strong and uniform equivalence between logic programs …
Semantical characterizations and complexity of equivalences in answer set programming
In recent research on nonmonotonic logic programming, repeatedly strong equivalence of
logic programs P and Q has been considered, which holds if the programs P∪ R and Q∪ R …
logic programs P and Q has been considered, which holds if the programs P∪ R and Q∪ R …