Stable models and circumscription

P Ferraris, J Lee, V Lifschitz - Artificial Intelligence, 2011 - Elsevier
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 …

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 …

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 …

Linear-time temporal answer set programming

F Aguado, P Cabalar, M Diéguez, G Pérez… - Theory and Practice of …, 2023 - cambridge.org
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 …

[PDF][PDF] A New Perspective on Stable Models.

P Ferraris, J Lee, V Lifschitz - IJCAI, 2007 - ijcai.org
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 …

Uniform equivalence of logic programs under the stable model semantics

T Eiter, M Fink - International Conference on Logic Programming, 2003 - Springer
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 …

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 …

Semantic forgetting in answer set programming

T Eiter, K Wang - Artificial Intelligence, 2008 - Elsevier
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 …

Simplifying logic programs under uniform and strong equivalence

T Eiter, M Fink, H Tompits, S Woltran - International Conference on Logic …, 2004 - Springer
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 …

Semantical characterizations and complexity of equivalences in answer set programming

T Eiter, M Fink, S Woltran - ACM Transactions on Computational Logic …, 2007 - dl.acm.org
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 …