TY  - GEN
A1  - Aguado, Felicidad
A1  - Cabalar, Pedro
A1  - Fandinno, Jorge
A1  - Pearce, David
A1  - Perez, Gilberto
A1  - Vidal, Concepcion
T1  - Revisiting explicit negation in answer set programming
T2  - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe
N2  - A common feature in Answer Set Programming is the use of a second negation, stronger than default negation and sometimes called explicit, strong or classical negation. This explicit negation is normally used in front of atoms, rather than allowing its use as a regular operator. In this paper we consider the arbitrary combination of explicit negation with nested expressions, as those defined by Lifschitz, Tang and Turner. We extend the concept of reduct for this new syntax and then prove that it can be captured by an extension of Equilibrium Logic with this second negation. We study some properties of this variant and compare to the already known combination of Equilibrium Logic with Nelson's strong negation.
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1104 
KW  - Answer Set Programming
KW  - non-monotonic reasoning
KW  - Equilibrium logic
KW  - explicit negation
Y1  - 2021
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/46969
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus4-469697
SN  - 1866-8372
IS  - 1104
SP  - 908
EP  - 924
ER  -