arXiv:2601. 20735v2 Announce Type: replace Abstract: We develop a computational approach to Metric Answer Set Programming (ASP) to allow for expressing quantitative temporal constraints, like durations and deadlines.
By Arvid Becker, Pedro Cabalar, Martin Di\'eguez, Susana Hahn, Javier Romero, Torsten Schaub
arXiv:2607. 21201v1 Announce Type: new Abstract: While the integration of linear constraints has significantly expanded the reach of Answer Set Programming (ASP), existing hybrid solvers often rely on disparate semantic underpinnings that lack a unified logical foundation.
By Pedro Cabalar (University of A Corunna, Spain), Jorge Fandinno (University of Nebraska at Omaha, USA), Nicolas R\"uhling (University of Potsdam, Germany), Torsten Schaub (University of Potsdam, Germany,Potassco Solutions, Germany), Sebastian Schellhorn (University of Potsdam, Germany), Philipp Wanko (University of Potsdam, Germany,Potassco Solutions, Germany)
arXiv:2607. 13344v1 Announce Type: new Abstract: Constraint Answer Set Programming (CASP) is a hybrid reasoning paradigm that combines Answer Set Programming (ASP) with Constraint Processing and Satisfiability Modulo Theories (SMT), enabling powerful declarative encodings of complex combinatorial search problems.
By Yuliya Lierler
arXiv:2607. 18357v1 Announce Type: cross Abstract: Large language models now write a growing share of the world's code, increasingly inside agents and serving systems that compile, execute, or dispatch generated code without line-by-line review.
By Shuoming Zhang, Ruiyuan Xu, Haofeng Li, Qiuchu Yu, Yangyu Zhang, Chunwei Xia, Xiaobing Feng, Chenxi Wang, Huimin Cui, Jiacheng Zhao
In Description Logics (DLs), reasoning under Rational Closure (RC) is a well-known and widely accepted non-monotonic formalism to handle defeasible knowledge. In this paper, we study the application of RC to the core and horn variants of the DL-Lite family of lightweight description logics.
arXiv:2606. 24279v1 Announce Type: new Abstract: In Description Logics (DLs), reasoning under Rational Closure (RC) is a well-known and widely accepted non-monotonic formalism to handle defeasible knowledge.
By Giovanni Casini (CNR - ISTI, University of Cape Town), Umberto Straccia (CNR - ISTI)