Author:
ALVIANO MARIO,PEÑALOZA RAFAEL
Abstract
AbstractFuzzy answer set programming (FASP) combines two declarative frameworks, answer set programming and fuzzy logic, in order to model reasoning by default over imprecise information. Several connectives are available to combine different expressions; in particular the Gödel and Łukasiewicz fuzzy connectives are usually considered, due to their properties. Although the Gödel conjunction can be easily eliminated from rule heads, we show through complexity arguments that such a simplification is infeasible in general for all other connectives. The paper analyzes a translation of FASP programs into satisfiability modulo theories (SMT), which in general produces quantified formulas because of the minimality of the semantics. Structural properties of many FASP programs allow to eliminate the quantification, or to sensibly reduce the number of quantified variables. Indeed, integrality constraints can replace recursive rules commonly used to force Boolean interpretations, and completion subformulas can guarantee minimality for acyclic programs with atomic heads. Moreover, head cycle free rules can be replaced by shifted subprograms, whose structure depends on the eliminated head connective, so that ordered completion may replace the minimality check if also Łukasiewicz disjunction in rule bodies is acyclic. The paper also presents and evaluates a prototype system implementing these translations.
Publisher
Cambridge University Press (CUP)
Subject
Artificial Intelligence,Computational Theory and Mathematics,Hardware and Architecture,Theoretical Computer Science,Software
Reference33 articles.
1. Alviano M. , Calimeri F. , Charwat G. , Dao-Tran M. , Dodaro C. , Ianni G. , Krennwallner T. , Kronegger M. , Oetsch J. , Pfandler A. , Pührer J. , Redl C. , Ricca F. , Schneider P. , Schwengerer M. , Spendier L. K. , Wallner J. P. and Xiao G. 2013. The fourth answer set programming competition: Preliminary report. In LPNMR, P. Cabalar and T. C. Son , Eds. LNCS. 42–53.
2. Calimeri F. , Gebser M. , Maratea M. and Ricca F. 2014. The design of the fifth answer set programming competition. CoRR abs/1405.3710.
3. WASP: A Native ASP Solver Based on Constraint Learning
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献