TitleFinding Hard Instances of Satisfiability in Lukasiewicz Logics
Publication TypeConference Paper
Year of Publication2015
AuthorsBofill M, Manyà F, Vidal A, Villaret M
Conference Name2015 IEEE International Symposium on Multiple-Valued Logic, ISMVL 2015
PublisherIEEE Press
Conference LocationWaterloo, Canada
Date Published18/05/2015

One aspect that has been poorly studied in multiple-valued logics, and in particular in Lukasiewicz logics, is the generation of instances of varying difficulty for evaluating, comparing and improving satisfiability solvers. In this paper we present a new class of clausal forms, called Lukasiewicz (L-)clausal forms, motivate their usefulness, study their complexity, and report on an empirical investigation that shows an easy-hard-easy pattern and a phase transition phenomenon when testing the satisfiability of L-clausal forms.