Abstract. We develop a general algebraic and proof-theoretic study of substructural logics that may lack associativity, along with other structural rules. Our study extends existin...
Abstract. In answer-set programming (ASP), many notions of program equivalence have been introduced and formally analysed. A particular line of research in this direction aims at s...
In this paper, consistency is understood in the standard way, i.e. as the absence of a contradiction. The basic constructive logic BK c4 , which is adequate to this sense of consis...
Previous researchers have proposed generalizations of Horn clause logic to support negation and nondeterminism as two separate extensions. In this paper, we show that the stable m...
Abstract. The purpose of this note is to present and evaluate the options available to a researcher wishing to use logic for representation, reasoning and computation in his applic...