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APAL
2010
123views more  APAL 2010»
13 years 5 months ago
Cut elimination and strong separation for substructural logics: An algebraic approach
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...
Nikolaos Galatos, Hiroakira Ono
LPNMR
2009
Springer
13 years 11 months ago
Casting Away Disjunction and Negation under a Generalisation of Strong Equivalence with Projection
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...
Jörg Pührer, Hans Tompits
JOLLI
2008
122views more  JOLLI 2008»
13 years 4 months ago
The Basic Constructive Logic for Negation-Consistency
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...
Gemma Robles
PODS
1990
ACM
148views Database» more  PODS 1990»
13 years 8 months ago
Stable Models and Non-Determinism in Logic Programs with Negation
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...
Domenico Saccà, Carlo Zaniolo
KI
1992
Springer
13 years 9 months ago
How to Construct a Logic for Your Application
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...
Dov M. Gabbay