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» Nominal Equational Logic
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JSYML
2008
66views more  JSYML 2008»
13 years 7 months ago
Flat algebras and the translation of universal Horn logic to equational logic
We describe which subdirectly irreducible flat algebras arise in the variety generated by an arbitrary class of flat algebras with absorbing bottom element. This is used to give an...
Marcel Jackson
FOSSACS
2006
Springer
13 years 11 months ago
Presenting Functors by Operations and Equations
We take the point of view that, if transition systems are coalgebras for a functor T, then an adequate logic for these transition systems should arise from the `Stone dual' L ...
Marcello M. Bonsangue, Alexander Kurz
CADE
2010
Springer
13 years 8 months ago
Global Caching for Coalgebraic Description Logics
Coalgebraic description logics offer a common semantic umbrella for extensions of description logics with reasoning principles outside relational semantics, e.g. quantitative uncer...
Rajeev Goré, Clemens Kupke, Dirk Pattinson,...
ICLP
2001
Springer
13 years 12 months ago
Alternating Fixed Points in Boolean Equation Systems as Preferred Stable Models
We formally characterize alternating fixed points of boolean equation systems as models of (propositional) normal logic programs. To this end, we introduce the notion of a preferr...
K. Narayan Kumar, C. R. Ramakrishnan, Scott A. Smo...
DLOG
2010
13 years 5 months ago
Optimizing Algebraic Tableau Reasoning for SHOQ: First Experimental Results
In this paper we outline an algebraic tableau algorithm for the DL SHOQ, which supports more informed reasoning due to the use of semantic partitioning and integer programming. We ...
Jocelyne Faddoul, Volker Haarslev