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» On the complexity of stratified logics
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KR
2010
Springer
15 years 2 months ago
On the Complexity of Axiom Pinpointing in the EL Family of Description Logics
We investigate the computational complexity of axiom pinpointing, which is the task of finding minimal subsets of a Description Logic knowledge base that have a given consequence...
Rafael Peñaloza, Baris Sertkaya
LPAR
2007
Springer
15 years 4 months ago
The Complexity of Temporal Logic with Until and Since over Ordinals
Abstract. We consider the temporal logic with since and until modalities. This temporal logic is expressively equivalent over the class of ordinals to first-order logic thanks to ...
Stéphane Demri, Alexander Rabinovich
TCS
2011
14 years 5 months ago
Realizability models and implicit complexity
New, simple, proofs of soundness (every representable function lies in a given complexity class) for Elementary Affine Logic, LFPL and Soft Affine Logic are presented. The proofs ...
Ugo Dal Lago, Martin Hofmann
ICTCS
2003
Springer
15 years 3 months ago
On the Computational Complexity of Cut-Elimination in Linear Logic
Abstract. Given two proofs in a logical system with a confluent cutelimination procedure, the cut-elimination problem (CEP) is to decide whether these proofs reduce to the same no...
Harry G. Mairson, Kazushige Terui
CSL
2009
Springer
15 years 2 months ago
Tree-Width for First Order Formulae
We introduce tree-width for first order formulae , fotw(). We show that computing fotw is fixed-parameter tractable with parameter fotw. Moreover, we show that on classes of formul...
Isolde Adler, Mark Weyer