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» On the Complexity of Fragments of Modal Logics
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LPAR
2007
Springer
14 years 1 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
13 years 2 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
FORMATS
2008
Springer
13 years 9 months ago
Some Recent Results in Metric Temporal Logic
Metric Temporal Logic (MTL) is a widely-studied real-time extension of Linear Temporal Logic. In this paper we survey results about the complexity of the satisfiability and model c...
Joël Ouaknine, James Worrell
CSL
2001
Springer
14 years 5 days ago
Capture Complexity by Partition
We show in this paper a special extended logic, partition logic based on so called partition quantifiers, is able to capture some important complexity classes NP, P and NL by its ...
Yijia Chen, Enshao Shen
LPAR
2010
Springer
13 years 5 months ago
On the Satisfiability of Two-Variable Logic over Data Words
Data trees and data words have been studied extensively in connection with XML reasoning. These are trees or words that, in addition to labels from a finite alphabet, carry labels ...
Claire David, Leonid Libkin, Tony Tan