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ECCC
2006
41views more  ECCC 2006»
14 years 10 months ago
On a syntactic approximation to logics that capture complexity classes
We formulate a formal syntax of approximate formulas for the logic with counting quantifiers, SOLP, studied by us in [1], where we showed the following facts: (i) In the presence ...
Argimiro Arratia, Carlos E. Ortiz
ECAI
1992
Springer
15 years 2 months ago
On the Impact of Stratification on the Complexity of Nonmonotonic Reasoning
ABSTRACT. This paper investigates the problem of finding subclasses of nonmonotonic reasoning which can be implemented efficiently. The ability to "define" propositions u...
Ilkka Niemelä, Jussi Rintanen
TIME
2005
IEEE
15 years 3 months ago
Search Strategies for Resolution in CTL-Type Logics: Extension and Complexity
A clausal resolution approach originally developed for the branching logic CTL has recently been extended to the logics ECTL and ECTL+ . In the application of the resolution rules...
Artie Basukoski, Alexander Bolotov
CSL
2008
Springer
14 years 12 months ago
The Descriptive Complexity of Parity Games
We study the logical definablity of the winning regions of parity games. For games with a bounded number of priorities, it is wellknown that the winning regions are definable in th...
Anuj Dawar, Erich Grädel
CORR
2010
Springer
141views Education» more  CORR 2010»
14 years 10 months ago
The complexity of linear-time temporal logic over the class of ordinals
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 by Kamp's theore...
Stéphane Demri, Alexander Rabinovich