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ECCC
2006
41views more  ECCC 2006»
15 years 5 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
CSL
2001
Springer
15 years 10 months 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
166
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LATIN
2004
Springer
15 years 11 months ago
Approximating the Expressive Power of Logics in Finite Models
Abstract. We present a probability logic (essentially a first order language extended with quantifiers that count the fraction of elements in a model that satisfy a first order ...
Argimiro Arratia, Carlos E. Ortiz
VMCAI
2004
Springer
15 years 11 months ago
Boolean Algebra of Shape Analysis Constraints
Shape analysis is a promising technique for statically verifying and extracting properties of programs that manipulate complex data structures. We introduce a new characterization...
Viktor Kuncak, Martin C. Rinard
CSL
2009
Springer
15 years 9 months ago
Fixed-Point Definability and Polynomial Time
My talk will be a survey of recent results about the quest for a logic capturing polynomial time. In a fundamental study of database query languages, Chandra and Harel [4] first ra...
Martin Grohe