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LICS
2000
IEEE
15 years 1 months ago
The Role of Decidability in First Order Separations over Classes of Finite Structures
We establish that the decidability of the first order theory of a class of finite structures ¢ is a simple and useful condition for guaranteeing that the expressive power of FO...
Steven Lindell, Scott Weinstein
LATIN
2004
Springer
15 years 2 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
ICALP
2005
Springer
15 years 2 months ago
Preservation Under Extensions on Well-Behaved Finite Structures
A class of relational structures is said to have the extension preservation property if every first-order sentence that is preserved under extensions on the class is equivalent t...
Albert Atserias, Anuj Dawar, Martin Grohe
CSL
2007
Springer
15 years 3 months ago
The Power of Counting Logics on Restricted Classes of Finite Structures
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
Anuj Dawar, David Richerby