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LICS
2000
IEEE
13 years 9 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
13 years 10 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
13 years 10 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
13 years 11 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