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» First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
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LICS
1999
IEEE
13 years 8 months ago
First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
Albert Atserias, Phokion G. Kolaitis
AAAI
2010
13 years 6 months ago
Ordered Completion for First-Order Logic Programs on Finite Structures
In this paper, we propose a translation from normal first-order logic programs under the answer set semantics to first-order theories on finite structures. Specifically, we introd...
Vernon Asuncion, Fangzhen Lin, Yan Zhang, Yi Zhou
CSCLP
2008
Springer
13 years 6 months ago
An Efficient Decision Procedure for Functional Decomposable Theories Based on Dual Constraints
Abstract. Over the last decade, first-order constraints have been efficiently used in the artificial intelligence world to model many kinds of complex problems such as: scheduling,...
Khalil Djelloul
DIMACS
1996
13 years 5 months ago
Easier Ways to Win Logical Games
in Structure'95. 14] R. Fagin. Easier ways to win logical games. In Proc. DIMACS Workshop on Descriptive Complexity and Finite Models, AMS 1997. 15] R. Fagin, L. Stockmeyer, M...
Ronald Fagin