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» First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
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LICS
1999
IEEE
15 years 1 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
14 years 11 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
14 years 11 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
14 years 10 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