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LICS
2006
IEEE
13 years 10 months ago
A Characterisation of First-Order Constraint Satisfaction Problems
Abstract. We describe simple algebraic and combinatorial characterisations of finite relational core structures admitting finitely many obstructions. As a consequence, we show th...
Benoit Larose, Cynthia Loten, Claude Tardif
CIE
2009
Springer
13 years 11 months ago
Complexity of Existential Positive First-Order Logic
Let Γ be a (not necessarily finite) structure with a finite relational signature. We prove that deciding whether a given existential positive sentence holds in Γ is in LOGSPACE...
Manuel Bodirsky, Miki Hermann, Florian Richoux
CIE
2008
Springer
13 years 4 months ago
First-Order Model Checking Problems Parameterized by the Model
We study the complexity of the model checking problem, for fixed models A, over certain fragments L of first-order logic, obtained by restricting which of the quantifiers and boole...
Barnaby Martin
AAAI
1994
13 years 6 months ago
Small is Beautiful: A Brute-Force Approach to Learning First-Order Formulas
We describe a method for learning formulas in firstorder logic using a brute-force, smallest-first search. The method is exceedingly simple. It generates all irreducible well-form...
Steven Minton, Ian Underwood
CSL
2010
Springer
13 years 6 months ago
The Complexity of Positive First-Order Logic without Equality II: The Four-Element Case
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over fixed, finite structures B. This may be seen as a natural generalisation of th...
Barnaby Martin, Jos Martin