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» The Structure of First-Order Causality
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CSL
2010
Springer
13 years 7 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
ACL
1990
13 years 7 months ago
Expressing Disjunctive and Negative Feature Constraints with Classical First-Order Logic
In contrast to the "designer logic" approach, this paper shows how the attribute-value feature structures of unification grammar and constraints on them can be axiomatiz...
Mark Johnson
CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 6 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard
BSL
2005
106views more  BSL 2005»
13 years 6 months ago
Compactness and independence in non first order frameworks
This communication deals with positive model theory, a non first order model theoretic setting which preserves compactness at the cost of giving up negation. Positive model theory ...
Itay Ben-Yaacov
FSTTCS
2010
Springer
13 years 4 months ago
First-Order Logic with Reachability Predicates on Infinite Systems
This paper focuses on first-order logic (FO) extended by reachability predicates such that the expressiveness and hence decidability properties lie between FO and monadic second-o...
Stefan Schulz