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CADE
2005
Springer
14 years 4 months ago
The Decidability of the First-Order Theory of Knuth-Bendix Order
Two kinds of orderings are widely used in term rewriting and theorem proving, namely recursive path ordering (RPO) and Knuth-Bendix ordering (KBO). They provide powerful tools to p...
Ting Zhang, Henny B. Sipma, Zohar Manna
CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 4 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
DLOG
2009
13 years 2 months ago
On Correspondences between Probabilistic First-Order and Description Logics
Abstract This paper analyzes the probabilistic description logic PSHIQ by looking at it as a fragment of probabilistic first-order logic with semantics based on possible worlds. We...
Pavel Klinov, Bijan Parsia, Ulrike Sattler
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