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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
ADBIS
2004
Springer
193views Database» more  ADBIS 2004»
13 years 8 months ago
Quantifier-Elimination for the First-Order Theory of Boolean Algebras with Linear Cardinality Constraints
Abstract. We present for the first-order theory of atomic Boolean algebras of sets with linear cardinality constraints a quantifier elimination algorithm. In the case of atomic Boo...
Peter Z. Revesz
CADE
2005
Springer
14 years 5 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
VSTTE
2012
Springer
12 years 10 days ago
Deciding Functional Lists with Sublist Sets
Motivated by the problem of deciding verification conditions for the verification of functional programs, we present new decision procedures for automated reasoning about functio...
Thomas Wies, Marco Muñiz, Viktor Kuncak
CP
2000
Springer
13 years 8 months ago
Expressiveness of Full First Order Constraints in the Algebra of Finite or Infinite Trees
We are interested in the expressiveness of constraints represented by general first order formulae, with equality as unique relation symbol and function symbols taken from an infi...
Alain Colmerauer, Thi-Bich-Hanh Dao