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CASC
2006
Springer
128views Mathematics» more  CASC 2006»
13 years 9 months ago
New Domains for Applied Quantifier Elimination
We address various aspects of our computer algebra-based computer logic system redlog. There are numerous examples in the literature for successful applications of redlog to practi...
Thomas Sturm
CADE
2005
Springer
14 years 5 months ago
A Proof-Producing Decision Procedure for Real Arithmetic
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
Sean McLaughlin, John Harrison
LPAR
2010
Springer
13 years 3 months ago
Interpolating Quantifier-Free Presburger Arithmetic
Craig interpolation has become a key ingredient in many symbolic model checkers, serving as an approximative replacement for expensive quantifier elimination. In this paper, we foc...
Daniel Kroening, Jérôme Leroux, Phili...
CSL
2008
Springer
13 years 7 months ago
Fractional Collections with Cardinality Bounds, and Mixed Linear Arithmetic with Stars
Abstract. We present decision procedures for logical constraints involving collections such as sets, multisets, and fuzzy sets. Element membership in our collections is given by ch...
Ruzica Piskac, Viktor Kuncak
ADBIS
2004
Springer
193views Database» more  ADBIS 2004»
13 years 9 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