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» Weak Integer Quantifier Elimination Beyond the Linear Case
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CASC
2006
Springer
128views Mathematics» more  CASC 2006»
13 years 8 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
CSL
2008
Springer
13 years 6 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
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
CSL
2010
Springer
13 years 5 months ago
Ordered Sets in the Calculus of Data Structures
Our goal is to identify families of relations that are useful for reasoning about software. We describe such families using decidable quantifier-free classes of logical constraints...
Viktor Kuncak, Ruzica Piskac, Philippe Suter