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CADE
2008
Springer
14 years 5 months ago
Linear Quantifier Elimination
Abstract. This paper presents verified quantifier elimination procedures for dense linear orders (DLO), for real and for integer linear arithmetic. The DLO procedures are new. All ...
Tobias Nipkow
IJCAI
2001
13 years 6 months ago
Computing Strongest Necessary and Weakest Sufficient Conditions of First-Order Formulas
A technique is proposed for computing the weakest sufficient (wsc) and strongest necessary (snc) conditions for formulas in an expressive fragment of first-order logic using quant...
Patrick Doherty, Witold Lukaszewicz, Andrzej Szala...
CSR
2008
Springer
13 years 5 months ago
A Triple Correspondence in Canonical Calculi: Strong Cut-Elimination, Coherence, and Non-deterministic Semantics
An (n, k)-ary quantifier is a generalized logical connective, binding k variables and connecting n formulas. Canonical systems with (n, k)-ary quantifiers form a natural class of G...
Arnon Avron, Anna Zamansky
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
AAECC
1999
Springer
82views Algorithms» more  AAECC 1999»
13 years 5 months ago
Reasoning over Networks by Symbolic Methods
Effective quantifier elimination procedures for the reals allow to solve problems that can be encoded into corresponding first-order formulas including ordering constraints. In con...
Thomas Sturm