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» Widening Integer Arithmetic
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CADE
2010
Springer
13 years 7 months ago
MUNCH - Automated Reasoner for Sets and Multisets
This system description provides an overview of the MUNCH reasoner for sets and multisets. MUNCH takes as the input a formula in a logic that supports expressions about sets, multi...
Ruzica Piskac, Viktor Kuncak
FLOPS
2008
Springer
13 years 7 months ago
Certified Exact Real Arithmetic Using Co-induction in Arbitrary Integer Base
In this paper we describe some certified algorithms for exact real arithmetic based on co-recursion. Our work is based on previous experiences using redundant digits of base 2 but ...
Nicolas Julien
CADE
2006
Springer
14 years 6 months ago
Verifying Mixed Real-Integer Quantifier Elimination
Abstract. We present a formally verified quantifier elimination procedure for the first order theory over linear mixed real-integer arithmetics in higher-order logic based on a wor...
Amine Chaieb
CADE
2011
Springer
12 years 6 months ago
Cutting to the Chase Solving Linear Integer Arithmetic
Abstract. We describe a new algorithm for solving linear integer programming problems. The algorithm performs a DPLL style search for a feasible assignment, while using a novel cut...
Dejan Jovanovic, Leonardo Mendonça de Moura
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 6 months ago
An Analysis of Arithmetic Constraints on Integer Intervals
Arithmetic constraints on integer intervals are supported in many constraint programming systems. We study here a number of approaches to implement constraint propagation for thes...
Krzysztof R. Apt, Peter Zoeteweij