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» Widening Integer Arithmetic
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CADE
2010
Springer
15 years 24 days 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
15 years 1 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
15 years 12 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
13 years 11 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»
14 years 11 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