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FCSC
2007
133views more  FCSC 2007»
13 years 7 months ago
Mathematics mechanization and applications after thirty years
The aim of mathematics mechanization is to develop symbolic algorithms for manipulating mathematical objects, proving and discovering theorems in a mechanical way. This paper gives...
Wenjun Wu, Xiaoshan Gao
JACM
2002
163views more  JACM 2002»
13 years 7 months ago
Formal verification of standards for distance vector routing protocols
We show how to use an interactive theorem prover, HOL, together with a model checker, SPIN, to prove key properties of distance vector routing protocols. We do three case studies: ...
Karthikeyan Bhargavan, Davor Obradovic, Carl A. Gu...
ECAI
2004
Springer
13 years 11 months ago
Lakatos-Style Automated Theorem Modification
We describe a flexible approach to automated reasoning, where non-theorems can be automatically altered to produce proved results which are related to the original. This is achieve...
Simon Colton, Alison Pease
JSC
2010
120views more  JSC 2010»
13 years 6 months ago
Theory decision by decomposition
The topic of this article is decision procedures for satisfiability modulo theories (SMT) of arbitrary quantifier-free formulæ. We propose an approach that decomposes the formu...
Maria Paola Bonacina, Mnacho Echenim
CDC
2010
IEEE
118views Control Systems» more  CDC 2010»
13 years 2 months ago
Explicit solutions for root optimization of a polynomial family
Abstract-- Given a family of real or complex monic polynomials of fixed degree with one fixed affine constraint on their coefficients, consider the problem of minimizing the root r...
Vincent D. Blondel, Mert Gurbuzbalaban, Alexandre ...