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» A Discrete Farkas Lemma
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CAV
2003
Springer
108views Hardware» more  CAV 2003»
13 years 10 months ago
Linear Invariant Generation Using Non-linear Constraint Solving
Abstract. We present a new method for the generation of linear invariants which reduces the problem to a non-linear constraint solving problem. Our method, based on Farkas’ Lemma...
Michael Colón, Sriram Sankaranarayanan, Hen...
CAV
2008
Springer
161views Hardware» more  CAV 2008»
13 years 7 months ago
Constraint-Based Approach for Analysis of Hybrid Systems
Abstract. This paper presents a constraint-based technique for discovering a rich class of inductive invariants (boolean combinations of polynomial inequalities of bounded degree) ...
Sumit Gulwani, Ashish Tiwari
TGC
2010
Springer
13 years 3 months ago
Certified Result Checking for Polyhedral Analysis of Bytecode Programs
Static analysers are becoming so complex that it is crucial to ascertain the soundness of their results in a provable way. In this paper we develop a certified checker in Coq that ...
Frédéric Besson, Thomas P. Jensen, D...
COMPGEOM
2010
ACM
13 years 10 months ago
Improving the first selection lemma in R3
We present new bounds on the first selection lemma in R3 . This makes progress on the open problems of Bukh, Matoušek and Nivash [6] and Boros-Füredi [4] for the three-dimensio...
Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfra...
ASIACRYPT
2005
Springer
13 years 10 months ago
Discrete-Log-Based Signatures May Not Be Equivalent to Discrete Log
Abstract We provide evidence that the unforgeability of several discrete-log based signatures like Schnorr signatures cannot be equivalent to the discrete log problem in the standa...
Pascal Paillier, Damien Vergnaud