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» A Discrete Farkas Lemma
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CAV
2003
Springer
108views Hardware» more  CAV 2003»
15 years 3 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»
14 years 12 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
14 years 7 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
15 years 3 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
15 years 3 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