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TPHOL
2007
IEEE
14 years 3 months ago
Source-Level Proof Reconstruction for Interactive Theorem Proving
Abstract. Interactive proof assistants should verify the proofs they receive from automatic theorem provers. Normally this proof reconstruction takes place internally, forming part...
Lawrence C. Paulson, Kong Woei Susanto
HYBRID
2004
Springer
14 years 3 months ago
Incremental Search Methods for Reachability Analysis of Continuous and Hybrid Systems
Abstract. In this paper we present algorithms and tools for fast and efficient reachability analysis, applicable to continuous and hybrid systems. Most of the work on reachability ...
Amit Bhatia, Emilio Frazzoli
STACS
2001
Springer
14 years 2 months ago
Small PCPs with Low Query Complexity
Most known constructions of probabilistically checkable proofs (PCPs) either blow up the proof size by a large polynomial, or have a high (though constant) query complexity. In thi...
Prahladh Harsha, Madhu Sudan
COCO
2004
Springer
79views Algorithms» more  COCO 2004»
14 years 3 months ago
Relativized NP Search Problems and Propositional Proof Systems
An NP search problem is the problems of finding a witness to the given NP predicate, and TFNP is the class of total NP search problems. TFNP contains a number of subclasses conta...
Josh Buresh-Oppenheim, Tsuyoshi Morioka
CORR
2008
Springer
122views Education» more  CORR 2008»
13 years 9 months ago
From formal proofs to mathematical proofs: a safe, incremental way for building in first-order decision procedures
Abstract We investigate here a new version of the Calculus of Inductive Constructions (CIC) on which the proof assistant Coq is based: the Calculus of Congruent Inductive Construct...
Frédéric Blanqui, Jean-Pierre Jouann...