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» Algebraic Methods for Interactive Proof Systems
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FOCS
2009
IEEE
14 years 2 months ago
Two-Message Quantum Interactive Proofs Are in PSPACE
We prove that QIP(2), the class of problems having two-message quantum interactive proof systems, is a subset of PSPACE. This relationship is obtained by means of an efficient pa...
Rahul Jain, Sarvagya Upadhyay, John Watrous
ENTCS
2007
98views more  ENTCS 2007»
13 years 7 months ago
A Completeness Proof for Bisimulation in the pi-calculus Using Isabelle
We use the interactive theorem prover Isabelle to prove that the algebraic axiomatization of bisimulation equivalence in the pi-calculus is sound and complete. This is the first ...
Jesper Bengtson, Joachim Parrow
CADE
2007
Springer
14 years 8 months ago
Automated Reasoning in Kleene Algebra
Abstract. It has often been claimed that model checking, special purpose automated deduction or interactive theorem proving are needed for formal program development. Recently, it ...
Georg Struth, Peter Höfner
ICFP
2009
ACM
14 years 8 months ago
Effective interactive proofs for higher-order imperative programs
We present a new approach for constructing and verifying higherorder, imperative programs using the Coq proof assistant. We build on the past work on the Ynot system, which is bas...
Adam J. Chlipala, J. Gregory Malecha, Greg Morrise...
ISSAC
2005
Springer
125views Mathematics» more  ISSAC 2005»
14 years 1 months ago
Generalized normal forms and polynomial system solving
This paper describes a new method for computing the normal form of a polynomial modulo a zero-dimensional ideal I. We give a detailed description of the algorithm, a proof of its ...
Bernard Mourrain