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» A TLA Proof System
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FOCS
1990
IEEE
14 years 2 months ago
Algebraic Methods for Interactive Proof Systems
A new algebraic technique for the construction of interactive proof systems is presented. Our technique is used to prove that every language in the polynomial-time hierarchy has an...
Carsten Lund, Lance Fortnow, Howard J. Karloff, No...
ECCC
2010
82views more  ECCC 2010»
13 years 10 months ago
On optimal proof systems and logics for PTIME
We prove that TAUT has a p-optimal proof system if and only if a logic related to least fixed-point logic captures polynomial time on all finite structures. Furthermore, we show t...
Yijia Chen, Jörg Flum
IANDC
2000
70views more  IANDC 2000»
13 years 10 months ago
A Uniform Procedure for Converting Matrix Proofs into Sequent-Style Systems
Abstract. We present a uniform algorithm for transforming machine-found matrix proofs in classical, constructive, and modal logics into sequent proofs. It is based on unified repre...
Christoph Kreitz, Stephan Schmitt
FOCS
1999
IEEE
14 years 2 months ago
PSPACE Has Constant-Round Quantum Interactive Proof Systems
In this paper we introduce quantum interactive proof systems, which are interactive proof systems in which the prover and verifier may perform quantum computations and exchange qu...
John Watrous
COCO
2003
Springer
102views Algorithms» more  COCO 2003»
14 years 3 months ago
Memoization and DPLL: Formula Caching Proof Systems
A fruitful connection between algorithm design and proof complexity is the formalization of the ¤¦¥¨§©§ approach to satisfiability testing in terms of tree-like resolution...
Paul Beame, Russell Impagliazzo, Toniann Pitassi, ...