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ICALP
2010
Springer
14 years 1 months ago
On p-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 ...
Yijia Chen, Jörg Flum
LATA
2009
Springer
14 years 3 months ago
Nondeterministic Instance Complexity and Proof Systems with Advice
Abstract. Motivated by strong Karp-Lipton collapse results in bounded arithmetic, Cook and Kraj´ıˇcek [7] have recently introduced the notion of propositional proof systems with...
Olaf Beyersdorff, Johannes Köbler, Sebastian ...
COCO
2007
Springer
109views Algorithms» more  COCO 2007»
14 years 3 months ago
Perfect Parallel Repetition Theorem for Quantum XOR Proof Systems
We consider a class of two-prover interactive proof systems where each prover returns a single bit to the verifier and the verifier’s verdict is a function of the XOR of the tw...
Richard Cleve, William Slofstra, Falk Unger, Sarva...
ISAAC
2003
Springer
91views Algorithms» more  ISAAC 2003»
14 years 2 months ago
Quantum Merlin-Arthur Proof Systems: Are Multiple Merlins More Helpful to Arthur?
This paper introduces quantum “multiple-Merlin”-Arthur proof systems in which Arthur receives multiple quantum proofs that are unentangled with each other. Although classical ...
Hirotada Kobayashi, Keiji Matsumoto, Tomoyuki Yama...
MICS
2008
129views more  MICS 2008»
13 years 8 months ago
ATP-based Cross-Verification of Mizar Proofs: Method, Systems, and First Experiments
Mizar is a proof assistant used for formalization and mechanical verification of mathematics. The main use of Mizar is in the development of the Mizar Mathematical Library (MML), i...
Josef Urban, Geoff Sutcliffe