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» The Proof Complexity of Polynomial Identities
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CSL
2006
Springer
14 years 1 months ago
Logical Omniscience Via Proof Complexity
The Hintikka-style modal logic approach to knowledge has a well-known defect of logical omniscience, i.e., an unrealistic feature that an agent knows all logical consequences of he...
Sergei N. Artëmov, Roman Kuznets
STOC
2010
ACM
200views Algorithms» more  STOC 2010»
14 years 7 months ago
Hardness Amplification in Proof Complexity
We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Paul Beame, Trinh Huynh and Toniann Pitassi
ASAP
2007
IEEE
107views Hardware» more  ASAP 2007»
14 years 4 months ago
A Hardware-Oriented Method for Evaluating Complex Polynomials
A hardware-oriented method for evaluating complex polynomials by solving iteratively a system of linear equations is proposed. Its implementation uses a digit-serial iterations on...
Milos D. Ercegovac, Jean-Michel Muller
FM
2003
Springer
109views Formal Methods» more  FM 2003»
14 years 3 months ago
Certifying and Synthesizing Membership Equational Proofs
As the systems we have to specify and verify become larger and more complex, there is a mounting need to combine different tools and decision procedures to accomplish large proof ...
Grigore Rosu, Steven Eker, Patrick Lincoln, Jos&ea...
CSL
2010
Springer
13 years 11 months ago
On Slicewise Monotone Parameterized Problems and Optimal Proof Systems for TAUT
Abstract. For a reasonable sound and complete proof calculus for firstorder logic consider the problem to decide, given a sentence of firstorder logic and a natural number n, whet...
Yijia Chen, Jörg Flum