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» Logic of Proofs for Bounded Arithmetic
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79
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COCO
2009
Springer
117views Algorithms» more  COCO 2009»
15 years 6 months ago
The Proof Complexity of Polynomial Identities
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...
Pavel Hrubes, Iddo Tzameret
81
Voted
JSYML
2006
91views more  JSYML 2006»
14 years 11 months ago
On the Herbrand notion of consistency for finitely axiomatizable fragments of bounded arithmetic theories
Modifying the methods of Z. Adamowicz's paper Herbrand consistency and bounded arithmetic (Fund. Math. 171 (2002)), we show that there exists a number n such that m Sm (the u...
Leszek Aleksander Kolodziejczyk
PDPTA
2003
15 years 1 months ago
Quaternary Arithmetic Logic Unit on a Programmable Logic Device
Common binary arithmetic operations such as addition/subtraction and multiplication suffer from O(n) carry propagation delay where n is the number of digits. Carry lookahead helps...
Songpol Ongwattanakul, Phaisit Chewputtanagul, Dav...
AML
2006
106views more  AML 2006»
14 years 11 months ago
Upper bounds on complexity of Frege proofs with limited use of certain schemata
The paper considers a commonly used axiomatization of the classical propositional logic and studies how different axiom schemata in this system contribute to proof complexity of th...
Pavel Naumov
130
Voted
CORR
2007
Springer
128views Education» more  CORR 2007»
14 years 11 months ago
Verified Real Number Calculations: A Library for Interval Arithmetic
—Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a...
Marc Daumas, David Lester, César Muñ...