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APAL
1999
120views more  APAL 1999»
13 years 4 months ago
Bounded Arithmetic, Proof Complexity and Two Papers of Parikh
This article surveys R. Parikh's work on feasibility, bounded arithmetic and the complexity of proofs. We discuss in depth two of Parikh's papers on these subjects and s...
Samuel R. Buss
CIE
2006
Springer
13 years 8 months ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek
AML
2011
204views Mathematics» more  AML 2011»
12 years 11 months ago
A note on propositional proof complexity of some Ramsey-type statements
Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
Jan Krajícek
COCO
2009
Springer
117views Algorithms» more  COCO 2009»
13 years 11 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
ARITH
2005
IEEE
13 years 10 months ago
Guaranteed Proofs Using Interval Arithmetic
This paper presents a set of tools for mechanical reasoning of numerical bounds using interval arithmetic. The tools implement two techniques for reducing decorrelation: interval ...
Marc Daumas, Guillaume Melquiond, César Mu&...