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» On the Automatizability of Polynomial Calculus
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LICS
2008
IEEE
14 years 1 months ago
On the Asymptotic Nullstellensatz and Polynomial Calculus Proof Complexity
We show that the asymptotic complexity of uniformly generated (expressible in First-Order (FO) logic) propositional tautologies for the Nullstellensatz proof system (NS) as well a...
Søren Riis
STOC
1999
ACM
75views Algorithms» more  STOC 1999»
13 years 11 months ago
Linear Gaps Between Degrees for the Polynomial Calculus Modulo Distinct Primes
Samuel R. Buss, Dima Grigoriev, Russell Impagliazz...
ECCC
2007
82views more  ECCC 2007»
13 years 7 months ago
Extending Polynomial Calculus to $k$-DNF Resolution
Nicola Galesi, Massimo Lauria
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 7 months ago
An Embedding of the BSS Model of Computation in Light Affine Lambda-Calculus
This paper brings together two lines of research: implicit characterization of complexity classes by Linear Logic (LL) on the one hand, and computation over an arbitrary ring in t...
Patrick Baillot, Marco Pedicini
TAMC
2010
Springer
14 years 17 days ago
Algebraic Proofs over Noncommutative Formulas
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least ...
Iddo Tzameret