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» On the Automatizability of Polynomial Calculus
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LICS
2008
IEEE
15 years 3 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»
15 years 1 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»
14 years 9 months ago
Extending Polynomial Calculus to $k$-DNF Resolution
Nicola Galesi, Massimo Lauria
83
Voted
CORR
2006
Springer
99views Education» more  CORR 2006»
14 years 9 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
15 years 2 months 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