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» Algebraic Proofs over Noncommutative Formulas
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TAMC
2010
Springer
13 years 9 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
COCO
2005
Springer
128views Algorithms» more  COCO 2005»
13 years 10 months ago
More on Noncommutative Polynomial Identity Testing
We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...
Andrej Bogdanov, Hoeteck Wee
CORR
2008
Springer
132views Education» more  CORR 2008»
13 years 4 months ago
Trading GRH for algebra: algorithms for factoring polynomials and related structures
Abstract. In this paper we develop a general technique to eliminate the assumption of the Generalized Riemann Hypothesis (GRH) from various deterministic polynomial factoring algor...
Gábor Ivanyos, Marek Karpinski, Lajos R&oac...
AMAST
2010
Springer
12 years 11 months ago
Matching Logic: An Alternative to Hoare/Floyd Logic
Abstract. This paper introduces matching logic, a novel framework for defining axiomatic semantics for programming languages, inspired from operational semantics. Matching logic sp...
Grigore Rosu, Chucky Ellison, Wolfram Schulte
FSTTCS
2009
Springer
13 years 11 months ago
Arithmetic Circuits and the Hadamard Product of Polynomials
Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also...
Vikraman Arvind, Pushkar S. Joglekar, Srikanth Sri...