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» The Proof Complexity of Polynomial Identities
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COCO
2009
Springer
117views Algorithms» more  COCO 2009»
14 years 5 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
DCG
2006
68views more  DCG 2006»
13 years 11 months ago
The Stirling Polynomial of a Simplicial Complex
We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an app...
Gábor Hetyei
STACS
2009
Springer
14 years 5 months ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay
CORR
2007
Springer
70views Education» more  CORR 2007»
13 years 10 months ago
On the Proof Complexity of Deep Inference
We obtain two results about the proof complexity of deep inference: 1) deep-inference proof systems are as powerful as Frege ones, even when both are extended with the Tseitin exte...
Paola Bruscoli, Alessio Guglielmi
ECCC
2010
90views more  ECCC 2010»
13 years 11 months ago
A note on circuit lower bounds from derandomization
We present an alternate proof of the result by Kabanets and Impagliazzo that derandomizing polynomial identity testing implies circuit lower bounds. Our proof is simpler, scales b...
Scott Aaronson, Dieter van Melkebeek