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» The Proof Complexity of Linear Algebra
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SIAMCOMP
2002
153views more  SIAMCOMP 2002»
13 years 7 months ago
A Decision Procedure for Unitary Linear Quantum Cellular Automata
Linear quantum cellular automata were introduced recently as one of the models of quantum computing. A basic postulate of quantum mechanics imposes a strong constraint on any quan...
Christoph Dürr, Miklos Santha
FOCS
1999
IEEE
14 years 7 days ago
A Study of Proof Search Algorithms for Resolution and Polynomial Calculus
This paper is concerned with the complexity of proofs and of searching for proofs in two propositional proof systems: Resolution and Polynomial Calculus (PC). For the former syste...
Maria Luisa Bonet, Nicola Galesi
SIAMCOMP
2010
174views more  SIAMCOMP 2010»
13 years 6 months ago
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity o...
Kousha Etessami, Mihalis Yannakakis
ICALP
2007
Springer
14 years 2 months ago
Universal Algebra and Hardness Results for Constraint Satisfaction Problems
We present algebraic conditions on constraint languages Γ that ensure the hardness of the constraint satisfaction problem CSP(Γ) for complexity classes L, NL, P, NP and ModpL. Th...
Benoit Larose, Pascal Tesson
JSC
2010
96views more  JSC 2010»
13 years 6 months ago
On a generalization of Stickelberger's Theorem
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
Peter Scheiblechner