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CORR
2006
Springer
120views Education» more  CORR 2006»
15 years 6 months ago
Termination orders for 3-dimensional rewriting
Abstract: This paper studies 3-polygraphs as a framework for rewriting on two-dimensional words. A translation of term rewriting systems into 3-polygraphs with explicit resource ma...
Yves Guiraud
STOC
2012
ACM
196views Algorithms» more  STOC 2012»
13 years 8 months ago
Time-space tradeoffs in resolution: superpolynomial lower bounds for superlinear space
We give the first time-space tradeoff lower bounds for Resolution proofs that apply to superlinear space. In particular, we show that there are formulas of size N that have Reso...
Paul Beame, Christopher Beck, Russell Impagliazzo
SIAMCOMP
2011
15 years 1 months ago
The Chow Parameters Problem
Abstract. In the 2nd Annual FOCS (1961), Chao-Kong Chow proved that every Boolean threshold function is uniquely determined by its degree-0 and degree-1 Fourier coefficients. These...
Ryan O'Donnell, Rocco A. Servedio
CSL
2005
Springer
15 years 11 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys
WDAG
2010
Springer
230views Algorithms» more  WDAG 2010»
15 years 4 months ago
Implementing Fault-Tolerant Services Using State Machines: Beyond Replication
Abstract—This paper describes a method to implement faulttolerant services in distributed systems based on the idea of fused state machines. The theory of fused state machines us...
Vijay K. Garg