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CORR
2006
Springer
120views Education» more  CORR 2006»
13 years 10 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»
12 years 15 days 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
13 years 5 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
14 years 3 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»
13 years 8 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