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» Proof Complexity of Non-classical Logics
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DAM
2007
83views more  DAM 2007»
13 years 10 months ago
The proof theoretic strength of the Steinitz exchange theorem
We show that the logical theory QLA proves the Cayley–Hamilton theorem from the Steinitz exchange theorem together with a strengthening of the linear independence principle. Sin...
Michael Soltys
CSL
2005
Springer
14 years 4 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
LICS
1999
IEEE
14 years 3 months ago
Some Decision Problems of Enormous Complexity
We present some new decision and comparison problems of unusually high computational complexity. Most of the problems are strictly combinatorial in nature; others involve basic lo...
Harvey Friedman
CORR
2010
Springer
119views Education» more  CORR 2010»
13 years 9 months ago
Computational Complexity of Avalanches in the Kadanoff two-dimensional Sandpile Model
In this paper we prove that the avalanche problem for the Kadanoff sandpile model (KSPM) is P-complete for two-dimensions. Our proof is based on a reduction from the monotone circ...
Eric Goles Chacc, Bruno Martin
CORR
2008
Springer
90views Education» more  CORR 2008»
13 years 11 months ago
Effective Complexity and its Relation to Logical Depth
Abstract--Effective complexity measures the information content of the regularities of an object. It has been introduced by M. Gell-Mann and S. Lloyd to avoid some of the disadvant...
Nihat Ay, Markus Mueller, Arleta Szkola