Sciweavers

154 search results - page 9 / 31
» Proof Complexity of Non-classical Logics
Sort
View
123
Voted
DAM
2007
83views more  DAM 2007»
15 years 3 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
130
Voted
CSL
2005
Springer
15 years 9 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
115
Voted
LICS
1999
IEEE
15 years 8 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
123
Voted
CORR
2010
Springer
119views Education» more  CORR 2010»
15 years 2 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
119
Voted
CORR
2008
Springer
90views Education» more  CORR 2008»
15 years 3 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