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DAM
2007
83views more  DAM 2007»
13 years 4 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
13 years 10 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
CAS
2004
150views more  CAS 2004»
13 years 4 months ago
Accounting for Human Activity Through Physics
Accounting for human activity through physics does not require anything more than a switch of mind. Objectivity needs first to be recognized as an epistemological principle that s...
Paul Jorion
JSYML
2007
100views more  JSYML 2007»
13 years 4 months ago
Combinatorial principles weaker than Ramsey's Theorem for pairs
We investigate the complexity of various combinatorial theorems about linear and partial orders, from the points of view of computability theory and reverse mathematics. We focus ...
Denis R. Hirschfeldt, Richard A. Shore
SMA
2009
ACM
117views Solid Modeling» more  SMA 2009»
13 years 11 months ago
Discrete physics using metrized chains
Over the last fifty years, there have been numerous efforts to develop from first principles a comprehensive discrete formulation of geometric physics, including Whitney’s ge...
Antonio DiCarlo, Franco Milicchio, Alberto Paoluzz...