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JSYML
2006
91views more  JSYML 2006»
13 years 9 months ago
On the Herbrand notion of consistency for finitely axiomatizable fragments of bounded arithmetic theories
Modifying the methods of Z. Adamowicz's paper Herbrand consistency and bounded arithmetic (Fund. Math. 171 (2002)), we show that there exists a number n such that m Sm (the u...
Leszek Aleksander Kolodziejczyk
SIAMDM
2008
97views more  SIAMDM 2008»
13 years 9 months ago
Disjoint Color-Avoiding Triangles
A set of pairwise edge-disjoint triangles of an edge-colored Kn is r-color avoiding if it does not contain r monochromatic triangles, each having a different color. Let fr(n) be th...
Raphael Yuster
SAC
2006
ACM
13 years 9 months ago
Assisted verification of elementary functions using Gappa
The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
COMBINATORICS
2004
129views more  COMBINATORICS 2004»
13 years 8 months ago
Operations on Well-Covered Graphs and the Roller-Coaster Conjecture
A graph G is well-covered if every maximal independent set has the same cardinality. Let sk denote the number of independent sets of cardinality k, and define the independence pol...
Philip Matchett
ICSE
2007
IEEE-ACM
14 years 3 months ago
ACL2s: "The ACL2 Sedan"
ACL2 is the latest inception of the Boyer-Moore theorem prover, the 2005 recipient of the ACM Software System Award. In the hands of an expert, it feels like a finely tuned race ...
Peter C. Dillinger, Panagiotis Manolios, Daron Vro...