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JSYML
2010
120views more  JSYML 2010»
13 years 2 months ago
First order properties on nowhere dense structures
A set A of vertices of a graph G is called d-scattered in G if no two d-neighborhoods of (distinct) vertices of A intersect. In other words, A is d-scattered if no two distinct ver...
Jaroslav Nesetril, Patrice Ossona de Mendez
AIML
2004
13 years 9 months ago
Complexity of Strict Implication
abstract. The aim of the present paper is to analyze the complexity of strict implication (together with falsum, conjunction and disjunction). We prove that Ladner's Theorem r...
Félix Bou
ACL2
2006
ACM
14 years 1 months ago
Reasoning about ACL2 file input
We introduce the logical story behind file input in ACL2 and discuss the types of theorems that can be proven about filereading operations. We develop a low level library for re...
Jared Davis
JAR
2002
83views more  JAR 2002»
13 years 7 months ago
Mathematical Programming Embeddings of Logic
Abstract. Can theorem proving in mathematical logic be addressed by classical mathematical techniques like the calculus of variations? The answer is surprisingly in the affirmative...
Vivek S. Borkar, Vijay Chandru, Sanjoy K. Mitter
DM
2011
238views Education» more  DM 2011»
13 years 2 months ago
A combinatorial approach to height sequences in finite partially ordered sets
Fix an element x of a finite partially ordered set P on n elements. Then let hi(x) be the number of linear extensions of P in which x is in position i, counting from the bottom. T...
Csaba Biró, William T. Trotter