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» The Strength of the Besicovitch-Davies Theorem
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JSC
2010
120views more  JSC 2010»
13 years 4 months ago
Theory decision by decomposition
The topic of this article is decision procedures for satisfiability modulo theories (SMT) of arbitrary quantifier-free formulæ. We propose an approach that decomposes the formu...
Maria Paola Bonacina, Mnacho Echenim
LICS
2002
IEEE
13 years 10 months ago
The Proof Complexity of Linear Algebra
We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We...
Michael Soltys, Stephen A. Cook
CADE
2008
Springer
14 years 6 months ago
A Small Framework for Proof Checking
We describe a framework with which first order theorem provers can be used for checking formal proofs. The main aim of the framework is to take as much advantage as possible from t...
Hans de Nivelle, Piotr Witkowski
CIE
2009
Springer
14 years 10 days ago
Relationship between Kanamori-McAloon Principle and Paris-Harrington Theorem
We give a combinatorial proof of a tight relationship between the Kanamori-McAloon principle and the Paris-Harrington theorem with a number-theoretic parameter function. We show th...
Gyesik Lee
JSYML
2008
78views more  JSYML 2008»
13 years 5 months ago
Hierarchies of forcing axioms I
Abstract. We prove new upper bound theorems on the consistency strengths of SPFA(), SPFA(-linked) and SPFA(+ -cc). Our results are in terms of (, )-subcompactness, which is a new l...
Itay Neeman, Ernest Schimmerling