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BSL
2005
106views more  BSL 2005»
13 years 7 months ago
Compactness and independence in non first order frameworks
This communication deals with positive model theory, a non first order model theoretic setting which preserves compactness at the cost of giving up negation. Positive model theory ...
Itay Ben-Yaacov
BSL
2008
100views more  BSL 2008»
13 years 7 months ago
Hyperlinear and Sofic Groups: A Brief Guide
This is an introductory survey of the emerging theory of two new classes of (discrete, countable) groups, called hyperlinear and sofic groups. They can be characterized as subgroup...
Vladimir Pestov
BSL
2008
98views more  BSL 2008»
13 years 7 months ago
A Natural Axiomatization of Computability and Proof of Church's Thesis
Church's Thesis asserts that the only numeric functions that can be calculated by effective means are the recursive ones, which are the same, extensionally, as the Turingle nu...
Nachum Dershowitz, Yuri Gurevich
BSL
2006
93views more  BSL 2006»
13 years 7 months ago
What is Tarski's common concept of consequence?
Abstract. In 1936 Tarski sketched a rigorous definition of the concept of logical consequence which, he claimed, agreed quite well with common usage--or, as he also said, with the ...
Ignacio Jané
BSL
2005
70views more  BSL 2005»
13 years 7 months ago
Mass problems and randomness
A mass problem is a set of Turing oracles. If P and Q are mass problems, we say that P is weakly reducible to Q if every member of Q Turing computes a member of P. We say that P i...
Stephen G. Simpson