Titlebook: Logic, Language, Information and Computation; 15th International W Wilfrid Hodges,Ruy Queiroz Conference proceedings 2008 The Editor(s) (if

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On Characteristic Constants of Theories Defined by Kolmogorov Complexitynoted by ... We show that .. does not necessarily coincide with ..; for two arithmetical theories ., . with a ..-sentence provable in . but not in ., there is an enumeration of the Turing machines such that .. < .. and .. = ...

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0302-9743 NAI subline; containing the refereed proceedings of the 15th International Workshop on Logic, Language, Information and Computation, WoLLIC 2008, held in Edinburgh, UK, in July 2008...The 21 revised full papers presented together with the abstracts of 7 tutorials and invited lectures were carefully

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On the Descriptive Complexity of Linear Algebras attention on problems of linear algebra as a possible source of new extensions of the logic. Here, I explore the boundary of definability in . with respect to problems from linear algebra and look at suggestions on how the logic might be extended.

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Expressive Power and Decidability for Memory Logicser (in comparison with modal and hybrid logics). We will prove that in terms of expressive power, the memory logics we discuss in this paper are more expressive than orthodox modal logic, but less expressive than .. We also establish the undecidability of their satisfiability problems.

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