Titlebook: Quantifiers: Logics, Models and Computation; Volume One: Surveys Michał Krynicki,Marcin Mostowski,Lesław W. Szczerb Book 1995 Springer Scie

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0166-6991 re too fresh to be summarised. The twovolumes are complementary. .For logicians, mathematicians, philosophers, linguists and computerscientists. Suitable as a t978-90-481-4539-3978-94-017-0522-6Series ISSN 0166-6991 Series E-ISSN 2542-8292

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Michał Krynicki,Marcin Mostowski,Lesław W. Szczerb

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0166-6991 on the subject, since the modern concept wasformulated in the late ‘50s and early ‘60s. The majority of the papersare in the nature of a handbook. All of them are self-contained, atvarious levels of difficulty. The Introduction surveys the main ideasand problems encountered in the logical investigat

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Games and Trees in Infinitary Logic: A Survey, Ehrenfeucht-Fraïssé games, new constructions of uncountable models, non-well-founded induction, infinitely deep languages, non-structure theorems, and stability theory. The aim of this paper is to give an overview of the underlying ideas of this reasearch together with a survey of the main results.

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Games and Trees in Infinitary Logic: A Survey,mes to measure differences between uncountable models. These differences can be expressed by sentences of the so-called infinitely deep languages. This study has ramified to purely set-theoretical problems related to properties of trees, descriptive set theory in .ω1, a detailed study of transfinite

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Theory of Linear Order in Extended Logics,ory and model theory. The present paper surveys contributions to the meta-theory and model theory of linear orderings. The framework for the considered problems is defined by logics . extending first order logic and satisfying reasonable model theoretic properties. The investigation is based on logi