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

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Book 1995ject, 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 investigation of qua

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Theory of Linear Order in Extended Logics,h the decision problem of linear orderings and the problem of weak classification by constructing subclasses of linear orderings that are in the topological sense dense with respect to the considered theories.

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Prologue,The following is a brief account, from memory, of how the concept . and the first characterizations of elementary logic were discovered.

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Henkin Quantifiers,In the paper we give a survey of all known results (as far as we have been able to determine) concerning logics with Henkin quantifiers, known also as finite partially ordered quantifiers, branching or branched quantifiers. We concentrate on logical problems, presenting philosophical and linguistic discussions of the subject only briefly.

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Computable Quantifiers and Logics over Finite Structures,We explore the notion of computable quantifiers over finite structures and use them to give a unified treatment of the theory of computable queries in databases and logics capturing complexity classes. We use this framework also to discuss generalized Ehrenfeucht—Fraïssé games and their applications to complexity theory.

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