Krynicki

Quantifiers: Logics, Models and Computation

Volume One: Surveys
Herausgegeben:Krynicki, Michal; Mostowski, M.; Szczerba, L.W.

• Gebundenes Buch

Produktbeschreibung

Quantifiers: Logics, Models and Computation is the first concentrated effort to give a systematic presentation of the main research results on the subject, since the modern concept was formulated in the late '50s and early '60s. The majority of the papers are in the nature of a handbook. All of them are self-contained, at various levels of difficulty. The Introduction surveys the main ideas and problems encountered in the logical investigation of quantifiers. The Prologue, written by Per Lindström, presents the early history of the concept of generalised quantifiers. The volume then continues with a series of papers surveying various research areas, particularly those that are of current interest. Together they provide introductions to the subject from the points of view of mathematics, linguistics, and theoretical computer science.
The present volume has been prepared in parallel with Quantifiers: Logics, Models and Computation, Volume Two. Contributions, which contains a collection of research papers on the subject in areas that are too fresh to be summarised. The two volumes are complementary.
For logicians, mathematicians, philosophers, linguists and computer scientists. Suitable as a text for advanced undergraduate and graduate specialised courses in logic.

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Produktdetails

• Synthese Library 248
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-0-7923-3448-4
• 1995
• Seitenzahl: 436
• Erscheinungstermin: 31. Mai 1995
• Englisch
• Abmessung: 235mm x 157mm x 28mm
• Gewicht: 781g
• ISBN-13: 9780792334484
• ISBN-10: 0792334485
• Artikelnr.: 23100148

Inhaltsangabe

to Volume I.- Quantifiers, Some Problems and Ideas.- Prologue.- On the Model Theory of Some Generalized Quantifiers.- Finite Generation Problem and n-ary Quantifiers.- Games and Trees in Infinitary Logic: A Survey.- Theory of Linear Order in Extended Logics.- Henkin Quantifiers.- Continuous Operations on Spaces of Structures.- Model Theory of Topological Structures.- Computable Quantifiers and Logics over Finite Structures.- Quantifiers in Natural Language: A Survey of Some Recent Work.- Index of Names.- Table of Contents to Volume II.

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Preface. Quantifiers and Inference; J. van Benthem. Operators on Branched
Quantifiers; M.A. Brown. Hilbert's Epsilon-Symbol in the Presence of
Generalized Quantifiers; X. Caicedo. Partially Ordered Connectives and
Finite Graphs; L. Hella, G. Sandu. Theories of Finitely Determined Linear
Orderings in Stationary Logics; H. Herre. Definable Second-Order
Quantifiers and Quasivarieties; A.A. Ivanov. Quantifiers Determined by
Classes of Binary Relations; M. Krynicki. Decidability Results for Classes
of Ordered Abelian Groups in Logics with Ramsey Quantifiers; W. Lenski. On
the Eliminability of the Quantifier `There Exists Uncountably Many'; Z.
Mijajlovic. Quantifiers Definable by Second Order Means; M. Mostowski.
Generalized Quantifiers in Algebra; A.G. Pinus. On Ordering of the Family
of Logics with Skolem-Löwenheim Property and Countable Compactness
Property; M. Waclawek.DAGGER. Pre-Ordered Quantifiers in Elementary
Sentences of Natural Language; M.W. Zawadowsky. Some Remarks on
Zawadowski's `Theory of Preordered Quantifiers'; M.A. Brown. Index of
Names.