Ebook: Quantifiers: Logics, Models and Computation: Volume One: Surveys

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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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 Lindstr?m, 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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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 Lindstr?m, 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.

Content:
Front Matter....Pages i-viii
Quantifiers, Some Problems and Ideas....Pages 1-19
Prologue....Pages 21-24
On the Model Theory of Some Generalized Quantifiers....Pages 25-62
Finite Generation Problem and n-ary Quantifiers....Pages 63-104
Games and Trees in Infinitary Logic: A Survey....Pages 105-138
Theory of Linear Order in Extended Logics....Pages 139-192
Henkin Quantifiers....Pages 193-262
Continuous Operations on Spaces of Structures....Pages 263-296
Model Theory of Topological Structures....Pages 297-312
Computable Quantifiers and Logics over Finite Structures....Pages 313-357
Quantifiers in Natural Language A Survey of Some Recent Work....Pages 359-408
Back Matter....Pages 409-424

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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 Lindstr?m, 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.

Content:
Front Matter....Pages i-viii
Quantifiers, Some Problems and Ideas....Pages 1-19
Prologue....Pages 21-24
On the Model Theory of Some Generalized Quantifiers....Pages 25-62
Finite Generation Problem and n-ary Quantifiers....Pages 63-104
Games and Trees in Infinitary Logic: A Survey....Pages 105-138
Theory of Linear Order in Extended Logics....Pages 139-192
Henkin Quantifiers....Pages 193-262
Continuous Operations on Spaces of Structures....Pages 263-296
Model Theory of Topological Structures....Pages 297-312
Computable Quantifiers and Logics over Finite Structures....Pages 313-357
Quantifiers in Natural Language A Survey of Some Recent Work....Pages 359-408
Back Matter....Pages 409-424
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