Advances in Intensional Logic

1. Front Matter

   Pages i-xiv

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2. Modal Quantification over Structured Domains

   • Johan Van Benthem, Natasha Alechina

   Pages 1-27

3. Modal Logic and Model-Theoretic Syntax

   • Patrick Blackburn, Wilfried Meyer-Viol

   Pages 29-60

4. The Functional Interpretation of Modal Necessity

   • Ruy J. G. B. De Queiroz, Dov M. Gabbay

   Pages 61-91

5. Logics of Schemes for First-Order Theories and Poly-Modal Propositional Logic

   • Vladimir V. Rybakov

   Pages 93-106

6. The Logic of Correct Description

   • Jerry Seligman

   Pages 107-135

7. Modal Logics of Arrows

   • Dimiter Vakarelov

   Pages 137-171

8. A Full-Circle Theorem for Simple Tense Logic

   • Heinrich Wansing

   Pages 173-193

9. Canonical Formulas for Modal and Superintuitionistic Logics: A Short Outline

   • Michael Zakharyaschev

   Pages 195-248

10. The Modal Object Calculus and its Interpretation

    • Edward N. Zalta

    Pages 249-279

11. Back Matter

    Pages 281-293

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Intensional logic has emerged, since the 1960' s, as a powerful theoretical and practical tool in such diverse disciplines as computer science, artificial intelligence, linguistics, philosophy and even the foundations of mathematics. The present volume is a collection of carefully chosen papers, giving the reader a taste of the frontline state of research in intensional logics today. Most papers are representative of new ideas and/or new research themes. The collection would benefit the researcher as well as the student. This book is a most welcome addition to our series. The Editors CONTENTS PREFACE IX JOHAN VAN BENTHEM AND NATASHA ALECHINA Modal Quantification over Structured Domains PATRICK BLACKBURN AND WILFRIED MEYER-VIOL Modal Logic and Model-Theoretic Syntax 29 RUY J. G. B. DE QUEIROZ AND DOV M. GABBAY The Functional Interpretation of Modal Necessity 61 VLADIMIR V. RYBAKOV Logics of Schemes for First-Order Theories and Poly-Modal Propositional Logic 93 JERRY SELIGMAN The Logic of Correct Description 107 DIMITER VAKARELOV Modal Logics of Arrows 137 HEINRICH WANSING A Full-Circle Theorem for Simple Tense Logic 173 MICHAEL ZAKHARYASCHEV Canonical Formulas for Modal and Superintuitionistic Logics: A Short Outline 195 EDWARD N. ZALTA 249 The Modal Object Calculus and its Interpretation NAME INDEX 281 SUBJECT INDEX 285 PREFACE Intensional logic has many faces. In this preface we identify some prominent ones without aiming at completeness.

• Syntax
• artificial intelligence
• intelligence
• linguistics
• logic
• modal logic
• proof theory

• Department of Computer Science, University of Warwick, Coventry, UK

  Maarten Rijke

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