Advances in Intensional Logic

✍ Scribed by Johan Van Benthem, Natasha Alechina (auth.), Maarten de Rijke (eds.)

• Publisher: Springer Netherlands
• Year: 1997
• Tongue: English
• Leaves: 298
• Series: Applied Logic Series 7
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xiv
Modal Quantification over Structured Domains....Pages 1-27
Modal Logic and Model-Theoretic Syntax....Pages 29-60
The Functional Interpretation of Modal Necessity....Pages 61-91
Logics of Schemes for First-Order Theories and Poly-Modal Propositional Logic....Pages 93-106
The Logic of Correct Description....Pages 107-135
Modal Logics of Arrows....Pages 137-171
A Full-Circle Theorem for Simple Tense Logic....Pages 173-193
Canonical Formulas for Modal and Superintuitionistic Logics: A Short Outline....Pages 195-248
The Modal Object Calculus and its Interpretation....Pages 249-279
Back Matter....Pages 281-293

✦ Subjects

Logic; Mathematical Logic and Foundations; Computational Linguistics; Artificial Intelligence (incl. Robotics)