عنوان

Semantical Investigations in Heyting's Intuitionistic Logic

شابک

9048183626

شابک

9401729778

شابک

9789048183623

شابک

9789401729772

شماره

b592097

عنوان اصلي

Semantical Investigations in Heyting's Intuitionistic Logic

نام عام مواد

[Book]

نام نخستين پديدآور

by Dov M. Gabbay.

محل نشرو پخش و غیره

Dordrecht

نام ناشر، پخش کننده و غيره

Springer Netherlands : Imprint : Springer

تاریخ نشرو بخش و غیره

1981

عنوان فروست

Synthese library, 148.

متن يادداشت

Logical Systems and Semantics --; Introducing HPC --; The Kripke, Beth and Topological Interpretations for HPC --; Heyting's Propositional Calculus and Extensions --; Three Intermediate Logics --; Formulas in One Variable --; Propositional Connectives --; The Interpolation Theorem --; Second Order Propositional Calculus --; Modified Kripke Interpretation --; Theories in HPC 1 --; Theories in HPC 2 --; Completeness of HPC with Respect to RE and Post Structures --; Undecidability Results --; Decidability Results.

متن يادداشت

From the point of view of non-classical logics, Heyting's implication is the smallest implication for which the deduction theorem holds. This book studies properties of logical systems having some of the classical connectives and implication in the neighbourhood of Heyt ing's implication. I have not included anything on entailment, al though it belongs to this neighbourhood, mainly because of the appearance of the Anderson-Belnap book on entailment. In the later chapters of this book, I have included material that might be of interest to the intuitionist mathematician. Originally, I intended to include more material in that spirit but I decided against it. There is no coherent body of material to include that builds naturally on the present book. There are some serious results on topological models, second order Beth and Kripke models, theories of types, etc., but it would require further research to be able to present a general theory, possibly using sheaves. That would have postponed pUblication for too long. I would like to dedicate this book to my colleagues, Professors G. Kreisel, M.O. Rabin and D. Scott. I have benefited greatly from Professor Kreisel's criticism and suggestions. Professor Rabin's fun damental results on decidability and undecidability provided the powerful tools used in obtaining the majority of the results reported in this book. Professor Scott's approach to non-classical logics and especially his analysis of the Scott consequence relation makes it possible to present Heyting's logic as a beautiful, integral part of non-classical logics.

موضوع مستند نشده

Logic.

موضوع مستند نشده

Philosophy (General)

موضوع مستند نشده

Semantics.

مستند نام اشخاص تاييد نشده

by Dov M. Gabbay.

مستند نام اشخاص تاييد نشده

Dov M Gabbay

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y