Semantical Investigations In Heytings Intuitionistic Logic
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Author | : Dov M. Gabbay |
Publisher | : Springer Science & Business Media |
Total Pages | : 304 |
Release | : 2013-11-11 |
Genre | : Philosophy |
ISBN | : 9401729778 |
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.
Author | : Hans Jürgen Ohlbach |
Publisher | : Springer Science & Business Media |
Total Pages | : 431 |
Release | : 2012-12-06 |
Genre | : Philosophy |
ISBN | : 9401145741 |
th This volume is dedicated to Dov Gabbay who celebrated his 50 birthday in October 1995. Dov is one of the most outstanding and most productive researchers we have ever met. He has exerted a profound influence in major fields of logic, linguistics and computer science. His contributions in the areas of logic, language and reasoning are so numerous that a comprehensive survey would already fill half of this book. Instead of summarizing his work we decided to let him speak for himself. Sitting in a car on the way to Amsterdam airport he gave an interview to Jelle Gerbrandy and Anne-Marie Mineur. This recorded conversation with him, which is included gives a deep insight into his motivations and into his view of the world, the Almighty and, of course, the role of logic. In addition, this volume contains a partially annotated bibliography of his main papers and books. The length of the bibliography and the broadness of the topics covered there speaks for itself.
Author | : |
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Total Pages | : 0 |
Release | : 1981* |
Genre | : |
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Author | : Kai Frederick Wehmeier |
Publisher | : |
Total Pages | : 111 |
Release | : 1996 |
Genre | : |
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Author | : |
Publisher | : |
Total Pages | : 406 |
Release | : 1982 |
Genre | : Automatic theorem proving |
ISBN | : |
Author | : Donald W. Loveland |
Publisher | : Springer |
Total Pages | : 416 |
Release | : 1982 |
Genre | : Automatic theorem proving |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 740 |
Release | : 1982 |
Genre | : Language and languages |
ISBN | : |
Author | : Donald W. Loveland |
Publisher | : Springer |
Total Pages | : 416 |
Release | : 1982 |
Genre | : Automatic theorem proving |
ISBN | : |
Author | : Paul Myron Anthony Linebarger |
Publisher | : DigiCat |
Total Pages | : 94 |
Release | : 2022-08-01 |
Genre | : Fiction |
ISBN | : |
DigiCat Publishing presents to you this special edition of "The Dead Lady of Clown Town" by Paul Myron Anthony Linebarger. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.
Author | : Clarence Irving Lewis |
Publisher | : |
Total Pages | : 440 |
Release | : 1918 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |