Neighborhood Semantics For Modal Logic PDF Download
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| Author | : Eric Pacuit |
| Publisher | : Springer |
| Total Pages | : 165 |
| Release | : 2017-11-15 |
| Genre | : Philosophy |
| ISBN | : 3319671499 |
Download Neighborhood Semantics for Modal Logic Book in PDF, ePub and Kindle
This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic (the so-called non-normal modal logics). In addition, the book discusses a broad range of topics, including standard modal logic results (i.e., completeness, decidability and definability); bisimulations for neighborhood models and other model-theoretic constructions; comparisons with other semantics for modal logic (e.g., relational models, topological models, plausibility models); neighborhood semantics for first-order modal logic, applications in game theory (coalitional logic and game logic); applications in epistemic logic (logics of evidence and belief); and non-normal modal logics with dynamic modalities. The book can be used as the primary text for seminars on philosophical logic focused on non-normal modal logics; as a supplemental text for courses on modal logic, logic in AI, or philosophical logic (either at the undergraduate or graduate level); or as the primary source for researchers interested in learning about the uses of neighborhood semantics in philosophical logic and game theory.
| Author | : Judit Madarász |
| Publisher | : Springer Nature |
| Total Pages | : 517 |
| Release | : 2021-05-31 |
| Genre | : Philosophy |
| ISBN | : 3030641872 |
Download Hajnal Andréka and István Németi on Unity of Science Book in PDF, ePub and Kindle
This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.
| Author | : Robert Goldblatt |
| Publisher | : Cambridge University Press |
| Total Pages | : 283 |
| Release | : 2011-07-14 |
| Genre | : Mathematics |
| ISBN | : 1107010527 |
Download Quantifiers, Propositions and Identity Book in PDF, ePub and Kindle
Develops new semantical characterisations of many logical systems with quantification that are incomplete under the traditional Kripkean possible worlds interpretation. This book is for mathematical or philosophical logicians, computer scientists and linguists, including academic researchers, teachers and advanced students.
| Author | : Brian F. Chellas |
| Publisher | : Cambridge University Press |
| Total Pages | : 316 |
| Release | : 1980-02-29 |
| Genre | : Mathematics |
| ISBN | : 9780521295154 |
Download Modal Logic Book in PDF, ePub and Kindle
An introductory textbook on modal logic the logic of necessity and possibility.
| Author | : Heinrich Wansing |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 259 |
| Release | : 2013-03-14 |
| Genre | : Philosophy |
| ISBN | : 9401712808 |
Download Displaying Modal Logic Book in PDF, ePub and Kindle
The present monograph is a slightly revised version of my Habilitations schrift Proof-theoretic Aspects of Intensional and Non-Classical Logics, successfully defended at Leipzig University, November 1997. It collects work on proof systems for modal and constructive logics I have done over the last few years. The main concern is display logic, a certain refinement of Gentzen's sequent calculus developed by Nuel D. Belnap. This book is far from offering a comprehensive presentation of generalized sequent systems for modal logics broadly conceived. The proof-theory of non-classical logics is a rapidly developing field, and even the generalizations of the ordinary notion of sequent listed in Chapter 1 can hardly be presented in great detail within a single volume. In addition to further investigating the various approaches toward generalized Gentzen systems, it is important to compare them and to discuss their relative advantages and disadvantages. An initial attempt at bringing together work on different kinds of proof systems for modal logics has been made in [188]. Another step in the same direction is [196]. Since Chapter 1 contains introductory considerations and, moreover, every remaining chapter begins with some surveying or summarizing remarks, in this preface I shall only emphasize a relation to philosophy that is important to me, register the sources of papers that have entered this book in some form or another, and acknowledge advice and support.
| Author | : James W. Garson |
| Publisher | : Cambridge University Press |
| Total Pages | : 429 |
| Release | : 2006-08-14 |
| Genre | : Mathematics |
| ISBN | : 0521682290 |
Download Modal Logic for Philosophers Book in PDF, ePub and Kindle
This 2006 book provides an accessible, yet technically sound treatment of modal logic and its philosophical applications.
| Author | : M. Kracht |
| Publisher | : North Holland |
| Total Pages | : 584 |
| Release | : 1999-06-17 |
| Genre | : Computers |
| ISBN | : |
Download Tools and Techniques in Modal Logic Book in PDF, ePub and Kindle
This book treats modal logic as a theory, with several subtheories, such as completeness theory, correspondence theory, duality theory and transfer theory and is intended as a course in modal logic for students who have had prior contact with modal logic and who wish to study it more deeply. It presupposes training in mathematical or logic. Very little specific knowledge is presupposed, most results which are needed are proved in this book.
| Author | : M.J. Cresswell |
| Publisher | : Routledge |
| Total Pages | : 436 |
| Release | : 2012-08-06 |
| Genre | : Philosophy |
| ISBN | : 1134800274 |
Download A New Introduction to Modal Logic Book in PDF, ePub and Kindle
This long-awaited book replaces Hughes and Cresswell's two classic studies of modal logic: An Introduction to Modal Logic and A Companion to Modal Logic. A New Introduction to Modal Logic is an entirely new work, completely re-written by the authors. They have incorporated all the new developments that have taken place since 1968 in both modal propositional logic and modal predicate logic, without sacrificing tha clarity of exposition and approachability that were essential features of their earlier works. The book takes readers from the most basic systems of modal propositional logic right up to systems of modal predicate with identity. It covers both technical developments such as completeness and incompleteness, and finite and infinite models, and their philosophical applications, especially in the area of modal predicate logic.
| Author | : Johan Van Benthem |
| Publisher | : MIT Press |
| Total Pages | : 567 |
| Release | : 2014-01-24 |
| Genre | : Computers |
| ISBN | : 0262019906 |
Download Logic in Games Book in PDF, ePub and Kindle
A comprehensive examination of the interfaces of logic, computer science, and game theory, drawing on twenty years of research on logic and games. This book draws on ideas from philosophical logic, computational logic, multi-agent systems, and game theory to offer a comprehensive account of logic and games viewed in two complementary ways. It examines the logic of games: the development of sophisticated modern dynamic logics that model information flow, communication, and interactive structures in games. It also examines logic as games: the idea that logical activities of reasoning and many related tasks can be viewed in the form of games. In doing so, the book takes up the “intelligent interaction” of agents engaging in competitive or cooperative activities and examines the patterns of strategic behavior that arise. It develops modern logical systems that can analyze information-driven changes in players' knowledge and beliefs, and introduces the “Theory of Play” that emerges from the combination of logic and game theory. This results in a new view of logic itself as an interactive rational activity based on reasoning, perception, and communication that has particular relevance for games. Logic in Games, based on a course taught by the author at Stanford University, the University of Amsterdam, and elsewhere, can be used in advanced seminars and as a resource for researchers.
| Author | : Johan van Benthem |
| Publisher | : |
| Total Pages | : 402 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : |
Download Modal Logic for Open Minds Book in PDF, ePub and Kindle
In this work, the author provides an introduction to the field of modal logic, outlining its major ideas and emploring the numerous ways in which various academic fields have adopted it.
