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Natural Deduction, Hybrid Systems and Modal Logics

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Release : 2010-07-03
Genre : Philosophy
Kind : eBook
Book Rating : 850/5 ( reviews)

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Book Synopsis Natural Deduction, Hybrid Systems and Modal Logics by : Andrzej Indrzejczak

Download or read book Natural Deduction, Hybrid Systems and Modal Logics written by Andrzej Indrzejczak. This book was released on 2010-07-03. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.

What Truth is

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Author :
Release : 2018
Genre : Philosophy
Kind : eBook
Book Rating : 819/5 ( reviews)

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Book Synopsis What Truth is by : Mark Jago

Download or read book What Truth is written by Mark Jago. This book was released on 2018. Available in PDF, EPUB and Kindle. Book excerpt: Mark Jago offers a new metaphysical account of truth. He argues that to be true is to be made true by the existence of a suitable worldly entity. Truth arises as a relation between a proposition - the content of our sayings, thoughts, beliefs, and so on - and an entity (or entities) in the world.

Natural Deduction

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Release : 2011-05-25
Genre : Philosophy
Kind : eBook
Book Rating : 974/5 ( reviews)

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Book Synopsis Natural Deduction by : Richard T.W. Arthur

Download or read book Natural Deduction written by Richard T.W. Arthur. This book was released on 2011-05-25. Available in PDF, EPUB and Kindle. Book excerpt: Richard Arthur’s Natural Deduction provides a wide-ranging introduction to logic. In lively and readable prose, Arthur presents a new approach to the study of logic, one that seeks to integrate methods of argument analysis developed in modern “informal logic” with natural deduction techniques. The dry bones of logic are given flesh by unusual attention to the history of the subject, from Pythagoras, the Stoics, and Indian Buddhist logic, through Lewis Carroll, Venn, and Boole, to Russell, Frege, and Monty Python.

Natural Deduction

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Release : 2006-02-24
Genre : Mathematics
Kind : eBook
Book Rating : 557/5 ( reviews)

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Book Synopsis Natural Deduction by : Dag Prawitz

Download or read book Natural Deduction written by Dag Prawitz. This book was released on 2006-02-24. Available in PDF, EPUB and Kindle. Book excerpt: An innovative approach to the semantics of logic, proof-theoretic semantics seeks the meaning of propositions and logical connectives within a system of inference. Gerhard Gentzen invented proof-theoretic semantics in the early 1930s, and Dag Prawitz, the author of this study, extended its analytic proofs to systems of natural deduction. Prawitz's theories form the basis of intuitionistic type theory, and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics. The concept of natural deduction follows a truly natural progression, establishing the relationship between a noteworthy systematization and the interpretation of logical signs. As this survey explains, the deduction's principles allow it to proceed in a direct fashion — a manner that permits every natural deduction's transformation into the equivalent of normal form theorem. A basic result in proof theory, the normal form theorem was established by Gentzen for the calculi of sequents. The proof of this result for systems of natural deduction is in many ways simpler and more illuminating than alternative methods. This study offers clear illustrations of the proof and numerous examples of its advantages.

Basic Proof Theory

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Release : 2000-07-27
Genre : Computers
Kind : eBook
Book Rating : 111/5 ( reviews)

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Book Synopsis Basic Proof Theory by : A. S. Troelstra

Download or read book Basic Proof Theory written by A. S. Troelstra. This book was released on 2000-07-27. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.

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