Reports on mathematical logic. 26 (1992)
Author : [Anonymus AC00952235]
Publisher :
Page : 95 pages
File Size : 16,84 MB
Release : 1992
Category :
ISBN : 9788323306306
Author : [Anonymus AC00952235]
Publisher :
Page : 95 pages
File Size : 16,84 MB
Release : 1992
Category :
ISBN : 9788323306306
Author :
Publisher :
Page : 636 pages
File Size : 38,60 MB
Release : 1998
Category : Logic, Symbolic and mathematical
ISBN :
Author : Janusz Czelakowski
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 49,94 MB
Release : 2013-04-17
Category : Mathematics
ISBN : 9401728070
The main aim of this book is to present recent ideas in logic centered around the notion of a consequence operation. We wish to show these ideas in a factually and materially connected way, i.e., in the form of a consistent theory derived from several simple assumptions and definitions. These ideas have arisen in many research centers. The thorough study of their history can certainly be an exciting task for the historian of logic; in the book this aspect of the theory is being played down. The book belongs to abstract algebraic logic, the area of research that explores to a large extent interconnections between algebra and logic. The results presented here concern logics defined in zero-order languages (Le., quantifier-free sentential languages without predicate symbols). The reach of the theory expounded in the book is, in fact, much wider. The theory is also valid for logics defined in languages of higer orders. The problem of transferring the theory to the level of first-order languages has been satisfactorily solved and new ideas within this area have been put forward in the work of Blok and Pigozzi [1989].
Author : M. D'Agostino
Publisher : Springer Science & Business Media
Page : 672 pages
File Size : 33,25 MB
Release : 2013-03-09
Category : Philosophy
ISBN : 9401717540
Recent years have been blessed with an abundance of logical systems, arising from a multitude of applications. A logic can be characterised in many different ways. Traditionally, a logic is presented via the following three components: 1. an intuitive non-formal motivation, perhaps tie it in to some application area 2. a semantical interpretation 3. a proof theoretical formulation. There are several types of proof theoretical methodologies, Hilbert style, Gentzen style, goal directed style, labelled deductive system style, and so on. The tableau methodology, invented in the 1950s by Beth and Hintikka and later per fected by Smullyan and Fitting, is today one of the most popular, since it appears to bring together the proof-theoretical and the semantical approaches to the pre of a logical system and is also very intuitive. In many universities it is sentation the style first taught to students. Recently interest in tableaux has become more widespread and a community crystallised around the subject. An annual tableaux conference is being held and proceedings are published. The present volume is a Handbook a/Tableaux pre senting to the community a wide coverage of tableaux systems for a variety of logics. It is written by active members of the community and brings the reader up to frontline research. It will be of interest to any formal logician from any area.
Author : Elliot Mendelsohn
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 32,40 MB
Release : 2012-12-06
Category : Science
ISBN : 1461572886
This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.
Author :
Publisher :
Page : 872 pages
File Size : 40,44 MB
Release : 1993
Category : Logic
ISBN :
Author : [Anonymus AC02315363]
Publisher :
Page : 109 pages
File Size : 10,90 MB
Release : 1996
Category :
ISBN : 9788323311010
Author : Leonard Bolc
Publisher : Routledge
Page : 207 pages
File Size : 48,45 MB
Release : 2019-10-24
Category : Philosophy
ISBN : 1000507319
Originally published in 1995 Time and Logic examines understanding and application of temporal logic, presented in computational terms. The emphasis in the book is on presenting a broad range of approaches to computational applications. The techniques used will also be applicable in many cases to formalisms beyond temporal logic alone, and it is hoped that adaptation to many different logics of program will be facilitated. Throughout, the authors have kept implementation-orientated solutions in mind. The book begins with an introduction to the basic ideas of temporal logic. Successive chapters examine particular aspects of the temporal theoretical computing domain, relating their applications to familiar areas of research, such as stochastic process theory, automata theory, established proof systems, model checking, relational logic and classical predicate logic. This is an essential addition to the library of all theoretical computer scientists. It is an authoritative work which will meet the needs both of those familiar with the field and newcomers to it.
Author : Heinrich Wansing
Publisher : Walter de Gruyter
Page : 281 pages
File Size : 48,49 MB
Release : 2010-11-05
Category : Philosophy
ISBN : 3110876809
Negation: A Notion in Focus (Perspectives in Analytical Philosophy, Bd 7).
Author : Howard DeLong
Publisher : Courier Corporation
Page : 322 pages
File Size : 36,68 MB
Release : 2012-09-26
Category : Mathematics
ISBN : 0486139158
This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work.