Mathematical Logic And Formal Systems

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Mathematical Logic And Formal Systems
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Author : Alcantara
language : en
Publisher: CRC Press
Release Date : 1985-04-25
Mathematical Logic And Formal Systems written by Alcantara and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-04-25 with Mathematics categories.
This unique collection of research papers provides an important contribution to the area of Mathematical Logic and Formal Systems. Exploring interesting practical applications as well as problems for further investigation, this single-source reference discusses the interpretations of the concept of probability and their relationship to statistical methods ... illustrates the problem of set theoretical foundations and category theory ... treats the various aspects of the theory of large cardinals including combinatorial properties of some sets naturally related to them ... resolves an open problem in the theory of relations ... and characterizes interpretations of elementary theories as functors between categories whose objects are structures. Written by world-renowned authorities in their fields, Mathematical Logic and Formal Systems is important reading for logicians, pure and applied mathematicians, and graduate students in logic courses. Book jacket.
Mathematical Logic
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Author :
language : en
Publisher:
Release Date :
Mathematical Logic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Mathematical Interpretation Of Formal Systems
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Author : Wiskundig Genootschap (Netherlands)
language : en
Publisher: Elsevier
Release Date : 1955
Mathematical Interpretation Of Formal Systems written by Wiskundig Genootschap (Netherlands) and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Electronic books categories.
Mathematical Logic Formal Systems
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Author : Open University Course Team
language : en
Publisher:
Release Date : 2008-12-06
Mathematical Logic Formal Systems written by Open University Course Team and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-06 with categories.
In this and units ML05 up to ML08, we develop a formal proof system capable of deriving results about number theory, leading up to Godel's Incompleteness Theorems, setting limits to what such formal systems can achieve. In unit ML01, we look at a formal language for expressing statements about number theory and how such statements can be true or false, depending on the interpretation of the symbols used. We look at tautologies, which are some of the statements always true because of their shape, and at what it means for one statement to be a consequence of others, to give a yardstick for what we expect from theformal proof system.To order all 8 units in the Mathematical Logic series please see product M381/PP01
Theory Of Formal Systems
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Author : Raymond M. Smullyan
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Theory Of Formal Systems written by Raymond M. Smullyan and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Science categories.
This book serves both as a completely self-contained introduction and as an exposition of new results in the field of recursive function theory and its application to formal systems.
Foundations Of Mathematical Logic
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Author : Haskell Brooks Curry
language : en
Publisher: Courier Corporation
Release Date : 1977-01-01
Foundations Of Mathematical Logic written by Haskell Brooks Curry and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-01-01 with Mathematics categories.
Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems. 1963 edition.
Systems Of Formal Logic
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Author : L.H. Hackstaff
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Systems Of Formal Logic written by L.H. Hackstaff and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
The present work constitutes an effort to approach the subject of symbol ic logic at the elementary to intermediate level in a novel way. The book is a study of a number of systems, their methods, their rela tions, their differences. In pursuit of this goal, a chapter explaining basic concepts of modern logic together with the truth-table techniques of definition and proof is first set out. In Chapter 2 a kind of ur-Iogic is built up and deductions are made on the basis of its axioms and rules. This axiom system, resembling a propositional system of Hilbert and Ber nays, is called P +, since it is a positive logic, i. e. , a logic devoid of nega tion. This system serves as a basis upon which a variety of further sys tems are constructed, including, among others, a full classical proposi tional calculus, an intuitionistic system, a minimum propositional calcu lus, a system equivalent to that of F. B. Fitch (Chapters 3 and 6). These are developed as axiomatic systems. By means of adding independent axioms to the basic system P +, the notions of independence both for primitive functors and for axiom sets are discussed, the axiom sets for a number of such systems, e. g. , Frege's propositional calculus, being shown to be non-independent. Equivalence and non-equivalence of systems are discussed in the same context. The deduction theorem is proved in Chapter 3 for all the axiomatic propositional calculi in the book.
Mathematical Logic
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Author : Stephen Cole Kleene
language : en
Publisher: Courier Corporation
Release Date : 2002-01-01
Mathematical Logic written by Stephen Cole Kleene and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.
Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text. Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas and the more profound results of logical research in the 20th century. 1967 edition.
Mathematical Logic
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Author : R.O. Gandy
language : en
Publisher: Elsevier
Release Date : 2001-12-05
Mathematical Logic written by R.O. Gandy and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-05 with Computers categories.
Mathematical Logic is a collection of the works of one of the leading figures in 20th-century science. This collection of A.M. Turing's works is intended to include all his mature scientific writing, including a substantial quantity of unpublished material. His work in pure mathematics and mathematical logic extended considerably further; the work of his last years, on morphogenesis in plants, is also of the greatest originality and of permanent importance. This book is divided into three parts. The first part focuses on computability and ordinal logics and covers Turing's work between 1937 and 1938. The second part covers type theory; it provides a general introduction to Turing's work on type theory and covers his published and unpublished works between 1941 and 1948. Finally, the third part focuses on enigmas, mysteries, and loose ends. This concluding section of the book discusses Turing's Treatise on the Enigma, with excerpts from the Enigma Paper. It also delves into Turing's papers on programming and on minimum cost sequential analysis, featuring an excerpt from the unpublished manuscript. This book will be of interest to mathematicians, logicians, and computer scientists.
Introduction To Mathematical Logic Extended Edition
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Author : Michal Walicki
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-08-12
Introduction To Mathematical Logic Extended Edition written by Michal Walicki and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-12 with Mathematics categories.
This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse.