Systems Of Logic
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Systems Of Logic
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Author : Norman M. Martin
language : en
Publisher: Cambridge University Press
Release Date : 1989-07-28
Systems Of Logic written by Norman M. Martin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-07-28 with Philosophy categories.
This advanced study of systems of propositional logic offers a comprehensive account of a wide variety of logical systems and encourages students to take a critical stance toward the subject. A great variety of systems and subsystems are defined and compared as regards their deductive power and relation to their model theory. Special attention is given to the weakenings of classical logic and a more refined treatment of modal logic is presented.
Systems Of Formal Logic
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Author : L.H. Hackstaff
language : en
Publisher: Springer Science & Business Media
Release Date : 1966-07-31
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 1966-07-31 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.
System Logic History Logical Doctrines
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Author : Friedrich Ueberweg
language : en
Publisher: A&C Black
Release Date : 2001-01-15
System Logic History Logical Doctrines written by Friedrich Ueberweg and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-15 with Philosophy categories.
Friedrich Ueberweg (1826--71) is best remembered for both his compendious History of Philosophy and his System of Logic, both of which went through several editions in the original German. It was the latter's remarkable popularity as a textbook in Germany that led Lindsay to translate it to fill a gap in the English market. As well as incorporating the most up-to-date revisions and additions of the German edition he inserted the opinions of the more important English logicians. As such this is a valuable textbook for the understanding of logic systems as taught in England and Germany before symbolic logic was a formal and distinct discipline. --translation from the text of the third edition with additional alterations and additions --classic textbook of interest to German and English-speaking historians of logic --contains historical and up-to-date information on logical systems
Le Niewski S Systems Of Logic And Foundations Of Mathematics
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Author : Rafal Urbaniak
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-24
Le Niewski S Systems Of Logic And Foundations Of Mathematics written by Rafal Urbaniak 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 2013-09-24 with Science categories.
This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.
Alan Turing S Systems Of Logic
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Author : Andrew W. Appel
language : en
Publisher: Princeton University Press
Release Date : 2014-11-16
Alan Turing S Systems Of Logic written by Andrew W. Appel 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 2014-11-16 with Computers categories.
A facsimile edition of Alan Turing's influential Princeton thesis Between inventing the concept of a universal computer in 1936 and breaking the German Enigma code during World War II, Alan Turing (1912–1954), the British founder of computer science and artificial intelligence, came to Princeton University to study mathematical logic. Some of the greatest logicians in the world—including Alonzo Church, Kurt Gödel, John von Neumann, and Stephen Kleene—were at Princeton in the 1930s, and they were working on ideas that would lay the groundwork for what would become known as computer science. This book presents a facsimile of the original typescript of Turing's fascinating and influential 1938 Princeton PhD thesis, one of the key documents in the history of mathematics and computer science. The book also features essays by Andrew Appel and Solomon Feferman that explain the still-unfolding significance of the ideas Turing developed at Princeton. A work of philosophy as well as mathematics, Turing's thesis envisions a practical goal—a logical system to formalize mathematical proofs so they can be checked mechanically. If every step of a theorem could be verified mechanically, the burden on intuition would be limited to the axioms. Turing's point, as Appel writes, is that "mathematical reasoning can be done, and should be done, in mechanizable formal logic." Turing's vision of "constructive systems of logic for practical use" has become reality: in the twenty-first century, automated "formal methods" are now routine. Presented here in its original form, this fascinating thesis is one of the key documents in the history of mathematics and computer science.
Design Of Logic Systems
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Author : DAVID PROTHEROE DOUGLAS LEWIN
language : en
Publisher: Springer
Release Date : 2013-11-21
Design Of Logic Systems written by DAVID PROTHEROE DOUGLAS LEWIN and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Computers categories.
Logic In Computer Science
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Author : Michael Huth
language : en
Publisher: Cambridge University Press
Release Date : 2004-08-26
Logic In Computer Science written by Michael Huth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-26 with Computers categories.
Recent years have seen the development of powerful tools for verifying hardware and software systems, as companies worldwide realise the need for improved means of validating their products. There is increasing demand for training in basic methods in formal reasoning so that students can gain proficiency in logic-based verification methods. The second edition of this successful textbook addresses both those requirements, by continuing to provide a clear introduction to formal reasoning which is both relevant to the needs of modern computer science and rigorous enough for practical application. Improvements to the first edition have been made throughout, with extra and expanded sections on SAT solvers, existential/universal second-order logic, micro-models, programming by contract and total correctness. The coverage of model-checking has been substantially updated. Further exercises have been added. Internet support for the book includes worked solutions for all exercises for teachers, and model solutions to some exercises for students.
The Two Valued Iterative Systems Of Mathematical Logic
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Author : Emil L. Post
language : en
Publisher: Princeton University Press
Release Date : 1942-01-20
The Two Valued Iterative Systems Of Mathematical Logic written by Emil L. Post 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 1942-01-20 with Mathematics categories.
The description for this book, The Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5, will be forthcoming.
Deductive Systems In Traditional And Modern Logic
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Author : Alex Citkin
language : en
Publisher: MDPI
Release Date : 2020-11-18
Deductive Systems In Traditional And Modern Logic written by Alex Citkin and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-18 with Mathematics categories.
The book provides a contemporary view on different aspects of the deductive systems in various types of logics including term logics, propositional logics, logics of refutation, non-Fregean logics, higher order logics and arithmetic.
Temporal Logic And State Systems
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Author : Fred Kröger
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-27
Temporal Logic And State Systems written by Fred Kröger 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 2008-03-27 with Computers categories.
Temporal logic has developed over the last 30 years into a powerful formal setting for the specification and verification of state-based systems. Based on university lectures given by the authors, this book is a comprehensive, concise, uniform, up-to-date presentation of the theory and applications of linear and branching time temporal logic; TLA (Temporal Logic of Actions); automata theoretical connections; model checking; and related theories. All theoretical details and numerous application examples are elaborated carefully and with full formal rigor, and the book will serve as a basic source and reference for lecturers, graduate students and researchers.