Author : Anonim
Publisher : Unknown
Page : 368 pages
File Size : 55,6 Mb
Release : 2019
Category : Electronic
ISBN : 1077322127
Sets, Logic, Computation
Anonim
Sets Logic Computation
Sets Logic Computation Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Sets Logic Computation book. This book definitely worth reading, it is an incredibly well-written.
Sets, Logic, Computation
Richard Zach
Author : Richard Zach
Publisher : Unknown
Page : 418 pages
File Size : 47,9 Mb
Release : 2021-07-13
Category : Electronic
ISBN : 9798536395509
Sets, Logic, Computation by Richard Zach Pdf
A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.
Sets, Logic, Computation: An Open Introduction to Metalogic
Richard Zach
Author : Richard Zach
Publisher : Unknown
Page : 128 pages
File Size : 49,7 Mb
Release : 2019
Category : Electronic books
ISBN : OCLC:1129391651
Sets, Logic, Computation: An Open Introduction to Metalogic by Richard Zach Pdf
Sets, Logic, Computation is an introductory textbook on metalogic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. The audience is undergraduate students with some background in formal logic, e.g., what is covered by forall x. NOTE: It's title has been changed from "Sets, Logic, Computation: An Open Logic Text" to "Sets, Logic, Computation: An Open Introduction to Metalogic."
Sets, Logic, Computation
Richard Zach
Author : Richard Zach
Publisher : Unknown
Page : 360 pages
File Size : 44,7 Mb
Release : 2017
Category : Electronic books
ISBN : OCLC:1096380039
Sets, Logic, Computation by Richard Zach Pdf
"This textbook is based on the Open Logic Project. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic"--BCcampus website.
Computational Logic and Set Theory
Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo
Author : Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 53,6 Mb
Release : 2011-07-16
Category : Computers
ISBN : 0857298089
Computational Logic and Set Theory by Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo Pdf
This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.
Sets, Logic and Maths for Computing
David Makinson
Author : David Makinson
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 43,9 Mb
Release : 2012-02-27
Category : Computers
ISBN : 9781447125006
Sets, Logic and Maths for Computing by David Makinson Pdf
This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.
Logic, Computation, Hierarchies
Vasco Brattka,Hannes Diener,Dieter Spreen
Author : Vasco Brattka,Hannes Diener,Dieter Spreen
Publisher : Walter de Gruyter GmbH & Co KG
Page : 424 pages
File Size : 43,6 Mb
Release : 2014-09-04
Category : Philosophy
ISBN : 9781614518044
Logic, Computation, Hierarchies by Vasco Brattka,Hannes Diener,Dieter Spreen Pdf
Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.
Sets, Logic and Maths for Computing
David Makinson
Author : David Makinson
Publisher : Springer Nature
Page : 408 pages
File Size : 41,9 Mb
Release : 2020-05-19
Category : Computers
ISBN : 9783030422189
Sets, Logic and Maths for Computing by David Makinson Pdf
This easy-to-understand textbook introduces the mathematical language and problem-solving tools essential to anyone wishing to enter the world of computer and information sciences. Specifically designed for the student who is intimidated by mathematics, the book offers a concise treatment in an engaging style. The thoroughly revised third edition features a new chapter on relevance-sensitivity in logical reasoning and many additional explanations on points that students find puzzling, including the rationale for various shorthand ways of speaking and ‘abuses of language’ that are convenient but can give rise to misunderstandings. Solutions are now also provided for all exercises. Topics and features: presents an intuitive approach, emphasizing how finite mathematics supplies a valuable language for thinking about computation; discusses sets and the mathematical objects built with them, such as relations and functions, as well as recursion and induction; introduces core topics of mathematics, including combinatorics and finite probability, along with the structures known as trees; examines propositional and quantificational logic, how to build complex proofs from simple ones, and how to ensure relevance in logic; addresses questions that students find puzzling but may have difficulty articulating, through entertaining conversations between Alice and the Mad Hatter; provides an extensive set of solved exercises throughout the text. This clearly-written textbook offers invaluable guidance to students beginning an undergraduate degree in computer science. The coverage is also suitable for courses on formal methods offered to those studying mathematics, philosophy, linguistics, economics, and political science. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.
A Computational Logic
Robert S. Boyer,J Strother Moore
Author : Robert S. Boyer,J Strother Moore
Publisher : Academic Press
Page : 414 pages
File Size : 54,9 Mb
Release : 2014-06-25
Category : Mathematics
ISBN : 9781483277882
A Computational Logic by Robert S. Boyer,J Strother Moore Pdf
ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.
Set Theory for Computing
Domenico Cantone,Eugenio Omodeo,Alberto Policriti
Author : Domenico Cantone,Eugenio Omodeo,Alberto Policriti
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 50,5 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9781475734522
Set Theory for Computing by Domenico Cantone,Eugenio Omodeo,Alberto Policriti Pdf
An up-to-date and comprehensive account of set-oriented symbolic manipulation and automated reasoning methods. This book is of interest to graduates and researchers in theoretical computer science and computational logic and automated reasoning.
Fundamentals of Logic and Computation
Zhe Hou
Author : Zhe Hou
Publisher : Springer
Page : 0 pages
File Size : 51,6 Mb
Release : 2022-12-05
Category : Computers
ISBN : 3030878848
Fundamentals of Logic and Computation by Zhe Hou Pdf
This textbook aims to help the reader develop an in-depth understanding of logical reasoning and gain knowledge of the theory of computation. The book combines theoretical teaching and practical exercises; the latter is realised in Isabelle/HOL, a modern theorem prover, and PAT, an industry-scale model checker. I also give entry-level tutorials on the two software to help the reader get started. By the end of the book, the reader should be proficient in both software. Content-wise, this book focuses on the syntax, semantics and proof theory of various logics; automata theory, formal languages, computability and complexity. The final chapter closes the gap with a discussion on the insight that links logic with computation. This book is written for a high-level undergraduate course or a Master's course. The hybrid skill set of practical theorem proving and model checking should be helpful for the future of readers should they pursue a research career or engineering in formal methods.
Logic, Computation and Rigorous Methods
Alexander Raschke,Elvinia Riccobene,Klaus-Dieter Schewe
Author : Alexander Raschke,Elvinia Riccobene,Klaus-Dieter Schewe
Publisher : Springer Nature
Page : 367 pages
File Size : 42,8 Mb
Release : 2021-06-04
Category : Computers
ISBN : 9783030760205
Logic, Computation and Rigorous Methods by Alexander Raschke,Elvinia Riccobene,Klaus-Dieter Schewe Pdf
This Festschrift was published in honor of Egon Börger on the occasion of his 75th birthday. It acknowledges Prof. Börger's inspiration as a scientist, author, mentor, and community organizer. Dedicated to a pioneer in the fields of logic and computer science, Egon Börger's research interests are unusual in scope, from programming languages to hardware architectures, software architectures, control systems, workflow and interaction patterns, business processes, web applications, and concurrent systems. The 18 invited contributions in this volume are by leading researchers in the areas of software engineering, programming languages, business information systems, and computer science logic.
A Computational Logic Handbook
Robert S. Boyer,J Strother Moore
Author : Robert S. Boyer,J Strother Moore
Publisher : Elsevier
Page : 426 pages
File Size : 47,8 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483277783
A Computational Logic Handbook by Robert S. Boyer,J Strother Moore Pdf
Perspectives in Computing: A Computational Logic Handbook contains a precise description of the logic and a detailed reference guide to the associated mechanical theorem proving system, including a primer for the logic as a functional programming language, an introduction to proofs in the logic, and a primer for the mechanical theorem. The publication first offers information on a primer for the logic, formalization within the logic, and a precise description of the logic. Discussions focus on induction and recursion, quantification, explicit value terms, dealing with features and omissions, elementary mathematical relationships, Boolean operators, and conventional data structures. The text then takes a look at proving theorems in the logic, mechanized proofs in the logic, and an introduction to the system. The text examines the processes involved in using the theorem prover, four classes of rules generated from lemmas, and aborting or interrupting commands. Topics include executable counterparts, toggle, elimination of irrelevancy, heuristic use of equalities, representation of formulas, type sets, and the crucial check points in a proof attempt. The publication is a vital reference for researchers interested in computational logic.
Computation, Logic, Philosophy
Wang Hao
Author : Wang Hao
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400923560
Computation, Logic, Philosophy by Wang Hao Pdf
~Et moi ... si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non· The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Logics of Time and Computation
Robert Goldblatt
Author : Robert Goldblatt
Publisher : Center for the Study of Language and Information Publications
Page : 180 pages
File Size : 54,8 Mb
Release : 1992-06-01
Category : Mathematics
ISBN : 0937073938
Logics of Time and Computation by Robert Goldblatt Pdf
Sets out the basic theory of normal modal and temporal propositional logics; applies this theory to logics of discrete (integer), dense (rational), and continuous (real) time, to the temporal logic of henceforth, next, and until, and to the propositional dynamic logic of regular programs.