Logics and Type Systems in Theory and Practice PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Logics and Type Systems in Theory and Practice PDF full book. Access full book title Logics and Type Systems in Theory and Practice by Venanzio Capretta. Download full books in PDF and EPUB format.
Author: Venanzio Capretta
Publisher: Springer Nature
ISBN: 3031617169
Category :
Languages : en
Pages : 284
Get Book Here
Book Description
Author: Venanzio Capretta
Publisher: Springer Nature
ISBN: 3031617169
Category :
Languages : en
Pages : 284
Get Book Here
Book Description
Author: B. Jacobs
Publisher: Gulf Professional Publishing
ISBN: 9780444508539
Category : Computers
Languages : en
Pages : 784
Get Book Here
Book Description
This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.
Author: Peter B. Andrews
Publisher: Springer Science & Business Media
ISBN: 9401599343
Category : Mathematics
Languages : en
Pages : 404
Get Book Here
Book Description
In case you are considering to adopt this book for courses with over 50 students, please contact
[email protected] for more information. This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory. Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification.
Author: Simon Thompson
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Computers
Languages : en
Pages : 396
Get Book Here
Book Description
This book explores the role of Martin-Lof s constructive type theory in computer programming. The main focus of the book is how the theory can be successfully applied in practice. Introductory sections provide the necessary background in logic, lambda calculus and constructive mathematics, and exercises and chapter summaries are included to reinforce understanding.
Author: Bengt Nordström
Publisher: Oxford University Press, USA
ISBN:
Category : Computers
Languages : en
Pages : 240
Get Book Here
Book Description
In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-Löf. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property. This book contains a thorough introduction to type theory, with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples.
Author: Theodore Sider
Publisher: Oxford University Press
ISBN: 0192658816
Category : Philosophy
Languages : en
Pages : 305
Get Book Here
Book Description
Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.
Author: Thierry Coquand
Publisher: Springer
ISBN: 3540445579
Category : Computers
Languages : en
Pages : 201
Get Book Here
Book Description
This book constitutes the thoroughly refereed post-workshop proceedings of the Third International Workshop, TYPES'99, organized by the ESPRIT Working Group 21900, in Lökeberg, Sweden, in June 1999. The 11 revised full papers presented in the volume were carefully reviewed and selected during two rounds of refereeing. All current issues on type theory and type systems and their applications to programming and proof theory are addressed.
Author: Konrad Slind
Publisher: Springer
ISBN: 3540301429
Category : Computers
Languages : en
Pages : 345
Get Book Here
Book Description
This volume constitutes the proceedings of the 17th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2004) held September 14–17, 2004 in Park City, Utah, USA. TPHOLs covers all aspects of theorem proving in higher-order logics as well as related topics in theorem proving and veri?cation. There were 42 papers submitted to TPHOLs 2004 in the full research ca- gory, each of which was refereed by at least 3 reviewers selected by the program committee. Of these submissions, 21 were accepted for presentation at the c- ference and publication in this volume. In keeping with longstanding tradition, TPHOLs 2004 also o?ered a venue for the presentation of work in progress, where researchers invited discussion by means of a brief introductory talk and then discussed their work at a poster session. A supplementary proceedings c- taining papers about in-progress work was published as a 2004 technical report of the School of Computing at the University of Utah. The organizers are grateful to Al Davis, Thomas Hales, and Ken McMillan for agreeing to give invited talks at TPHOLs 2004. The TPHOLs conference traditionally changes continents each year in order to maximize the chances that researchers from around the world can attend.
Author: Manuel Hermenegildo
Publisher: Springer
ISBN: 3540305572
Category : Computers
Languages : en
Pages : 276
Get Book Here
Book Description
This book constitutes the refereed proceedings of the 7th International Symposium on Practical Aspects of Declarative Languages, PADL 2005, held in Long Beach, CA, USA in January 2005. The 17 revised full papers presented together with the abstracts of 2 invited talks were carefully reviewed and selected from 36 submissions. All current aspects of declarative programming are addressed including implementational issues and applications in areas such as database management, active networks, software engineering, decision support systems, and music composition.
Author: J. Lambek
Publisher: Cambridge University Press
ISBN: 9780521356534
Category : Mathematics
Languages : en
Pages : 308
Get Book Here
Book Description
Part I indicates that typed-calculi are a formulation of higher-order logic, and cartesian closed categories are essentially the same. Part II demonstrates that another formulation of higher-order logic is closely related to topos theory.
