Last edited by JoJohn
Friday, May 15, 2020 | History

5 edition of Reductive Logic and Proof-search found in the catalog.

Reductive Logic and Proof-search

Proof Theory, Semantics, and Control (Oxford Logic Guides, 45)

by David J. Pym

  • 185 Want to read
  • 36 Currently reading

Published by Oxford University Press, USA .
Written in English


Edition Notes

SeriesOxford Logic Guides
The Physical Object
Number of Pages232
ID Numbers
Open LibraryOL7400471M
ISBN 100198526334
ISBN 109780198526339

Some emphasis will be put on ordinal analysis, reductive proof theory, explicit mathematics and type-theoretic formalisms, and abstract computations. The volume is dedicated to the 60th birthday of Professor Gerhard Jäger, who has been instrumental in shaping and promoting logic in Switzerland for the last 25 years.   Existence Assumptions and Logical Principles: Reductive Logic and Proof-search David J. Steven Collins rated it really liked it Customers who bought this item also bought. Leo Horovitz added it Preview — Elements of Intuitionism by Michael Dummett. Liam Kofi marked it as to-read Learn more about Amazon Prime.

Deductive Logic, Reductive Logic, and Proof-search Introduction Logical prerequisites Basics of classical logic Basics of intuitionistic logic Basics of proof systems Algebraic prerequisites Basics of categories Outline of the monograph Discussion Errata and remarks. Cantorian set theory and limitation of size. Home Cantorian set 7 downloads 82 Views 3MB Size Report Lectures in Logic and Set Theory, Set Theory. Cantorian Set Theory and Limitation of Size by Michael Hallett,, available at Book Depository with free delivery worldwide.

I think it's just because reductive logic is not as well-studied today as other non-classical logics. There appears to be no more than a single book, Reductive Logic and Proof-search, on the topic, and it came out in If you want to add a brief mention of it, go ahead. DRAFT Quantifiers in logic and proof-search using permissive-nominal terms and sets Murdoch J. Gabbay, Claus-Peter Wirth Abstract We investigate models of first-order logic designed to give semantics to reductive proof-searchsystems,withspecialattentiontotheso-called-and : Murdoch James Gabbay, Claus-Peter Wirth.


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Reductive Logic and Proof-search by David J. Pym Download PDF EPUB FB2

This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search, areas of logic that are becoming important in computer science. A systematic foundational text on these emerging topics, it includes proof-theoretic, semantic/model-theoretic and algorithmic by: 5.

This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search including proof-theoretic, semantic/model-theoretic and algorithmic aspects.

The scope ranges from the conceptual background to reductive logic, through its mathematical metatheory, to its modern applications. Reductive Logic and Proof-search: Proof Theory, Semantics, and Control (Oxford Logic Guides) 1st Edition by David J.

Pym (Author) › Visit Amazon's David J. Pym Page. Find all the books, read about the author, and more. See search results Reductive Logic and Proof-search book this author Format: Hardcover. Buy Reductive Logic and Proof-Search Books online at best prices in India by Eike Ritter,David J Pym,David J.

(Professor of Logic & Computation, University of Bath and Royal Society Industry Fellow, Hewlett-Packard Laboratories, Bristol) Pym,Eike (Lecturer in Computer Science, University of Birmingham) Ritter from Buy Reductive Logic and Proof.

This a research study about logic. Logic is both part of and has roles in many disciplines, including inter alia, mathematics, computing, and philosophy. The topic covered here — the mathematical theory of reductive logic and proof-search — draws upon the techniques and cultures of all three disciplines, but is mainly about mathematics and computation.

Book. Reductive Logic and Proof-search David J. Pym and Eike Ritter. Published in print April | ISBN oso/ Series: Oxford Logic Guides. Available in» abstract. Buy this work at. Oxford University Press» Book. Go to. Get this from a library. Reductive logic and proof-search: proof theory, semantics, and control.

[David J Pym; Eike Ritter] -- Discusses the development of the mathematical and computational metatheory of reductive logic and proof-search, including proof-theoretic, semantic/model-theoretic and algorithmic aspects.

The scope. This chapter offers an explanation of the basic concepts of reductive logic and proof-search. A discussion of the mathematical prerequisites needed for this study is also included. Key basic topics in logic and algebra are covered.

In logic, the basics of classical logic, intuitionism, and axiomatic proof systems are stated; in algebra, basic ordered structures are discussed with a Author: David J. Pym. Get this from a library. Reductive logic and proof-search: proof theory, semantics, and control.

[David J Pym; Eike Ritter] -- This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search, areas of logic that are becoming important in computer. Request PDF | A games semantics for reductive logic and proof-search | Theorem proving, or algorithmic proof-search, is an essential enabling technology.

Reductive Logic and Proof-Search: Proof Theory, Semantics, and Control. / Pym, D J; Ritter, E. Oxford: Clarendon Press, Research output: Book/Report › BookCited by: 5. Comments Off on Reductive Logic and Proof-Search: Proof Theory, Semantics, by David J. Pym By David J. Pym Drawing a bit at the options and tradition of philosophy, yet totally on these of arithmetic and computing, Pyn (U.

of tub) and Ritter (U. of Birmingham) introduce reductive common sense and proof-search/5(22). The main logic article in the Encyclopaedia Britannica has described the first edition as 'the best starting point for exploring any of the topics in logic'.

We are confident that the second edition will prove to be just as good. The first edition was the. Reductive Logic and Proof-Search: Proof Theory, Semantics, and Control. David J. Pym - - Oxford University Press. details This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof -search including proof -theoretic, semantic/model-theoretic and algorithmic aspects.

Now in its fourth edition, this classic work clearly and concisely introduces the subject of logic and its applications. The first part of the book explains the basic concepts and principles which make up the elements of logic. The author demonstrates that these ideas are found in all branches of mathematics, and that logical laws are constantly applied in mathematical reasoning.

Then we present a games semantics for reductive logic and show how it may be used to model two important examples of control, namely backtracking and. David J. Pym: скачать бесплатно. Электронная библиотека. Поиск книг Z-Library | B–OK.

Download books for free. Find books. (Investigators) David Pym (Principal Investigator) David is a logician, mathematician, and computer scientist. His research is mainly in logic, where he works in both pure logic and on developing logic-based methods as a mathematical modelling technology for reasoning about systems and behaviour, and in security, where he works in security policy, security economics.

Abstract. Girard [1] introduced Ludics as an interactive theory aiming at overcoming the distinction between syntax and semantics in logic.

In this paper, we investigate how ludics could serve as a foundation for logic programming, providing a mechanism for interactive proof search, that is proof search by interaction (or proof search by cut-elimination).Cited by: 5. This monograph is on interpolation and definability, a notion central in pure logic and with significant meaning and applicability in all areas where logic is applied, especially computer science, artificial intelligence, logic programming, philosophy of Price: $.

Reductive Logic and Proof-Search: Proof Theory, Semantics, and Control. David J. Pym - - Oxford University the book: $ new (47% off) $ .David J. Pym and Eike Ritter: Reductive Logic and Proof Search: Proof theory, semantics and control D.M.

Gabbay and L. Maksimova: Interpolation and Definability: Modal and Intuitionistic Logics John L. Bell: Set Theory: Boolean-valued models and independence proofs, third edition File Size: 1MB.In Chapter 6, the authors analyze the addition of algorithmic control regimes to reductive proof then leading to proof-search.

They present a semantics for proof-search in reductive logic which integrates backtracking within the model theory and thus captures the slogan "proof-search is reduction+control".