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Sunday, August 9, 2020 | History

4 edition of Automated theorem-proving in non-classical logics found in the catalog.

Automated theorem-proving in non-classical logics

by Paul B. Thistlewaite

  • 2 Want to read
  • 7 Currently reading

Published by Pitman, Wiley in London, New York .
Written in English

    Subjects:
  • Automatic theorem proving.,
  • Nonclassical mathematical logic.

  • Edition Notes

    StatementPaul B. Thistlewaite, Michael A. McRobbie, and Robert K. Meyer.
    SeriesResearch notes in theoretical computer science,
    ContributionsMcRobbie, M. A., Meyer, Robert K.
    Classifications
    LC ClassificationsQA76.9.A96 T48 1988
    The Physical Object
    Pagination154 p. :
    Number of Pages154
    ID Numbers
    Open LibraryOL2395359M
    ISBN 100470210060
    LC Control Number87025052

    Connections in nonclassical logics. Handbook of Automated Reasoning, Vol.2, pp, Elsevier Science and MIT Press, Lincoln Wallen. Automated Proof Search in . Viorica Sofronie-Stokkermans, "Representation theorems and the semantics of non-classical logics, and applications to automated theorem proving" to appear in "Theory and Applications of Multiple-Valued Logic" (eds. M. Fitting and E. Orlowska) Springer-Verlag series Studies in Fuzziness and Soft Computing, pages ().

    The papers have been organized in topical sections on satisfiability of Boolean formulas, satisfiability modulo theory, rewriting, arithmetic reasoning and mechanizing mathematics, first-order logic and proof theory, first-order theorem proving, higher-order theorem proving, modal and temporal logics, non-classical logics, and : Springer International Publishing. Their individual papers span a broad range of topics, including programming language semantics, analysis and verification, first-order and higher-order theorem proving, unification theory, non-classical logics, reasoning modulo theories, and applications of automated reasoning in biology.

    This book is intended for computer scientists. But even this is not precise. Within computer science formal logic turns up in a number of areas, from pro­ gram verification to logic programming to artificial intelligence. This book is intended for computer scientists interested in . Morgan C () Methods for Automated Theorem Proving in Nonclassical Logics, IEEE Transactions on Computers, , (), Online publication date: 1-Aug Minker J Performing inferences over relation data bases Proceedings of the ACM SIGMOD international conference on Management of .


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Automated theorem-proving in non-classical logics by Paul B. Thistlewaite Download PDF EPUB FB2

Automated theorem-proving in non-classical logics. London: Pitman ; New York: Wiley, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Paul B Thistlewaite; M A McRobbie; Robert K Meyer. Automated Theorem Proving: Theory and Practice - Ebook written by Monty Newborn.

Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Automated Theorem Proving: Theory and : Monty Newborn. Automated theorem proving by resolution in non-classical logics Article (PDF Available) in Annals of Mathematics and Artificial Intelligence 49(1) April with 56 ReadsAuthor: Viorica Sofronie-Stokkermans.

Automated theorem proving by resolution in non-classical logics Viorica Sofronie-Stokkermans Max-Planck-Institut f ur Informatik, Stuhlsatzenhaus Saarbrucken, Germany Abstract This paper is an overview of a variety of results, all centered around a common theme, namely embedding of non-classical logics into rst order logic and resolution.

This paper is an overview of a variety of results, all centered around a common theme, namely embedding of non-classical logics into first order logic and resolution theorem proving. We present several classes of non-classical logics, many of which are of great practical relevance in knowledge representation, which can be translated into tractable and relatively simple fragments of Cited by: The theory of computation is based on concepts defined by logicians and mathematicians.

Logic plays a fundamental role in computer science, and this book explains the basic theorems, as well as different techniques of proving them in classical and some non-classical : Anita Wasilewska. She has also published papers, books, and edited books in many domains ranging from Classical and Non-Classical Logics, Automated Theorem Proving, Formal Languages, Theory of Programs, Foundations of Rough Sets in which she was one of the pioneers, to generalized Fuzzy and Rough sets, and Machine Learning.

Automated Deduction in Classical and Non-Classical Logics Selected Papers. Editors: Caferra, Gernot (Eds.) Free Preview. Buy this book eB84 € price for Spain (gross) Buy eBook Automated Theorem Proving in First-Order Logic Modulo: On the Difference between.

Sofronie-Stokkermans, V.: Representation theorems and automated theorem proving in non-classical logics. In Proceedings of the 29th IEEE International Symposium on Multiple-Valued Logic, Freiburg im Breisgau, Germany.

IEEE Computer Society, IEEE Computer Society Press () - Cited by: ACKNOWLEDGEMENTS This book is a revised version of my PhD thesis, submitted to the Depart-ment of Computer Science, University of Karlsruhe in May Many people have helped an. Logic (from the Ancient Greek: λογική, romanized: logikḗ) is the systematic study of the form of valid inference, and the most general laws of truth.

A valid inference is one where there is a specific relation of logical support between the assumptions of the inference and its ordinary discourse, inferences may be signified by words such as therefore, thus, hence, ergo. Logics, which is the study of formal reasoning, plays a very important role in computer science.

Logics for Computer Science explains many basic theorems as well as techniques for proofs in classical and non-classical logics. Wasilewska gives in depth presentations of automated theorem proving Gentzen type formal systems, Hilbert formalizations.

Representation Theorems and the Semantics of Non-classical Logics, and Applications to Automated Theorem Proving.

In M. Fitting, & E. Orlowska (Eds.), Beyond Two: Theory and Applications of Multiple Valued Logic (pp. Berlin, Germany: by: Resolution Proof Systems: An Algebraic Theory presents a new algebraic framework for the design and analysis of resolution- based automated reasoning systems for a range of non-classical logics.

It develops an algebraic theory of resolution proof systems focusing on the problems of proof theory, representation and efficiency of the deductive.

The lecture component introduces the basic concepts and techniques of logic followed by successive refinement towards more efficient implementations. The basic theorem proving paradigms we plan to cover are tableaux and the inverse method, both of which are.

New automated deduction methods have been developed for non-classical logics, and resolution has been generalised and modified to be applicable to these logics. In general, because of the value of those logics in theoretical computer science and artificial intelligence, a greater awareness of the computational aspects of logical systems is.

ISBN: OCLC Number: Description: viii, pages: illustrations ; 23 cm: Contents: Automated theorem proving in first-order logic modulo: on the difference between type theory and set theory / Gilles Dowek --Higher-order modal logic--a sketch / Melvin Fitting --Proving associative-commutative termination using RPO-compatible orderings / Deepak Kapur, G.

Automated Deduction in Classical and Non-Classical Logics: Selected Papers (Lecture Notes in Computer Science ()) [Caferra, Ricardo, Salzer, Gernot] on *FREE* shipping on qualifying offers. Automated Deduction in Classical and Non-Classical Logics: Selected Papers (Lecture Notes in Computer Science ()).

Automated reasoning in classical logic has received much attention in the literature. Mature resolution theorem provers such as Vampire and E can handle enormous problems in first-order classical logic with equality. Waldmeister, a theorem prover for unit equational logic, has been incorporated into Mathematica as an equational reasoning method.

This volume presents a collection of thoroughly reviewed revised full papers on automated deduction in classical, modal, and many-valued logics, with an emphasis on first-order theories.

Five invited papers by prominent researchers give a consolidated view of the recent developments in. Automated Theorem Proving On-Line Course Materials Resource This is a collection of teaching materials for courses in theorem proving, including propositional, first-order, and higher order theorem proving, classical and non-classical logics, resolution and .ferent logics it can also be used to guide the development of proofs in interactive proof assistants and shows how to integrate automated and interactive theorem proving.

1 Introduction Classical and non-classical logics are used extensively in various branches of Arti-ficial Intelligence and Computer Science as logics of knowledge and belief.Non-classical Logics: Theory, Applications and Tools Agata Ciabattoni Vienna University of Technology (TUV) Joint work with as bases for automated theorem proving to give syntactic proofs of algebraic properties for which (in particular cases) semantic methods are not known.