Labelled Non-Classical Logics

Labelled Non-Classical Logics PDF Author: Luca Viganò
Publisher: Springer Science & Business Media
ISBN: 1475732082
Category : Philosophy
Languages : en
Pages : 295

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Book Description
I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics. I put forward the methodology of labelled deductive systems to the participants of Logic Colloquium'90 (Labelled Deductive systems, a Position Paper, In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90, Volume 2 of Lecture Notes in Logic, pages 66-68, Springer, Berlin, 1993), in an attempt to bring labelling as a recognised and significant component of our logic culture. It was a response to earlier isolated uses of labels by various distinguished authors, as a means to achieve local proof theoretic goals. Labelling was used in many different areas such as resource labelling in relevance logics, prefix tableaux in modal logics, annotated logic programs in logic programming, proof tracing in truth maintenance systems, and various side annotations in higher-order proof theory, arithmetic and analysis. This widespread local use of labels was an indication of an underlying logical pattern, namely the simultaneous side-by-side manipulation of several kinds of logical information. It was clear that there was a need to establish the labelled deductive systems methodology. Modal logic is one major area where labelling can be developed quickly and sys tematically with a view of demonstrating its power and significant advantage. In modal logic the labels can play a double role.

Labelled Non-Classical Logics

Labelled Non-Classical Logics PDF Author: Luca Viganò
Publisher: Springer Science & Business Media
ISBN: 1475732082
Category : Philosophy
Languages : en
Pages : 295

Get Book

Book Description
I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics. I put forward the methodology of labelled deductive systems to the participants of Logic Colloquium'90 (Labelled Deductive systems, a Position Paper, In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90, Volume 2 of Lecture Notes in Logic, pages 66-68, Springer, Berlin, 1993), in an attempt to bring labelling as a recognised and significant component of our logic culture. It was a response to earlier isolated uses of labels by various distinguished authors, as a means to achieve local proof theoretic goals. Labelling was used in many different areas such as resource labelling in relevance logics, prefix tableaux in modal logics, annotated logic programs in logic programming, proof tracing in truth maintenance systems, and various side annotations in higher-order proof theory, arithmetic and analysis. This widespread local use of labels was an indication of an underlying logical pattern, namely the simultaneous side-by-side manipulation of several kinds of logical information. It was clear that there was a need to establish the labelled deductive systems methodology. Modal logic is one major area where labelling can be developed quickly and sys tematically with a view of demonstrating its power and significant advantage. In modal logic the labels can play a double role.

Labelled Deductive Systems

Labelled Deductive Systems PDF Author: Dov M. Gabbay
Publisher:
ISBN:
Category :
Languages : en
Pages : 265

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Book Description


Compiled Labelled Deductive Systems

Compiled Labelled Deductive Systems PDF Author: Krysia Broda
Publisher: Institute of Physics Publishing (GB)
ISBN:
Category : Computers
Languages : en
Pages : 376

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Book Description
This book introduces a general framework, called Compiled Labelled Deductive System (CLDS), for a unified presentation of logics. It shows how this technique is applied to various families of non-classical logics widely used in Computer Science and Artificial Intelligence. It includes complete natural deduction proof systems, together with proofs and examples, for the families of propositional and predicate modal logics, propositional conditional logics of normality, multiplicative linear logic and for Lukasiewicz fuzzy logic. The CLDS framework generalises the notion of a logical theory to a structured theory consisting of labelled formulas and relations between the labels. This formalisation makes the logics more amenable to applications. Moreover, the framework provides a semantic approach based on a first-order translation, which can be uniformly applied to any logic whose semantics is first-order axiomatisable. Such a semantic approach also facilitates the development of automated theorem provers for non-classical logics.

Labelled Deductive Systems

Labelled Deductive Systems PDF Author: Dov M. Gabbay
Publisher:
ISBN: 9781383026320
Category : Logic
Languages : en
Pages : 0

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Book Description
This work introduces a new unifying framework for logics which makes it particularly suitable for applications. It develops its general theory and illustrates it with applications in logic, computer science, artificial intelligence, and philosophy.

Labelled Deduction

Labelled Deduction PDF Author: David Basin
Publisher: Springer Science & Business Media
ISBN: 9401140405
Category : Philosophy
Languages : en
Pages : 273

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Book Description
Labelled deduction is an approach to providing frameworks for presenting and using different logics in a uniform and natural way by enriching the language of a logic with additional information of a semantic proof-theoretical nature. Labelled deduction systems often possess attractive properties, such as modularity in the way that families of related logics are presented, parameterised proofs of metatheoretic properties, and ease of mechanisability. It is thus not surprising that labelled deduction has been applied to problems in computer science, AI, mathematical logic, cognitive science, philosophy and computational linguistics - for example, formalizing and reasoning about dynamic `state oriented' properties such as knowledge, belief, time, space, and resources.

Automated Reasoning with Analytic Tableaux and Related Methods

Automated Reasoning with Analytic Tableaux and Related Methods PDF Author: Neil V. Murray
Publisher: Springer
ISBN: 3540487549
Category : Computers
Languages : en
Pages : 343

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Book Description
This book constitutes the refereed proceedings of the International Conference on Analytic Tableaux and Related Methods, TABLEAUX'99, held in Saratoga Springs, NY, USA, in June 1999. The volume presents 18 revised full papers and three system descriptions selected from 41 submissions. Also included are system comparisons and abstracts of an invited paper and of two tutorials. All current issues surrounding mechanization of reasoning with tableaux and similar methods are addressed - ranging from theoretical foundations to implementation and systems development and applications, as well as covering a broad variety of logic calculi. As application areas, formal verification of software and computer systems, deductive databases, knowledge representation, and systems diagnosis are covered.

Computational Logic: Logic Programming and Beyond

Computational Logic: Logic Programming and Beyond PDF Author: Antonis C. Kakas
Publisher: Springer
ISBN: 3540456325
Category : Computers
Languages : en
Pages : 638

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Book Description
Alan Robinson This set of essays pays tribute to Bob Kowalski on his 60th birthday, an anniversary which gives his friends and colleagues an excuse to celebrate his career as an original thinker, a charismatic communicator, and a forceful intellectual leader. The logic programming community hereby and herein conveys its respect and thanks to him for his pivotal role in creating and fostering the conceptual paradigm which is its raison d’Œtre. The diversity of interests covered here reflects the variety of Bob’s concerns. Read on. It is an intellectual feast. Before you begin, permit me to send him a brief personal, but public, message: Bob, how right you were, and how wrong I was. I should explain. When Bob arrived in Edinburgh in 1967 resolution was as yet fairly new, having taken several years to become at all widely known. Research groups to investigate various aspects of resolution sprang up at several institutions, the one organized by Bernard Meltzer at Edinburgh University being among the first. For the half-dozen years that Bob was a leading member of Bernard’s group, I was a frequent visitor to it, and I saw a lot of him. We had many discussions about logic, computation, and language.

Neural-Symbolic Cognitive Reasoning

Neural-Symbolic Cognitive Reasoning PDF Author: Artur S. D'Avila Garcez
Publisher: Springer Science & Business Media
ISBN: 3540732462
Category : Computers
Languages : en
Pages : 200

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Book Description
Humans are often extraordinary at performing practical reasoning. There are cases where the human computer, slow as it is, is faster than any artificial intelligence system. Are we faster because of the way we perceive knowledge as opposed to the way we represent it? The authors address this question by presenting neural network models that integrate the two most fundamental phenomena of cognition: our ability to learn from experience, and our ability to reason from what has been learned. This book is the first to offer a self-contained presentation of neural network models for a number of computer science logics, including modal, temporal, and epistemic logics. By using a graphical presentation, it explains neural networks through a sound neural-symbolic integration methodology, and it focuses on the benefits of integrating effective robust learning with expressive reasoning capabilities. The book will be invaluable reading for academic researchers, graduate students, and senior undergraduates in computer science, artificial intelligence, machine learning, cognitive science and engineering. It will also be of interest to computational logicians, and professional specialists on applications of cognitive, hybrid and artificial intelligence systems.

Relation Based Access Control

Relation Based Access Control PDF Author: R. Zhang
Publisher: IOS Press
ISBN: 1614993394
Category : Computers
Languages : en
Pages : 122

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Book Description
This book describes a new model, Relation Based Access Control (RelBAC) to handle the dynamics with full features of a general sense access control system. It is organized as follows: Chapter 2 analyzes the new challenges of the Web 2.0 such as the great dynamics in subjects, objects and in permissions. Chapter 3 lists existing access control models as the state of the art. Chapter 4 describes the RelBAC model and logic. We show the reasoning power of RelBAC in chapter 5. In Chapter 6, the extendibility of RelBAC is studied. Chapters 7 and 8 show applications of two important techniques of Semantic Web, Lightweight Ontologies and Semantic Matching, on the model of RelBAC. We show some evaluation results in Chapter 9. The result of general sense purpose Decription Logic reasoners are not good enough and we are proceeding with research on more efficient reasoning in the near future. Chapter 10 describes the framework for implementing a system based on RelBAC and DL reasoner. We conclude that RelBAC is a natural formal model for the access control problem of Web 2.0 in Chapter 11.

Text, Speech and Dialogue

Text, Speech and Dialogue PDF Author: Vaclav Matousek
Publisher: Springer
ISBN: 3540482393
Category : Technology & Engineering
Languages : en
Pages : 408

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Book Description
This book constitutes the refereed proceedings of the Second International Workshop on Text, Speech and Dialogue, TSD'99, held in Plzen, Czech Republic in September 1999. The 57 revised full papers and 19 posters presented were carefully reviewed and selected for inclusion in the book. The book presents state-of-the-art research and technology in the field of natural language processing with emphasis on text, speech, and spoken dialogue.