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 Deductive Systems

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

Get Book

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 Deductive Systems

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

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Book Description


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.

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 Non-Classical Logics

Labelled Non-Classical Logics PDF Author: Luca ViganĂ²
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.

Situation Theory and Its Applications: Volume 3

Situation Theory and Its Applications: Volume 3 PDF Author: Robin Cooper
Publisher: Center for the Study of Language (CSLI)
ISBN: 9781881526087
Category : Computers
Languages : en
Pages : 436

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Book Description
Situation theory is the result of an interdisciplinary effort to create a full-fledged theory of information. Created by scholars and scientists from cognitive science, computer science and AI, linguistics, logic, philosophy, and mathematics, it aims to provide a common set of tools for the analysis of phenomena from all these fields. Unlike Shannon-Weaver type theories of information, which are purely quantitative theories, situation theory aims at providing tools for the analysis of the specific content of a situation (signal, message, data base, statement, or other information-carrying situation). The question addressed is not how much information is carried, but what information is carried.

Frontiers of Combining Systems

Frontiers of Combining Systems PDF Author: F. Baader
Publisher: Springer Science & Business Media
ISBN: 9400903499
Category : Computers
Languages : en
Pages : 392

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Book Description
- Donation refusal is high in all the regions of Argentina. - The deficient operative structure is a negative reality that allows inadequate donor maintenance and organ procurement. - In more developed regions, there are a high number of organs which are not utilized. This is true for heart, liver and lungs. Small waiting lists for these organs probably reflect an inadequate economic coverage for these organ transplant activities. - There is a long waiting list for cadaveric kidney transplants, which reflect poor procurement and transplant activity. - Lack of awareness by many physicians leads to the denouncing of brain deaths. In spite of these factors, we can say that there has been a significant growth in organ procuration and transplantation in 1993, after the regionalization of the INCUCAI. Conclusions Is there a shortage of organs in Argentina? There may be. But the situation in Argentina differs from that in Europe, as we have a pool of organs which are not utilized (donation refusal, operational deficits, lack of denouncing of brain deaths). Perhaps, in the future, when we are able to make good use of all the organs submitted for transplantation, we will be able to say objectively whether the number of organs is sufficient or not. Acknowledgements I would like to thank the University of Lyon and the Merieux Foundation, especially Professors Traeger, Touraine and Dr. Dupuy for the honour of being invited to talk about the issue of organ procurement.

Natural Deduction, Hybrid Systems and Modal Logics

Natural Deduction, Hybrid Systems and Modal Logics PDF Author: Andrzej Indrzejczak
Publisher: Springer Science & Business Media
ISBN: 9048187850
Category : Philosophy
Languages : en
Pages : 515

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Book Description
This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.

Fibring Logics

Fibring Logics PDF Author: Dov M. Gabbay
Publisher: Clarendon Press
ISBN: 019159010X
Category : Mathematics
Languages : en
Pages : 494

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Book Description
Modern applications of logic, in mathematics, theoretical computer science, and linguistics, require combined systems involving many different logics working together. In this book the author offers a basic methodology for combining-or fibring-systems. This means that many existing complex systems can be broken down into simpler components, hence making them much easier to manipulate. Using this methodology the book discusses ways of obtaining a wide variety of multimodal, modal intuitionistic, modal substructural and fuzzy systems in a uniform way. It also covers self-fibred languages which allow formulae to apply to themselves. The book also studies sufficient conditions for transferring properties of the component logics into properties of the combined system.

Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems

Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems PDF Author: Igor V. Lerner
Publisher: Springer Science & Business Media
ISBN: 9781402007491
Category : Science
Languages : en
Pages : 1200

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Book Description
The physics of strongly correlated fermions and bosons in a disordered envi ronment and confined geometries is at the focus of intense experimental and theoretical research efforts. Advances in material technology and in low temper ature techniques during the last few years led to the discoveries of new physical of atomic gases and a possible metal phenomena including Bose condensation insulator transition in two-dimensional high mobility electron structures. Situ ations were the electronic system is so dominated by interactions that the old concepts of a Fermi liquid do not necessarily make a good starting point are now routinely achieved. This is particularly true in the theory of low dimensional systems such as carbon nanotubes, or in two dimensional electron gases in high mobility devices where the electrons can form a variety of new structures. In many of these sys tems disorder is an unavoidable complication and lead to a host of rich physical phenomena. This has pushed the forefront of fundamental research in condensed matter towards the edge where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to the understand ing of novel phenomena.