Labelled Deduction
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Labelled Deduction
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Author : David Basin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Labelled Deduction written by David Basin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
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.
Labelled Non Classical Logics
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Author : Luca Viganò
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Labelled Non Classical Logics written by Luca Viganò and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Philosophy categories.
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.
The Functional Interpretation Of Logical Deduction
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Author : Anjolina G. de Oliveira
language : en
Publisher: World Scientific
Release Date : 2012
The Functional Interpretation Of Logical Deduction written by Anjolina G. de Oliveira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.
This comprehensive book provides an adequate framework to establish various calculi of logical inference. Being an OCyenrichedOCO system of natural deduction, it helps to formulate logical calculi in an operational manner. By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, it allows mathematical foundations for systems of logic presentation designed to handle meta-level features at the object-level via a labelling mechanism, such as the D Gabbay's Labelled Deductive Systems. The book truly demonstrates that introducing OCylabelsOCO is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.
Logic Language And Reasoning
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Author : Hans Jürgen Ohlbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Logic Language And Reasoning written by Hans Jürgen Ohlbach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
th This volume is dedicated to Dov Gabbay who celebrated his 50 birthday in October 1995. Dov is one of the most outstanding and most productive researchers we have ever met. He has exerted a profound influence in major fields of logic, linguistics and computer science. His contributions in the areas of logic, language and reasoning are so numerous that a comprehensive survey would already fill half of this book. Instead of summarizing his work we decided to let him speak for himself. Sitting in a car on the way to Amsterdam airport he gave an interview to Jelle Gerbrandy and Anne-Marie Mineur. This recorded conversation with him, which is included gives a deep insight into his motivations and into his view of the world, the Almighty and, of course, the role of logic. In addition, this volume contains a partially annotated bibliography of his main papers and books. The length of the bibliography and the broadness of the topics covered there speaks for itself.
Hybrid Logic And Its Proof Theory
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Author : Torben Braüner
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-17
Hybrid Logic And Its Proof Theory written by Torben Braüner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-17 with Philosophy categories.
This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a series of statements about what happens at specific times. There is little consensus about proof-theory for ordinary modal logic. Many modal-logical proof systems lack important properties and the relationships between proof systems for different modal logics are often unclear. In the present book we demonstrate that hybrid-logical proof-theory remedies these deficiencies by giving a spectrum of well-behaved proof systems (natural deduction, Gentzen, tableau, and axiom systems) for a spectrum of different hybrid logics (propositional, first-order, intensional first-order, and intuitionistic).
Agenda Relevance A Study In Formal Pragmatics
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Author :
language : en
Publisher: Elsevier
Release Date : 2003-05-29
Agenda Relevance A Study In Formal Pragmatics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-29 with Computers categories.
Agenda Relevance is the first volume in the authors' omnibus investigation ofthe logic of practical reasoning, under the collective title, A Practical Logicof Cognitive Systems. In this highly original approach, practical reasoning isidentified as reasoning performed with comparatively few cognitive assets,including resources such as information, time and computational capacity. Unlikewhat is proposed in optimization models of human cognition, a practical reasonerlacks perfect information, boundless time and unconstrained access tocomputational complexity. The practical reasoner is therefore obliged to be acognitive economizer and to achieve his cognitive ends with considerableefficiency. Accordingly, the practical reasoner avails himself of variousscarce-resource compensation strategies. He also possesses neurocognitivetraits that abet him in his reasoning tasks. Prominent among these is thepractical agent's striking (though not perfect) adeptness at evading irrelevantinformation and staying on task. On the approach taken here, irrelevancies areimpediments to the attainment of cognitive ends. Thus, in its most basic sense,relevant information is cognitively helpful information. Information can then besaid to be relevant for a practical reasoner to the extent that it advances orcloses some cognitive agenda of his. The book explores this idea with aconceptual detail and nuance not seen the standard semantic, probabilistic andpragmatic approaches to relevance; but wherever possible, the authors seek tointegrate alternative conceptions rather than reject them outright. A furtherattraction of the agenda-relevance approach is the extent to which its principalconceptual findings lend themselves to technically sophisticated re-expressionin formal models that marshal the resources of time and action logics andlabel led deductive systems. Agenda Relevance is necessary reading for researchers in logic, beliefdynamics, computer science, AI, psychology and neuroscience, linguistics,argumentation theory, and legal reasoning and forensic science, and will repaystudy by graduate students and senior undergraduates in these same fields.Key features:• relevance • action and agendas • practical reasoning • belief dynamics • non-classical logics • labelled deductive systems
Basic Simple Type Theory
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Author : J. Roger Hindley
language : en
Publisher: Cambridge University Press
Release Date : 1997
Basic Simple Type Theory written by J. Roger Hindley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. By concentrating on the principles that make the theory work in practice, the author covers all the key ideas without getting involved in the complications of more advanced systems. This book takes a type-assignment approach to type theory, and the system considered is the simplest polymorphic one. The author covers all the basic ideas, including the system's relation to propositional logic, and gives a careful treatment of the type-checking algorithm that lies at the heart of every such system. Also featured are two other interesting algorithms that until now have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making it the first book at this level that can be used as an introduction to type theory for computer scientists.
Computational Logic
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Author : Dov M. Gabbay
language : en
Publisher: Newnes
Release Date : 2014-12-09
Computational Logic written by Dov M. Gabbay and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-09 with Mathematics categories.
Handbook of the History of Logic brings to the development of logic the best in modern techniques of historical and interpretative scholarship. Computational logic was born in the twentieth century and evolved in close symbiosis with the advent of the first electronic computers and the growing importance of computer science, informatics and artificial intelligence. With more than ten thousand people working in research and development of logic and logic-related methods, with several dozen international conferences and several times as many workshops addressing the growing richness and diversity of the field, and with the foundational role and importance these methods now assume in mathematics, computer science, artificial intelligence, cognitive science, linguistics, law and many engineering fields where logic-related techniques are used inter alia to state and settle correctness issues, the field has diversified in ways that even the pure logicians working in the early decades of the twentieth century could have hardly anticipated. Logical calculi, which capture an important aspect of human thought, are now amenable to investigation with mathematical rigour and computational support and fertilized the early dreams of mechanised reasoning: "Calculemus. The Dartmouth Conference in 1956 – generally considered as the birthplace of artificial intelligence – raised explicitly the hopes for the new possibilities that the advent of electronic computing machinery offered: logical statements could now be executed on a machine with all the far-reaching consequences that ultimately led to logic programming, deduction systems for mathematics and engineering, logical design and verification of computer software and hardware, deductive databases and software synthesis as well as logical techniques for analysis in the field of mechanical engineering. This volume covers some of the main subareas of computational logic and its applications. - Chapters by leading authorities in the field - Provides a forum where philosophers and scientists interact - Comprehensive reference source on the history of logic
Fundamentals Of Eu Vat Law
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Author : Frank Nellen
language : en
Publisher: Kluwer Law International B.V.
Release Date : 2020-08-19
Fundamentals Of Eu Vat Law written by Frank Nellen and has been published by Kluwer Law International B.V. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-19 with Law categories.
Parties to cross-border disputes arising anywhere in the vast Portuguese-speaking world – a community of more than 230 million in a space that offers a wide array of investment opportunities across four continents – increasingly seek Portugal as their preferred seat of arbitration. A signatory to all relevant international conventions, Portugal has proven to be an ‘arbitration-friendly’ jurisdiction. This volume is the first and so far only book in English that provides a thorough, in-depth analysis of international arbitration law and practice in Portugal. Its contributing authors are among the most highly regarded legal names in the country, including scholars, arbitrators, and practitioners. The authors describe how international arbitration proceedings are conducted in Portugal, what cautions should be taken, and what procedural strategies may be suitable in particular cases. They provide insightful answers to questions such as the following: What matters can be submitted to arbitration under Portuguese law? What are the validity requirements for an arbitration agreement? How do the State courts interact with arbitration proceedings and what is the attitude of such courts toward international arbitration? What are the rules governing evidentiary matters in arbitration? How is an arbitration tribunal constituted? How are arbitrators appointed? How may they be challenged? How can an international arbitral award be recognized and enforced? How does the Portuguese legal system address the issue of damages and what specific damages are admitted? How are the costs of arbitration proceedings estimated and allocated? The book includes analyses of arbitration related to specific fields of the law, notably sports, administrative, tax, intellectual property rights (especially regarding reference and generic medicines), and corporate disputes. Each chapter provides, for the topics it addresses, an examination of the applicable laws, rules, arbitration practice, and views taken by arbitral tribunals and state courts as well as those of the most highly considered scholars. As a detailed examination of the legal framework and of all procedural steps of an arbitration in Portugal, from the drafting of an arbitration agreement to the enforcement of an award, this book constitutes an invaluable resource for parties involved in or considering an international arbitration in this country. The guidance that it seeks to provide in respect of any problem likely to arise in this context can be useful to arbitrators, judges, academics, and interested lawyers.
Advanced Topics In Artificial Intelligence
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Author : John K. Slaney
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-10-07
Advanced Topics In Artificial Intelligence written by John K. Slaney and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-07 with Computers categories.
This book constitutes the refereed proceedings of the 10th Australian Joint Conference on Artificial Intelligence, AI'97, held in Perth, Australia, in November/December 1997. The volume presents 48 revised full papers selected from a total of 143 submissions. Also included are three keynote talks and one invited paper. The book is divided into topical sections on constraint satisfaction and scheduling, computer vision, distributed AI, evolutionary computing, knowledge-based systems, knowledge representation and reasoning, learning and machine vision, machine learning, NLP and user modeling, neural networks, robotics and machine recognition, and temporal qualitative reasoning.