The Logic of Partial Information

The Logic of Partial Information PDF Author: Areski Nait Abdallah
Publisher: Springer Science & Business Media
ISBN: 3642781608
Category : Computers
Languages : en
Pages : 740

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Book Description
One must be able to say at all times - in stead of points, straight lines, and planes - tables, chairs and beer mugs. (David Hilbert) One service mathematics has rendered the human race. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled "discarded nonsense. " (Eric T. Bell) This book discusses reasoning with partial information. We investigate the proof theory, the model theory and some applications of reasoning with par tial information. We have as a goal a general theory for combining, in a principled way, logic formulae expressing partial information, and a logical tool for choosing among them for application and implementation purposes. We also would like to have a model theory for reasoning with partial infor mation that is a simple generalization of the usual Tarskian semantics for classical logic. We show the need to go beyond the view of logic as a geometry of static truths, and to see logic, both at the proof-theoretic and at the model-theoretic level, as a dynamics of processes. We see the dynamics of logic processes bear with classical logic, the same relation as the one existing between classical mechanics and Euclidean geometry.

The Logic of Partial Information

The Logic of Partial Information PDF Author: Areski Nait Abdallah
Publisher: Springer Science & Business Media
ISBN: 3642781608
Category : Computers
Languages : en
Pages : 740

Get Book Here

Book Description
One must be able to say at all times - in stead of points, straight lines, and planes - tables, chairs and beer mugs. (David Hilbert) One service mathematics has rendered the human race. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled "discarded nonsense. " (Eric T. Bell) This book discusses reasoning with partial information. We investigate the proof theory, the model theory and some applications of reasoning with par tial information. We have as a goal a general theory for combining, in a principled way, logic formulae expressing partial information, and a logical tool for choosing among them for application and implementation purposes. We also would like to have a model theory for reasoning with partial infor mation that is a simple generalization of the usual Tarskian semantics for classical logic. We show the need to go beyond the view of logic as a geometry of static truths, and to see logic, both at the proof-theoretic and at the model-theoretic level, as a dynamics of processes. We see the dynamics of logic processes bear with classical logic, the same relation as the one existing between classical mechanics and Euclidean geometry.

Logical Structures for Representation of Knowledge and Uncertainty

Logical Structures for Representation of Knowledge and Uncertainty PDF Author: Ellen Hisdal
Publisher: Physica
ISBN: 3790818879
Category : Mathematics
Languages : en
Pages : 440

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Book Description
It is the business of science not to create laws, but to discover them. We do not originate the constitution of our own minds, greatly as it may be in our power to modify their character. And as the laws of the human intellect do not depend upon our will, so the forms of science, of (1. 1) which they constitute the basis, are in all essential regards independent of individual choice. George Boole [10, p. llJ 1. 1 Comparison with Traditional Logic The logic of this book is a probability logic built on top of a yes-no or 2-valued logic. It is divided into two parts, part I: BP Logic, and part II: M Logic. 'BP' stands for 'Bayes Postulate'. This postulate says that in the absence of knowl edge concerning a probability distribution over a universe or space one should assume 1 a uniform distribution. 2 The M logic of part II does not make use of Bayes postulate or of any other postulates or axioms. It relies exclusively on purely deductive reasoning following from the definition of probabilities. The M logic goes an important step further than the BP logic in that it can distinguish between certain types of information supply sentences which have the same representation in the BP logic as well as in traditional first order logic, although they clearly have different meanings (see example 6. 1. 2; also comments to the Paris-Rome problem of eqs. (1. 8), (1. 9) below).

Symbolic and Quantitative Approaches to Reasoning with Uncertainty

Symbolic and Quantitative Approaches to Reasoning with Uncertainty PDF Author: Thomas D. Nielsen
Publisher: Springer
ISBN: 3540450629
Category : Computers
Languages : en
Pages : 619

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Book Description
The refereed proceedings of the 7th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2003, held in Aalborg, Denmark in July 2003. The 47 revised full papers presented together with 2 invited survey articles were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on foundations of uncertainty concepts, Bayesian networks, algorithms for uncertainty inference, learning, decision graphs, belief functions, fuzzy sets, possibility theory, default reasoning, belief revision and inconsistency handling, logics, and tools.

Mathematical Aspects Of Natural And Formal Languages

Mathematical Aspects Of Natural And Formal Languages PDF Author: Gheorghe Paun
Publisher: World Scientific
ISBN: 9814518158
Category : Computers
Languages : en
Pages : 502

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Book Description
This book contains original reviews by well-known workers in the field of mathematical linguistics and formal language theory, written in honour of Professor Solomon Marcus on the occasion of his 70th birthday.Some of the papers deal with contextual grammars, a class of generative devices introduced by Marcus, motivated by descriptive linguistics. Others are devoted to grammar systems, a very modern branch of formal language theory. Automata theory and the algebraic approach to computer science are other well-represented areas. While the contributions are mathematically oriented, practical issues such as cryptography, grammatical inference and natural language processing are also discussed.

Logical Aspects of Computational Linguistics

Logical Aspects of Computational Linguistics PDF Author: Philippe Blache
Publisher: Springer
ISBN: 3540319530
Category : Computers
Languages : en
Pages : 372

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Book Description
Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book inaugurates the new FoLLI LNAI subline. It constitutes the refereed proceedings of the 5th International Conference on Logical Aspects of Computational Linguistics, LACL 2005, held in Bordeaux, France in April 2005. The 25 revised full papers presented were carefully reviewed and selected from over 40 submissions. The papers address a wide range of logical and formal methods in computational linguistics with studies of particular grammar formalisms and their computational properties, language engineering, and traditional topics about the syntax/semantics interface.

Advanced Topics in Artificial Intelligence

Advanced Topics in Artificial Intelligence PDF Author: Rolf T. Nossum
Publisher: Springer Science & Business Media
ISBN: 9783540506768
Category : Computers
Languages : en
Pages : 250

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Book Description
Organized by: European Coordinating Committee for AI (ECCAI)

Constructing Ambient Intelligence

Constructing Ambient Intelligence PDF Author: Max Mühlhäuser
Publisher: Springer Science & Business Media
ISBN: 3540853790
Category : Computers
Languages : en
Pages : 480

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Book Description
A foreword for the present workshop proceedings cannot be provided without first looking at the larger context of the AMI conference in which the workshops were organized. The AMI 2007 conference has roots in preceding events, but in many respects, AMI can be called a novel conference format and hence a premiere. Among the several aims that inspired and shaped this new conference format, the following two are particularly worth considering: (1) to provide a forum for the ambient intel- gence flavor of research on the Post-PC era of computer science, complementing the ubiquitous computing and pervasive computing flavors emphasized by alrea- existing conferences; (2) to offer an event that attracts contributions from all over the globe yet emphasizes European strengths – with particular reference to the Infor- tion Society Technologies (IST) branch of the EU research framework programs (FPs), which carry the same label as the conference. The workshop organization chairs reflected these unique characteristics of the new AMI conference series in the call for workshop proposals using two corresponding measures: (1) by particularly soliciting workshops on in-depth topics corresponding to the above-mentioned ambient intelligence flavor of Post-PC research; (2) by offering two different workshop threads: one ‘usual’ thread for advanced topics (called “SW workshops”) and one thread for workshops related to concrete EU FP6 and FP7 p- jects (called “EU workshops”).

Semantic Techniques in Quantum Computation

Semantic Techniques in Quantum Computation PDF Author: Simon Gay
Publisher: Cambridge University Press
ISBN: 052151374X
Category : Computers
Languages : en
Pages : 497

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Book Description
Explores quantum computation from the perspective of the branch of theoretical computer science known as semantics.

Networks of Dissolution

Networks of Dissolution PDF Author: Anna Simons
Publisher: Routledge
ISBN: 0429720831
Category : Political Science
Languages : en
Pages : 354

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Book Description
In this penetrating and timely book, Anna Simons documents Somalia's impending slide toward anarchy. How do people react to a failing yet still repressive government? What do they do when the banks run out of cash? How do they cope with unprecedented uncertainty? These are some of the questions Simons addresses as she introduces the reader to Somal

Modeling and Using Context

Modeling and Using Context PDF Author: Paolo Bouquet
Publisher: Springer
ISBN: 3540483152
Category : Computers
Languages : en
Pages : 540

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Book Description
This volume contains the papers presented at the Second International and - terdisciplinary Conference on Modeling and Using Context (CONTEXT’99), held in Trento (Italy) from 9 to 11 September 1999. CONTEXT’99 is the second in the CONTEXT series. The rst was held in Rio de Janeiro (Brazil) in 1997. The CONTEXT conference series is meant to provide an interdisciplinary - rum where researchers can exchange ideas, methodologies, and results on c- text, and is increasingly becoming an important reference for all people doing research on context. This is testi ed by the larger number of research areas that are represented at CONTEXT’99 (in particular, Philosophy and Cognitive Psychology were not signi cantly present at the rst conference), and by the number and quality of submitted papers. Speci cally, we received 118 papers, mostly of good or excellent quality. Among them, 33 (28%) have been accepted as full papers, and 21 as short papers. We think it is fair to say that the 54 papers collected in this volume provide a signi cant picture of the international research on context currently going on. The notion of context plays an important role in many areas, both theoretical and applied, such as Formal Logic, Arti cial Intelligence, Philosophy, Pragm- ics, Computational Linguistics, Computer Science, Cognitive Psychology.