Mathematical Aspects Of Logic Programming Semantics
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Mathematical Aspects Of Logic Programming Semantics
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Author : Pascal Hitzler
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Mathematical Aspects Of Logic Programming Semantics written by Pascal Hitzler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Computers categories.
Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.
Mathematical Aspects Of Logic Programming Semantics
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Author : Randi Cohen
language : en
Publisher:
Release Date : 2010
Mathematical Aspects Of Logic Programming Semantics written by Randi Cohen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.
Logic For Computer Scientists
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Author : Uwe Schöning
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-11
Logic For Computer Scientists written by Uwe Schöning 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 2008-01-11 with Mathematics categories.
This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. The classic text is replete with illustrative examples and exercises. It presents applications and themes of computer science research such as resolution, automated deduction, and logic programming in a rigorous but readable way. The style and scope of the work, rounded out by the inclusion of exercises, make this an excellent textbook for an advanced undergraduate course in logic for computer scientists.
The Semantics And Proof Theory Of The Logic Of Bunched Implications
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Author : David J. Pym
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
The Semantics And Proof Theory Of The Logic Of Bunched Implications written by David J. Pym 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 Mathematics categories.
This is a monograph about logic. Specifically, it presents the mathe matical theory of the logic of bunched implications, BI: I consider Bl's proof theory, model theory and computation theory. However, the mono graph is also about informatics in a sense which I explain. Specifically, it is about mathematical models of resources and logics for reasoning about resources. I begin with an introduction which presents my (background) view of logic from the point of view of informatics, paying particular attention to three logical topics which have arisen from the development of logic within informatics: • Resources as a basis for semantics; • Proof-search as a basis for reasoning; and • The theory of representation of object-logics in a meta-logic. The ensuing development represents a logical theory which draws upon the mathematical, philosophical and computational aspects of logic. Part I presents the logical theory of propositional BI, together with a computational interpretation. Part II presents a corresponding devel opment for predicate BI. In both parts, I develop proof-, model- and type-theoretic analyses. I also provide semantically-motivated compu tational perspectives, so beginning a mathematical theory of resources. I have not included any analysis, beyond conjecture, of properties such as decidability, finite models, games or complexity. I prefer to leave these matters to other occasions, perhaps in broader contexts.
Logic Of Domains
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Author : G. Zhang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Logic Of Domains written by G. Zhang 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 Mathematics categories.
This monograph studies the logical aspects of domains as used in de notational semantics of programming languages. Frameworks of domain logics are introduced; these serve as foundations for systematic derivations of proof systems from denotational semantics of programming languages. Any proof system so derived is guaranteed to agree with denotational se mantics in the sense that the denotation of any program coincides with the set of assertions true of it. The study focuses on two categories for dena tational semantics: SFP domains, and the less standard, but important, category of stable domains. The intended readership of this monograph includes researchers and graduate students interested in the relation between semantics of program ming languages and formal means of reasoning about programs. A basic knowledge of denotational semantics, mathematical logic, general topology, and category theory is helpful for a full understanding of the material. Part I SFP Domains Chapter 1 Introduction This chapter provides a brief exposition to domain theory, denotational se mantics, program logics, and proof systems. It discusses the importance of ideas and results on logic and topology to the understanding of the relation between denotational semantics and program logics. It also describes the motivation for the work presented by this monograph, and how that work fits into a more general program. Finally, it gives a short summary of the results of each chapter. 1. 1 Domain Theory Programming languages are languages with which to perform computa tion.
Foundations Of Probabilistic Logic Programming
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Author : Fabrizio Riguzzi
language : en
Publisher: River Publishers
Release Date : 2018-09-01
Foundations Of Probabilistic Logic Programming written by Fabrizio Riguzzi and has been published by River Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-01 with Computers categories.
Probabilistic Logic Programming extends Logic Programming by enabling the representation of uncertain information. Probabilistic Logic Programming is at the intersection of two wider research fields: the integration of logic and probability and Probabilistic Programming. Logic enables the representation of complex relations among entities while probability theory is useful for model uncertainty over attributes and relations. Combining the two is a very active field of study. Probabilistic Programming extends programming languages with probabilistic primitives that can be used to write complex probabilistic models. Algorithms for the inference and learning tasks are then provided automatically by the system. Probabilistic Logic programming is at the same time a logic language, with its knowledge representation capabilities, and a Turing complete language, with its computation capabilities, thus providing the best of both worlds. Since its birth, the field of Probabilistic Logic Programming has seen a steady increase of activity, with many proposals for languages and algorithms for inference and learning. Foundations of Probabilistic Logic Programming aims at providing an overview of the field with a special emphasis on languages under the Distribution Semantics, one of the most influential approaches. The book presents the main ideas for semantics, inference, and learning and highlights connections between the methods. Many examples of the book include a link to a page of the web application http://cplint.eu where the code can be run online.
Mathematical Logic Through Python
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Author : Yannai A. Gonczarowski
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-15
Mathematical Logic Through Python written by Yannai A. Gonczarowski 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 2022-09-15 with Computers categories.
A unique approach to mathematical logic where students implement the underlying concepts and proofs in the Python programming language.
Natural Language Processing
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Author : Epaminondas Kapetanios
language : en
Publisher: CRC Press
Release Date : 2013-11-14
Natural Language Processing written by Epaminondas Kapetanios and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-14 with Computers categories.
This book introduces the semantic aspects of natural language processing and its applications. Topics covered include: measuring word meaning similarity, multi-lingual querying, and parametric theory, named entity recognition, semantics, query language, and the nature of language. The book also emphasizes the portions of mathematics needed to under
Computability Theory Semantics And Logic Programming
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Author : Melvin Fitting
language : en
Publisher: Oxford University Press, USA
Release Date : 1987
Computability Theory Semantics And Logic Programming written by Melvin Fitting and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Biography & Autobiography categories.
This book describes computability theory and provides an extensive treatment of data structures and program correctness. The author covers topics of current interest, such as the logic programming language PROLOG and its relation to the LISP type of language.
Reasoning Web Semantic Technologies For The Web Of Data
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Author : Axel Polleres
language : en
Publisher: Springer
Release Date : 2011-08-09
Reasoning Web Semantic Technologies For The Web Of Data written by Axel Polleres and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-09 with Computers categories.
The Semantic Web aims at enriching the existing Web with meta-data and processing methods so as to provide web-based systems with advanced capabilities, in particular with context awareness and decision support. The objective of this book is to provide a coherent introduction to semantic web methods and research issues with a particular emphasis on reasoning. The 7th reasoning web Summer School, held in August 2011, focused on the central topic of applications of reasoning for the emerging “Web of Data”. The 12 chapters in the present book provide excellent educational material as well as a number of references for further reading. The book not only addresses students working in the area, but also those seeking an entry point to various topics related to reasoning over Web data.