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Domain Theory For Nonmonotonic Functions
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Book Synopsis Domain Theory for Nonmonotonic Functions by : Harvard University. Center for Research in Computing Technology
Download or read book Domain Theory for Nonmonotonic Functions written by Harvard University. Center for Research in Computing Technology and published by . This book was released on 1990 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We prove several lattice theoretical fixpoint theorems based on the classical result of Knaster-Tarski. These theorems give sufficient conditions for a system of generally nonmonotonic functions, [sic] on a complete lattice to define a unique fixpoint. The primary objective of this paper is to develop a domain theoretic framework to study the semantics of general logic programs as well as various rule-based systems where the rules define nonmonotonic functions on lattices."
Book Synopsis Logic Programming and Nonmonotonic Reasoning by : Jürgen Dix
Download or read book Logic Programming and Nonmonotonic Reasoning written by Jürgen Dix and published by Springer Science & Business Media. This book was released on 1997-07-02 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Development and environment problems have reached such alarming proportions that the very survival of humanity is now subject to critical and unprecedented threats. In its latest report, the German Advisory Council on Global Change (WBGU) criticizes Germany's global change research community for its lack of international orientation, its bias towards individual disciplines and for its weaknesses in translating scientific results into a form readily accessible to policymakers. The Council identifies alternatives for restructuring the research landscape, focusing primarily on a new 'Syndrome Approach' for global change research. By applying this tool, scientists can systematically describe and analyze the 'diseases' afflicting the Earth System, and thus elaborate response options.
Book Synopsis Algebraic and Logic Programming by : Helene Kirchner
Download or read book Algebraic and Logic Programming written by Helene Kirchner and published by Springer Science & Business Media. This book was released on 1990-09-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers presented at the Second International Conference on Algebraic and Logic Programming in Nancy, France, October 1-3, 1990.
Book Synopsis Mathematical Theory of Programs by : 伊藤貴康
Download or read book Mathematical Theory of Programs written by 伊藤貴康 and published by 株式会社 三恵社. This book was released on 2010-10 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Defaults in Domain Theory by : Guo-Qiang Zhang
Download or read book Defaults in Domain Theory written by Guo-Qiang Zhang and published by . This book was released on 1994 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Logic of Partial Information by : Areski Nait Abdallah
Download or read book The Logic of Partial Information written by Areski Nait Abdallah and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algebraic and Logic Programming by :
Download or read book Algebraic and Logic Programming written by and published by . This book was released on 1990 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Foundations of Information Flow by : Samson Abramsky
Download or read book Mathematical Foundations of Information Flow written by Samson Abramsky and published by American Mathematical Soc.. This book was released on 2012 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the 2008 Clifford Lectures on Information Flow in Physics, Geometry and Logic and Computation, held March 12-15, 2008, at Tulane University in New Orleans, Louisiana. The varying perspectives of the researchers are evident in the topics represented in the volume, including mathematics, computer science, quantum physics and classical and quantum information. A number of the articles address fundamental questions in quantum information and related topics in quantum physics, using abstract categorical and domain-theoretic models for quantum physics to reason about such systems and to model spacetime. Readers can expect to gain added insight into the notion of information flow and how it can be understood in many settings. They also can learn about new approaches to modeling quantum mechanics that provide simpler and more accessible explanations of quantum phenomena, which don't require the arcane aspects of Hilbert spaces and the cumbersome notation of bras and kets.
Book Synopsis Nonmonotonic Consequence in Default Model Theory by : Guo-Qiang Zhang
Download or read book Nonmonotonic Consequence in Default Model Theory written by Guo-Qiang Zhang and published by . This book was released on 1994 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Updating and Structure in Non-monotonic Theories by : Benjamin Nathan Grosof
Download or read book Updating and Structure in Non-monotonic Theories written by Benjamin Nathan Grosof and published by . This book was released on 1992 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Logic Programming and Nonmonotonic Reasoning by : Esra Erdem
Download or read book Logic Programming and Nonmonotonic Reasoning written by Esra Erdem and published by Springer. This book was released on 2009-08-31 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 10th International Conference on Logic Programming and Nonmonotonic Reasoning (LPNMR 2009), held during September 14–18, 2009 in Potsdam, Germany. LPNMR is a forum for exchanging ideas on declarative logic programming, nonmonotonic reasoning and knowledge representation. The aim of the c- ference is to facilitate interaction between researchers interested in the design and implementation of logic-based programming languages and database s- tems, and researchers who work in the areas of knowledge representation and nonmonotonic reasoning. LPNMR strives to encompass theoretical and expe- mental studies that have led or will lead to the construction of practical systems for declarative programming and knowledge representation. The special theme of LPNMR 2009 was “Applications of Logic Progr- ming and Nonmonotonic Reasoning” in general and “Answer Set Programming (ASP)” in particular. LPNMR 2009 aimed at providing a comprehensive survey of the state of the art of ASP/LPNMR applications. The special theme was re?ected by dedicating an entire dayof the conference to applications. Apart from special sessions devoted to original and signi?cant ASP/LPNMR applications, we solicited contributions providing an overview of existing successful applications of ASP/LPNMR systems. The presentations on applications were accompanied by two panels, one on existing and another on future applications of ASP/LPNMR.
Book Synopsis The Many Valued and Nonmonotonic Turn in Logic by : Dov M. Gabbay
Download or read book The Many Valued and Nonmonotonic Turn in Logic written by Dov M. Gabbay and published by Elsevier. This book was released on 2007-08-13 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor false. On the second, or non-monotonic, approach, constraints are placed on inputs (and sometimes on outputs) of a classical consequence relation, with a view to producing a notion of consequence that serves in a more realistic way the requirements of real-life inference. Many-valued logics produce an interesting problem. Non-bivalent inputs produce classically valid consequence statements, for any choice of outputs. A major task of many-valued logics of all stripes is to fashion an appropriately non-classical relation of consequence.The chief preoccupation of non-monotonic (and default) logicians is how to constrain inputs and outputs of the consequence relation. In what is called “left non-monotonicity , it is forbidden to add new sentences to the inputs of true consequence-statements. The restriction takes notice of the fact that new information will sometimes override an antecedently (and reasonably) derived consequence. In what is called “right non-monotonicity , limitations are imposed on outputs of the consequence relation. Most notably, perhaps, is the requirement that the rule of or-introduction not be given free sway on outputs. Also prominent is the effort of paraconsistent logicians, both preservationist and dialetheic, to limit the outputs of inconsistent inputs, which in classical contexts are wholly unconstrained.In some instances, our two themes coincide. Dialetheic logics are a case in point. Dialetheic logics allow certain selected sentences to have, as a third truth value, the classical values of truth and falsity together. So such logics also admit classically inconsistent inputs. A central task is to construct a right non-monotonic consequence relation that allows for these many-valued, and inconsistent, inputs.The Many Valued and Non-Monotonic Turn in Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science, AI, linguistics, cognitive science, argumentation theory, and the history of ideas. Detailed and comprehensive chapters covering the entire range of modal logic. Contains the latest scholarly discoveries and interprative insights that answers many questions in the field of logic.
Book Synopsis Arnon Avron on Semantics and Proof Theory of Non-Classical Logics by : Ofer Arieli
Download or read book Arnon Avron on Semantics and Proof Theory of Non-Classical Logics written by Ofer Arieli and published by Springer Nature. This book was released on 2021-07-30 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.
Book Synopsis Logic Programming and Nonmonotonic Reasoning by : Vladimir Lifschitz
Download or read book Logic Programming and Nonmonotonic Reasoning written by Vladimir Lifschitz and published by Springer Science & Business Media. This book was released on 2004-02-12 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Logic Programming and Nonmonotonic Reasoning, LPNMR 2004, held in Fort Lauderdale, Florida, USA in January 2004. The 24 revised full papers presented together with 8 system descriptions were carefully reviewed and selected for presentation. Among the topics addressed are declarative logic programming, nonmonotonic reasoning, knowledge representation, combinatorial search, answer set programming, constraint programming, deduction in ontologies, and planning.
Book Synopsis Logic Programming and Non-monotonic Reasoning by :
Download or read book Logic Programming and Non-monotonic Reasoning written by and published by . This book was released on 2004 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Logic Programming and Nonmonotonic Reasoning by : Francesco Calimeri
Download or read book Logic Programming and Nonmonotonic Reasoning written by Francesco Calimeri and published by Springer. This book was released on 2015-09-14 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the refereed proceedings of the 13th International Conference on Logic Programming and Nonmonotonic Reasoning, LPNMR 2015, held in September 2015 in Lexington, KY, USA. The 290long and 11 short papers presented together with 3 invited talks, the paper reporting on the Answer Set Programming competition, and four papers presented by LPNMR student attendees at the doctoral consortium were carefully reviewed and selected from 60 submissions. LPNMR is a forum for exchanging ideas on declarative logic programming, nonmonotonic reasoning, and knowledge representation. The aim of the LPNMR conferences is to facilitate interactions between researchers interested in the design and implementation of logic-based programming languages and database systems, and researchers who work in the areas of knowledge representation and nonmonotonic reasoning.
Book Synopsis Non-monotonic Reasoning by : Witold Łukaszewicz
Download or read book Non-monotonic Reasoning written by Witold Łukaszewicz and published by . This book was released on 1990 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
