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Non Monotonic Logic
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Book Synopsis Nonmonotonic Reasoning by : Grigoris Antoniou
Download or read book Nonmonotonic Reasoning written by Grigoris Antoniou and published by MIT Press. This book was released on 1997 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonmonotonic reasoning provides formal methods that enable intelligent systems to operate adequately when faced with incomplete or changing information. In particular, it provides rigorous mechanisms for taking back conclusions that, in the presence of new information, turn out to be wrong and for deriving new, alternative conclusions instead. Nonmonotonic reasoning methods provide rigor similar to that of classical reasoning; they form a base for validation and verification and therefore increase confidence in intelligent systems that work with incomplete and changing information. Following a brief introduction to the concepts of predicate logic that are needed in the subsequent chapters, this book presents an in depth treatment of default logic. Other subjects covered include the major approaches of autoepistemic logic and circumscription, belief revision and its relationship to nonmonotonic inference, and briefly, the stable and well-founded semantics of logic programs.
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 Nonmonotonic Logic by : V. Wiktor Marek
Download or read book Nonmonotonic Logic written by V. Wiktor Marek and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: When I first participated in exploring theories of nonmonotonic reasoning in the late 1970s, I had no idea of the wealth of conceptual and mathematical results that would emerge from those halting first steps. This book by Wiktor Marek and Miroslaw Truszczynski is an elegant treatment of a large body of these results. It provides the first comprehensive treatment of two influen tial nonmonotonic logics - autoepistemic and default logic - and describes a number of surprising and deep unifying relationships between them. It also relates them to various modal logics studied in the philosophical logic litera ture, and provides a thorough treatment of their applications as foundations for logic programming semantics and for truth maintenance systems. It is particularly appropriate that Marek and Truszczynski should have authored this book, since so much of the research that went into these results is due to them. Both authors were trained in the Polish school of logic and they bring to their research and writing the logical insights and sophisticated mathematics that one would expect from such a background. I believe that this book is a splendid example of the intellectual maturity of the field of artificial intelligence, and that it will provide a model of scholarship for us all for many years to come. Ray Reiter Department of Computer Science University of Toronto Toronto, Canada M5S 1A4 and The Canadian Institute for Advanced Research Table of Contents 1 1 Introduction .........
Book Synopsis A Logical Theory of Nonmonotonic Inference and Belief Change by : Alexander Bochman
Download or read book A Logical Theory of Nonmonotonic Inference and Belief Change written by Alexander Bochman and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book that integrates nonmonotonic reasoning and belief change into a single framework from an artificial intelligence logic point-of-view. The approach to both these subjects is based on a powerful notion of an epistemic state that subsumes both existing models for nonmonotonic inference and current models for belief change. Many results and constructions in the book are completely new and have not appeared earlier in the literature.
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:
Book Synopsis Logic Programming and Non-Monotonic Reasoning by : Lua-S Moniz Pereira
Download or read book Logic Programming and Non-Monotonic Reasoning written by Lua-S Moniz Pereira and published by MIT Press. This book was released on 1993 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second in a series of workshops that are bringing together researchers from the theoretical end of both the logic programming and artificial intelligence communities to discuss their mutual interests. This workshop emphasizes the relationship between logic programming and non-monotonic reasoning.Luis' Moniz Pereira is Professor in the Department of Computer Science at the Universidade Nova Lisboa, Portugal. Anil Nerode is Professor and Director of the Mathematical Sciences Institute at Cornell University.Topics include: Stable Semantics. Autoepistemic Logic. Abduction. Implementation Issues. Well-founded Semantics. Truth Maintenance. Probabilistic Theories. Applications. Default Logic. Diagnosis. Complexity and Theory. Handling Inconsistency.
Book Synopsis Nonmonotonic Reasoning by : Gerhard Brewka
Download or read book Nonmonotonic Reasoning written by Gerhard Brewka and published by Stanford Univ Center for the Study. This book was released on 1997-01-01 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonmonotonic reasoning in its broadest sense is reasoning to conclusions on the basis of incomplete information. Given more information, previously drawn inferences may be retracted. Commonsense reasoning has a nonmonotonic component; it has been argued that almost all commonsense inferences are of this sort. From the end of the 1980s to the present there has been an explosion in research in nonmonotonic reasoning. It is now possible to understand more clearly the properties of the major formalisms from a metatheoretical point of view, the relationships among the formalisms and their connection to independently developed proof methods. The goal of this monograph is to make this understanding more accessible.
Author :Gabriele Kern-Isberner Publisher :Springer Science & Business Media ISBN 13 :3540423672 Total Pages :194 pages Book Rating :4.5/5 (44 download)
Book Synopsis Conditionals in Nonmonotonic Reasoning and Belief Revision by : Gabriele Kern-Isberner
Download or read book Conditionals in Nonmonotonic Reasoning and Belief Revision written by Gabriele Kern-Isberner and published by Springer Science & Business Media. This book was released on 2001-07-25 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers lymphoproliferative disorders in patients with congenital or acquired immunodeficiencies. Acquired immunodeficiencies are caused by infections with the human immunodeficiency virus or arise following immunosuppressive therapy administered after organ transplantation or to treat connective tissue diseases such as rheumatoid arthritis. It was recently discovered that various diseases or therapeutic modalities that induce a state of immunosuppression may cause virally driven lymphoproliferations. This book summarizes for the first time this group of immunodeficiency-associated lymphoproliferations.
Book Synopsis Logic Programming and Non-monotonic Reasoning by : Luís Moniz Pereira
Download or read book Logic Programming and Non-monotonic Reasoning written by Luís Moniz Pereira and published by . This book was released on 1993 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second in a series of workshops that are bringing together researchersfrom the theoretical end of both the logic programming and artificial intelligence communities todiscuss their mutual interests. This workshop emphasizes the relationship between logic programmingand non-monotonic reasoning.Luis' Moniz Pereira is Professor in the Department of Computer Scienceat the Universidade Nova Lisboa, Portugal. Anil Nerode is Professor and Director of the MathematicalSciences Institute at Cornell University.Topics include: Stable Semantics. Autoepistemic Logic.Abduction. Implementation Issues. Well-founded Semantics. Truth Maintenance. Probabilistic Theories.Applications. Default Logic. Diagnosis. Complexity and Theory. Handling Inconsistency.
Book Synopsis Non-monotonic Reasoning and Partial Semantics by : Wiebe Hoek
Download or read book Non-monotonic Reasoning and Partial Semantics written by Wiebe Hoek and published by Prentice Hall. This book was released on 1992 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stressing partial and multiple-valued approaches to non-monotonic logic, this volume demonstrates how major problems can be overcome. It proposes a simple modal framework in which non-monotonic reasoning is captured in a dynamic setting.
Book Synopsis Logic Programming and Non-Monotonic Reasoning by : Lua-S Moniz Pereira
Download or read book Logic Programming and Non-Monotonic Reasoning written by Lua-S Moniz Pereira and published by MIT Press. This book was released on 1993 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second in a series of workshops that are bringing together researchers from the theoretical end of both the logic programming and artificial intelligence communities to discuss their mutual interests. This workshop emphasizes the relationship between logic programming and non-monotonic reasoning.Luis' Moniz Pereira is Professor in the Department of Computer Science at the Universidade Nova Lisboa, Portugal. Anil Nerode is Professor and Director of the Mathematical Sciences Institute at Cornell University.Topics include: Stable Semantics. Autoepistemic Logic. Abduction. Implementation Issues. Well-founded Semantics. Truth Maintenance. Probabilistic Theories. Applications. Default Logic. Diagnosis. Complexity and Theory. Handling Inconsistency.
Book Synopsis Readings in Nonmonotonic Reasoning by : Matthew L. Ginsberg
Download or read book Readings in Nonmonotonic Reasoning written by Matthew L. Ginsberg and published by Morgan Kaufmann Publishers. This book was released on 1987 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Explanatory Nonmonotonic Reasoning by : Alexander Bochman
Download or read book Explanatory Nonmonotonic Reasoning written by Alexander Bochman and published by World Scientific. This book was released on 2005 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many approaches in the field of nonmonotonic and ?commonsense? reasoning are actually different representations of the same basic ideas and constructions. This book gives a logical formalization of the original, explanatory approach to nonmonotonic reasoning. It uses the basic formalism of biconsequence relations, as well as derived systems of default, autoepistemic and causal inference, to cover in a single framework such diverse systems as default logic, autoepistemic and modal nonmonotonic logics, input/output and causal logics, argumentation theory, and semantics of general logic programs with negation as failure. This approach provides a clear separation between logical (monotonic) and nonmonotonic aspects of nonmonotonic reasoning. The separation allows, in particular, to single out the logics underlying modern logic programming and restore thereby the connection between logic programming and logic.
Book Synopsis Non Monotonic Logic by : Fouad Sabry
Download or read book Non Monotonic Logic written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2023-06-26 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: What Is Non Monotonic Logic A formal logic is said to be non-monotonic if its conclusion connection does not follow a monotonic pattern. In other words, the purpose of non-monotonic logics is to capture and represent defeasible inferences. This refers to a type of inference in which reasoners form tentative conclusions, which allows reasoners to retract their conclusion(s) based on future data. Non-monotonic logics are designed to do this.The vast majority of formal logics that have been examined have a monotonic entailment relation, which indicates that the addition of a formula to a theory does not result in the trimming of its set of conclusions. Intuitively, the concept of monotonicity suggests that acquiring new information does not have the potential to narrow the scope of what is already known. A monotonic logic is incapable of handling a variety of reasoning tasks, including reasoning by default, abductive reasoning, key approaches to reasoning about knowledge, and belief revision. How You Will Benefit (I) Insights, and validations about the following topics: Chapter 1: Non-monotonic logic Chapter 2: Abductive reasoning Chapter 3: Deductive reasoning Chapter 4: Inductive reasoning Chapter 5: Default logic Chapter 6: Belief revision Chapter 7: Defeasible reasoning Chapter 8: Defeasible logic Chapter 9: Abductive logic programming Chapter 10: Logic (II) Answering the public top questions about non monotonic logic. (III) Real world examples for the usage of non monotonic logic in many fields. (IV) 17 appendices to explain, briefly, 266 emerging technologies in each industry to have 360-degree full understanding of non monotonic logic' technologies. Who This Book Is For Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of non monotonic logic.
Book Synopsis Non-monotonic Reasoning by : Michael Reinfrank
Download or read book Non-monotonic Reasoning written by Michael Reinfrank and published by . This book was released on 1989 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture notes in artificial intelligence is a subseries of... computer science and has not been given a separate numbering system. This is the proceedings of the Second International Workshop, Grassau, FRG, June 1988. Not indexed. Annotation copyright Book News, Inc. Portland, Or.
Download or read book Belief Change written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Belief change is an emerging field of artificial intelligence and information science dedicated to the dynamics of information and the present book provides a state-of-the-art picture of its formal foundations. It deals with the addition, deletion and combination of pieces of information and, more generally, with the revision, updating and fusion of knowledge bases. The book offers an extensive coverage of, and seeks to reconcile, two traditions in the kinematics of belief that often ignore each other - the symbolic and the numerical (often probabilistic) approaches. Moreover, the work encompasses both revision and fusion problems, even though these two are also commonly investigated by different communities. Finally, the book presents the numerical view of belief change, beyond the probabilistic framework, covering such approaches as possibility theory, belief functions and convex gambles. The work thus presents a unified view of belief change operators, drawing from a widely scattered literature embracing philosophical logic, artificial intelligence, uncertainty modelling and database systems. The material is a clearly organised guide to the literature on the dynamics of epistemic states, knowledge bases and uncertain information, suitable for scholars and graduate students familiar with applied logic, knowledge representation and uncertain reasoning.
Book Synopsis Nonmonotonic Reasoning by : Gerhard Brewka
Download or read book Nonmonotonic Reasoning written by Gerhard Brewka and published by . This book was released on 2011 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of the seminal special issue on nonmonotonic logics by the Artificial Intelligence Journal in 1980 resulted in a new area of research in knowledge representation and changed the mainstream paradigm of logic that originated in antiquity. It led to discoveries of connections between logic, knowledge representation and computation, and attracted not only computer scientists but also logicians, mathematicians and philosophers. Nonmonotonic reasoning concerns situations when information is incomplete or uncertain. Thus, conclusions drawn lack iron-clad certainty that comes with classical logic reasoning. New information, even if the original one is retained, may change conclusions. Formal ways to capture mechanisms involved in nonmonotonic reasoning, and to exploit them for computation as in the answer set programming paradigm are at the heart of this research area. The conference NonMon@30 - Thirty Years of Nonmonotonic Reasoning, held in Lexington, KY, USA, October 22-25, 2010, aimed to sum up the experience of the first 30 years of nonmonotonic logics and to map paths into the future. It comprised eighteen invited talks and several technical presentations. The present volume consists of the texts based on twelve of the invited presentations. These papers offer unique insights into the key questions that have been driving the development of nonmonotonic reasoning and suggest problems worthy of consideration in the future. They paint the picture of the field that has a well-established tradition, and remains vibrant and relevant to long-term goals of artificial intelligence.