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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 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.
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 Logics and Models of Concurrent Systems by : Krzysztof R. Apt
Download or read book Logics and Models of Concurrent Systems written by Krzysztof R. Apt and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cooperation test [Apt, Francez & de Roever] was originally conceived to capture the proof theoretical analogue of distributed message exchange between disjoint processes, as opposed to the interference freedom test [Owicki & Gries], being the proof theoretical analogue of concurrent communication by means of interference through jointly shared variables. Some authors ([Levin & Gries, Lamport & Schneider, Schlichting and Schneider]) stress that both forms of communication can be proof theoretically characterized using interference freedom only, since proofs for both ultimately amount to an invariance proof of a big global assertion [Ashcroft], invariance of whose parts amounts to interference freedom. Yet I feel that the characteristic nature of the cooperation test is still preserved in the analysis of these authors, because in their analysis of CSP the part dealing with interference freedom specializes to maintenance of a global invariant, the expression of which requires per process the introduction of auxiliary variables which are updated in that process only, thus preserving the concept of disjointness (as opposed to sharing), since now all variables from different processes are disjoint. The cooperation test has been applied to characterize concurrent communication as occurring in Hoare's Communicating Sequential Processes (CSP) [Hoare 2], Ichbiah's ADA [ARM], and Brinch Hansen's Distributed Processes (DP) [Brinch Hansen]. This characterization has been certified through soundness and completeness proofs [Apt 2, Gerth]. As in the interference freedom test this characterization consists of two stages, a local sequential stage and a global stage.
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 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.
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. This book was released on 2003-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conditionals are omnipresent, in everyday life as well as in scientific environments; they represent generic knowledge acquired inductively or learned from books. They tie a flexible and highly interrelated network of connections along which reasoning is possible and which can be applied to different situations. Therefore, conditionals are important, but also quite problematic objects in knowledge representation. This book presents a new approach to conditionals which captures their dynamic, non-proportional nature particularly well by considering conditionals as agents shifting possible worlds in order to establish relationships and beliefs. This understanding of conditionals yields a rich theory which makes complex interactions between conditionals transparent and operational. Moreover,it provides a unifying and enhanced framework for knowledge representation, nonmonotonic reasoning, belief revision,and even for knowledge discovery.
Book Synopsis Bridges from Classical to Nonmonotonic Logic by : David Makinson
Download or read book Bridges from Classical to Nonmonotonic Logic written by David Makinson and published by College Publications. This book was released on 2005 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagine a robot trying to size up a difficult situation, to find a way of responding. Its sensors receive streams of information from which it tries to reach judgements. If it relies on deduction alone, it will not get far, no matter how fast its inference engines; for even the most massive information is still typically incomplete: there are relevant issues that it does not resolve one way or the other. The robot, or human agent for that matter, needs to go beyond these limits. It needs to `go supraclassical', inferring more than is authorised by classical logic alone. But such inferences are inherently uncertain. They are also nonmonotonic, in the sense that the acquisition of further information, even when consistent with the existing stock, may lead us to abondon as well as add conclusions. Nonmonotonic logic is the study of such reasoning and has been the subject of intensive research for more than two decades. But for the newcomer it is still a disconcerting affair, lacking unity with many systems going in different directions. The purpose of this book is to take the mystery out of the subject, giving a clear overall picture of what is going on. It makes the essential ideas and main approaches to nonmonotonic logic accessible, and meaningful, to anyone with a few basic tools of discrete mathematics and a minimal background in classical propositional logic. It is written as a textbook, with detailed explanations, examples, comments, exercises and answers. Students and instructors alike will find it an invaluable guide.
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.
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 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 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.
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.
