Hybrid Logic And Its Proof Theory

Author : Torben Braüner
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 49,7 Mb
Release : 2010-11-17
Category : Philosophy
ISBN : 9789400700024

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Hybrid Logic and its Proof-Theory by Torben Braüner Pdf

This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a series of statements about what happens at specific times. There is little consensus about proof-theory for ordinary modal logic. Many modal-logical proof systems lack important properties and the relationships between proof systems for different modal logics are often unclear. In the present book we demonstrate that hybrid-logical proof-theory remedies these deficiencies by giving a spectrum of well-behaved proof systems (natural deduction, Gentzen, tableau, and axiom systems) for a spectrum of different hybrid logics (propositional, first-order, intensional first-order, and intuitionistic).

Author : Stephan Scheele
Publisher : University of Bamberg Press
Page : 348 pages
File Size : 53,8 Mb
Release : 2015-07-02
Category : Electronic
ISBN : 9783863093204

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Model and Proof Theory of Constructive ALC by Stephan Scheele Pdf

Author : María Manzano,Ildikó Sain,Enrique Alonso
Publisher : Springer
Page : 356 pages
File Size : 52,8 Mb
Release : 2014-10-23
Category : Mathematics
ISBN : 9783319097190

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The Life and Work of Leon Henkin by María Manzano,Ildikó Sain,Enrique Alonso Pdf

This is a comprehensive book on the life and works of Leon Henkin (1921–2006), an extraordinary scientist and excellent teacher whose writings became influential right from the beginning of his career with his doctoral thesis on “The completeness of formal systems” under the direction of Alonzo Church. Upon the invitation of Alfred Tarski, Henkin joined the Group in Logic and the Methodology of Science in the Department of Mathematics at the University of California Berkeley in 1953. He stayed with the group until his retirement in 1991. This edited volume includes both foundational material and a logic perspective. Algebraic logic, model theory, type theory, completeness theorems, philosophical and foundational studies are among the topics covered, as well as mathematical education. The work discusses Henkin’s intellectual development, his relation to his predecessors and contemporaries and his impact on the recent development of mathematical logic. It offers a valuable reference work for researchers and students in the fields of philosophy, mathematics and computer science.

Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 47,6 Mb
Release : 2013-08-04
Category : Philosophy
ISBN : 9789400766006

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Handbook of Philosophical Logic by Dov M. Gabbay,Franz Guenthner Pdf

This second edition of the Handbook of Philosophical Logic reflects great changes in the landscape of philosophical logic since the first edition. It gives readers an idea of that landscape and its relation to computer science and formal language and artificial intelligence. It shows how the increased demand for philosophical logic from computer science and artificial intelligence and computational linguistics accelerated the development of the subject directly and indirectly. This development in turn, directly pushed research forward, stimulated by the needs of applications. New logic areas became established and old areas were enriched and expanded. At the same time, it socially provided employment for generations of logicians residing in computer science, linguistics and electrical engineering departments which of course helped keep the logic community to thrive. The many contributors to this Handbook are active in these application areas and are among the most famous leading figures of applied philosophical logic of our times. ​

Author : Nicolas Peltier,Viorica Sofronie-Stokkermans
Publisher : Springer Nature
Page : 553 pages
File Size : 42,9 Mb
Release : 2020-06-30
Category : Mathematics
ISBN : 9783030510749

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Automated Reasoning by Nicolas Peltier,Viorica Sofronie-Stokkermans Pdf

This two-volume set LNAI 12166 and 12167 constitutes the refereed proceedings of the 10th International Joint Conference on Automated Reasoning, IJCAR 2020, held in Paris, France, in July 2020.* In 2020, IJCAR was a merger of the following leading events, namely CADE (International Conference on Automated Deduction), FroCoS (International Symposium on Frontiers of Combining Systems), ITP (International Conference on Interactive Theorem Proving), and TABLEAUX (International Conference on Analytic Tableaux and Related Methods). The 46 full research papers, 5 short papers, and 11 system descriptions presented together with two invited talks were carefully reviewed and selected from 150 submissions. The papers focus on the following topics: Part I: SAT; SMT and QBF; decision procedures and combination of theories; superposition; proof procedures; non classical logics Part II: interactive theorem proving/ HOL; formalizations; verification; reasoning systems and tools *The conference was held virtually due to the COVID-19 pandemic. Chapter ‘Constructive Hybrid Games’ is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : Alexandru Baltag,Jeremy Seligman,Tomoyuki Yamada
Publisher : Springer
Page : 694 pages
File Size : 43,7 Mb
Release : 2017-09-01
Category : Mathematics
ISBN : 9783662556658

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Logic, Rationality, and Interaction by Alexandru Baltag,Jeremy Seligman,Tomoyuki Yamada Pdf

This LNCS volume is part of FoLLI book serie and contains the papers presented at the 6th International Workshop on Logic, Rationality and Interaction/ (LORI-VI), held in September 2017 in Sapporo, Japan. The focus of the workshop is on following topics: Agency, Argumentation and Agreement, Belief Revision and Belief Merging, Belief Representation, Cooperation, Decision making and Planning, Natural Language, Philosophy and Philosophical Logic, and Strategic Reasoning.

Author : Shier Ju,Alessandra Palmigiano,Minghui Ma
Publisher : Springer Nature
Page : 159 pages
File Size : 41,8 Mb
Release : 2020-01-31
Category : Philosophy
ISBN : 9789811513428

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Nonclassical Logics and Their Applications by Shier Ju,Alessandra Palmigiano,Minghui Ma Pdf

This edited book focuses on non-classical logics and their applications, highlighting the rapid advances and the new perspectives that are emerging in this area. Non-classical logics are logical formalisms that violate or go beyond classical logic laws, and their specific features make them particularly suited to describing and reason about aspects of social interaction. The richness and diversity of non-classical logics mean that this area is a natural catalyst for ideas and insights from many different fields, from information theory to game theory and business science. This volume is the post-proceedings of the 8th International Conference on Logic and Cognition, held at Sun Yat-Sen University Institute of Logic and Cognition (ILC) in Guangzhou, China in December 2016. The conference series started in 2001, and is organized by the ILC, often in collaboration with various international research groups. This eighth installment was jointly organized by ILC and Alessandra Palmigiano's Applied Logic research group. The conference series aims to foster the development of effective logical tools to study social behavior from a philosophical, cognitive and formal perspective in order to challenge the field of logic in ways that open up new and exciting research directions. Chapter "The Category of Node-and-Choice Forms, with Subcategories for Choice-Sequence Forms and Choice-Set Forms" of this book is available open access under a CC BY 4.0 license at link.springer.com

Author : Melvin Fitting,Richard L. Mendelsohn
Publisher : Springer Nature
Page : 464 pages
File Size : 42,9 Mb
Release : 2023-11-22
Category : Philosophy
ISBN : 9783031407147

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First-Order Modal Logic by Melvin Fitting,Richard L. Mendelsohn Pdf

This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.

Author : Andrzej Indrzejczak
Publisher : Springer
Page : 516 pages
File Size : 40,9 Mb
Release : 2010-07-05
Category : Electronic
ISBN : 9048187974

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Natural Deduction, Hybrid Systems and Modal Logics by Andrzej Indrzejczak Pdf

Here is an extensive treatment of Natural Deduction and related proof systems, focused on practical aspects of proof methods. Necessary background material is provided, including a presentation of Modal Logics, First-Order Modal and Hybrid Modal Logics.

Author : Ken McMillan,Aart Middeldorp,Andrei Voronkov
Publisher : Springer
Page : 794 pages
File Size : 51,9 Mb
Release : 2013-12-05
Category : Computers
ISBN : 9783642452215

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Logic for Programming, Artificial Intelligence, and Reasoning by Ken McMillan,Aart Middeldorp,Andrei Voronkov Pdf

This book constitutes the proceedings of the 19th International Conference on Logic for Programming, Artificial Intelligence and Reasoning, LPAR-19, held in December 2013 in Stellenbosch, South Africa. The 44 regular papers and 8 tool descriptions and experimental papers included in this volume were carefully reviewed and selected from 152 submissions. The series of International Conferences on Logic for Programming, Artificial Intelligence and Reasoning (LPAR) is a forum where year after year, some of the most renowned researchers in the areas of logic, automated reasoning, computational logic, programming languages and their applications come to present cutting-edge results, to discuss advances in these fields and to exchange ideas in a scientifically emerging part of the world.

Author : Thouraya Bouabana-Tebibel,Stuart H Rubin
Publisher : Springer
Page : 217 pages
File Size : 55,6 Mb
Release : 2016-04-02
Category : Technology & Engineering
ISBN : 9783319313115

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Theoretical Information Reuse and Integration by Thouraya Bouabana-Tebibel,Stuart H Rubin Pdf

Information Reuse and Integration addresses the efficient extension and creation of knowledge through the exploitation of Kolmogorov complexity in the extraction and application of domain symmetry. Knowledge, which seems to be novel, can more often than not be recast as the image of a sequence of transformations, which yield symmetric knowledge. When the size of those transformations and/or the length of that sequence of transforms exceeds the size of the image, then that image is said to be novel or random. It may also be that the new knowledge is random in that no such sequence of transforms, which produces it exists, or is at least known. The nine chapters comprising this volume incorporate symmetry, reuse, and integration as overt operational procedures or as operations built into the formal representations of data and operators employed. Either way, the aforementioned theoretical underpinnings of information reuse and integration are supported.

Author : Jouko Väänänen,Åsa Hirvonen,Ruy de Queiroz
Publisher : Springer
Page : 447 pages
File Size : 54,8 Mb
Release : 2016-08-05
Category : Mathematics
ISBN : 9783662529218

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Logic, Language, Information, and Computation by Jouko Väänänen,Åsa Hirvonen,Ruy de Queiroz Pdf

Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 23rd Workshop on Logic, Language, Information and Communication, WoLLIC 2016, held in Puebla, Mexico, in August 2016.The 23 contributed papers, presented together with 9 invited lectures and tutorials, were carefully reviewed and selected from 33 submissions. The focus of the workshop is to provide a forum on inter-disciplinary research involving formal logic, computing and programming theory, and natural language and reasoning.

Author : Andrzej Indrzejczak
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 48,7 Mb
Release : 2010-07-03
Category : Philosophy
ISBN : 9789048187850

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Natural Deduction, Hybrid Systems and Modal Logics by Andrzej Indrzejczak Pdf

This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.

Author : Alexandre Madeira,Mário Benevides
Publisher : Springer
Page : 201 pages
File Size : 42,9 Mb
Release : 2017-12-30
Category : Computers
ISBN : 9783319735795

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Dynamic Logic. New Trends and Applications by Alexandre Madeira,Mário Benevides Pdf

This book constitutes the proceedings of the First International Workshop on Dynamic Logic, DALI 2017, held in Brasilia, Brazil, in September 2017. Both its theoretical relevance and practical potential make Dynamic Logic a topic of interest in a number of scientific venues, from wide-scope software engineering conferences to modal logic specific events. The workshop is promoted by an R&D project on dynamic logics for cyber-physical systems. The 12 full papers presented in this volume were carefully reviewed and selected from 25 submissions. The workshop is based on the project DaLí – Dynamic logics for cyber-physical systems: towards contract based design.

Author : Dang Van Hung,Deepak Kapur
Publisher : Springer
Page : 305 pages
File Size : 45,6 Mb
Release : 2017-09-28
Category : Computers
ISBN : 9783319677293

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Theoretical Aspects of Computing – ICTAC 2017 by Dang Van Hung,Deepak Kapur Pdf

This book constitutes the refereed proceedings of the 14th International Colloquium on Theoretical Aspects of Computing, ICTAC 2017, held in Hanoi, Vietnam, in October 2017. The 17 revised full papers presented together with three invited talks were carefully reviewed and selected from 40 submissions. The papers are organized in topical sections on logics; software components and concurrency; automata; SMT solvers and algorithms; and security.