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Mathematical Logic In Asia
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Book Synopsis Mathematical Logic in Asia by : Rod G. Downey
Download or read book Mathematical Logic in Asia written by Rod G. Downey and published by World Scientific. This book was released on 2006 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the main areas of mathematical logic and applications to computer science. There are articles on weakly o-minimal theories, algorithmic complexity of relations, models within the computable model theory, hierarchies of randomness tests, computable numberings, and complexity problems of minimal unsatisfiable formulas. The problems of characterization of the deduction-detachment theorem, ?1-induction, completeness of Le?niewski's systems, and reduction calculus for the satisfiability problem are also discussed.The coverage includes the answer to Kanovei's question about the upper bound for the complexity of equivalence relations by convergence at infinity for continuous functions. The volume also gives some applications to computer science such as solving the problems of inductive interference of languages from the full collection of positive examples and some negative data, the effects of random negative data, methods of formal specification and verification on the basis of model theory and multiple-valued logics, interval fuzzy algebraic systems, the problems of information exchange among agents on the base topological structures, and the predictions provided by inductive theories.
Book Synopsis Mathematical Logic In Asia - Proceedings Of The 9th Asian Logic Conference by : Sergei S Goncharov
Download or read book Mathematical Logic In Asia - Proceedings Of The 9th Asian Logic Conference written by Sergei S Goncharov and published by World Scientific. This book was released on 2006-10-23 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the main areas of mathematical logic and applications to computer science. There are articles on weakly o-minimal theories, algorithmic complexity of relations, models within the computable model theory, hierarchies of randomness tests, computable numberings, and complexity problems of minimal unsatisfiable formulas. The problems of characterization of the deduction-detachment theorem, Δ1-induction, completeness of Leśniewski's systems, and reduction calculus for the satisfiability problem are also discussed.The coverage includes the answer to Kanovei's question about the upper bound for the complexity of equivalence relations by convergence at infinity for continuous functions. The volume also gives some applications to computer science such as solving the problems of inductive interference of languages from the full collection of positive examples and some negative data, the effects of random negative data, methods of formal specification and verification on the basis of model theory and multiple-valued logics, interval fuzzy algebraic systems, the problems of information exchange among agents on the base topological structures, and the predictions provided by inductive theories.
Book Synopsis Southeast Asian Conference on Logic by : C.-T. Chong
Download or read book Southeast Asian Conference on Logic written by C.-T. Chong and published by Elsevier. This book was released on 2011-10-10 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The visit of Gerald Sacks to the National University of Singapore in 1981 provided an opportunity to organize a shortconference in Mathematical Logic. We were fortunate to receive encouragement and material support for this venture from several sources. Specific acknowledgements are made below. Sponsorship of the conference by the Association for Symbolic Logic was received and gave added inspiration. A final word in this connexion concerns the debt we owe to invited speakers who were able to provide for travel expenses from their own resources. Their presence at the conference would not have been possible otherwise. The publication of these Proceedings came about through an initiative of North Holland. The progress in producing the volume has been somewhat fitful, and we appreciate their forbearance and understanding. The items herein, with some exceptions, are written versions of invited talks given at the conference. Abstracts of contributed papers have appeared in the Journal of Symbolic Logic. The two workshops: in Recursion Theory by Mark Tamthai and Model Theory by Chris Ash, which were held in conjunction with the conference, are not recorded. We were fortunate to receive editorial assistance from John Bell during his visit to NUS. A great debt is owed to Mimi Bell and Madam Lam for producing the splendid typescript for the volume.
Book Synopsis Proceedings Of The 14th And 15th Asian Logic Conferences by : Kim Byunghan
Download or read book Proceedings Of The 14th And 15th Asian Logic Conferences written by Kim Byunghan and published by World Scientific. This book was released on 2019-01-16 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asian Logic Conference (ALC) is a major international event in mathematical logic. It features the latest scientific developments in the fields of mathematical logic and its applications, logic in computer science, and philosophical logic. The ALC series also aims to promote mathematical logic in the Asia-Pacific region and to bring logicians together both from within Asia and elsewhere for an exchange of information and ideas. This combined proceedings volume represents works presented or arising from the 14th and 15th ALCs.
Book Synopsis Mathematical Logic in Asia by : S. S. Goncharov
Download or read book Mathematical Logic in Asia written by S. S. Goncharov and published by World Scientific. This book was released on 2006 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the main areas of mathematical logic and applications to computer science. There are articles on weakly o-minimal theories, algorithmic complexity of relations, models within the computable model theory, hierarchies of randomness tests, computable numberings, and complexity problems of minimal unsatisfiable formulas. The problems of characterization of the deduction-detachment theorem, o 1 -induction, completeness of Leoniewski''s systems, and reduction calculus for the satisfiability problem are also discussed. The coverage includes the answer to Kanovei''s question about the upper bound for the complexity of equivalence relations by convergence at infinity for continuous functions. The volume also gives some applications to computer science such as solving the problems of inductive interference of languages from the full collection of positive examples and some negative data, the effects of random negative data, methods of formal specification and verification on the basis of model theory and multiple-valued logics, interval fuzzy algebraic systems, the problems of information exchange among agents on the base topological structures, and the predictions provided by inductive theories. Sample Chapter(s). Chapter 1: Another Characterization of the Deduction-Detachment Theorem (535 KB). Contents: Another Characterization of the Deduction-Detachment Theorem (S V Babyonyshev); On Behavior of 2-Formulas in Weakly o-Minimal Theories (B S Baizhanov & B Sh Kulpeshov); Arithmetic Turing Degrees and Categorical Theories of Computable Models (E Fokina); Negative Data in Learning Languages (S Jain & E Kinber); Effective Cardinals in the Nonstandard Universe (V Kanovei & M Reeken); Model-Theoretic Methods of Analysis of Computer Arithmetic (S P Kovalyov); The Functional Completeness of Leoniewski''s Systems (F Lepage); Hierarchies of Randomness Tests (J Reimann & F Stephan); Intransitive Linear Temporal Logic Based on Integer Numbers, Decidability, Admissible Logical Consecutions (V V Rybakov); The Logic of Prediction (E Vityaev); Conceptual Semantic Systems Theory and Applications (K E Wolff); Complexity Results on Minimal Unsatisfiable Formulas (X Zhao); and other papers. Readership: Researchers in mathematical logic and algebra, computer scientists in artificial intelligence and fuzzy logic."
Book Synopsis Proceedings of the 7th and 8th Asian Logic Conferences by : Rod Downey
Download or read book Proceedings of the 7th and 8th Asian Logic Conferences written by Rod Downey and published by World Scientific. This book was released on 2003-11-11 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th and the 8th Asian Logic Conferences belong to the series of logic conferences inaugurated in Singapore in 1981. This meeting is held once every three years and rotates among countries in the Asia-Pacific region, with interests in the broad area of logic, including theoretical computer science. It is now considered a major conference in this field and is regularly sponsored by the Association for Symbolic Logic. This book contains papers — many of them surveys by leading experts — of both the 7th meeting (in Hsi-Tou, Taiwan) and the 8th (in Chongqing, China). The volume planned for the 7th meeting was interrupted by the earthquake in Taiwan and the decision was made to combine the two proceedings. The 8th conference is also the ICM2002 Satellite Conference on Mathematical Logic. Contents:Five Puzzles about Mathematics in Search of Solutions (C S Chihara)Computability, Definability and Algebraic Structures (R Downey)Popper and Miller, and Induction and Deduction (E Eells)Enlargements of Polynomial Coalgebras (R Goldblatt)A Common Structure of Logical and Algebraic Algorithms (Y Kawaguchi)Computational Complexity of Fractals (K I Ko)Definability in Local Degree Structures — A Survey of Recent Results Related to Jump Classes (A Li & Y Yang)An Application of NDJPROP to the Catch and Throw Mechanism (M Nakata et al.)A Problem on Theories with a Finite Number of Countable Models (A Tsuboi)Diamond Embeddings into the D.C.E. Degrees with 0 and 1 Preserved (G Wu)and other papers Readership: Logicians, computer scientists, research mathematicians and graduate students. Keywords:
Book Synopsis Knowledge, Proof and Dynamics by : Fenrong Liu
Download or read book Knowledge, Proof and Dynamics written by Fenrong Liu and published by Springer Nature. This book was released on 2020-03-23 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers selected papers presented at the Fourth Asian Workshop on Philosophical Logic, held in Beijing in October 2018. The contributions cover a wide variety of topics in modal logic (epistemic logic, temporal logic and dynamic logic), proof theory, algebraic logic, game logics, and philosophical foundations of logic. They also reflect the interdisciplinary nature of logic – a subject that has been studied in fields as diverse as philosophy, linguistics, mathematics, computer science and artificial intelligence. More specifically. The book also presents the latest developments in logic both in Asia and beyond.
Book Synopsis Ordinal Analysis with an Introduction to Proof Theory by : Toshiyasu Arai
Download or read book Ordinal Analysis with an Introduction to Proof Theory written by Toshiyasu Arai and published by Springer Nature. This book was released on 2020-08-11 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research topic in proof theory that is concerned with the ordinal theoretic content of formal theories. However, the book also addresses ordinal analysis and basic materials in proof theory of first-order or omega logic, presenting some new results and new proofs of known ones.Primarily intended for graduate students and researchers in mathematics, especially in mathematical logic, the book also includes numerous exercises and answers for selected exercises, designed to help readers grasp and apply the main results and techniques discussed.
Book Synopsis Proceedings of the 10th Asian Logic Conference by :
Download or read book Proceedings of the 10th Asian Logic Conference written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Sixth Asian Logic Conference by : C T Chong
Download or read book Proceedings of the Sixth Asian Logic Conference written by C T Chong and published by World Scientific. This book was released on 1998-04-04 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects written versions of invited and contributed talks presented at the conference. It covers many areas of logic and the foundations of mathematics, as well as computer science. Contents:Seminormal Fine Measures on Pκ(λ) (Y Abe)Effective Baire Category Concepts (K Ambos-Spies & J Reimann)Weak Presentations of Computable Partial Orderings (M M Arslanov & I S Kalimullin)Recursion Theory and Weak Fragments of Peano Arithmetic: A Study of Definable Cuts (C T Chong & Y Yang)Lattice Embedding into d-r.e. Degrees Preserving 0 and 1 (D Ding & L Qian)On Stationary Reflection Principles (Q Feng)Definable Sets of Real Numbers, Infinite Games and Core Model Theory (K Hauser)The Descriptive Classification of Some Classes of C∗-Algebras (A S Kechris)Decidability and Undecidability in the Enumerable Turing Degrees (S Lempp)The Theory of Finite Models (L Luo)A Note on Weak Segments of PFA (T Miyamoto)On Structural Inference Rules for Gentzen-Style Natural Deduction, Part I (K Nakatogawa)Linear Set Theory with Strict Comprehension (M Shirahata)A Solution to a Problem of Marek and Truszcynski (K Su & H Chen)Credulous Reasoning About Defaults (Y H Tan & L W N van der Torre)Computational Complexity of Infinite-Valued Lukasiewicz Propositional Logic (H Wagner)DNK and Natural Reasoning (M Yasugi & M Nakata)Default Logic and Its Variants: A Semantical View (M Zhang)Adding Eventual Different Reals (Y Zhang)Asian Logic Conferences (M Yasugi) Readership: Logicians, computer scientists, graduate students and research mathematicians. Keywords:Seminormal Fine Measures;Baire Category;Computable Partial Orderings;Recursion Theory;Peano Arithmetic;Core Model Theory;Câ-Algebras;Finite Models;Natural Reasoning;Default Logic
Book Synopsis Proceedings of the 13th Asian Logic Conference by : Xishun Zhao
Download or read book Proceedings of the 13th Asian Logic Conference written by Xishun Zhao and published by World Scientific. This book was released on 2015-03-05 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a forum which highlights new achievements and overviews of recent developments of the thriving logic groups in the Asia-Pacific region. It contains papers by leading logicians and also some contributions in computer science logics and philosophic logics. Contents:An Analogy Between Cardinal Characteristics and Highness Properties of Oracles (Jörg Brendle, Andrew Brooke-Taylor, Keng Meng Ng and André Nies)A Non-Uniformly C-Productive Sequence & Non-Constructive Disjunctions (John Case, Michael Ralston and Yohji Akama)Minimal Pairs in the C. E. Truth-Table Degrees (Rod Downey and Keng Meng Ng)A Survey on Recent Results on Partial Learning (Ziyuan Gao, Sanjay Jain, Frank Stephan and Sandra Zilles)Characterization of the Second Homology Group of a Stationary Type in a Stable Theory (John Goodrick, Byunghan Kim and Alexei Kolesnikov)Some Questions Concerning Ab Initio Generic Structures (Koichiro Ikeda)Model Complete Generic Structures (Koichiro Ikeda and Hirotaka Kikyo)On Categorical Relationship among Various Fuzzy Topological Systems, Fuzzy Topological Spaces and Related Algebraic Structures (Purbita Jana and Mihir K Chakraborty)Realizability and Existence Property of a Constructive Set Theory with Types (Farida Kachapova)Goal-Directed Unbounded Coalitional Game and Its Complexity (Hu Liu)On Extensions of Basic Propositional Logic (Minghui Ma and Katsuhiko Sano)Large Cardinals and Higher Degree Theory (Xianghui Shi)Degree Spectra of Equivalence Relations (Liang Yu) Readership: Researchers in mathematical logic and algebra, computer scientists in artificial intelligence and fuzzy logic. Key Features:The Asian Logic Conference is the most significant logic meeting outside of North America and EuropeThe contributors are prominent logicians or young leading researchersSome papers propose a few new questions or new research topicsKeywords:Mathematical Logic;Recursion Theory;Axiomatic Set Theory;Model Theory;Computability;Degree;Forcing;Large Cardinal;Generic Structure;Algebraic Structure;Philosophic Logic
Book Synopsis Proceedings of the 10th Asian Logic Conference, Kobe, Japan, 1-6 September 2008 by : Toshiyasu Arai
Download or read book Proceedings of the 10th Asian Logic Conference, Kobe, Japan, 1-6 September 2008 written by Toshiyasu Arai and published by World Scientific. This book was released on 2010 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 10th Asian Logic Conference is part of the series of logic conferences inaugurated in Singapore in 1981. This meeting is held every three years and rotates among countries in the Asia-Pacific region, with interests in the broad area of logic, including theoretical computer science. It is now considered a major conference in this field and is regularly sponsored by the Association of Symbolic Logic. This volume contains papers from the 10th meeting held in Kobe, Japan.
Book Synopsis Introduction To Mathematical Logic (Extended Edition) by : Michal Walicki
Download or read book Introduction To Mathematical Logic (Extended Edition) written by Michal Walicki and published by World Scientific Publishing Company. This book was released on 2016-08-12 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse.
Book Synopsis Philosophical Logic: Current Trends in Asia by : Syraya Chin-Mu Yang
Download or read book Philosophical Logic: Current Trends in Asia written by Syraya Chin-Mu Yang and published by Springer. This book was released on 2017-11-25 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a group of logic-minded philosophers and philosophically oriented logicians, mainly from Asia, to address a variety of logical and philosophical topics of current interest, offering a representative cross-section of the philosophical logic landscape in early 21st-century Asia. It surveys a variety of fields, including modal logic, epistemic logic, formal semantics, decidability and mereology. The book proposes new approaches and constructs more powerful frameworks, such as cover theory, an algebraic approach to cut-elimination, and a Boolean approach to causal discovery, to name but a few. Readers may find a wide range of applications of these original works in current research of philosophical logic, especially in the structural and conceptual analysis of some significant semantic properties and formal systems. The variety of topics and issues discussed here will appeal to readers from a broad spectrum of disciplines, ranging from mathematical/philosophical logic, computing science, cognitive science and artificial intelligence, to linguistics, game theory and beyond.
Book Synopsis Proceedings of the 11th Asian Logic Conference by : Chi-Tat Chong
Download or read book Proceedings of the 11th Asian Logic Conference written by Chi-Tat Chong and published by World Scientific. This book was released on 2012 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asian Logic Conference is part of the series of logic conferences inaugurated in Singapore in 1981. It is normally held every three years and rotates among countries in the Asia-Pacific region. The 11th Asian Logic Conference is held in the National University of Singapore, in honour of Professor Chong Chitat on the occasion of his 60th birthday. The conference is on the broad area of logic, including theoretical computer science. It is considered a major event in this field and is regularly sponsored by the Association of Symbolic Logic. This volume contains papers from this meeting.
Book Synopsis Proceedings of the 11th Asian Logic Conference by : Toshiyasu Arai
Download or read book Proceedings of the 11th Asian Logic Conference written by Toshiyasu Arai and published by World Scientific. This book was released on 2011-08-10 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asian Logic Conference is part of the series of logic conferences inaugurated in Singapore in 1981. It is normally held every three years and rotates among countries in the Asia-Pacific region. The 11th Asian Logic Conference was held at the National University of Singapore, in honor of Professor Chong Chitat on the occasion of his 60th birthday. The conference is on the broad area of logic, including theoretical computer science. It is considered a major event in this field and is regularly sponsored by the Association of Symbolic Logic. This volume contains papers from this meeting. Contents:Provably Δ02 and Weakly Descending Chains (T Arai)Amalgamation, Absoluteness, and Categoricity (J Baldwin)K-Trivials are Never Continuously Random (G Barmpalias, N Greenberg, A Montalbán and T Slaman)Limitwise Monotonic Functions and Their Applications (R Downey, A Kach and D Turetsky)A Dichotomy for the Mackey Borel Structure (I Farah)On Automatic Families (S Jain, Y Ong, Sh Pu and F Stephan)Cappable CEA Sets and Ramsey's Theorem (A Kach, M Lerman and R Solomon)Computable Dowd-Type Generic Oracles (M Kumabe and T Suzuki)Models of Long Sentences I (G Sacks)A Universally-Free Modal Logic (S Yang) Readership: Researchers in mathematical logic and algebra, computer scientists in artificial intelligence and fuzzy logic. Keywords:Mathematical Logic;Model;Computability;Modal Logic;Logic Calculus;Computable Models;Computer Science;Computable Numberings;Theory;Proofs;Formulas;Non-Classical Logic;Temporal Logic;Fuzzy Logic
Book Synopsis A Profile of Mathematical Logic by : Howard DeLong
Download or read book A Profile of Mathematical Logic written by Howard DeLong and published by Courier Corporation. This book was released on 2012-09-26 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work.
