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Martin Davis On Computability Computational Logic And Mathematical Foundations

Author : Eugenio G. Omodeo
ISBN : 9783319418421
Genre : Philosophy
File Size : 89. 50 MB
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This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability. The individual contributions touch on most of the core aspects of Davis’ work and set it in a contemporary context. They analyse, discuss and develop many of the ideas and concepts that Davis put forward, including such issues as contemporary satisfiability solvers, essential unification, quantum computing and generalisations of Hilbert’s tenth problem. The book starts out with a scientific autobiography by Davis, and ends with his responses to comments included in the contributions. In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’ work. As a whole, this book shows how Davis’ scientific work lies at the intersection of computability, theoretical computer science, foundations of mathematics, and philosophy, and draws its unifying vision from his deep involvement in Logic.

Computational Logic

Author : Dov M. Gabbay
ISBN : 9780080930671
Genre : Mathematics
File Size : 38. 62 MB
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Handbook of the History of Logic brings to the development of logic the best in modern techniques of historical and interpretative scholarship. Computational logic was born in the twentieth century and evolved in close symbiosis with the advent of the first electronic computers and the growing importance of computer science, informatics and artificial intelligence. With more than ten thousand people working in research and development of logic and logic-related methods, with several dozen international conferences and several times as many workshops addressing the growing richness and diversity of the field, and with the foundational role and importance these methods now assume in mathematics, computer science, artificial intelligence, cognitive science, linguistics, law and many engineering fields where logic-related techniques are used inter alia to state and settle correctness issues, the field has diversified in ways that even the pure logicians working in the early decades of the twentieth century could have hardly anticipated. Logical calculi, which capture an important aspect of human thought, are now amenable to investigation with mathematical rigour and computational support and fertilized the early dreams of mechanised reasoning: “Calculemus . The Dartmouth Conference in 1956 – generally considered as the birthplace of artificial intelligence – raised explicitly the hopes for the new possibilities that the advent of electronic computing machinery offered: logical statements could now be executed on a machine with all the far-reaching consequences that ultimately led to logic programming, deduction systems for mathematics and engineering, logical design and verification of computer software and hardware, deductive databases and software synthesis as well as logical techniques for analysis in the field of mechanical engineering. This volume covers some of the main subareas of computational logic and its applications. Chapters by leading authorities in the field Provides a forum where philosophers and scientists interact Comprehensive reference source on the history of logic

Computational Chemistry Reviews Of Current Trends

Author : Jerzy Leszczynski
ISBN : 9789814481397
Genre : Science
File Size : 57. 79 MB
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' Vast progress in the area of computational chemistry has been achieved in the last decade. Theoretical methods such as quantum mechanics, molecular dynamics and statistical mechanics have been successfully used to characterize chemical systems and to design new materials, drugs and chemicals. The reviews presented in this volume discuss the current advances in computational methodologies and their applications. The areas covered include materials science, nanotechnology, inorganic and biological systems. The major thrust of the book is to bring timely overviews of new findings and methods applied in the rapidly changing field of computational chemistry. Contents:Molecular Electronics with Gaussian98/03 (J J Palacios et al.)Molecular Dynamics Simulations of Single Molecule Atomic Force Microscope Experiments (W Nowak & P E Marszalek)Molecular Dynamics Simulations of a Molecular Electronics Device: The NanoCell (J Seminario et al.)Computation of Excited State Potential Energy Surfaces via Linear Response Theories Based on State Specific Multi-Reference Coupled Electron-Pair Approximation Like Methods (S Chattopadhyay et al.)Modelling of Anisotropic Exchange Coupling in Rare-Earth–Transition-Metal Pairs: Applications to Yb3+-Mn2+ and Yb3+-Cr3+ Halide Clusters and Implications to the Light Up-Conversion (M Atanasov et al.)Is a Dihydrogen Bond a Unique Phenomenon? (S J Grabowski & J Leszczynski) Readership: Graduate students and researchers in computational chemistry. Keywords:Computational Chemistry;Quantum Chemistry;Molecular Dynamics;Coupled Clusters Methods;Hydrogen Bonding;Molecular ElectronicsKey Features:Provides timely overviews of new findings and applications in a rapidly changing fieldIncludes reviews from well-known experts in the field, as well as current research data from the authors' groupsReviews:“This book is also an excellent source of information not only for advanced specialists, but also for graduate as well as undergraduate students.”Professor W A Sokalski Wroclaw University of Technology “The contents of the book is quite well-balanced; there is a good mix of both somewhat general topics and topics that are of wide current interest. It will be useful and interesting for chemists, physicists and materials scientists.”Professor Kang Hway Chuan National University of Singapore '

Computational Methods For Understanding Complexity The Use Of Formal Methods In Biology

Author : David A. Rosenblueth,
ISBN : 9782889450428
Genre :
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The complexity of living organisms surpasses our unaided habilities of analysis. Hence, computational and mathematical methods are necessary for increasing our understanding of biological systems. At the same time, there has been a phenomenal recent progress allowing the application of novel formal methods to new domains. This progress has spurred a conspicuous optimism in computational biology. This optimism, in turn, has promoted a rapid increase in collaboration between specialists of biology with specialists of computer science. Through sheer complexity, however, many important biological problems are at present intractable, and it is not clear whether we will ever be able to solve such problems. We are in the process of learning what kind of model and what kind of analysis and synthesis techniques to use for a particular problem. Some existing formalisms have been readily used in biological problems, others have been adapted to biological needs, and still others have been especially developed for biological systems. This Research Topic has examples of cases (1) employing existing methods, (2) adapting methods to biology, and (3) developing new methods. We can also see discrete and Boolean models, and the use of both simulators and model checkers. Synthesis is exemplified by manual and by machine-learning methods. We hope that the articles collected in this Research Topic will stimulate new research.

Computational Logic

Author : Ulrich Berger
ISBN : 9783642586224
Genre : Computers
File Size : 69. 25 MB
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Recent developments in computer science clearly show the need for a better theoretical foundation for some central issues. Methods and results from mathematical logic, in particular proof theory and model theory, are of great help here and will be used much more in future than previously. This book provides an excellent introduction to the interplay of mathematical logic and computer science. It contains extensively reworked versions of the lectures given at the 1997 Marktoberdorf Summer School by leading researchers in the field. Topics covered include: proof theory and specification of computation (J.-Y. Girard, D. Miller), complexity of proofs and programs (S. R. Buss, S. S. Wainer), computational content of proofs (H. Schwichtenberg), constructive type theory (P. Aczel, H. Barendregt, R. L. Constable), computational mathematics, (U. Martin), rewriting logic (J. Meseguer), and game semantics (S. Abramski).

Logic Colloquium 2007

Author : Françoise Delon
ISBN : 9781139488938
Genre : Mathematics
File Size : 55. 96 MB
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The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium 2007, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world. This volume covers many areas of contemporary logic: model theory, proof theory, set theory, and computer science, as well as philosophical logic, including tutorials on cardinal arithmetic, on Pillay's conjecture, and on automatic structures. This volume will be invaluable for experts as well as those interested in an overview of central contemporary themes in mathematical logic.

The Road To Universal Logic

Author : Arnold Koslow
ISBN : 9783319153681
Genre : Mathematics
File Size : 22. 79 MB
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This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert). The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade. These essays will be of interest to all students and researchers interested in the nature and future of logic.

Case Based Reasoning Research And Development

Author : Antonio A. Sánchez-Ruiz
ISBN : 9783030869571
Genre : Computers
File Size : 28. 3 MB
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This book constitutes the proceedings of the 29th International Conference on Case-Based Reasoning, ICCBR 2021, which took place in Salamanca, Spain, during September 13-16, 2021. The 21 papers presented in this volume were carefully reviewed and selected from 85 submissions. They deal with AI and related research focusing on comparison and integration of CBR with other AI methods such as deep learning architectures, reinforcement learning, lifelong learning, and eXplainable AI (XAI).

Logic For Problem Solving Revisited

Author : Robert Kowalski
ISBN : 9783837036299
Genre : Computers
File Size : 39. 30 MB
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This seminal book of Computer Science is the most cited reference on the subject of programming in logic. Originally published in 1979, this now classic text was the first comprehensive attempt to define the scope of logic for problem solving. In this extended edition, Robert Kowalski revisits his classic text in the light of subsequent developments in a substantial commentary of fifty pages. This work investigates the application of logic to problem-solving and computer programming. It assumes no previous knowledge of these fields, and may be appropriate therefore as an introduction to logic, the theory of problem-solving, and computer programming. At the focal point is Computational Logic. It centers around the famous slogan: Algorithm = Logic + Control, which was coined by the author and is explained in this book. According to this view, an algorithm consists of a problem description (the logic part) and a strategy to perform useful computations on this description (the control part). This separation of concerns ideally leads to declarative programs that are simple to develop, clear to understand and easy to maintain.

New Developments In Legal Reasoning And Logic

Author : Shahid Rahman
ISBN : 9783030700843
Genre : Philosophy
File Size : 47. 34 MB
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This book intends to unite studies in different fields related to the development of the relations between logic, law and legal reasoning. Combining historical and philosophical studies on legal reasoning in Civil and Common Law, and on the often neglected Arabic and Talmudic traditions of jurisprudence, this project unites these areas with recent technical developments in computer science. This combination has resulted in renewed interest in deontic logic and logic of norms that stems from the interaction between artificial intelligence and law and their applications to these areas of logic. The book also aims to motivate and launch a more intense interaction between the historical and philosophical work of Arabic, Talmudic and European jurisprudence. The publication discusses new insights in the interaction between logic and law, and more precisely the study of different answers to the question: what role does logic play in legal reasoning? Varying perspectives include that of foundational studies (such as logical principles and frameworks) to applications, and historical perspectives.

Mathematical Software Icms 2016

Author : Gert-Martin Greuel
ISBN : 9783319424323
Genre : Computers
File Size : 80. 46 MB
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This book constitutes the proceedings of the 5th International Conference on Mathematical Software, ICMS 2015, held in Berlin, Germany, in July 2016. The 68 papers included in this volume were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections named: univalent foundations and proof assistants; software for mathematical reasoning and applications; algebraic and toric geometry; algebraic geometry in applications; software of polynomial systems; software for numerically solving polynomial systems; high-precision arithmetic, effective analysis, and special functions; mathematical optimization; interactive operation to scientific artwork and mathematical reasoning; information services for mathematics: software, services, models, and data; semDML: towards a semantic layer of a world digital mathematical library; miscellanea.

Ki 2020 Advances In Artificial Intelligence

Author : Ute Schmid
ISBN : 9783030582852
Genre : Computers
File Size : 55. 81 MB
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This book constitutes the refereed proceedings of the 43rd German Conference on Artificial Intelligence, KI 2020, held in Bamberg, Germany, in September 2020. The 16 full and 12 short papers presented together with 6 extended abstracts in this volume were carefully reviewed and selected from 62 submissions. As well-established annual conference series KI is dedicated to research on theory and applications across all methods and topic areas of AI research. KI 2020 had a special focus on human-centered AI with highlights on AI and education and explainable machine learning. Due to the Corona pandemic KI 2020 was held as a virtual event.

Foundations Of Information And Knowledge Systems

Author : Marc Gyssens
ISBN : 9783319300245
Genre : Mathematics
File Size : 23. 27 MB
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This book constitutes the proceedings of the 9th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2016, held in Linz, Austria, in March 2016. The 14 revised full papers presented papers were carefully reviewed and selected from 23 submissions. The papers address various topics such as reasoning about beliefs, uncertainty, incompleteness, and inconsistency, inference and problem solving, querying and pattern mining, dealing with knowledge, logics and complexity.

Principles Of Abstract Interpretation

Author : Patrick Cousot
ISBN : 9780262361521
Genre : Computers
File Size : 42. 13 MB
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Introduction to abstract interpretation, with examples of applications to the semantics, specification, verification, and static analysis of computer programs. Formal methods are mathematically rigorous techniques for the specification, development, manipulation, and verification of safe, robust, and secure software and hardware systems. Abstract interpretation is a unifying theory of formal methods that proposes a general methodology for proving the correctness of computing systems, based on their semantics. The concepts of abstract interpretation underlie such software tools as compilers, type systems, and security protocol analyzers. This book provides an introduction to the theory and practice of abstract interpretation, offering examples of applications to semantics, specification, verification, and static analysis of programming languages with emphasis on calculational design. The book covers all necessary computer science and mathematical concepts--including most of the logic, order, linear, fixpoint, and discrete mathematics frequently used in computer science--in separate chapters before they are used in the text. Each chapter offers exercises and selected solutions. Chapter topics include syntax, parsing, trace semantics, properties and their abstraction, fixpoints and their abstractions, reachability semantics, abstract domain and abstract interpreter, specification and verification, effective fixpoint approximation, relational static analysis, and symbolic static analysis. The main applications covered include program semantics, program specification and verification, program dynamic and static analysis of numerical properties and of such symbolic properties as dataflow analysis, software model checking, pointer analysis, dependency, and typing (both for forward and backward analysis), and their combinations. Principles of Abstract Interpretation is suitable for classroom use at the graduate level and as a reference for researchers and practitioners.

Fuzzy Logic In Its 50th Year

Author : Cengiz Kahraman
ISBN : 9783319310930
Genre : Technology & Engineering
File Size : 47. 96 MB
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This book offers a multifaceted perspective on fuzzy set theory, discussing its developments over the last 50 years. It reports on all types of fuzzy sets, from ordinary to hesitant fuzzy sets, with each one explained by its own developers, authoritative scientists well known for their previous works. Highlighting recent theorems and proofs, the book also explores how fuzzy set theory has come to be extensively used in almost all branches of science, including the health sciences, decision science, earth science and the social sciences alike. It presents a wealth of real-world sample applications, from routing problem to robotics, and from agriculture to engineering. By offering a comprehensive, timely and detailed portrait of the field, the book represents an excellent reference guide for researchers, lecturers and postgraduate students pursuing research on new fuzzy set extensions.

Semantic Web Collaborative Spaces

Author : Pascal Molli
ISBN : 9783319326672
Genre : Computers
File Size : 55. 34 MB
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This book constitutes the thoroughly refereed post-workshop proceedings of the Second International Workshop on Semantic Web Collaborative Spaces, SWCS 2013, held in Montpellier, France, in May 2013, and the Third International Workshop on Semantic Web Collaborative Spaces, SWCS 2014, held in Trentino, Italy, in October 2014. The 6 revised extended papers presented were carefully reviewed and selected from 10 submissions. The papers are grouped in topical sections on challenges in collaborative spaces, modeling collaborative communities and the role of semantics, semantic MediaWiki communities, and exploiting semantics in collaborative spaces.

Mathematical Aspects Of Computer And Information Sciences

Author : Johannes Blömer
ISBN : 9783319724539
Genre : Computers
File Size : 73. 99 MB
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This book constitutes the refereed proceedings of the 7th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2017, held in Vienna, Austria, in November 2017. The 28 revised papers and 8 short papers presented were carefully reviewed and selected from 67 submissions. The papers are organized in the following topical sections: foundation of algorithms in mathematics, engineering and scientific computation; combinatorics and codes in computer science; data modeling and analysis; and mathematical aspects of information security and cryptography.

Automated Reasoning With Analytic Tableaux And Related Methods

Author : Hans De Nivelle
ISBN : 9783319243122
Genre : Computers
File Size : 66. 29 MB
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This book constitutes the refereed proceedings of the 24th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2015, held in Wroclaw, Poland, in September 2015. The 19 full papers and 2 papers presented in this volume were carefully reviewed and selected from 34 submissions. They are organized in topical sections named: tableaux calculi; sequent calculus; resolution; other calculi; and applications.

Formal Methods Foundations And Applications

Author : Simone Cavalheiro
ISBN : 9783319708485
Genre : Computers
File Size : 34. 20 MB
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This book constitutes the refereed proceedings of the 20th Brazilian Symposium on Formal Methods, SBMF 2017, which took place in Recifel, Brazil, in November/December 2017.The 16 papers presented together with three invited talks were carefully reviewed and selected from 37 submissions. They are organized in the following topical sections: formal methods integration and experience reports; model checking; refinement and verification; and semantics and languages. The chapter 'Rapidly Adjustable Non-Intrusive Online Monitoring for Multi-core Systems' is published open access under a CC BY 4.0 license.

Models For Parallel And Distributed Computation

Author : R. Correa
ISBN : 9781475736090
Genre : Computers
File Size : 72. 30 MB
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Parallel and distributed computation has been gaining a great lot of attention in the last decades. During this period, the advances attained in computing and communication technologies, and the reduction in the costs of those technolo gies, played a central role in the rapid growth of the interest in the use of parallel and distributed computation in a number of areas of engineering and sciences. Many actual applications have been successfully implemented in various plat forms varying from pure shared-memory to totally distributed models, passing through hybrid approaches such as distributed-shared memory architectures. Parallel and distributed computation differs from dassical sequential compu tation in some of the following major aspects: the number of processing units, independent local dock for each unit, the number of memory units, and the programming model. For representing this diversity, and depending on what level we are looking at the problem, researchers have proposed some models to abstract the main characteristics or parameters (physical components or logical mechanisms) of parallel computers. The problem of establishing a suitable model is to find a reasonable trade-off among simplicity, power of expression and universality. Then, be able to study and analyze more precisely the behavior of parallel applications.

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