International Symposium, LFCS 2009, Deerfield Beach, FL, USA, January 3-6, 2009, Proceedings
Author: Sergei Artemov,Anil Nerode
Publisher: Springer Science & Business Media
This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2009, held in Deerfield Beach, Florida, USA in January 2008. The volume presents 31 revised refereed papers carefully selected by the program committee. All current aspects of logic in computer science are addressed, including constructive mathematics and type theory, logical foundations of programming, logical aspects of computational complexity, logic programming and constraints, automated deduction and interactive theorem proving, logical methods in protocol and program verification and in program specification and extraction, domain theory logics, logical foundations of database theory, equational logic and term rewriting, lambda and combinatory calculi, categorical logic and topological semantics, linear logic, epistemic and temporal logics, intelligent and multiple agent system logics, logics of proof and justification, nonmonotonic reasoning, logic in game theory and social software, logic of hybrid systems, distributed system logics, system design logics, as well as other logics in computer science.
Second International Symposium, Tver, Russia, July 20-24, 1992. Proceedings
Author: Anil Nerode,Mikhail Taitslin
This volume presents the papers selected for the Symposium Logic at Tver '92, held at Sokol, near Tver, Russia in July 1992. It is the second in a series of international symposia on logical foundations of computer science held in Russia. The meeting is a joint effort of scholars from both the former Soviet Union and the West, and indicates a new era of international cooperation. Sponsors of the meeting include: the Association for Computing Machinery, the Association for Symbolic Logic, andthe Committee on Mathematical Foundations of Computer Science of IEEE. The book is a unique source of information on the state of computer science research in the former Soviet Union and presents important discoveries in the area of logical foundations of computer science.
Symposium on Logical Foundations of Computer Science, Pereslavl-Zalessky, USSR, July 3-8, 1989, Proceedings
Author: Albert R. Meyer,Michael A. Taitslin
Publisher: Springer Science & Business Media
The present volume contains the proceedings of Logic at Botik '89, a symposium on logical foundations of computer science organized by the Program Systems Institute of the USSR Academy of Sciences and held at Pereslavl-Zalessky, USSR, July 3-8, 1989. The scope of the symposium was very broad; the topics of interest were: complexity of formal systems, constructive mathematics in computer science, denotational and operational semantics of programs, descriptive complexity, dynamic and algorithmic logics and schematology, formal tools to describe concurrent computations, lambda calculus and related topics, foundations of logic programming, logical foundations of database theory, logics for knowledge representation, modal and temporal logics, type theory in programming, and verification of programs. Thus, the papers in this volume represent many interesting trends in logical foundations of Computer Science, ranging from purely theoretical research to practical applications of theory.
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. Equal emphasis is placed on numerical and theoretical matters. Several concrete applications are made to illustrate the method. These applications include (1) Ginzburg-Landau functionals of superconductivity, (2) problems of transonic flow in which type depends locally on nonlinearities, and (3) minimal surface problems. Sobolev gradient constructions rely on a study of orthogonal projections onto graphs of closed densely defined linear transformations from one Hilbert space to another. These developments use work of Weyl, von Neumann and Beurling.
Third International Symposium, LFCS '94, St. Petersburg, Russia, July 11-14, 1994. Proceedings
Author: Anil Nerode,Yu.V. Matiyasevich
This volume presents the refereed papers accepted for the international symposium Logical Foundations of Computer Science '94, Logic at St. Petersburg, held in St. Petersburg, Russia in July 1994. The symposium was the third in a series of joint efforts of logicians from both the former Soviet Union and the West. The volume reflects that the interaction of logic and computer science is an especially fertile ground for interdisciplinary work providing mutual understanding and benefits. The totally 35 papers are devoted to topics as linear logic, Horn clauses, model-checking, lambda-calculi, modal logic, and problem complexity.
This volume contains the proceedings of the conference Logical Foundations of Mathematics, Computer Science, and Physics-Kurt Gödel's Legacy, held in Brno, Czech Republic on the 90th anniversary of his birth. The wide and continuing importance of Gödel s work in the logical foundations of mathematics, computer science, and physics is confirmed by the broad range of speakers who participated in making this gathering a scientific event.
This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.
This 1991 book gives an overview of different areas of research in nonmonotonic reasoning. The guiding principles are: clarification of the different research activities in the area and appreciation of the fact that these research activities often represent different means to the same ends, namely sound theoretical foundations and efficient computation.
Das Buch ist die deutsche Übersetzung des Standardwerkes der Stanforder Professoren Michael R. Genesereth und Nils J. Nilsson.Im Unterschied zu deutschen Lehrbüchern der Informatik zeichnet sich das Buch dadurch aus, daß es einen gut lesbaren Überblick gibt, ohne allzu formalistisch zu werden, gleichwohl aber von hohem Niveau ist und die Ergebnisse jüngster Forschung berücksichtigt. Das Buch empfiehlt sich sowohl für Studenten und Dozenten der Inf ormatik, aber auch für Forscher aus anderen Gebieten, die von den Grundlagen der Künstlichen Intelligenz profitieren möchten.
logical foundations for mathematics and computer science
Author: Paul Carl Gilmore
Publisher: A K Peters Ltd
Logicism, as put forward by Bertrand Russell, was predicated on a belief that all of mathematics can be deduced from a very small number of fundamental logical principles. In Logicism Renewed, the author revisits this concept in light of advances in mathematical logic and the need for languages that can be understood by both humans and computers that require distinguishing between the intension and extension of predicates. Using Intensional Type Theory (ITT) the author provides a unified foundation for mathematics and computer science, yielding a much simpler foundation for recursion theory and the semantics of computer programs than that currently provided by category theory.
38th International Symposium, MFCS 2013, Klosterneuburg, Austria, August 26-30, 2013, Proceedings
Author: Krishnendu Chatterjee,Jiri Sgall
This book constitutes the thoroughly refereed conference proceedings of the 38th International Symposium on Mathematical Foundations of Computer Science, MFCS 2013, held in Klosterneuburg, Austria, in August 2013. The 67 revised full papers presented together with six invited talks were carefully selected from 191 submissions. Topics covered include algorithmic game theory, algorithmic learning theory, algorithms and data structures, automata, formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, databases and knowledge-based systems, foundations of computing, logic in computer science, models of computation, semantics and verification of programs, and theoretical issues in artificial intelligence.
The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability. Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs. Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.
This volume constitutes the refereed proceedings of the 37th International Symposium on Mathematical Foundations of Computer Science, MFCS 2012, held in Bratislava, Slovakia, in August 2012. The 63 revised full papers presented together with 8 invited talks were carefully reviewed and selected from 162 submissions. Topics covered include algorithmic game theory, algorithmic learning theory, algorithms and data structures, automata, formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, databases and knowledge-based systems, foundations of computing, logic in computer science, models of computation, semantics and verification of programs, and theoretical issues in artificial intelligence.
20th International Workshop, CSL 2006, 15th Annual Conference of the EACSL, Szeged, Hungary, September 25-29, 2006, Proceedings
Author: Zolt N Sik
Publisher: Springer Science & Business Media
This book constitutes the refereed proceedings of the 20th International Workshop on Computer Science Logic, CSL 2006, held as the 15th Annual Conference of the EACSL in Szeged, Hungary in September 2006.The 37 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from 132 submissions. All current aspects of logic in computer science are addressed, including automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and formal logics, modal and temporal logic, model checking, logical aspects of computational complexity, finite model theory, computational proof theory, logic programming and constraints, lambda calculus and combinatory logic, categorical logic and topological semantics, domain theory, database theory, specification, extraction and transformation of programs, logical foundations of programming paradigms, verification of security protocols, linear logic, higher-order logic, nonmonotonic reasoning, as well as logics and type systems for biology.
This book provides a systematic study of three foundational issues in the semantics of natural language that have been relatively neglected in the past few decades. focuses on the formal characterization of intensions, the nature of an adequate type system for natural language semantics, and the formal power of the semantic representation language proposes a theory that offers a promising framework for developing a computational semantic system sufficiently expressive to capture the properties of natural language meaning while remaining computationally tractable written by two leading researchers and of interest to students and researchers in formal semantics, computational linguistics, logic, artificial intelligence, and the philosophy of language
Mauro Boscarol,Luigia Carlucci Aiello,Giorgio Levi
Workshop, Trento, Italy, December 15-19, 1986. Proceedings
Author: Mauro Boscarol,Luigia Carlucci Aiello,Giorgio Levi
Publisher: Springer Science & Business Media
This volume consists of some of the papers that were delivered during the workshop on "Foundations of Logic and Functional Programming" held in Trento, Italy, from December 15th to 19th, 1986. The meeting centered on themes and trends in Functional Programming and in Logic Programming. This book contains five papers contributed by the invited speakers and five selected contributions.