Ewa Or owska on Relational Methods in Logic and Computer Science

Comon, H. & Cortier, V. (2000). Flatness is not a weakness. In P. Clote & H. Schwichtenberg (Eds.), Proceedings of 14th Annual Conference of the Computer Science Logic, EACSL (Vol. 1862, pp. 262–276). Lecture Notes in Computer Science.

Author: Joanna Golińska-Pilarek

Publisher: Springer

ISBN: 9783319978796

Category: Philosophy

Page: 502

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This book is a tribute to Professor Ewa Orłowska, a Polish logician who was celebrating the 60th year of her scientific career in 2017. It offers a collection of contributed papers by different authors and covers the most important areas of her research. Prof. Orłowska made significant contributions to many fields of logic, such as proof theory, algebraic methods in logic and knowledge representation, and her work has been published in 3 monographs and over 100 articles in internationally acclaimed journals and conference proceedings. The book also includes Prof. Orłowska’s autobiography, bibliography and a trialogue between her and the editors of the volume, as well as contributors' biographical notes, and is suitable for scholars and students of logic who are interested in understanding more about Prof. Orłowska’s work.
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Lectures on the Logic of Computer Programming

This monograph deals with aspects of the computer programming process that involve techniques derived from mathematical logic.

Author: Zohar Manna

Publisher: Cambridge University Press

ISBN: 0898711649

Category: Computers

Page: 60

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This monograph deals with aspects of the computer programming process that involve techniques derived from mathematical logic. The author focuses on proving that a given program produces the intended result whenever it halts, that a given program will eventually halt, that a given program is partially correct and terminates, and that a system of rewriting rules always halts. Also, the author describes the intermediate behavior of a given program, and discusses constructing a program to meet a given specification.
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Lectures on the Curry Howard Isomorphism

The logical abstract machine: A Curry-Howard isomorphism for machine code. In A. Middledorp and T. Sato, editors, Functional and Logic Programming, volume 1722 of Lecture Notes in Computer Science, pages 300– 318. Springer-Verlag, 1999.

Author: Morten Heine Sørensen

Publisher: Elsevier

ISBN: 0080478921

Category: Mathematics

Page: 456

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The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance, minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic types, sequent calculus is related to explicit substitution, etc. The isomorphism has many aspects, even at the syntactic level: formulas correspond to types, proofs correspond to terms, provability corresponds to inhabitation, proof normalization corresponds to term reduction, etc. But there is more to the isomorphism than this. For instance, it is an old idea---due to Brouwer, Kolmogorov, and Heyting---that a constructive proof of an implication is a procedure that transforms proofs of the antecedent into proofs of the succedent; the Curry-Howard isomorphism gives syntactic representations of such procedures. The Curry-Howard isomorphism also provides theoretical foundations for many modern proof-assistant systems (e.g. Coq). This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic. Key features - The Curry-Howard Isomorphism treated as common theme - Reader-friendly introduction to two complementary subjects: Lambda-calculus and constructive logics - Thorough study of the connection between calculi and logics - Elaborate study of classical logics and control operators - Account of dialogue games for classical and intuitionistic logic - Theoretical foundations of computer-assisted reasoning · The Curry-Howard Isomorphism treated as the common theme. · Reader-friendly introduction to two complementary subjects: lambda-calculus and constructive logics · Thorough study of the connection between calculi and logics. · Elaborate study of classical logics and control operators. · Account of dialogue games for classical and intuitionistic logic. · Theoretical foundations of computer-assisted reasoning
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Logic from Computer Science

McCarty, D. C. [1984], “Realizability and recursive mathematics”, Doctoral Dissertation, Computer Science ... Makkai, M. and G. Reyes [1977), “First order categorical logic”, Lecture Notes in Mathematics 611, Springer-Verlag, Berlin.

Author: Yiannis N. Moschovakis

Publisher: Springer Science & Business Media

ISBN: 9781461228226

Category: Mathematics

Page: 608

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The volume is the outgrowth of a workshop with the same title held at MSRI in the week of November 13-17, 1989, and for those who did not get it, Logic from Computer Science is the converse of Logic in Computer Science, the full name of the highly successful annual LICS conferences. We meant to have a conference which would bring together the LICS commu nity with some of the more traditional "mathematical logicians" and where the emphasis would be on the flow of ideas from computer science to logic rather than the other way around. In a LICS talk, sometimes, the speaker presents a perfectly good theorem about (say) the A-calculus or finite model theory in terms of its potential applications rather than its (often more ob vious) intrinsic, foundational interest and intricate proof. This is not meant to be a criticism; the LICS meetings are, after all, organized by the IEEE Computer Society. We thought, for once, it would be fun to see what we would get if we asked the speakers to emphasize the relevance of their work for logic rather than computer science and to point out what is involved in the proofs. I think, mostly, it worked. In any case, the group of people represented as broad a selection of logicians as I have seen in recent years, and the quality of the talks was (in my view) exceptionally, unusually high. I learned a lot and (I think) others did too.
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Logical Foundations of Computer Science

Hybrid Systems III , Lecture Notes in Computer Science 1066 ( Springer - Verlag , Berlin , 1996 ) , 76-100 . [ KJN96 ] Wolf Kohn , John James and Anil Nerode , " The Declarative Approach to the Design of Robust Control Systems ” ...

Author: Sergei Adian

Publisher: Springer Science & Business Media

ISBN: 3540630457

Category: Computers

Page: 456

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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.
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Lectures in Game Theory for Computer Scientists

In Proceedings of the Annual Conference of the European Association for Computer Science Logic, CSL 2002, volume 2471 of Lecture Notes in Computer Science, pages 322–336. Springer, 2002. A. Church. Logic, arithmetic and automata.

Author: Krzysztof R. Apt

Publisher: Cambridge University Press

ISBN: 9781139494182

Category: Computers

Page:

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Games provide mathematical models for interaction. Numerous tasks in computer science can be formulated in game-theoretic terms. This fresh and intuitive way of thinking through complex issues reveals underlying algorithmic questions and clarifies the relationships between different domains. This collection of lectures, by specialists in the field, provides an excellent introduction to various aspects of game theory relevant for applications in computer science that concern program design, synthesis, verification, testing and design of multi-agent or distributed systems. Originally devised for a Spring School organised by the GAMES Networking Programme in 2009, these lectures have since been revised and expanded, and range from tutorials concerning fundamental notions and methods to more advanced presentations of current research topics. This volume is a valuable guide to current research on game-based methods in computer science for undergraduate and graduate students. It will also interest researchers working in mathematical logic, computer science and game theory.
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First Order Programming Theories

SZAMALK Technical Report, Budapest Gergely, T., Üry, L. £ A uniform approach to programming logics. SZAMALK Technical Report, Budapest Goldblatt, R. [1982] Axiomatising the Logic of Computer Programming. Lecture Notes in Computer ...

Author: Tamas Gergely

Publisher: Springer Science & Business Media

ISBN: 9783642582059

Category: Computers

Page: 353

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This work presents a purely classical first-order logical approach to the field of study in theoretical computer science sometimes referred to as the theory of programs, or programming theory. This field essentially attempts to provide a precise mathematical basis for the common activities involved in reasoning about computer programs and programming languages, and it also attempts to find practical applications in the areas of program specification, verification and programming language design. Many different approaches with different mathematical frameworks have been proposed as a basis for programming theory. They differ in the mathe matical machinery they use to define and investigate programs and program properties and they also differ in the concepts they deal with to understand the programming paradigm. Different approaches use different tools and viewpoints to characterize the data environment of programs. Most of the approaches are related to mathe matical logic and they provide their own logic. These logics, however, are very eclectic since they use special entities to reflect a special world of programs, and also, they are usually incomparable with each other. This Babel's mess irritated us and we decided to peel off the eclectic com ponents and try to answer all the questions by using classical first-order logic.
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Lectures on Formal Methods and Performance Analysis

In Proceedings of the Symposium on Logical Foundations of Computer Science, volume 363 of Lecture Notes in Computer Science, pages 26–40, 1989. E. Brinksma and H. Hermanns. Process algebra and stochastic process algebra. This volume.

Author: Ed Brinksma

Publisher: Springer

ISBN: 9783540446675

Category: Computers

Page: 434

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Traditionally, models and methods for the analysis of the functional correctness of reactive systems, and those for the analysis of their performance (and - pendability) aspects, have been studied by di?erent research communities. This has resulted in the development of successful, but distinct and largely unrelated modeling and analysis techniques for both domains. In many modern systems, however, the di?erence between their functional features and their performance properties has become blurred, as relevant functionalities become inextricably linked to performance aspects, e.g. isochronous data transfer for live video tra- mission. During the last decade, this trend has motivated an increased interest in c- bining insights and results from the ?eld of formal methods – traditionally - cused on functionality – with techniques for performance modeling and analysis. Prominent examples of this cross-fertilization are extensions of process algebra and Petri nets that allow for the automatic generation of performance models, the use of formal proof techniques to assess the correctness of randomized - gorithms, and extensions of model checking techniques to analyze performance requirements automatically. We believe that these developments markthe - ginning of a new paradigm for the modeling and analysis of systems in which qualitative and quantitative aspects are studied from an integrated perspective. We are convinced that the further worktowards the realization of this goal will be a growing source of inspiration and progress for both communities.
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Lectures on Petri Nets I Basic Models

Thiagarajan , P. S. , Walukiewicz , I .: An expressively complete linear time temporal logic for Mazurkiewicz traces . Proceedings of the 12th Annual IEEE Symposium on Logic in Computer Science , IEEE Computer Society Press ( 1997 ) ...

Author: Wolfgang Reisig

Publisher: Springer Science & Business Media

ISBN: 3540653066

Category: Computers

Page: 714

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The two-volume set originates from the Advanced Course on Petri Nets held in Dagstuhl, Germany in September 1996; beyond the lectures given there, additional chapters have been commissioned to give a well-balanced presentation of the state of the art in the area. Together with its companion volume "Lectures on Petri Nets II: Applications" this book is the actual reference for the area and addresses professionals, students, lecturers, and researchers who are - interested in systems design and would like to learn to use Petri nets familiar with subareas of the theory or its applications and wish to view the whole area - interested in learning about recent results presented within a unified framework - planning to apply Petri nets in practical situations - interested in the relationship of Petri nets to other models of concurrent systems.
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Logical Methods

In: Conference on Logic and Computer Science: New Trends and Applications. ... Fourth Annual Symposium on Logic in Computer Science, IEEE. ... In: Recursion Theory Week, Lecture Notes in Mathematics, 1432, Springer, Berlin, 323–362.

Author: John N. Crossley

Publisher: Springer Science & Business Media

ISBN: 9781461203254

Category: Computers

Page: 816

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The twenty-six papers in this volume reflect the wide and still expanding range of Anil Nerode's work. A conference on Logical Methods was held in honor of Nerode's sixtieth birthday (4 June 1992) at the Mathematical Sciences Institute, Cornell University, 1-3 June 1992. Some of the conference papers are here, but others are from students, co-workers and other colleagues. The intention of the conference was to look forward, and to see the directions currently being pursued, in the development of work by, or with, Nerode. Here is a brief summary of the contents of this book. We give a retrospective view of Nerode's work. A number of specific areas are readily discerned: recursive equivalence types, recursive algebra and model theory, the theory of Turing degrees and r.e. sets, polynomial-time computability and computer science. Nerode began with automata theory and has also taken a keen interest in the history of mathematics. All these areas are represented. The one area missing is Nerode's applied mathematical work relating to the environment. Kozen's paper builds on Nerode's early work on automata. Recursive equivalence types are covered by Dekker and Barback, the latter using directly a fundamental metatheorem of Nerode. Recursive algebra is treated by Ge & Richards (group representations). Recursive model theory is the subject of papers by Hird, Moses, and Khoussainov & Dadajanov, while a combinatorial problem in recursive model theory is discussed in Cherlin & Martin's paper. Cenzer presents a paper on recursive dynamics.
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