Logics for Coalgebras and Applications to Computer Science

Logics for Coalgebras and Applications to Computer Science PDF Author: Alexander Kurz
Publisher: BoD – Books on Demand
ISBN: 3831112495
Category :
Languages : en
Pages : 201

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Book Description


Algebra and Coalgebra in Computer Science

Algebra and Coalgebra in Computer Science PDF Author: José Luis Fiadeiro
Publisher: Springer Science & Business Media
ISBN: 3540286209
Category : Computers
Languages : en
Pages : 466

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Book Description
This book constitutes the refereed proceedings of the First International Conference on Algebra and Coalgebra in Computer Science, CALCO 2005, held in Swansea, UK in September 2005. The biennial conference was created by joining the International Workshop on Coalgebraic Methods in Computer Science (CMCS) and the Workshop on Algebraic Development Techniques (WADT). It addresses two basic areas of application for algebras and coalgebras – as mathematical objects as well as their application in computer science. The 25 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 62 submissions. The papers deal with the following subjects: automata and languages; categorical semantics; hybrid, probabilistic, and timed systems; inductive and coinductive methods; modal logics; relational systems and term rewriting; abstract data types; algebraic and coalgebraic specification; calculi and models of concurrent, distributed, mobile, and context-aware computing; formal testing and quality assurance; general systems theory and computational models (chemical, biological, etc); generative programming and model-driven development; models, correctness and (re)configuration of hardware/middleware/architectures; re-engineering techniques (program transformation); semantics of conceptual modelling methods and techniques; semantics of programming languages; validation and verification.

Algebra and Coalgebra in Computer Science

Algebra and Coalgebra in Computer Science PDF Author: Till Mossakowski
Publisher: Springer
ISBN: 3540738592
Category : Computers
Languages : en
Pages : 463

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Book Description
A double-pronged approach makes this book an extremely useful addition to the literature on this highly relevant contemporary topic. Addressing two basic areas of application for algebras and coalgebras – as mathematical objects as well as in the context of their application in computer science – the papers cover topics such as abstract models and logics, specialised models and calculi, algebraic and coalgebraic semantics, and system specification and verification. The book is the refereed proceedings of the second CALCO conference, held in August 2007 in Norway.

Coalgebraic Methods in Computer Science

Coalgebraic Methods in Computer Science PDF Author: Marcello M. Bonsangue
Publisher: Springer
ISBN: 3662441241
Category : Mathematics
Languages : en
Pages : 251

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Book Description
This book constitutes the thoroughly refereed post-proceedings of the 12th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2014, colocated with ETAPS 2014, held in Grenoble, France, in April 2014. The 10 revised full papers were carefully reviewed and selected from 20 submissions. Also included are three invited talks. The papers cover a wide range of topics in the theory, logics and applications of coalgebras.

Coalgebraic Methods in Computer Science

Coalgebraic Methods in Computer Science PDF Author: Daniela Petrişan
Publisher: Springer Nature
ISBN: 3030572013
Category : Mathematics
Languages : en
Pages : 201

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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 15th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2020, colocated with ETAPS 2020, held in Dublin, Ireland, in April 2020. The conference was held as several online events in September and October due to the COVID-19 pandemic. The 9 revised full papers were carefully reviewed and selected from 13 submissions. Also included is one invited talk. The papers cover a wide range of topics in the theory, logics, and applications of coalgebras.

Coalgebraic Methods in Computer Science

Coalgebraic Methods in Computer Science PDF Author: Ichiro Hasuo
Publisher: Springer
ISBN: 3319403702
Category : Mathematics
Languages : en
Pages : 244

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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 13th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2016, colocated with ETAPS 2016, held in Eindhoven, The Netherlands, in April 2016. The 10 revised full papers were carefully reviewed and selected from 13 submissions. Also included are an invited paper and two keynote talks. The papers cover a wide range of topics in the theory, logics and applications of coalgebras.

Logic for Applications

Logic for Applications PDF Author: Anil Nerode
Publisher: Springer Science & Business Media
ISBN: 1461206499
Category : Computers
Languages : en
Pages : 466

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Book Description
In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science. Thus, our choice oftopics has been heavily influenced by such applications. Of course, we cover the basic traditional topics: syntax, semantics, soundnes5, completeness and compactness as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much ofour book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic especially in its application to Logic Programming and PRO LOG. We deal extensively with the mathematical foundations ofall three ofthese subjects. In addition, we include two chapters on nonclassical logics - modal and intuitionistic - that are becoming increasingly important in computer sci ence. We develop the basic material on the syntax and semantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method in troduced for classical logic. We indicate how it can easily be adapted to various other special types of modal logics. A number of more advanced topics (includ ing nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG.

Logics for Computer Science

Logics for Computer Science PDF Author: Anita Wasilewska
Publisher: Springer
ISBN: 3319925911
Category : Computers
Languages : en
Pages : 535

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Book Description
Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists. Logics for Computer Science contains intuitive introductory chapters explaining the need for logical investigations, motivations for different types of logics and some of their history. They are followed by strict formal approach chapters. All chapters contain many detailed examples explaining each of the introduced notions and definitions, well chosen sets of exercises with carefully written solutions, and sets of homework. While many logic books are available, they were written by logicians for logicians, not for computer scientists. They usually choose one particular way of presenting the material and use a specialized language. Logics for Computer Science discusses Gentzen as well as Hilbert formalizations, first order theories, the Hilbert Program, Godel's first and second incompleteness theorems and their proofs. It also introduces and discusses some many valued logics, modal logics and introduces algebraic models for classical, intuitionistic, and modal S4 and S5 logics. The theory of computation is based on concepts defined by logicians and mathematicians. Logic plays a fundamental role in computer science, and this book explains the basic theorems, as well as different techniques of proving them in classical and some non-classical logics. Important applications derived from concepts of logic for computer technology include Artificial Intelligence and Software Engineering. In addition to Computer Science, this book may also find an audience in mathematics and philosophy courses, and some of the chapters are also useful for a course in Artificial Intelligence.

Essential Logic for Computer Science

Essential Logic for Computer Science PDF Author: Rex Page
Publisher: MIT Press
ISBN: 0262350726
Category : Computers
Languages : en
Pages : 305

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Book Description
An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory. Computer scientists use logic for testing and verification of software and digital circuits, but many computer science students study logic only in the context of traditional mathematics, encountering the subject in a few lectures and a handful of problem sets in a discrete math course. This book offers a more substantive and rigorous approach to logic that focuses on applications in computer science. Topics covered include predicate logic, equation-based software, automated testing and theorem proving, and large-scale computation. Formalism is emphasized, and the book employs three formal notations: traditional algebraic formulas of propositional and predicate logic; digital circuit diagrams; and the widely used partially automated theorem prover, ACL2, which provides an accessible introduction to mechanized formalism. For readers who want to see formalization in action, the text presents examples using Proof Pad, a lightweight ACL2 environment. Readers will not become ALC2 experts, but will learn how mechanized logic can benefit software and hardware engineers. In addition, 180 exercises, some of them extremely challenging, offer opportunities for problem solving. There are no prerequisites beyond high school algebra. Programming experience is not required to understand the book's equation-based approach. The book can be used in undergraduate courses in logic for computer science and introduction to computer science and in math courses for computer science students.

Introduction to Coalgebra

Introduction to Coalgebra PDF Author: Bart Jacobs
Publisher: Cambridge University Press
ISBN: 1107177898
Category : Mathematics
Languages : en
Pages : 495

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Book Description
An accessible introduction to coalgebra, with clear mathematical explanations and numerous examples and exercises.