Relational Methods in Computer Science

Relational Methods in Computer Science Author : Chris Brink
Release : 2012-12-06
Publisher : Springer Science & Business Media
ISBN : 3709165105
File Size : 22.39 MB
Format : PDF, ePub, Mobi
Download : 606
Read : 968

The calculus of relations has been an important component of the development of logic and algebra since the middle of the nineteenth century, when Augustus De Morgan observed that since a horse is an animal we should be able to infer that the head of a horse is the head of an animal. For this, Aristotelian syllogistic does not suffice: We require relational reasoning. George Boole, in his Mathematical Analysis of Logic of 1847, initiated the treatment of logic as part of mathematics, specifically as part of algebra. Quite the opposite conviction was put forward early this century by Bertrand Russell and Alfred North Whitehead in their Principia Mathematica (1910 - 1913): that mathematics was essentially grounded in logic. Logic thus developed in two streams. On the one hand algebraic logic, in which the calculus of relations played a particularly prominent part, was taken up from Boole by Charles Sanders Peirce, who wished to do for the "calculus of relatives" what Boole had done for the calculus of sets. Peirce's work was in turn taken up by Schroder in his Algebra und Logik der Relative of 1895 (the third part of a massive work on the algebra of logic). Schroder's work, however, lay dormant for more than 40 years, until revived by Alfred Tarski in his seminal paper "On the calculus of binary relations" of 1941 (actually his presidential address to the Association for Symbolic Logic).

Relational Methods for Computer Science Applications

Relational Methods for Computer Science Applications Author : Ewa Orlowska
Release : 2012-08-13
Publisher : Physica
ISBN : 9783662003626
File Size : 52.99 MB
Format : PDF, ePub, Mobi
Download : 190
Read : 600

The origins of relational theories can be found in the work of three 19th cen tury mathematicians: Augustus de Morgan (1864, On the syllogism IV and on the logic of relations), Charles Sanders Peirce (1882, Brief description of the algebra of relatives) and Ernst Schroder (1895, Vorlesungen iiber die Al gebra und Logik der Relative). The modern origins of the theory of relations are due to Alfred Tarski (14 January 1902, Warsaw -26 October 1983, Berke ley). His paper' On the calculus of Relations' published in 1941 gave rise to an algebraic theory of relations which is still extensively studied. In the 1970s, the applications of relational theories to various applied sciences emerged. Nowadays relational theories are experiencing a period of extensive development, with the emergence of new theories and systems allow ing better understanding and better use of such theories. Relational theories have been used, among others, in the following fields: • Theory of programs: program specification, program verification, mod elling concurrency, process calculi, semantics of programming languages; • Databases: relational databases, tabular methods, dependency theory, rectangular and difunctional decomposition of databases; • Computational linguistics: relational semantics of natural languages, re lational grammars, Lambek calculus; • Spatial reasoning: modelling of relationships between space regions; • Handling uncertainty: fuzzy relations, many-valued relations, information relations. Indeed, the concept of relation emerges again and again throughout computer science, from its theoretical foundations to very practical implementations.

Relational and Algebraic Methods in Computer Science

Relational and Algebraic Methods in Computer Science Author : Harrie de Swart
Release : 2011-06-07
Publisher : Springer
ISBN : 3642210708
File Size : 85.49 MB
Format : PDF, Docs
Download : 874
Read : 577

This book constitutes the proceedings of the 12 International Conference on Relational and Algebraic Methods in Computer Science, RAMICS 2011, held in Rotterdam, The Netherlands, in May/June 2011. This conference merges the RelMICS (Relational Methods in Computer Science) and AKA (Applications of Kleene Algebra) conferences, which have been a main forum for researchers who use the calculus of relations and similar algebraic formalisms as methodological and conceptual tools. Relational and algebraic methods and software tools turn out to be useful for solving problems in social choice and game theory. For that reason this conference included a special track on Computational Social Choice and Social Software. The 18 papers included were carefully reviewed and selected from 27 submissions. In addition the volume contains 2 invited tutorials and 5 invited talks.

Relational and Kleene-Algebraic Methods in Computer Science

Relational and Kleene-Algebraic Methods in Computer Science Author : R. Berghammer
Release : 2004-05-14
Publisher : Springer
ISBN : 3540247718
File Size : 81.5 MB
Format : PDF
Download : 289
Read : 717

This book constitutes the thoroughly refereed joint postproceedings of the 7th International Seminar on Relational Methods in Computer Science and the 2nd International Workshop on Applications of Kleene Algebra held in Bad Malente, Germany in May 2003. The 21 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers address foundational and methodological aspects of the calculi of relations and Kleene algebra as well as applications of such methods in various areas of computer science and information processing.

Relational and Algebraic Methods in Computer Science

Relational and Algebraic Methods in Computer Science Author : Wolfram Kahl
Release : 2015-09-24
Publisher : Springer
ISBN : 3319247042
File Size : 50.12 MB
Format : PDF, ePub, Mobi
Download : 888
Read : 902

This book constitutes the proceedings of the 15th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2015, held in Braga, Portugal, in September/October 2015. The 20 revised full papers and 3 invited papers presented were carefully selected from 25 submissions. The papers deal with the theory of relation algebras and Kleene algebras, process algebras; fixed point calculi; idempotent semirings; quantales, allegories, and dynamic algebras; cylindric algebras, and about their application in areas such as verification, analysis and development of programs and algorithms, algebraic approaches to logics of programs, modal and dynamic logics, interval and temporal logics.

Relational Methods in Computer Science

Relational Methods in Computer Science Author : Wendy MacCaull
Release : 2006-07-04
Publisher : Springer
ISBN : 3540333401
File Size : 38.82 MB
Format : PDF
Download : 935
Read : 336

This book constitutes the thoroughly refereed joint postproceedings of the 8th International Seminar on Relational Methods in Computer Science, the 3rd International Workshop on Applications of Kleene Algebra, and the Workshop of COST Action 274. The 17 revised full papers presented together with 3 invited papers address foundational and methodological aspects of the calculi of relations and Kleene algebra, and their application in various areas of computer science and information processing.

Relational and Algebraic Methods in Computer Science

Relational and Algebraic Methods in Computer Science Author : Peter Höfner
Release : 2014-04-10
Publisher : Springer
ISBN : 9783319062501
File Size : 66.25 MB
Format : PDF, Docs
Download : 708
Read : 157

This book constitutes the proceedings of the 14th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2014 held in Marienstatt, Germany, in April/May 2014. The 25 revised full papers presented were carefully selected from 37 submissions. The papers are structured in specific fields on concurrent Kleene algebras and related formalisms, reasoning about computations and programs, heterogeneous and categorical approaches, applications of relational and algebraic methods and developments related to modal logics and lattices.

Relational and Algebraic Methods in Computer Science

Relational and Algebraic Methods in Computer Science Author : Jules Desharnais
Release : 2018-10-22
Publisher : Springer
ISBN : 3030021491
File Size : 43.7 MB
Format : PDF, Mobi
Download : 942
Read : 948

This book constitutes the proceedings of the 17th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2018, held in Groningen, The Netherlands, in October/November 2018. The 21 full papers and 1 invited paper presented together with 2 invited abstracts and 1 abstract of a tutorial were carefully selected from 31 submissions. The papers are organized in the following topics: Theoretical foundations; reasoning about computations and programs; and applications and tools.

Relational and Algebraic Methods in Computer Science

Relational and Algebraic Methods in Computer Science Author : Uli Fahrenberg
Release : 2020-03-18
Publisher : Springer
ISBN : 9783030435196
File Size : 60.5 MB
Format : PDF
Download : 582
Read : 732

This book constitutes the proceedings of the 18th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2020, held in Palaiseau, France, in April 2020. The 20 full papers presented together with 3 invited abstracts were carefully selected from 29 submissions. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond.

Relational and Algebraic Methods in Computer Science

Relational and Algebraic Methods in Computer Science Author : Peter Höfner
Release : 2017-05-08
Publisher : Springer
ISBN : 3319574183
File Size : 57.9 MB
Format : PDF
Download : 116
Read : 435

This book constitutes the proceedings of the 16th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2017, held in Lyon, France, in May 2017. The 17 revised full papers and 2 invited papers presented together with 1 invited abstract were carefully selected from 28 submissions. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond.

Relational Methods for Computer Science Applications

Relational Methods for Computer Science Applications Author : Ewa Orlowska
Release : 2013-11-11
Publisher : Physica
ISBN : 3790818283
File Size : 67.45 MB
Format : PDF, Kindle
Download : 620
Read : 770

This volume addresses all current aspects of relational methods and their applications in computer science. It presents a broad variety of fields and issues in which theories of relations provide conceptual or technical tools. The contributions address such subjects as relational methods in programming, relational constraints, relational methods in linguistics and spatial reasoning, relational modelling of uncertainty. All contributions provide the readers with new and original developments in the respective fields. The reader thus gets an interdisciplinary spectrum of the state of the art of relational methods and implementation-oriented solutions of problems related to these areas.

Relational and Algebraic Methods in Computer Science

Relational and Algebraic Methods in Computer Science Author : Wolfram Kahl
Release : 2012-09-12
Publisher : Springer
ISBN : 3642333141
File Size : 46.43 MB
Format : PDF, Kindle
Download : 598
Read : 657

This book constitutes the thoroughly refereed post-conference proceedings of the 13th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 13, held in Cambridge, UK, in September 2012. The 23 revised full papers presented were carefully selected from 39 submissions in the general area of relational and algebraic methods in computer science, adding special focus on formal methods for software engineering, logics of programs and links with neighboring disciplines. The papers are structured in specific fields on applications to software specification and correctness, mechanized reasoning in relational algebras, algebraic program derivation, theoretical foundations, relations and algorithms, and properties of specialized relations.

Relational Methods in Computer Science

Relational Methods in Computer Science Author : Wendy MacCaull
Release : 2006-04-18
Publisher : Springer
ISBN : 9783540333395
File Size : 32.37 MB
Format : PDF, Kindle
Download : 185
Read : 184

This book constitutes the thoroughly refereed joint postproceedings of the 8th International Seminar on Relational Methods in Computer Science, the 3rd International Workshop on Applications of Kleene Algebra, and the Workshop of COST Action 274. The 17 revised full papers presented together with 3 invited papers address foundational and methodological aspects of the calculi of relations and Kleene algebra, and their application in various areas of computer science and information processing.

Relational Methods in Computer Science

Relational Methods in Computer Science Author : Harrie C.M. de Swart
Release : 2003-07-01
Publisher : Springer
ISBN : 3540362800
File Size : 49.10 MB
Format : PDF, Mobi
Download : 763
Read : 701

This book constitutes the thoroughly refereed joint post-proceedings of the 6th International Conference on Relational Methods in Computer Science, RelMICS 2001 and the 1st Workshop of COST Action 274 TARSKI, Theory and Application of Relational Structures as Knowledge Instruments held in Oisterwijk, The Netherlands, in October 2001. The 20 revised full papers presented together with an invited paper were carefully reviewed and selected. The papers are organized in topical sections on algebraic and logical foundations of real world relations, mechanization of relational reasoning, and relational scaling and preferences.

Ewa Orłowska on Relational Methods in Logic and Computer Science

Ewa Orłowska on Relational Methods in Logic and Computer Science Author : Joanna Golińska-Pilarek
Release : 2018-12-08
Publisher : Springer
ISBN : 3319978799
File Size : 31.75 MB
Format : PDF, Kindle
Download : 769
Read : 1111

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.

Relations and Kleene Algebra in Computer Science

Relations and Kleene Algebra in Computer Science Author : Rudolf Berghammer
Release : 2008-04-12
Publisher : Springer
ISBN : 3540789138
File Size : 82.41 MB
Format : PDF, Docs
Download : 195
Read : 414

Constituting the refereed proceedings of the 10th International Conference on Relational Methods in Computer Science, RelMiCS 2008, and the 5th International Conference on Applications of Kleene Algebras, these papers were selected from numerous submissions.

Relations and Graphs

Relations and Graphs Author : Gunther Schmidt
Release : 2012-12-06
Publisher : Springer Science & Business Media
ISBN : 3642779689
File Size : 78.69 MB
Format : PDF, ePub
Download : 350
Read : 786

Relational methods can be found at various places in computer science, notably in data base theory, relational semantics of concurrency, relationaltype theory, analysis of rewriting systems, and modern programming language design. In addition, they appear in algorithms analysis and in the bulk of discrete mathematics taught to computer scientists. This book is devoted to the background of these methods. It explains how to use relational and graph-theoretic methods systematically in computer science. A powerful formal framework of relational algebra is developed with respect to applications to a diverse range of problem areas. Results are first motivated by practical examples, often visualized by both Boolean 0-1-matrices and graphs, and then derived algebraically.