Representation Theorems in Computer Science

Representation Theorems in Computer Science PDF Author: Özgür Lütfü Özçep
Publisher: Springer
ISBN: 3030257851
Category : Computers
Languages : en
Pages : 190

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Book Description
Formal specifications are an important tool for the construction, verification and analysis of systems, since without it is hardly possible to explain whether a system worked correctly or showed an expected behavior. This book proposes the use of representation theorems as a means to develop an understanding of all models of a specification in order to exclude possible unintended models, demonstrating the general methodology with representation theorems for applications in qualitative spatial reasoning, data stream processing, and belief revision. For qualitative spatial reasoning, it develops a model of spatial relatedness that captures the scaling context with hierarchical partitions of a spatial domain, and axiomatically characterizes the resulting relations. It also shows that various important properties of stream processing, such as prefix-determinedness or various factorization properties can be axiomatized, and that the axioms are fulfilled by natural classes of stream functions. The third example is belief revision, which is concerned with the revision of knowledge bases under new, potentially incompatible information. In this context, the book considers a subclass of revision operators, namely the class of reinterpretation operators, and characterizes them axiomatically. A characteristic property of reinterpretation operators is that of dissolving potential inconsistencies by reinterpreting symbols of the knowledge base. Intended for researchers in theoretical computer science or one of the above application domains, the book presents results that demonstrate the use of representation theorems for the design and evaluation of formal specifications, and provide the basis for future application-development kits that support application designers with automatically built representations.

Representation Theorems in Computer Science

Representation Theorems in Computer Science PDF Author: Özgür Lütfü Özçep
Publisher: Springer
ISBN: 3030257851
Category : Computers
Languages : en
Pages : 190

Get Book

Book Description
Formal specifications are an important tool for the construction, verification and analysis of systems, since without it is hardly possible to explain whether a system worked correctly or showed an expected behavior. This book proposes the use of representation theorems as a means to develop an understanding of all models of a specification in order to exclude possible unintended models, demonstrating the general methodology with representation theorems for applications in qualitative spatial reasoning, data stream processing, and belief revision. For qualitative spatial reasoning, it develops a model of spatial relatedness that captures the scaling context with hierarchical partitions of a spatial domain, and axiomatically characterizes the resulting relations. It also shows that various important properties of stream processing, such as prefix-determinedness or various factorization properties can be axiomatized, and that the axioms are fulfilled by natural classes of stream functions. The third example is belief revision, which is concerned with the revision of knowledge bases under new, potentially incompatible information. In this context, the book considers a subclass of revision operators, namely the class of reinterpretation operators, and characterizes them axiomatically. A characteristic property of reinterpretation operators is that of dissolving potential inconsistencies by reinterpreting symbols of the knowledge base. Intended for researchers in theoretical computer science or one of the above application domains, the book presents results that demonstrate the use of representation theorems for the design and evaluation of formal specifications, and provide the basis for future application-development kits that support application designers with automatically built representations.

Algorithmic and Quantitative Real Algebraic Geometry

Algorithmic and Quantitative Real Algebraic Geometry PDF Author: Saugata Basu
Publisher: American Mathematical Soc.
ISBN: 9780821871027
Category : Mathematics
Languages : en
Pages : 238

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Book Description
Algorithmic and quantitative aspects in real algebraic geometry are becoming increasingly important areas of research because of their roles in other areas of mathematics and computer science. The papers in this volume collectively span several different areas of current research. The articles are based on talks given at the DIMACS Workshop on ''Algorithmic and Quantitative Aspects of Real Algebraic Geometry''. Topics include deciding basic algebraic properties of real semi-algebraic sets, application of quantitative results in real algebraic geometry towards investigating the computational complexity of various problems, algorithmic and quantitative questions in real enumerative geometry, new approaches towards solving decision problems in semi-algebraic geometry, as well as computing algebraic certificates, and applications of real algebraic geometry to concrete problems arising in robotics and computer graphics. The book is intended for researchers interested in computational methods in algebra.

Relations and Kleene Algebra in Computer Science

Relations and Kleene Algebra in Computer Science PDF Author: Renate A. Schmidt
Publisher: Springer Science & Business Media
ISBN: 3540378731
Category : Computers
Languages : en
Pages : 443

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Book Description
The book constitutes the joint refereed proceedings of the 9th International Conference on Relational Methods in Computer Science, RelMiCS 2006, and the 4th International Workshop on Applications of Kleene Algebras, AKA 2006, held in Manchester, UK in August/September 2006. The 25 revised full papers presented together with two invited papers and the abstract of an invited talk were carefully reviewed and selected from 44 submissions.

Relational Methods for Computer Science Applications

Relational Methods for Computer Science Applications PDF Author: Ewa Orlowska
Publisher: Physica
ISBN: 3790818283
Category : Computers
Languages : en
Pages : 293

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Book Description
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 PDF Author: Harrie de Swart
Publisher: Springer Science & Business Media
ISBN: 3642210694
Category : Computers
Languages : en
Pages : 370

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Book Description
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 Methods in Computer Science

Relational Methods in Computer Science PDF Author: Wendy MacCaull
Publisher: Springer Science & Business Media
ISBN: 3540333398
Category : Computers
Languages : en
Pages : 271

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Book Description
This volume is the post conference proceedings of the 8th International Seminar on Relational Methods in Computer Science (RelMiCS 8), held in conjunction with the 3rd International Workshop on Applications of Kleene Algebra and a COST Action 274 (TARSKI) Workshop. This combined meeting took place in St. Catharines, Ontario, Canada, from February 22 to February 26, 2005.

Foundations of Software Technology and Theoretical Computer Science

Foundations of Software Technology and Theoretical Computer Science PDF Author: Rudrapatna Shyamasundar
Publisher: Springer Science & Business Media
ISBN: 9783540562870
Category : Computers
Languages : en
Pages : 428

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Book Description
Free radicals, which are key intermediates in many thermal, photochemical and radiation processes, are important for a proper understanding of fundamental natural processes and the successful development of organic syntheses. Volume II/18 serves as a supplement and extension to volume II/13 and covers rate constants and other kinetic data of free radical reactions in liquids. Furthermore II/18 contains new chapters on reactions of radicals in excited states and of carbenes, nitrenes and analogues. Selected species in aqueous solutions for which other compilations are available were deliberately omitted as before, and for the same reason electron transfer equilibria of organic radicals were not covered.

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.

Representation and Invariance of Scientific Structures

Representation and Invariance of Scientific Structures PDF Author: Patrick Suppes
Publisher: Stanford Univ Center for the Study
ISBN: 9781575863337
Category : Science
Languages : en
Pages : 536

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Book Description
A fundamental reason for using formal methods in the philosophy of science is the desirability of having a fixed frame of reference that may be used to organize the variety of doctrines at hand. This book—Patrick Suppes's major work, and the result of several decades of research—examines how set-theoretical methods provide such a framework, covering issues of axiomatic method, representation, invariance, probability, mechanics, and language, including research on brain-wave representations of words and sentences. This is a groundbreaking, essential text from a distinguished philosopher.

Relations and Kleene Algebra in Computer Science

Relations and Kleene Algebra in Computer Science PDF Author: Rudolf Berghammer
Publisher: Springer
ISBN: 3540789138
Category : Mathematics
Languages : en
Pages : 406

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Book Description
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.