Directed Algebraic Topology And Concurrency

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Directed Algebraic Topology and Concurrency

Lisbeth Fajstrup,Eric Goubault,Emmanuel Haucourt,Samuel Mimram,Martin Raussen
Directed Algebraic Topology and Concurrency Book PDF

Author : Lisbeth Fajstrup,Eric Goubault,Emmanuel Haucourt,Samuel Mimram,Martin Raussen
Publisher : Springer
Page : 167 pages
File Size : 55,7 Mb
Release : 2016-03-02
Category : Computers
ISBN : 9783319153988

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Directed Algebraic Topology and Concurrency by Lisbeth Fajstrup,Eric Goubault,Emmanuel Haucourt,Samuel Mimram,Martin Raussen Pdf

This monograph presents an application of concepts and methods from algebraic topology to models of concurrent processes in computer science and their analysis. Taking well-known discrete models for concurrent processes in resource management as a point of departure, the book goes on to refine combinatorial and topological models. In the process, it develops tools and invariants for the new discipline directed algebraic topology, which is driven by fundamental research interests as well as by applications, primarily in the static analysis of concurrent programs. The state space of a concurrent program is described as a higher-dimensional space, the topology of which encodes the essential properties of the system. In order to analyse all possible executions in the state space, more than “just” the topological properties have to be considered: Execution paths need to respect a partial order given by the time flow. As a result, tools and concepts from topology have to be extended to take privileged directions into account. The target audience for this book consists of graduate students, researchers and practitioners in the field, mathematicians and computer scientists alike.

Directed Algebraic Topology

Marco Grandis
Directed Algebraic Topology Book PDF

Author : Marco Grandis
Publisher : Cambridge University Press
Page : 445 pages
File Size : 51,7 Mb
Release : 2009-09-17
Category : Mathematics
ISBN : 9781139482585

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Directed Algebraic Topology by Marco Grandis Pdf

This is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of concurrent processes. Its general aim can be stated as 'modelling non-reversible phenomena' and its domain should be distinguished from that of classical algebraic topology by the principle that directed spaces have privileged directions and directed paths therein need not be reversible. Its homotopical tools (corresponding in the classical case to ordinary homotopies, fundamental group and fundamental groupoid) should be similarly 'non-reversible': directed homotopies, fundamental monoid and fundamental category. Homotopy constructions occur here in a directed version, which gives rise to new 'shapes', like directed cones and directed spheres. Applications will deal with domains where privileged directions appear, including rewrite systems, traffic networks and biological systems. The most developed examples can be found in the area of concurrency.

Research in Computational Topology 2

Ellen Gasparovic,Vanessa Robins,Katharine Turner
Research in Computational Topology 2 Book PDF

Author : Ellen Gasparovic,Vanessa Robins,Katharine Turner
Publisher : Springer Nature
Page : 304 pages
File Size : 42,6 Mb
Release : 2022-05-10
Category : Mathematics
ISBN : 9783030955199

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Research in Computational Topology 2 by Ellen Gasparovic,Vanessa Robins,Katharine Turner Pdf

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community. The multidisciplinary and international WinCompTop workshop provided an exciting and unique opportunity for women in diverse locations and research specializations to interact extensively and collectively contribute to new and active research directions in the field. The prestigious senior researchers that signed on to head projects at the workshop are global leaders in the discipline, and two of them were authors on some of the first papers in the field. Some of the featured topics include topological data analysis of power law structure in neural data; a nerve theorem for directional graph covers; topological or homotopical invariants for directed graphs encoding connections among a network of neurons; and the issue of approximation of objects by digital grids, including precise relations between the persistent homology of dual cubical complexes.

Automata, Languages, and Programming

Magnús M. Halldórsson,Kazuo Iwama,Naoki Kobayashi,Bettina Speckmann
Automata Languages and Programming Book PDF

Author : Magnús M. Halldórsson,Kazuo Iwama,Naoki Kobayashi,Bettina Speckmann
Publisher : Springer
Page : 717 pages
File Size : 53,7 Mb
Release : 2015-06-19
Category : Computers
ISBN : 9783662476666

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Automata, Languages, and Programming by Magnús M. Halldórsson,Kazuo Iwama,Naoki Kobayashi,Bettina Speckmann Pdf

The two-volume set LNCS 9134 and LNCS 9135 constitutes the refereed proceedings of the 42nd International Colloquium on Automata, Languages and Programming, ICALP 2015, held in Kyoto, Japan, in July 2015. The 143 revised full papers presented were carefully reviewed and selected from 507 submissions. The papers are organized in the following three tracks: algorithms, complexity, and games; logic, semantics, automata and theory of programming; and foundations of networked computation: models, algorithms and information management.

Relational and Algebraic Methods in Computer Science

Uli Fahrenberg,Mai Gehrke,Luigi Santocanale,Michael Winter
Relational and Algebraic Methods in Computer Science Book PDF

Author : Uli Fahrenberg,Mai Gehrke,Luigi Santocanale,Michael Winter
Publisher : Springer Nature
Page : 515 pages
File Size : 50,5 Mb
Release : 2021-10-22
Category : Computers
ISBN : 9783030887018

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Relational and Algebraic Methods in Computer Science by Uli Fahrenberg,Mai Gehrke,Luigi Santocanale,Michael Winter Pdf

This book constitutes the proceedings of the 19th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2021, which took place in Marseille, France, during November 2-5, 2021. The 29 papers presented in this book were carefully reviewed and selected from 35 submissions. They deal with the development and dissemination of relation algebras, Kleene algebras, and similar algebraic formalisms. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond.

Advances in Mathematical Sciences

Bahar Acu,Donatella Danielli,Marta Lewicka,Arati Pati,Saraswathy RV,Miranda Teboh-Ewungkem
Advances in Mathematical Sciences Book PDF

Author : Bahar Acu,Donatella Danielli,Marta Lewicka,Arati Pati,Saraswathy RV,Miranda Teboh-Ewungkem
Publisher : Springer Nature
Page : 364 pages
File Size : 41,6 Mb
Release : 2020-07-16
Category : Mathematics
ISBN : 9783030426873

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Advances in Mathematical Sciences by Bahar Acu,Donatella Danielli,Marta Lewicka,Arati Pati,Saraswathy RV,Miranda Teboh-Ewungkem Pdf

This volume highlights the mathematical research presented at the 2019 Association for Women in Mathematics (AWM) Research Symposium held at Rice University, April 6-7, 2019. The symposium showcased research from women across the mathematical sciences working in academia, government, and industry, as well as featured women across the career spectrum: undergraduates, graduate students, postdocs, and professionals. The book is divided into eight parts, opening with a plenary talk and followed by a combination of research paper contributions and survey papers in the different areas of mathematics represented at the symposium: algebraic combinatorics and graph theory algebraic biology commutative algebra analysis, probability, and PDEs topology applied mathematics mathematics education

A Journey Through Discrete Mathematics

Martin Loebl,Jaroslav Nešetřil,Robin Thomas
A Journey Through Discrete Mathematics Book PDF

Author : Martin Loebl,Jaroslav Nešetřil,Robin Thomas
Publisher : Springer
Page : 810 pages
File Size : 40,9 Mb
Release : 2017-10-11
Category : Computers
ISBN : 9783319444796

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A Journey Through Discrete Mathematics by Martin Loebl,Jaroslav Nešetřil,Robin Thomas Pdf

This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, surveys and expository articles, written by leading experts in their respective fields, map Jiří Matoušek’s numerous areas of mathematical interest.

Computational Psychiatry

Rodrick Wallace
Computational Psychiatry Book PDF

Author : Rodrick Wallace
Publisher : Springer
Page : 236 pages
File Size : 50,9 Mb
Release : 2017-04-20
Category : Science
ISBN : 9783319539102

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Computational Psychiatry by Rodrick Wallace Pdf

This book explores mental disorders from a uniquely evolutionary perspective. Although there have been many attempts to mathematically model neural processes and, to some extent, their dysfunction, there is very little literature that models mental function within a sociocultural, socioeconomic, and environmental context. Addressing this gap in the extant literature, this book explores essential aspects of mental disorders, recognizing the ubiquitous role played by the exaptation of crosstalk between cognitive modules at many different scales and levels of organization, the missing heritability of complex diseases, and cultural epigenetics. Further, it introduces readers to valuable control theory tools that permit the exploration of the environmental induction of neurodevelopmental disorders, as well as the study of the synergism between culture, psychopathology and sleep disorders, offering a distinctively unique resource.

Mathematics in Cyber Research

Paul L. Goethals,Natalie M. Scala,Daniel T. Bennett
Mathematics in Cyber Research Book PDF

Author : Paul L. Goethals,Natalie M. Scala,Daniel T. Bennett
Publisher : CRC Press
Page : 524 pages
File Size : 52,8 Mb
Release : 2022-02-06
Category : Business & Economics
ISBN : 9781000542691

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Mathematics in Cyber Research by Paul L. Goethals,Natalie M. Scala,Daniel T. Bennett Pdf

In the last decade, both scholars and practitioners have sought novel ways to address the problem of cybersecurity. Innovative outcomes have included applications such as blockchain as well as creative methods for cyber forensics, software development, and intrusion prevention. Accompanying these technological advancements, discussion on cyber matters at national and international levels has focused primarily on the topics of law, policy, and strategy. The objective of these efforts is typically to promote security by establishing agreements among stakeholders on regulatory activities. Varying levels of investment in cyberspace, however, comes with varying levels of risk; in some ways, this can translate directly to the degree of emphasis for pushing substantial change. At the very foundation or root of cyberspace systems and processes are tenets and rules governed by principles in mathematics. Topics such as encrypting or decrypting file transmissions, modeling networks, performing data analysis, quantifying uncertainty, measuring risk, and weighing decisions or adversarial courses of action represent a very small subset of activities highlighted by mathematics. To facilitate education and a greater awareness of the role of mathematics in cyber systems and processes, a description of research in this area is needed. Mathematics in Cyber Research aims to familiarize educators and young researchers with the breadth of mathematics in cyber-related research. Each chapter introduces a mathematical sub-field, describes relevant work in this field associated with the cyber domain, provides methods and tools, as well as details cyber research examples or case studies. Features One of the only books to bring together such a diverse and comprehensive range of topics within mathematics and apply them to cyber research. Suitable for college undergraduate students or educators that are either interested in learning about cyber-related mathematics or intend to perform research within the cyber domain. The book may also appeal to practitioners within the commercial or government industry sectors. Most national and international venues for collaboration and discussion on cyber matters have focused primarily on the topics of law, policy, strategy, and technology. This book is among the first to address the underpinning mathematics.

Theories of Programming

Cliff B. Jones,Jayadev Misra
Theories of Programming Book PDF

Author : Cliff B. Jones,Jayadev Misra
Publisher : Morgan & Claypool
Page : 450 pages
File Size : 42,7 Mb
Release : 2021-09-26
Category : Computers
ISBN : 9781450387316

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Theories of Programming by Cliff B. Jones,Jayadev Misra Pdf

Sir Tony Hoare has had an enormous influence on computer science, from the Quicksort algorithm to the science of software development, concurrency and program verification. His contributions have been widely recognised: He was awarded the ACM’s Turing Award in 1980, the Kyoto Prize from the Inamori Foundation in 2000, and was knighted for “services to education and computer science” by Queen Elizabeth II of England in 2000. This book presents the essence of his various works—the quest for effective abstractions—both in his own words as well as chapters written by leading experts in the field, including many of his research collaborators. In addition, this volume contains biographical material, his Turing award lecture, the transcript of an interview and some of his seminal papers. Hoare’s foundational paper “An Axiomatic Basis for Computer Programming”, presented his approach, commonly known as Hoare Logic, for proving the correctness of programs by using logical assertions. Hoare Logic and subsequent developments have formed the basis of a wide variety of software verification efforts. Hoare was instrumental in proposing the Verified Software Initiative, a cooperative international project directed at the scientific challenges of large-scale software verification, encompassing theories, tools and experiments. Tony Hoare’s contributions to the theory and practice of concurrent software systems are equally impressive. The process algebra called Communicating Sequential Processes (CSP) has been one of the fundamental paradigms, both as a mathematical theory to reason about concurrent computation as well as the basis for the programming language occam. CSP served as a framework for exploring several ideas in denotational semantics such as powerdomains, as well as notions of abstraction and refinement. It is the basis for a series of industrial-strength tools which have been employed in a wide range of applications. This book also presents Hoare’s work in the last few decades. These works include a rigorous approach to specifications in software engineering practice, including procedural and data abstractions, data refinement, and a modular theory of designs. More recently, he has worked with collaborators to develop Unifying Theories of Programming (UTP). Their goal is to identify the common algebraic theories that lie at the core of sequential, concurrent, reactive and cyber-physical computations.

Foundations of Software Science and Computation Structures

Mikołaj Bojańczyk,Alex Simpson
Foundations of Software Science and Computation Structures Book PDF

Author : Mikołaj Bojańczyk,Alex Simpson
Publisher : Springer
Page : 556 pages
File Size : 49,9 Mb
Release : 2019-04-05
Category : Mathematics
ISBN : 9783030171278

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Foundations of Software Science and Computation Structures by Mikołaj Bojańczyk,Alex Simpson Pdf

This open access book constitutes the proceedings of the 22nd International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2019, which took place in Prague, Czech Republic, in April 2019, held as part of the European Joint Conference on Theory and Practice of Software, ETAPS 2019.The 29 papers presented in this volume were carefully reviewed and selected from 85 submissions. They deal with foundational research with a clear significance for software science.

Manifolds And Local Structures: A General Theory

Marco Grandis
Manifolds And Local Structures A General Theory Book PDF

Author : Marco Grandis
Publisher : World Scientific
Page : 374 pages
File Size : 48,7 Mb
Release : 2021-02-10
Category : Mathematics
ISBN : 9789811234019

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Manifolds And Local Structures: A General Theory by Marco Grandis Pdf

Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable 'elementary spaces', by means of partial homeomorphisms that fix the gluing conditions and form a sort of 'intrinsic atlas', instead of the more usual system of charts living in an external framework.An 'intrinsic manifold' is defined here as such an atlas, in a suitable category of elementary spaces: open euclidean spaces, or trivial bundles, or trivial vector bundles, and so on.This uniform approach allows us to move from one basis to another: for instance, the elementary tangent bundle of an open Euclidean space is automatically extended to the tangent bundle of any differentiable manifold. The same holds for tensor calculus.Technically, the goal of this book is to treat these structures as 'symmetric enriched categories' over a suitable basis, generally an ordered category of partial mappings.This approach to gluing structures is related to Ehresmann's one, based on inductive pseudogroups and inductive categories. A second source was the theory of enriched categories and Lawvere's unusual view of interesting mathematical structures as categories enriched over a suitable basis.

Computer Safety, Reliability, and Security

Francesco Flammini,Sandro Bologna,Valeria Vittorini
Computer Safety Reliability and Security Book PDF

Author : Francesco Flammini,Sandro Bologna,Valeria Vittorini
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 55,7 Mb
Release : 2011-09-15
Category : Computers
ISBN : 9783642242694

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Computer Safety, Reliability, and Security by Francesco Flammini,Sandro Bologna,Valeria Vittorini Pdf

Constitutes the refereed proceedings of the 30th International Conference on Computer Safety, Reliability, and Security, SAFECOMP 2011, held in Naples, Italy, in September 2011. This book includes the papers that are organized in topical sections on RAM evaluation, complex systems dependability, formal verification, and risk and hazard analysis.

Canonical Instabilities of Autonomous Vehicle Systems

Rodrick Wallace
Canonical Instabilities of Autonomous Vehicle Systems Book PDF

Author : Rodrick Wallace
Publisher : Springer
Page : 45 pages
File Size : 42,5 Mb
Release : 2017-10-31
Category : Technology & Engineering
ISBN : 9783319699356

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Canonical Instabilities of Autonomous Vehicle Systems by Rodrick Wallace Pdf

The asymptotic limit theorems of control and information theories make it possible to explore the dynamics of collapse likely to afflict large-scale systems of autonomous ground vehicles that communicate with each other and with an embedding intelligent roadway. Any vehicle/road system is inherently unstable in the control theory sense as a consequence of the basic irregularities of the traffic stream, the road network, and their interactions, placing it in the realm of the Data Rate Theorem that mandates a minimum necessary rate of control information for stability. It appears that large-scale V2V/V2I systems will experience correspondingly large-scale failures analogous to the vast, propagating fronts of power network blackouts, and possibly less benign but more subtle patterns of individual vehicle, platoon, and mesoscale dysfunction. The central matter is the synergism between poorly-understood traffic flow dynamics and similarly cryptic multisource information network dynamics, leading to highly punctuated phase transition analogs.

Programming Languages and Systems

Helmut Seidl
Programming Languages and Systems Book PDF

Author : Helmut Seidl
Publisher : Springer
Page : 602 pages
File Size : 55,9 Mb
Release : 2012-03-22
Category : Computers
ISBN : 9783642288692

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Programming Languages and Systems by Helmut Seidl Pdf

This book constitutes the refereed proceedings of the 21st European Symposium on Programming, ESOP 2012, held in Tallinn, Estonia, as part of ETAPS 2012, in March/April 2012. The 28 full papers, presented together with one full length invited talk, were carefully reviewed and selected from 92 submissions. Papers were invited on all aspects of programming language research, including: programming paradigms and styles, methods and tools to write and specify programs and languages, methods and tools for reasoning about programs, methods and tools for implementation, and concurrency and distribution.