The Seventeen Provers of the World

The Seventeen Provers of the World PDF

Author: Freek Wiedijk

Publisher: Springer

Published: 2006-01-30

Total Pages: 172

ISBN-13: 3540328882

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Commemorating the 50th anniversary of the first time a mathematical theorem was proven by a computer system, Freek Wiedijk initiated the present book in 2004 by inviting formalizations of a proof of the irrationality of the square root of two from scientists using various theorem proving systems. The 17 systems included in this volume are among the most relevant ones for the formalization of mathematics. The systems are showcased by presentation of the formalized proof and a description in the form of answers to a standard questionnaire. The 17 systems presented are HOL, Mizar, PVS, Coq, Otter/Ivy, Isabelle/Isar, Alfa/Agda, ACL2, PhoX, IMPS, Metamath, Theorema, Leog, Nuprl, Omega, B method, and Minlog.

The Seventeen Provers of the World

The Seventeen Provers of the World PDF

Author: Freek Wiedijk

Publisher: Springer Science & Business Media

Published: 2006-02-03

Total Pages: 172

ISBN-13: 3540307044

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Commemorating the 50th anniversary of the first time a mathematical theorem was proven by a computer system, Freek Wiedijk initiated the present book in 2004 by inviting formalizations of a proof of the irrationality of the square root of two from scientists using various theorem proving systems. The 17 systems included in this volume are among the most relevant ones for the formalization of mathematics. The systems are showcased by presentation of the formalized proof and a description in the form of answers to a standard questionnaire. The 17 systems presented are HOL, Mizar, PVS, Coq, Otter/Ivy, Isabelle/Isar, Alfa/Agda, ACL2, PhoX, IMPS, Metamath, Theorema, Leog, Nuprl, Omega, B method, and Minlog.

Hagenberg Research

Hagenberg Research PDF

Author: Bruno Buchberger

Publisher: Springer Science & Business Media

Published: 2009-05-29

Total Pages: 490

ISBN-13: 3642021271

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BrunoBuchberger This book is a synopsis of basic and applied research done at the various re search institutions of the Softwarepark Hagenberg in Austria. Starting with 15 coworkers in my Research Institute for Symbolic Computation (RISC), I initiated the Softwarepark Hagenberg in 1987 on request of the Upper Aus trian Government with the objective of creating a scienti?c, technological, and economic impulse for the region and the international community. In the meantime, in a joint e?ort, the Softwarepark Hagenberg has grown to the current (2009) size of over 1000 R&D employees and 1300 students in six research institutions, 40 companies and 20 academic study programs on the bachelor, master’s and PhD level. The goal of the Softwarepark Hagenberg is innovation of economy in one of the most important current technologies: software. It is the message of this book that this can only be achieved and guaranteed long term by “watering the root”, namely emphasis on research, both basic and applied. In this book, we summarize what has been achieved in terms of research in the various research institutions in the Softwarepark Hagenberg and what research vision we have for the imminent future. When I founded the Softwarepark Hagenberg, in addition to the “watering the root” principle, I had the vision that such a technology park can only prosper if we realize the “magic triangle”, i.e. the close interaction of research, academic education, and business applications at one site, see Figure 1.

Intelligent Computer Mathematics

Intelligent Computer Mathematics PDF

Author: James H. Davenport

Publisher: Springer Science & Business Media

Published: 2011-07-18

Total Pages: 323

ISBN-13: 3642226728

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This book constitutes the joint refereed proceedings of three international events, namely the 18th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2011, the 10th International Conference on Mathematical Knowledge Management, MKM 2011, and a new track on Systems and Projects descriptions that span both the Calculemus and MKM topics, all held in Bertinoro, Italy, in July 2011. All 51 submissions passed through a rigorous review process. A total of 15 papers were submitted to Calculemus, of which 9 were accepted. Systems and Projects track 2011 there have been 12 papers selected out of 14 submissions while MKM 2011 received 22 submissions, of which 9 were accepted for presentation and publication. The events focused on the use of AI techniques within symbolic computation and the application of symbolic computation to AI problem solving; the combination of computer algebra systems and automated deduction systems; and mathematical knowledge management, respectively.

Turing's Legacy

Turing's Legacy PDF

Author: Rod Downey

Publisher: Cambridge University Press

Published: 2014-05

Total Pages: 540

ISBN-13: 1107043484

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A collection of essays celebrating the influence of Alan Turing's work in logic, computer science and related areas.

Algebraic Biology

Algebraic Biology PDF

Author: Hirokazu Anai

Publisher: Springer

Published: 2007-08-13

Total Pages: 379

ISBN-13: 3540734333

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This volume constitutes the refereed proceedings of the Second International Conference on Algebraic Biology. The conference served as an interdisciplinary forum for the presentation of research on all aspects of the application of symbolic computation in biology, including computer algebra, computational logic, and related methods. Papers also examine solutions to problems in biology using symbolic methods.

Theorem Proving in Higher Order Logics

Theorem Proving in Higher Order Logics PDF

Author: Otmane Ait Mohamed

Publisher: Springer

Published: 2008-10-04

Total Pages: 330

ISBN-13: 3540710671

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This book constitutes the refereed proceedings of the 21st International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2008, held in Montreal, Canada, in August 2008. The 17 revised full papers presented together with 1 proof pearl (concise and elegant presentations of interesting examples), 5 tool presentations, and 2 invited papers were carefully reviewed and selected from 40 submissions. The papers cover all aspects of theorem proving in higher order logics as well as related topics in theorem proving and verification such as formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalisation of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.

Mathematical Knowledge Management

Mathematical Knowledge Management PDF

Author: Jonathan M. Borwein

Publisher: Springer Science & Business Media

Published: 2006-07-26

Total Pages: 303

ISBN-13: 3540371044

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Constitutes the proceedings of the 5th International Conference on Mathematical Knowledge Management, MKM 2006, held in Wokingham. This book includes 22 full papers which cover the whole area of mathematical knowledge management in the intersection of mathematics, computer science, library science, and scientific publishing.

Fundamental Approaches to Software Engineering

Fundamental Approaches to Software Engineering PDF

Author: Alessandra Russo

Publisher: Springer

Published: 2018-04-11

Total Pages: 361

ISBN-13: 3319893637

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This book is Open Access under a CC BY licence. This book constitutes the proceedings of the 21st International Conference on Fundamental Approaches to Software Engineering, FASE 2018, which took place in Thessaloniki, Greece in April 2018, held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2018.The 19 papers presented in this volume were carefully reviewed and selected from 63 submissions. The papers are organized in topical sections named: model-based software development; distributed program and system analysis; software design and verification; specification and program testing; family-based software development.

Automated Deduction - CADE-25

Automated Deduction - CADE-25 PDF

Author: Amy P. Felty

Publisher: Springer

Published: 2015-07-30

Total Pages: 648

ISBN-13: 3319214012

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This book constitutes the proceedings of the 25th International Conference on Automated Deduction, CADE-25, held in Berlin, Germany, in August 2015. The 36 revised full papers presented ( 24 full papers and 12 system descriptions) were carefully reviewed and selected from 85 submissions. CADE is the major forum for the presentation of research in all aspects of automated deduction, including foundations, applications, implementations and practical experience.