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Algorithmic Number Theory
  • Language: en
  • Pages: 653

Algorithmic Number Theory

An introduction to number theory for beginning graduate students with articles by the leading experts in the field.

Intelligent Computer Mathematics
  • Language: en
  • Pages: 263

Intelligent Computer Mathematics

This book constitutes the refereed proceedings of the 14th International Conference on Intelligent Computer Mathematics, CICM 2021, held in Timisoara, Romania, in July 2021*. The 12 full papers, 7 system descriptions, 1 system entry, and 3 abstracts of invited papers presented were carefully reviewed and selected from a total of 38 submissions. The papers focus on advances in formalization, automatic theorem proving and learning, search and classification, teaching and geometric reasoning, and logic and systems, among other topics. * The conference was held virtually due to the COVID-19 pandemic.

Theoretical Aspects of Computing – ICTAC 2021
  • Language: en
  • Pages: 405

Theoretical Aspects of Computing – ICTAC 2021

This book constitutes the proceedings of the 18th International Colloquium on Theoretical Aspects of Computing, ICTAC 2021, organized by the Nazarbayev University, Nur-Sultan, Kazakhstan. The event was supposed to take place in Nur-Sultan, Kazakhstan, but due to COVID-19 pandemic is was held virtually. The 15 papers presented in this volume were carefully reviewed and selected from 40 submissions. The book also contains one invited talk in full paper length. The book deals with challenges in both theoretical aspects of computing and the exploitation of theory through methods and tools for system development. The 20 full papers presented in this volume were carefully reviewed and selected from 55 submissions. The papers cover a wide variety of topics, including: getting the best price for selling your personal data; attacking Bitcoin; optimizing various forms of model checking; synthesizing and learning algorithms; formalizing and verifying contracts, languages, and compilers; analyzing the correctness and complexity of programs and distributed systems; and finding connections from proofs in propositional logic to quantum programming languages.

Thirty Five Years of Automating Mathematics
  • Language: en
  • Pages: 323

Thirty Five Years of Automating Mathematics

THIRTY FIVE YEARS OF AUTOMATING MATHEMATICS: DEDICATED TO 35 YEARS OF DE BRUIJN'S AUTOMATH N. G. de Bruijn was a well established mathematician before deciding in 1967 at the age of 49 to work on a new direction related to Automating Mathematics. By then, his contributions in mathematics were numerous and extremely influential. His book on advanced asymptotic methods, North Holland 1958, was a classic and was subsequently turned into a book in the well known Dover book series. His work on combinatorics yielded influential notions and theorems of which we mention the de Bruijn-sequences of 1946 and the de Bruijn-Erdos theorem of 1948. De Bruijn's contributions to mathematics also included his...

Hagenberg Research
  • Language: en
  • Pages: 490

Hagenberg Research

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, maste...

Parallel Computing on Distributed Memory Multiprocessors
  • Language: en
  • Pages: 327

Parallel Computing on Distributed Memory Multiprocessors

Advances in microelectronic technology have made massively parallel computing a reality and triggered an outburst of research activity in parallel processing architectures and algorithms. Distributed memory multiprocessors - parallel computers that consist of microprocessors connected in a regular topology - are increasingly being used to solve large problems in many application areas. In order to use these computers for a specific application, existing algorithms need to be restructured for the architecture and new algorithms developed. The performance of a computation on a distributed memory multiprocessor is affected by the node and communication architecture, the interconnection network ...

Symbolic Computation and Automated Reasoning
  • Language: en
  • Pages: 283

Symbolic Computation and Automated Reasoning

  • Type: Book
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  • Published: 2001-04-02
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  • Publisher: CRC Press

While mathematical software packages are commercially successful and widely used, the use of formal methods in hardware and software development is also becoming more and more important and necessary. This has made deduction systems indispensable because of the complexity and sheer size of the reasoning tasks involved.

Algorithmic Number Theory
  • Language: en
  • Pages: 461

Algorithmic Number Theory

  • Type: Book
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  • Published: 2004-05-04
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  • Publisher: Springer

The sixth Algorithmic Number Theory Symposium was held at the University of Vermont, in Burlington, from 13–18 June 2004. The organization was a joint e?ort of number theorists from around the world. There were four invited talks at ANTS VI, by Dan Bernstein of the Univ- sity of Illinois at Chicago, Kiran Kedlaya of MIT, Alice Silverberg of Ohio State University, and Mark Watkins of Pennsylvania State University. Thirty cont- buted talks were presented, and a poster session was held. This volume contains the written versions of the contributed talks and three of the four invited talks. (Not included is the talk by Dan Bernstein.) ANTS in Burlington is the sixth in a series that began with ...

Logic for Programming, Artificial Intelligence, and Reasoning
  • Language: en
  • Pages: 573

Logic for Programming, Artificial Intelligence, and Reasoning

  • Type: Book
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  • Published: 2007-10-07
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  • Publisher: Springer

This book constitutes the refereed proceedings of the 14th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2007, held in Yerevan, Armenia. It contains 36 revised full papers, 15 short papers and three invited talks that were carefully selected from 78 submissions. The papers address all current issues in logic programming, logic-based program manipulation, formal method, automated reasoning, and various kinds of AI logics.

Field-Programmable Logic and Applications: The Roadmap to Reconfigurable Computing
  • Language: en
  • Pages: 872

Field-Programmable Logic and Applications: The Roadmap to Reconfigurable Computing

  • Type: Book
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  • Published: 2003-06-29
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  • Publisher: Springer

This book is the proceedings volume of the 10th International Conference on Field Programmable Logic and its Applications (FPL), held August 27 30, 2000 in Villach, Austria, which covered areas like reconfigurable logic (RL), reconfigurable computing (RC), and its applications, and all other aspects. Its subtitle "The Roadmap to Reconfigurable Computing" reminds us, that we are currently witnessing the runaway of a breakthrough. The annual FPL series is the eldest international conference in the world covering configware and all its aspects. It was founded 1991 at Oxford University (UK) and is 2 years older than its two most important competitors usually taking place at Monterey and Napa. FP...