Classical And New Paradigms Of Computation And Their Complexity Hierarchies

Author : Benedikt Löwe,Boris Piwinger,Thoralf Räsch
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 42,9 Mb
Release : 2007-11-04
Category : Computers
ISBN : 9781402027765

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Classical and New Paradigms of Computation and their Complexity Hierarchies by Benedikt Löwe,Boris Piwinger,Thoralf Räsch Pdf

The notion of complexity is an important contribution of logic to theoretical computer science and mathematics. This volume attempts to approach complexity in a holistic way, investigating mathematical properties of complexity hierarchies at the same time as discussing algorithms and computational properties. A main focus of the volume is on some of the new paradigms of computation, among them Quantum Computing and Infinitary Computation. The papers in the volume are tied together by an introductory article describing abstract properties of complexity hierarchies. This volume will be of great interest to both mathematical logicians and theoretical computer scientists, providing them with new insights into the various views of complexity and thus shedding new light on their own research.

Author : Benedikt Lowe,Boris Piwinger,Thoralf Rasch
Publisher : Unknown
Page : 276 pages
File Size : 40,6 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 9401750955

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Classical and New Paradigms of Computation and Their Complexity Hierarchies by Benedikt Lowe,Boris Piwinger,Thoralf Rasch Pdf

Author : S.B. Cooper,Benedikt Löwe,Andrea Sorbi
Publisher : Springer Science & Business Media
Page : 560 pages
File Size : 52,6 Mb
Release : 2007-11-28
Category : Computers
ISBN : 9780387685465

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New Computational Paradigms by S.B. Cooper,Benedikt Löwe,Andrea Sorbi Pdf

This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book.

Author : Barry S. Cooper,Benedikt Löwe
Publisher : Springer
Page : 578 pages
File Size : 50,9 Mb
Release : 2005-05-20
Category : Computers
ISBN : 9783540322665

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New Computational Paradigms by Barry S. Cooper,Benedikt Löwe Pdf

This book constitutes the refereed proceedings of the first International Conference on Computability in Europe, CiE 2005, held in Amsterdam, The Netherlands in June 2005. The 68 revised full papers presented were carefully reviewed and selected from 144 submissions. Among them are papers corresponding to two tutorials, six plenary talks and papers of six special sessions involving mathematical logic and computer science at the same time as offering the methodological foundations for models of computation. The papers address many aspects of computability in Europe with a special focus on new computational paradigms. These include first of all connections between computation and physical systems (e.g., quantum and analog computation, neural nets, molecular computation), but also cover new perspectives on models of computation arising from basic research in mathematical logic and theoretical computer science.

Author : Franklin de Lima Marquezino,Renato Portugal,Carlile Lavor
Publisher : Springer
Page : 109 pages
File Size : 49,9 Mb
Release : 2019-06-25
Category : Computers
ISBN : 9783030190668

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A Primer on Quantum Computing by Franklin de Lima Marquezino,Renato Portugal,Carlile Lavor Pdf

This book is about quantum computing and quantum algorithms. The book starts with a chapter introducing the basic rules of quantum mechanics and how they can be used to build quantum circuits and perform computations. Further, Grover's algorithm is presented for unstructured search discussing its consequences and applications. Next, important techniques are discussed such as Quantum Fourier Transform and quantum phase estimation. Finally, Shor's algorithm for integer factorization is explained. At last, quantum walks are explained in detail covering both the discrete and continuous time models,and applications of this techniques are described for the design and analyses of quantum algorithms.

Author : Merlin Carl
Publisher : Walter de Gruyter GmbH & Co KG
Page : 343 pages
File Size : 49,9 Mb
Release : 2019-09-23
Category : Mathematics
ISBN : 9783110496154

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Ordinal Computability by Merlin Carl Pdf

Ordinal Computability discusses models of computation obtained by generalizing classical models, such as Turing machines or register machines, to transfinite working time and space. In particular, recognizability, randomness, and applications to other areas of mathematics are covered.

Author : Joanna Jedrzejowicz,Andrzej Szepietowski
Publisher : Springer
Page : 814 pages
File Size : 43,9 Mb
Release : 2005-09-14
Category : Computers
ISBN : 9783540318675

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Mathematical Foundations of Computer Science 2005 by Joanna Jedrzejowicz,Andrzej Szepietowski Pdf

This volume contains the papers presented at the 30th Symposium on Mathematical Foundations of Computer Science (MFCS 2005) held in Gdansk, Poland from August 29th to September 2nd, 2005.

Author : Arnold Beckmann,Ulrich Berger,Benedikt Löwe,John V. Tucker
Publisher : Springer
Page : 608 pages
File Size : 50,6 Mb
Release : 2006-06-29
Category : Computers
ISBN : 9783540354680

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Logical Approaches to Computational Barriers by Arnold Beckmann,Ulrich Berger,Benedikt Löwe,John V. Tucker Pdf

This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.

Author : Benedikt Löwe,Dag Normann,Ivan Soskov,Alexandra Soskova
Publisher : Springer
Page : 319 pages
File Size : 45,5 Mb
Release : 2011-09-15
Category : Computers
ISBN : 9783642218750

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Models of Computation in Context by Benedikt Löwe,Dag Normann,Ivan Soskov,Alexandra Soskova Pdf

This book constitutes the refereed proceedings of the 7th Conference on Computability in Europe, CiE 2011, held in Sofia, Bulgaria, in June/July 2011. The 22 revised papers presented together with 11 invited lectures were carefully reviewed and selected with an acceptance rate of under 40%. The papers cover the topics computability in analysis, algebra, and geometry; classical computability theory; natural computing; relations between the physical world and formal models of computability; theory of transfinite computations; and computational linguistics.

Author : Jérôme Durand-Lose
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 48,5 Mb
Release : 2007-08-23
Category : Computers
ISBN : 9783540745921

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Machines, Computations, and Universality by Jérôme Durand-Lose Pdf

This book constitutes the refereed proceedings of the 5th International Conference on Machines, Computations, and Universality, MCU 2007, held in Orleans, France, September 2007. The 18 revised full papers presented together with nine invited papers cover Turing machines, register machines, word processing, cellular automata, tiling of the plane, neural networks, molecular computations, BSS machines, infinite cellular automata, real machines, and quantum computing.

Author : Srečko Brlek,Christophe Reutenauer
Publisher : Springer
Page : 407 pages
File Size : 41,7 Mb
Release : 2016-07-20
Category : Computers
ISBN : 9783662531327

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Developments in Language Theory by Srečko Brlek,Christophe Reutenauer Pdf

This book constitutes the proceedings of the 20th International Conference on Developments in Language Theory, DLT 2016, held in Montreal, QC, Canada, in July 2016. The 32 full papers and 4 abstracts of invited papers presented were carefully reviewed and selected from 48 submissions. This volume presents current developments in formal languages and automata, especially from the following topics and areas: combinatorial and algebraic properties of words and languages; grammars, acceptors and transducers for strings, trees, graphs, arrays; algebraic theories for automata and languages; codes; efficient text algorithms; symbolic dynamics; decision problems; relationships to complexity theory and logic; picture description and analysis; polyominoes and bidimentional patterns; cryptography; concurrency; cellular automata; bio-inspried computing; quantum computing.

Author : Noam Greenberg,Joel David Hamkins,Denis Hirschfeldt,Russell Miller
Publisher : Cambridge University Press
Page : 205 pages
File Size : 44,9 Mb
Release : 2013-10-31
Category : Mathematics
ISBN : 9781107014510

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Effective Mathematics of the Uncountable by Noam Greenberg,Joel David Hamkins,Denis Hirschfeldt,Russell Miller Pdf

A comprehensive introduction to eight major approaches to computation on uncountable mathematical domains.

Author : S. Barry Cooper
Publisher : Springer Science & Business Media
Page : 842 pages
File Size : 52,7 Mb
Release : 2007-06-11
Category : Computers
ISBN : 9783540730002

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Computation and Logic in the Real World by S. Barry Cooper Pdf

This book constitutes the refereed proceedings of the Third International Conference on Computability in Europe, CiE 2007, held in Sienna, Italy, in June 2007. The 50 revised full papers presented together with 36 invited papers were carefully reviewed and selected from 167 submissions.

Author : S Barry Cooper,Andrea Sorbi
Publisher : World Scientific
Page : 420 pages
File Size : 41,8 Mb
Release : 2011-02-25
Category : Mathematics
ISBN : 9781908978769

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Computability in Context by S Barry Cooper,Andrea Sorbi Pdf

Computability has played a crucial role in mathematics and computer science, leading to the discovery, understanding and classification of decidable/undecidable problems, paving the way for the modern computer era, and affecting deeply our view of the world. Recent new paradigms of computation, based on biological and physical models, address in a radically new way questions of efficiency and challenge assumptions about the so-called Turing barrier. This volume addresses various aspects of the ways computability and theoretical computer science enable scientists and philosophers to deal with mathematical and real-world issues, covering problems related to logic, mathematics, physical processes, real computation and learning theory. At the same time it will focus on different ways in which computability emerges from the real world, and how this affects our way of thinking about everyday computational issues. Contents:Computation, Information, and the Arrow of Time (P Adriaans & P van Emde Boas)The Isomorphism Conjecture for NP (M Agrawal)The Ershov Hierarchy (M M Arslanov)Complexity and Approximation in Reoptimization (G Ausiello et al.)Definability in the Real Universe (S B Cooper)HF-Computability (Y L Drshov et al.)The Mathematics of Computing Between Logic and Physics (G Longo & T Paul)Liquid State Machines: Motivation, Theory, and Applications (W Maass)Experiments on an Internal Approach to Typed Algorithms in Analysis (D Normann)Recursive Functions: An Archeological Look (P Odifreddi)Reverse Mathematics and Well-Ordering Principles (M Rathjen & A Weiermann)Discrete Transfinite Computation Models (P D Welch) Readership: Researchers in computational mathematics, logic, and theoretical computer science. Keywords:Computability;Logic;Real World;Turing Barrier;Real Computation;Learning Theory

Author : Uli Fahrenberg,Mai Gehrke,Luigi Santocanale,Michael Winter
Publisher : Springer Nature
Page : 515 pages
File Size : 42,9 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.