New computational paradigms (59 résultats)

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Introduction: If CiE Did Not Exist, It Would Be Necessary to Invent It.- Computably Enumerable Sets in the Solovay and the Strong Weak Truth Table Degrees.- The Fan Theorem and Uniform Continuity.- Continuous Semantics for Strong Normalization.- A Thread Algebra with Multi-level Strategic Interleaving.- Membrane Computing - Current Results and Future Problems.- How to Compare the Power of Computational Models.- Recombinant DNA ,Gene Splicing as Generative Devices of Formal Languages.- Quantum Computing.- Symbol Grounding in Connectionist and Adaptive Agent Models.- The Complexity of Inductive Definability.- A Logical Approach to Abstract Algebra.- Schnorr Dimension.- Abstract Geometrical Computation: Turing-Computing Ability and Undecidability.- Computability in Computational Geometry.- Shrad: A Language for Sequential Real Number Computation.- Borel Ranks and Wadge Degrees of Context Free -Languages.- Fewer Epistemological Challenges for Connectionism.- An Algebraic View on Exact Learning from Queries.- The Church-Turing Thesis: Breaking the Myth.- Robust Simulations of Turing Machines with Analytic Maps and Flows.- Infinitary Computability with Infinite Time Turing Machines.- Combinatorial Models of Gene Assembly.- Symmetric Enumeration Reducibility.- Computability-Theoretic and Proof-Theoretic Aspects of Vaughtian Model Theory.- Finite Trees as Ordinals.- On the Problems of Definability in the Enumeration Degrees.- Computing a Model of Set Theory.- Proof Mining in Functional Analysis.- Towards Computability of Higher Type Continuous Data.- The Power of Mobility: Four Membranes Suffice.- The Small Grzegorczyk Classes and the Typed -Calculus.- The Flow of Data and the Complexity of Algorithms.- On a Question of Sacks - A Partial Solution on the Positive Side.-The Low Splitting Theorem in the Difference Hierarchy.- Geometric Software: Robustness Issues and Model of Computation.- The Dimension of a Point: Computability Meets Fractal Geometry.- Accepting Networks of Splicing Processors.- Hilbert's Tenth Problem and Paradigms of Computation.- On Some Relations Between Approximation Problems and PCPs over the Real Numbers.- Correlation Dimension and the Quality of Forecasts Given by a Neural Network.- The Computational Complexity of One-Dimensional Sandpiles.- Categoricity in Restricted Classes.- Recursion and Complexity.- FM-Representability and Beyond.- Formalising Exact Arithmetic in Type Theory.- Complexity in Predicative Arithmetic.- Domain-Theoretic Formulation of Linear Boundary Value Problems.- Membrane Computing: Power, Efficiency, Applications.- The Analogue of Büchi's Problem for Polynomials.- On the Turing Degrees of Divergence Bounded Computable Reals.- New Algorithmic Paradigms in Exponential Time Algorithms.- Some Reducibilities on Regular Sets.- Computability and Discrete Dynamical Systems.- Uniform Operators.- Minimal Pairs and Quasi-minimal Degrees for the Joint Spectra of Structures.- Presentations of K-Trivial Reals and Kolmogorov Complexity.- Presentations of Structures in Admissible Sets.- An Environment Aware P-System Model of Quorum Sensing.- Kripke Models, Distributive Lattices, and Medvedev Degrees.- Arthur-Merlin Games and the Problem of Isomorphism Testing.- Beyond the Super-Turing Snare: Analog Computation and Digital Virtuality.- A Network Model of Analogue Computation over Metric Algebras.- Computable Analysis.- The Transfinite Action of 1 Tape Turing Machines.- Complexity of Continuous Space Machine Operations.- Computable Analysis of a Non-homogeneous Boundary-Value Problem for theKorteweg-de Vries Equation.- Computability and Continuity on the Real Arithmetic Hierarchy and the Power of Type-2 Nondeterminism.…

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Etat : Hervorragend. Zustand: Hervorragend | Seiten: 600 | Sprache: Englisch | Produktart: Bücher | CiE 2005: New Computational Paradigms [LINK ENTFERNT] illc. uva. nl/CiE/ ThecooperationComputabilityinEurope (CiE)isaninformalEuropeannetwork covering computability in theoretical computer science and mathematical logic, ranging from application of novel approaches to computation to set-theoretic analysesofin?nitarycomputingmodels. Thecooperationconsistsofelevenmain nodesandincludesover400researchers;itiscoordinatedfromLeeds(UK). More information about CiE can be found in Barry Cooper¿s introductory paper to this volume (p. 1) and at [LINK ENTFERNT] amsta. leeds. ac. uk/pure/staff/cooper/cie. html CiE 2005 was a conference on the special topic ¿New Computational Pa- digms¿ and was held in Amsterdam in June 2005. It was initiated by and served as a focus point for the informal cooperation CiE. The topic of ¿New Com- tational Paradigms¿ covers connections between computation and physical s- tems (e. g. , quantum computation, neural nets, molecular computation) but also higher mathematical models of computation (e. g. , in?nitary computation or real computation). Computability theory is central to large areas of theoretical computer science and mathematical logic. Traditionally, the computational model of the Turing machine (or mathematically equivalent models) has been used to reason about computation or computability. For general computability inquiries (with - bounded resources), the choice of the model of computation hardly matters (this fact is encapsulated in the so-called ¿Church-Turing thesis¿); this could change as soon as questions of e?ciency are investigated.…

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The deep interconnection between 'computation' and 'proof' has originated much of the most significant work in constructive mathematics and mathematical logic of the last 70 years. Moreover, the increasingly compelling necessity to deal with computability in the real world (such as computing on continuous data, biological computing, and physical models) has brought focus to new paradigms of computation that are based on biological and physical models. These models address questions of efficiency in a radically new way and even threaten to move the so-called Turing barrier, i.e. the line between the decidable and the un-decidable.This book 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. The book opens with an introduction by Andrew Hodges, the Turing biographer, who analyzes the pioneering work that anticipated recent developments concerning computation's allegedly new paradigms. The remaining material covers traditional topics in computability theory such as relative computability, theory of numberings, and domain theory, in addition to topics on the relationships between proof theory, computability, and complexity theory. New paradigms of computation arising from biology and quantum physics are also discussed, as well as the computability of the real numbers and its related issues.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. …

Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective.It covers topics ranging from classical computability to complexity, from biocomputing to quantum computing. The 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. In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The book opens with an introduction by Alan Hodges, the Turing biographer, who analyzes the pioneering work that anticipated recent developments concerning computation's allegedly new paradigms.…

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