Logical Approaches to Computational Barriers (eBook, PDF)

Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006, Proceedings
Redaktion: Beckmann, Arnold; Tucker, John V.; Löwe, Benedikt; Berger, Ulrich

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 608
• Erscheinungstermin: 29. Juni 2006
• Englisch
• ISBN-13: 9783540354680
• Artikelnr.: 44121207

Autorenporträt

Arnold Beckmann, University of Wales, Swansea, UK / Ulrich Berger, University of Wales, Swansea, UK / Benedikt Löwe, Universiteit van Amsterdam, The Netherlands / John V. Tucker, University of Wales, Swansea, UK

Inhaltsangabe

Heap-Abstraction for an Object-Oriented Calculus with Thread Classes.- From Constructibility and Absoluteness to Computability and Domain Independence.- Datatype-Generic Reasoning.- The Logical Strength of the Uniform Continuity Theorem.- Elementary Algebraic Specifications of the Rational Function Field.- Random Closed Sets.- Deep Inference and Its Normal Form of Derivations.- Logspace Complexity of Functions and Structures.- Prefix-Like Complexities and Computability in the Limit.- Partial Continuous Functions and Admissible Domain Representations.- An Invariant Cost Model for the Lambda Calculus.- On the Complexity of the Sperner Lemma.- The Church-Turing Thesis: Consensus and Opposition.- Gödel and the Origins of Computer Science.- The Role of Algebraic Models and Type-2 Theory of Effectivity in Special Purpose Processor Design.- Turing Universality in Dynamical Systems.- Every Sequence Is Decompressible from a Random One.- Reversible Conservative Rational Abstract Geometrical Computation Is Turing-Universal.- LJQ: A Strongly Focused Calculus for Intuitionistic Logic.- Böhm Trees, Krivine's Machine and the Taylor Expansion of Lambda-Terms.- What Does the Incompleteness Theorem Add to the Unsolvability of the Halting Problem?.- An Analysis of the Lemmas of Urysohn and Urysohn-Tietze According to Effective Borel Measurability.- Enumeration Reducibility with Polynomial Time Bounds.- Coinductive Proofs for Basic Real Computation.- A Measure of Space for Computing over the Reals.- On Graph Isomorphism for Restricted Graph Classes.- Infinite Time Register Machines.- Upper and Lower Bounds on Sizes of Finite Bisimulations of Pfaffian Hybrid Systems.- Forcing with Random Variables and Proof Complexity.- Complexity-Theoretic Hierarchies.- Undecidability in theHomomorphic Quasiorder of Finite Labeled Forests.- Lower Bounds Using Kolmogorov Complexity.- The Jump Classes of Minimal Covers.- Space Bounds for Infinitary Computation.- From a Zoo to a Zoology: Descriptive Complexity for Graph Polynomials.- Towards a Trichotomy for Quantified H-Coloring.- Two Open Problems on Effective Dimension.- Optimization and Approximation Problems Related to Polynomial System Solving.- Uncomputability Below the Real Halting Problem.- Constraints on Hypercomputation.- Martingale Families and Dimension in P.- Can General Relativistic Computers Break the Turing Barrier?.- Degrees of Weakly Computable Reals.- Understanding and Using Spector's Bar Recursive Interpretation of Classical Analysis.- A Subrecursive Refinement of the Fundamental Theorem of Algebra.- An Introduction to Program and Thread Algebra.- Fast Quantifier Elimination Means P = NP.- Admissible Representations in Computable Analysis.- Do Noetherian Modules Have Noetherian Basis Functions?.- Inverting Monotone Continuous Functions in Constructive Analysis.- Partial Recursive Functions in Martin-Löf Type Theory.- Partially Ordered Connectives and ?1 1 on Finite Models.- Upper and Lower Bounds for the Computational Power of P Systems with Mobile Membranes.- Gödel's Conflicting Approaches to Effective Calculability.- Co-total Enumeration Degrees.- Relativized Degree Spectra.- Phase Transition Thresholds for Some Natural Subclasses of the Computable Functions.- Non-deterministic Halting Times for Hamkins-Kidder Turing Machines.- Kurt Gödel and Computability Theory.- A Computability Theory of Real Numbers.- Primitive Recursive Selection Functions over Abstract Algebras.