Logical Approaches to Computational Barriers : Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006, Proceedings - Arnold Beckmann

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Logical Approaches to Computational Barriers

Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006, Proceedings

By: Arnold Beckmann (Editor), Ulrich Berger (Editor), Benedikt LÃ¶we (Editor)

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Paperback | 26 June 2006

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CiE 2006: Logical Approaches to Computational Barriers Swansea, Wales, June 30 - July 5, 2006 Computability in Europe (CiE) is an informal network of European scientists working on computability theory, including its foundations, technical devel- ment, and applications. Among the aims of the network is to advance our t- oretical understanding of what can and cannot be computed, by any means of computation. Its scienti?c vision is broad: computations may be performed with discrete or continuous data by all kinds of algorithms, programs, and - chines. Computations may be made by experimenting with any sort of physical system obeying the laws of a physical theory such as Newtonian mechanics, quantum theory or relativity. Computations may be very general, depending upon the foundations of set theory; or very speci?c, using the combinatorics of ?nite structures. CiE also works on subjects intimately related to computation, especially theories of data and information, and methods for formal reasoning about computations. The sources of new ideas and methods include practical developments in areas such as neural networks, quantum computation, natural computation, molecular computation, and computational learning. Applications are everywhere, especially, in algebra, analysis and geometry, or data types and programming. This volume, Logical Approaches to Computational Barriers, is the proce- ings of the second in a series of conferences of CiE that was held at the Depa- ment of Computer Science, Swansea University, 30 June - 5 July, 2006.

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You Can Find This Book In

Non-Fiction Mathematics Mathematical Foundation Mathematical Logic Computing & I.T.Computer Science Mathematical Theory of Computation Discrete Mathematics Computer Programming & Software Development Algorithms & Data Structures Databases Data Capture & Analysis

Science Biology, Life Sciences Life Sciences in General Applied Mathematics Artificial Intelligence

Heap-abstraction for an object-oriented calculus with thread classes	p. 1
From constructibility and absoluteness to computability and domain independence	p. 11
Datatype-generic reasoning	p. 21
The logical strength of the uniform continuity theorem	p. 35
Elementary algebraic specifications of the rational function field	p. 40
Random closed sets	p. 55
Deep inference and its normal form of derivations	p. 65
Logspace complexity of functions and structures	p. 75
Prefix-like complexities and computability in the limit	p. 85
Partial continuous functions and admissible domain representations	p. 94
An invariant cost model for the lambda calculus	p. 105
On the complexity of the sperner lemma	p. 115
The church-turing thesis : consensus and opposition	p. 125
Godel and the origins of computer science	p. 133
The role of algebraic models and type-2 theory of effectivity in special purpose processor design	p. 137
Turing universality in dynamical systems	p. 147
Every sequence is decompressible from a random one	p. 153
Reversible conservative rational abstract geometrical computation is turing-universal	p. 163
LJQ : a strongly focused calculus for intuitionistic logic	p. 173
Bohm trees, Krivine's machine and the Taylor expansion of lambda-terms	p. 186
What does the incompleteness theorem add to the unsolvability of the halting problem?	p. 198
An analysis of the lemmas of Urysohn and Urysohn-Tietze according to effective borel measurability	p. 199
Enumeration reducibility with polynomial time bounds	p. 209
Coinductive proofs for basic real computation	p. 221
A measure of space for computing over the reals	p. 231
On graph isomorphism for restricted graph classes	p. 241
Infinite time register machines	p. 257
Upper and lower bounds on sizes of finite bisimulations of Pfaffian hybrid systems	p. 267
Forcing with random variables and proof complexity	p. 277
Complexity-theoretic hierarchies	p. 279
Undecidability in the homomorphic quasiorder of finite labeled forests	p. 289
Lower bounds using kolmogorov complexity	p. 297
The jump classes of minimal covers	p. 307
Space bounds for infinitary computation	p. 319
From a zoo to a zoology : descriptive complexity for graph polynomials	p. 330
Towards a trichotomy for quantified H-coloring	p. 342
Two open problems on effective dimension	p. 353
Optimization and approximation problems related to polynomial system solving	p. 360
Uncomputability below the real halting problem	p. 368
Constraints on hypercomputation	p. 378
Martingale families and dimension in P	p. 388
Can general relativistic computers break the turing barrier?	p. 398
Degrees of weakly computable reals	p. 413
Understanding and using spector's bar recursive interpretation of classical analysis	p. 423
A subrecursive refinement of the fundamental theorem of algebra	p. 435
An introduction to program and thread algebra	p. 445
Fast quantifier elimination means P = NP	p. 459
Admissible representations in computable analysis	p. 471
Do Noetherian modules have Noetherian basis functions?	p. 481
Inverting monotone continuous functions in constructive analysis	p. 490
Partial recursive functions in Martin-Lof type theory	p. 505
Partially ordered connectives and [Sigma][subscript 1][superscript 1] on finite models	p. 516
Upper and lower bounds for the computational power of P systems with mobile membranes	p. 526
Godel's conflicting approaches to effective calculability	p. 536
Co-total enumeration degrees	p. 538
Relativized degree spectra	p. 546
Phase transition thresholds for some natural subclasses of the computable functions	p. 556
Non-deterministic halting times for Hamkins-Kidder turing machines	p. 571
Kurt Godel and computability theory	p. 575
A computability theory of real numbers	p. 584
Primitive recursive selection functions over abstract algebras	p. 595
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Logical Approaches to Computational Barriers

Second Conference on Computability in Europe, CiE 2006, Swansea, UK, June 30-July 5, 2006, Proceedings

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