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Logical Approaches to Computational Barriers

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Cover of 'Logical Approaches to Computational Barriers'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Heap-Abstraction for an Object-Oriented Calculus with Thread Classes
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    Chapter 2 From Constructibility and Absoluteness to Computability and Domain Independence
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    Chapter 3 Datatype-Generic Reasoning
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    Chapter 4 The Logical Strength of the Uniform Continuity Theorem
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    Chapter 5 Elementary Algebraic Specifications of the Rational Function Field
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    Chapter 6 Random Closed Sets
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    Chapter 7 Deep Inference and Its Normal Form of Derivations
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    Chapter 8 Logspace Complexity of Functions and Structures
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    Chapter 9 Prefix-Like Complexities and Computability in the Limit
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    Chapter 10 Partial Continuous Functions and Admissible Domain Representations
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    Chapter 11 An Invariant Cost Model for the Lambda Calculus
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    Chapter 12 On the Complexity of the Sperner Lemma
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    Chapter 13 The Church-Turing Thesis: Consensus and Opposition
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    Chapter 14 Gödel and the Origins of Computer Science
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    Chapter 15 The Role of Algebraic Models and Type-2 Theory of Effectivity in Special Purpose Processor Design
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    Chapter 16 Turing Universality in Dynamical Systems
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    Chapter 17 Every Sequence Is Decompressible from a Random One
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    Chapter 18 Reversible Conservative Rational Abstract Geometrical Computation Is Turing-Universal
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    Chapter 19 LJQ: A Strongly Focused Calculus for Intuitionistic Logic
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    Chapter 20 Böhm Trees, Krivine’s Machine and the Taylor Expansion of Lambda-Terms
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    Chapter 21 What Does the Incompleteness Theorem Add to the Unsolvability of the Halting Problem?
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    Chapter 22 An Analysis of the Lemmas of Urysohn and Urysohn-Tietze According to Effective Borel Measurability
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    Chapter 23 Enumeration Reducibility with Polynomial Time Bounds
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    Chapter 24 Coinductive Proofs for Basic Real Computation
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    Chapter 25 A Measure of Space for Computing over the Reals
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    Chapter 26 On Graph Isomorphism for Restricted Graph Classes
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    Chapter 27 Infinite Time Register Machines
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    Chapter 28 Upper and Lower Bounds on Sizes of Finite Bisimulations of Pfaffian Hybrid Systems
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    Chapter 29 Forcing with Random Variables and Proof Complexity
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    Chapter 30 Complexity-Theoretic Hierarchies
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    Chapter 31 Undecidability in the Homomorphic Quasiorder of Finite Labeled Forests
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    Chapter 32 Lower Bounds Using Kolmogorov Complexity
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    Chapter 33 The Jump Classes of Minimal Covers
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    Chapter 34 Space Bounds for Infinitary Computation
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    Chapter 35 From a Zoo to a Zoology: Descriptive Complexity for Graph Polynomials
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    Chapter 36 Towards a Trichotomy for Quantified H-Coloring
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    Chapter 37 Two Open Problems on Effective Dimension
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    Chapter 38 Optimization and Approximation Problems Related to Polynomial System Solving
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    Chapter 39 Uncomputability Below the Real Halting Problem
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    Chapter 40 Constraints on Hypercomputation
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    Chapter 41 Martingale Families and Dimension in P
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    Chapter 42 Can General Relativistic Computers Break the Turing Barrier?
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    Chapter 43 Degrees of Weakly Computable Reals
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    Chapter 44 Understanding and Using Spector’s Bar Recursive Interpretation of Classical Analysis
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    Chapter 45 A Subrecursive Refinement of the Fundamental Theorem of Algebra
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    Chapter 46 An Introduction to Program and Thread Algebra
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    Chapter 47 Fast Quantifier Elimination Means P = NP
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    Chapter 48 Admissible Representations in Computable Analysis
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    Chapter 49 Do Noetherian Modules Have Noetherian Basis Functions?
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    Chapter 50 Inverting Monotone Continuous Functions in Constructive Analysis
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    Chapter 51 Partial Recursive Functions in Martin-Löf Type Theory
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    Chapter 52 Partially Ordered Connectives and ∑1 1 on Finite Models
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    Chapter 53 Upper and Lower Bounds for the Computational Power of P Systems with Mobile Membranes
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    Chapter 54 Gödel’s Conflicting Approaches to Effective Calculability
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    Chapter 55 Co-total Enumeration Degrees
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    Chapter 56 Relativized Degree Spectra
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    Chapter 57 Phase Transition Thresholds for Some Natural Subclasses of the Computable Functions
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    Chapter 58 Non-deterministic Halting Times for Hamkins-Kidder Turing Machines
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    Chapter 59 Kurt Gödel and Computability Theory
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    Chapter 60 A Computability Theory of Real Numbers
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    Chapter 61 Primitive Recursive Selection Functions over Abstract Algebras
Attention for Chapter 40: Constraints on Hypercomputation
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Chapter title
Constraints on Hypercomputation
Chapter number 40
Book title
Logical Approaches to Computational Barriers
Published by
Springer, Berlin, Heidelberg, June 2006
DOI 10.1007/11780342_40
Book ISBNs
978-3-54-035466-6, 978-3-54-035468-0
Authors

Greg Michaelson, Paul Cockshott

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Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Other 1 100%
Readers by discipline Count As %
Computer Science 1 100%