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Beyond the Horizon of Computability

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Cover of 'Beyond the Horizon of Computability'

Table of Contents

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    Book Overview
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    Chapter 1 A Note on Computable Embeddings for Ordinals and Their Reverses
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    Chapter 2 Clockability for Ordinal Turing Machines
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    Chapter 3 Some Notes on Spaces of Ideals and Computable Topology
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    Chapter 4 Parallelizations in Weihrauch Reducibility and Constructive Reverse Mathematics
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    Chapter 5 Liouville Numbers and the Computational Complexity of Changing Bases
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    Chapter 6 On Interpretability Between Some Weak Essentially Undecidable Theories
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    Chapter 7 On the Complexity of Conversion Between Classic Real Number Representations
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    Chapter 8 Deterministic and Nondeterministic Iterated Uniform Finite-State Transducers: Computational and Descriptional Power
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    Chapter 9 Computable Analysis and Classification Problems
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    Chapter 10 Non-coding Enumeration Operators
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    Chapter 11 On the Interplay Between Inductive Inference of Recursive Functions, Complexity Theory and Recursive Numberings
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    Chapter 12 Prawf : An Interactive Proof System for Program Extraction
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    Chapter 13 ASNP: A Tame Fragment of Existential Second-Order Logic
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    Chapter 14 Ackermannian Goodstein Sequences of Intermediate Growth
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    Chapter 15 On the Complexity of Validity Degrees in Łukasiewicz Logic
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    Chapter 16 Degrees of Non-computability of Homeomorphism Types of Polish Spaces
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    Chapter 17 Time-Aware Uniformization of Winning Strategies
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    Chapter 18 Quantitative Coding and Complexity Theory of Compact Metric Spaces
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    Chapter 19 Functions of Baire Class One over a Bishop Topology
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    Chapter 20 Combinatorial Properties of Degree Sequences of 3-Uniform Hypergraphs Arising from Saind Arrays
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    Chapter 21 The Computational Significance of Hausdorff’s Maximal Chain Principle
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    Chapter 22 Number of Prefixes in Trace Monoids: Clique Polynomials and Dependency Graphs
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    Chapter 23 Repetitions in Toeplitz Words and the Thue Threshold
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    Chapter 24 On Simulation in Automata Networks
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    Chapter 25 Theoretical and Implementational Aspects of the Formal Language Server (LaSer)
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    Chapter 26 Balancing Straight-Line Programs for Strings and Trees
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    Chapter 27 Two-Dimensional Codes
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    Chapter 28 Formal Languages in Information Extraction and Graph Databases
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    Chapter 29 On the Perceptron’s Compression
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    Chapter 30 #P-completeness of Counting Update Digraphs, Cacti, and Series-Parallel Decomposition Method
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    Chapter 31 Faster Online Computation of the Succinct Longest Previous Factor Array
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    Chapter 32 Recent Advances in Text-to-Pattern Distance Algorithms
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    Chapter 33 Insertion-Deletion Systems with Substitutions I
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Chapter title
Prawf : An Interactive Proof System for Program Extraction
Chapter number 12
Book title
Beyond the Horizon of Computability
Published in
Beyond the Horizon of Computability, June 2020
DOI 10.1007/978-3-030-51466-2_12
Book ISBNs
978-3-03-051465-5, 978-3-03-051466-2
Authors

Ulrich Berger, Olga Petrovska, Hideki Tsuiki, Berger, Ulrich, Petrovska, Olga, Tsuiki, Hideki

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