Inductively Computable Hierarchies and Inductive Algorithmic Complexity

Inductively Computable Hierarchies and Inductive Algorithmic Complexity

Mark Burgin

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University of California, Los Angeles

Inductively Computable Hierarchies and Inductive Algorithmic Complexity

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Abstract

Induction is a prevalent cognitive method in science, while inductive computations are popular in many fields of computer and network technology. The most advanced mathematical model of inductive computations and reasoning is an inductive Turing machine, which is natural extension of the most widespread model of computing devices and computations -Turing machine. In comparison with Turing machines, inductive Turing machines represent the next step in the development of computer science providing better models for contemporary computers and computer networks. In this paper (Section 3), we study relations between inductively computable sets, inductively recognizable sets, inductively decidable sets and inductively computable functions. In addition (Section 4), we apply the obtained results to algorithmic information theory demonstrating how inductive Turing machines allow obtaining more information for essentially decreasing complexity in comparison with Turing machines.

References

13 Cites in Article

Reference Format

Vieri Benci,C Bonanno,Stefano Galatolo,G Menconi,M Virgilio (2002). Dynamical systems and computable information.
A Beros (2013). Learning Theory in the Arithmetical Hierarchy.
M Burgin (1990). Generalized Kolmogorov Complexity and other Dual Complexity Measures.
M Burgin (1999). Super-recursive Algorithms as a Tool for High Performance Computing.
M Burgin (2004). Algorithmic Complexity of Recursive and Inductive Algorithms.
M Burgin (2005). Super-recursive Algorithms.
M Burgin (2006). Algorithmic Control in Concurrent Computations.
M Burgin (2010). Theory of Information: Fundamentality, Diversity and Unification.
M Burgin (2010). Algorithmic Complexity of Computational Problems.
M Burgin (2010). Measuring Power of Algorithms, Computer Programs, and Information Automata.
Mark Burgin,Cristian Calude,Elena Calude (2011). INDUCTIVE COMPLEXITY MEASURES FOR MATHEMATICAL PROBLEMS.
Ulvi Yurtsever (2000). Quantum mechanics and algorithmic randomness.
W Zurek (1990). Algorithmic information content, Church-Turing thesis, physical entropy, and Maxwell's demon.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Mark Burgin. 2016. \u201cInductively Computable Hierarchies and Inductive Algorithmic Complexity\u201d. Global Journal of Computer Science and Technology - H: Information & Technology GJCST-H Volume 16 (GJCST Volume 16 Issue H1).

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GJCST Volume 16 Issue H1

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Journal Specifications

Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

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Classification

F.1.3 F.2.2

Submission ReceivedDecember 14, 2015
Peer Review Double Blind
Handling Editor
Accepted January 4, 2016
Published January 15, 2016

Version of record

v1.2

Issue date

March 4, 2016

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Article Matrices

Total Score: 131

Country: United States

Subject: Global Journal of Computer Science and Technology - H: Information & Technology

Authors: Mark Burgin (PhD/Dr. count: 0)

View Count (all-time): 290

Total Views (Real + Logic): 7689

Total Downloads (simulated): 2005

Publish Date: 2016 03, Fri

Monthly Totals (Real + Logic):

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Total Views: 7689

Total Downloads: 2005

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