Random reals and possibly infinite computations Part I: Randomness in ∅'

Journal of Symbolic Logic 70 (3):891-913 (2005)
  Copy   BIBTEX

Abstract

Using possibly infinite computations on universal monotone Turing machines, we prove Martin-Löf randomness in ∅' of the probability that the output be in some set

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,098

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Kolmogorov complexity for possibly infinite computations.Verónica Becher & Santiago Figueira - 2005 - Journal of Logic, Language and Information 14 (2):133-148.
Schnorr randomness.Rodney G. Downey & Evan J. Griffiths - 2004 - Journal of Symbolic Logic 69 (2):533-554.
Schnorr Randomness.Rodney G. Downey & Evan J. Griffiths - 2004 - Journal of Symbolic Logic 69 (2):533 - 554.
Infinite Computations with Random Oracles.Merlin Carl & Philipp Schlicht - 2017 - Notre Dame Journal of Formal Logic 58 (2):249-270.
Computational randomness and lowness.Sebastiaan A. Terwijn & Domenico Zambella - 2001 - Journal of Symbolic Logic 66 (3):1199-1205.
Computational Randomness and Lowness.Sebastiaan Terwijn & Domenico Zambella - 2001 - Journal of Symbolic Logic 66 (3):1199-1205.
Computably enumerable sets below random sets.André Nies - 2012 - Annals of Pure and Applied Logic 163 (11):1596-1610.

Analytics

Added to PP
2010-08-24

Downloads
82 (#209,892)

6 months
41 (#98,786)

Historical graph of downloads
How can I increase my downloads?

References found in this work

On Computable Numbers, with an Application to the Entscheidungsproblem.Alan Turing - 1936 - Proceedings of the London Mathematical Society 42 (1):230-265.
Theory of Recursive Functions and Effective Computability.Hartley Rogers - 1971 - Journal of Symbolic Logic 36 (1):141-146.
Descriptive Set Theory.Richard Mansfield - 1981 - Journal of Symbolic Logic 46 (4):874-876.
Descriptive Set Theory.Yiannis Nicholas Moschovakis - 1982 - Studia Logica 41 (4):429-430.

View all 8 references / Add more references