Probability and Program-Size for Functions

Authors:
Gregory Chaitin
Affiliations:
IBM T. J. Watson Research Center P.O. Box 218, Yorktown Heights NY 10598, U.S.A. E-mail: chaitin@us.ibm.com
Venue:
Fundamenta Informaticae
Year:
2006

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Abstract

We show that unlike the general case of the relationship between algorithmic probability and program-size for enumerating sets, in the case of the graphs of total functions these two quantities are closely related.