The convergence of functions to fixedpoints of recursive definitions
The convergence of functions to fixedpoints of recursive definitions
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Available Online:
https://purl.stanford.edu/pw969qk2499
Title:
The convergence of functions to fixedpoints of recursive definitions
Relation:
Stanford University. Libraries. Department of Special Collections and University Archives3840/2https://purl.stanford.edu/pw969qk2499, Stanford University, Department of Computer Science, Technical Reports, and Stanford Artificial Intelligence Laboratory records, 1963-2009
PublishDate:
2021-02-05T23:26:11Z
Description:
The classical method for constructing the least fixedpoint of a recursive definition is to generate a sequence of functions whose initial element is the totally undefined function and which converges to the desired least fixedpoint. This method, due to Kleene, cannot be generalized to allow the construction of other fixedpoints. In this paper we present an alternate definition of convergence and a new fixedpoint access method of generating sequences of functions for a given recursive definition. The initial function of the sequence can be an arbitrary function, and the sequence will always converge to a fixedpoint that is "close" to the initial function. This defines a monotonic mapping from the set of partial functions onto the set of all fixedpoints of the given recursive definition.
Identifier:
CS-TR-1977-614
Contributor:
Manna, Z ohar (autAuthor) and Shamir, Adi (autAuthor)
Type:
Text and technical reports
Date:
1977-05-01
Language:
engEnglish
Format:
1 text file, technical reports, and image/jpeg
Subject:
Stanford University. Computer Science Department and Computer science