MATHEMATICAL STUDIES FOR SELF-ORGANIZING SYSTEMS.

Abstract

Probably the most significant contribution to result from this study is the greater insight into the characteristics of an interesting self-organization system and a reasonable specification of the elementary properties of such systems. A second major contribution has been the detailed description of a universal self-organizing system in the form of a vertex-labelled graph; a direct relation has been established between one such graph and the behavioral description of a universal Turing machine. It is important to note that the resulting 'computing graph' was then extended to include the capability of self-reproduction, a far-reaching result in its own right, and particularly significant in that self-reproduction is accomplished through a process of self-organization. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1968
Accession Number
AD0681143

Entities

People

  • Amy L. Atlas
  • Giorgio Ingargiola
  • Morris Rubinoff

Organizations

  • University of Pennsylvania

Tags

DTIC Thesaurus Topics

  • Automata
  • Machines
  • Self Organizing Systems
  • Specifications

Readers

  • Computer Engineering
  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.