Time reverse automata patterns generated by Spencer-Brown's modulator: invertibility based on autopoiesis

Yukio Gunji, Takashi Nakamura

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

In the present paper the self-consistency or operational closure of autopoiesis is described by introducing time explicitly. It is an extension of Spencer-Brown's idea of time, however. The definition of time is segregated into two parts, corresponding to the syntax and semantics of language, respectively. In this context, time reversibility is defined by the formalization of the relationship between time and self-consistency. This idea has also been discussed in the context of designation and/or naming. Here we will discuss it in the context of cellular automata and explain the structure of one-to-many type mappings. Our approach is the first attempt to extend autopoietic systems in terms of dynamics. It illustrates how to introduce an autopoietic time which looks irreversible, but without the concept of entropy.

Original languageEnglish
Pages (from-to)151-177
Number of pages27
JournalBioSystems
Volume25
Issue number3
DOIs
Publication statusPublished - 1991
Externally publishedYes

Fingerprint

Autopoiesis
Invertibility
Cellular automata
Modulator
entropy
Modulators
Automata
Reverse
Entropy
Semantics
Self-consistency
Time Consistency
Time Reversibility
One to many
Formalization
Cellular Automata
Closure
cellular automaton
Language
Context

Keywords

  • Cellular automata
  • Forward- and backward-time
  • Invertibility
  • Local and non-local computation
  • Modulator

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Biotechnology
  • Drug Discovery

Cite this

Time reverse automata patterns generated by Spencer-Brown's modulator : invertibility based on autopoiesis. / Gunji, Yukio; Nakamura, Takashi.

In: BioSystems, Vol. 25, No. 3, 1991, p. 151-177.

Research output: Contribution to journalArticle

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