Inter- and intracellular computation models based on Boolean vs. non-Boolean inconsistency

Yukio Pegio Gunji*, Hisato Sadaoka, Keisuke Ito

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


Systems involving both intracellular and intercellular computation are destined to be described as non-computable. We propose a model for such systems by introducing the inconsistent relation of Boolean and non-Boolean logic. Cellular automata fashioned model exhibits an evolution like class 4 located at the edge of chaos, while there is no local rule for universality existing over the whole space in our model. A system featuring the inconsistent vertical scheme is approximately articulated into a hierarchical system, whose wholeness cannot be deduced by any approximated local rule. In other words, undecidability between a part and whole comprises a hierarchical structure.

Original languageEnglish
Pages (from-to)213-217
Number of pages5
Issue number2-3
Publication statusPublished - 1995
Externally publishedYes


  • Computability
  • Edge of chaos
  • Measurement
  • Non-Boolean logic

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Applied Mathematics


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