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Summary

This study explores integrated information in Boolean nets using shared variables and transitions. It quantifies information integration across different cooperation mechanisms and execution modes.

Keywords:
boolean netintegrated informationparallel composition operatorprocess algebra

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Area of Science:

  • Theoretical Computer Science
  • Information Theory
  • Complex Systems

Background:

  • Integrated Information Theory (IIT) traditionally models systems using Boolean Nets with shared variables.
  • Process Algebra offers an alternative framework where components (processes) interact via shared transitions.

Purpose of the Study:

  • To investigate how integrated information (ϕ) is affected by different cooperation mechanisms in Boolean Nets.
  • To compare shared variable cooperation with two novel shared transition mechanisms inspired by Process Algebra.

Main Methods:

  • Developed and analyzed three cooperation mechanisms (α, β, γ) for Boolean Nets.
  • Quantified integrated information (ϕ) under synchronous, asynchronous, and hybrid execution modes.
  • Explored varying coupling degrees and two definitions of distribution distance for ϕ.

Main Results:

  • Collected statistical data on integrated information (ϕ) for all three mechanisms and execution modes.
  • Demonstrated the impact of cooperation type and execution mode on information integration.
  • Provided quantitative characterizations of information integration under diverse conditions.

Conclusions:

  • The study validates the applicability of integrated information concepts beyond traditional shared variable models.
  • Findings highlight the influence of cooperation and execution dynamics on emergent system properties.
  • Offers a framework for analyzing information integration in systems with diverse interaction patterns.