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Modelling of chance discovery in variations of linear temporal logic implementing agents' interaction

Rybakov, Vladimir V. (2010) Modelling of chance discovery in variations of linear temporal logic implementing agents' interaction. ISSN 1755-0394

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Abstract

The paper constructs a mathematical model for logical properties of Chance Discovery (CD) based on Linear Temporal Logic (LTL). We study an extension LTLIACD of LTL by implementing multi-agent knowledge logic Km and special operations to model discovery: discoverable via interaction (unary) operation DIA and (unary) operations for local and global discovery: ◊D,l and ◊D,g. We prove that LTLIACD is decidable and extend this result to a linear temporal logic LTLIACD (Z) based on the time flow indexed by all integer numbers.

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