Enumerating Finitary Processes.

Entropy (Basel)

DPMMS, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UK.

Published: December 2024

We show how to efficiently enumerate a class of finite-memory stochastic processes using the causal representation of ϵ-machines. We characterize ϵ-machines in the language of automata theory and adapt a recent algorithm for generating accessible deterministic finite automata, pruning this over-large class down to that of ϵ-machines. As an application, we exactly enumerate topological ϵ-machines up to eight states and six-letter alphabets.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11675669PMC
http://dx.doi.org/10.3390/e26121105DOI Listing

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