Critical Behavior in Physics and Probabilistic Formal Languages

We show that the mutual information between two symbols, as a function of the number of symbols between the two, decays exponentially in any probabilistic regular grammar, but can decay like a power law for a context-free grammar. This result about formal languages is closely related to a well-known...

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Bibliographic Details
Main Authors: Lin, Henry, Tegmark, Max, Tegmark, Max Erik
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Published: MDPI AG 2018
Online Access:http://hdl.handle.net/1721.1/114221
https://orcid.org/0000-0001-7670-7190