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