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- W3150037243 abstract "The article presents a new interpretation for Zipf-Mandelbrot's law in natural language which rests on two areas of information theory. Firstly, we construct a new class of grammar-based codes and, secondly, we investigate properties of strongly nonergodic stationary processes. The motivation for the joint discussion is to prove a proposition with a simple informal statement: If a text of length $n$ describes $n^beta$ independent facts in a repetitive way then the text contains at least $n^beta/log n$ different words, under suitable conditions on $n$. In the formal statement, two modeling postulates are adopted. Firstly, the words are understood as nonterminal symbols of the shortest grammar-based encoding of the text. Secondly, the text is assumed to be emitted by a finite-energy strongly nonergodic source whereas the facts are binary IID variables predictable in a shift-invariant way." @default.
- W3150037243 created "2021-04-13" @default.
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- W3150037243 date "2008-10-17" @default.
- W3150037243 modified "2023-09-27" @default.
- W3150037243 title "On the Vocabulary of Grammar-Based Codes and the Logical Consistency of Texts" @default.
- W3150037243 hasPublicationYear "2008" @default.
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