Abstract:A deterministic L system generates an infinite word α if each word in its derivation sequence is a prefix of the next, yielding α as a limit. We generalize this notion to arbitrary L systems via the concept of prefix languages. A prefix language is a language L such that for all x, y ∈ L, x is a prefix of y or y is a prefix of x. Every infinite prefix language determines a single infinite word. Where C is a class of L systems (e.g. 0L, DT0L), we denote by ω(C) the class of infinite words determined by the pref… Show more
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