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- W264273634 abstract "L systems were originated by Aristid Lindenmayer in connection with biological considerations in 1968. The theory of L systems has a great impact on formal language theory. Two main features of the theory of L systems are parallelism in the rewriting process and the notion of a grammar conceived as a description of a dynamic process, rather than of a static one. L systems have enriched the theory of formal languages and also been able to put the theory in a totally new perspective. This chapter discusses the mathematical theory of L systems. One of the outstanding features of the theory of L systems is that its core fits into a systematic and basic mathematical framework formed by single or several iterated homomorphisms or finite substitutions on a free monoid. The chapter discusses this systematic framework. The basic construct of L systems theory is the daily oral language (DOL) system. A DOL system represents a basic mathematical structure—the iteration of a single homomorphism on a free monoid. Although mathematically most simple, DOL systems give a clear insight into the essential ideas and techniques behind L systems and parallel rewriting in general." @default.
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- W264273634 date "1980-01-01" @default.
- W264273634 modified "2023-10-18" @default.
- W264273634 title "A SURVEY OF RESULTS AND OPEN PROBLEMS IN THE MATHEMATICAL THEORY OF L SYSTEMS1" @default.
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- W264273634 doi "https://doi.org/10.1016/b978-0-12-115350-2.50013-0" @default.
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