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A SURVEY OF MATHEMATICAL THEORY OF L SYSTEMS
Fitting classes of languages into known formal language theoretic
Structural constraints on L systems
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algebra algorithm alphabet apical axiom biological called cell Chomsky hierarchy circular words Computer Science construct context dependent context L-languages context sensitive context-free context-free grammars context-sensitive languages Corollary defined Definition denoted derivation deterministic developmental systems DOL system Ehrenfeucht EOL languages equivalence problem ETOL Example exists family of languages filament finite set flowers formal language theory free group given global context L-system grammars growth function growth type Herman heterocyst homomorphism integer interactions internode L-system G latent organism Lemma length Let G letter letter alphabet Lindenmayer systems locally catenative mapping mother branch n-algebra n-word nonempty nonterminals notation occurs order branches parallel rewriting PD1L PD2L plant polynomial positive integer Proof recurrence relation regular global context regular languages restriction Rozenberg Salomaa sequence simulation step string structure subset subwords symbols system G system with rank systems and languages Theorem undecidable