It is a very common procedure in biology to observe the progress of an experiment and regard the result of this observation as the final outcome. Inspired by this, a new approach for generating formal languages, called evolution/observation, has been introduced [6]. In the current work we consider evolution/observation as a new strategy also for accepting languages: a word is accepted, if the (observed) evolution of a certain system starting from this input follows a regular pattern. We obtain the following result: checking if the (observed) evolution of a context-free system follows a regular pattern is enough to accept every recursively enumerable languages. On the other hand, if we observe the evolution of systems using very simple rules (of the kind a → b), then it is possible to accept exactly the class of context-sensitive languages. © Springer-Verlag Berlin Heidelberg 2005.
Evolution and observation: A non-standard way to accept formal languages / Cavaliere, M.; Leupold, P.. - 3354:(2005), pp. 153-163. (Intervento presentato al convegno 4th International Conference on Machines, Computations, and Universality, MCU 2004 tenutosi a Saint Petersburg, rus nel 2004) [10.1007/978-3-540-31834-7_12].
Evolution and observation: A non-standard way to accept formal languages
Cavaliere M.;
2005
Abstract
It is a very common procedure in biology to observe the progress of an experiment and regard the result of this observation as the final outcome. Inspired by this, a new approach for generating formal languages, called evolution/observation, has been introduced [6]. In the current work we consider evolution/observation as a new strategy also for accepting languages: a word is accepted, if the (observed) evolution of a certain system starting from this input follows a regular pattern. We obtain the following result: checking if the (observed) evolution of a context-free system follows a regular pattern is enough to accept every recursively enumerable languages. On the other hand, if we observe the evolution of systems using very simple rules (of the kind a → b), then it is possible to accept exactly the class of context-sensitive languages. © Springer-Verlag Berlin Heidelberg 2005.
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