Abstract
In this paper, we continue the research on accepting networks of evolutionary processors where the filters belong to several special families of regular languages. We consider families of codes or ideals and subregular families which are defined by restricting the resources needed for generating or accepting them (the number of states of the minimal deterministic finite automaton accepting a language of the family as well as the number of non-terminal symbols or the number of production rules of a right-linear grammar generating such a language). We insert the newly defined language families into the hierachy of language families obtained by using as filters languages of other subregular families (such as ordered, non-counting, power-separating, circular, suffix-closed regular, union-free, definite, combinational, finite, monoidal, nilpotent, or commutative languages).
Highlights
Networks of language processors have been introduced in [3] by Csuhaj-Varjuand Salomaa
In [20], networks of evolutionary processors were investigated where the filters are restricted by bounded resources, namely the number of non-terminal symbols or the number of production rules which are necessary for generating the languages or the number of states of a minimal deterministic finite automaton over an arbitrary alphabet which are necessary for accepting the filters
We investigate the impact of filters defined by restricting resources or by properties as being an ideal or a code for the computational power
Summary
Networks of language processors have been introduced in [3] by Csuhaj-Varjuand Salomaa. In [5], the generative capacity of networks of evolutionary processors was investigated for cases that all filters belong to a certain subfamily of the set of all regular languages. In [20], networks of evolutionary processors were investigated where the filters are restricted by bounded resources, namely the number of non-terminal symbols or the number of production rules which are necessary for generating the languages or the number of states of a minimal deterministic finite automaton over an arbitrary alphabet which are necessary for accepting the filters. In [12], the computational power of accepting networks was studied in which the filters are languages from certain subfamilies of the set of all regular languages. The language classes obtained by these types of filters are compared to those defined by structural properties (obtained in [12])
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