Feedback, iteration and repetition
نویسنده
چکیده
This paper provides a comparison of three looping operations: Kleene’s repetition (‘star’), Elgot’s iteration (‘dagger’) and feedback (‘up arrow’). The comparison is based on an algebraic study of an algebra for flowgraphs (this is a generic name for digraph models like: automata, nets, flowchart schemes, etc.), called biflow. Equivalent presentations of biflows and biflows over algebraic or matrix theories are given using these operations. Finally, there are given extensions of these algebras to cope with axiomatisations of the regular languages and the regular trees.
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