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Paper detail

A Quasiorder-based Perspective on Residual Automata

In this work, we define a framework of automata constructions based on quasiorders over words to provide new insights on the class of residual automata. We present a new residualization operation and a generalized double-reversal method for building the canonical residual automaton for a given language. Finally, we use our framework to offer a quasiorder-based perspective on NL*, an online learning algorithm for residual automata. We conclude that quasiorders are fundamental to residual automata as congruences are to deterministic automata.

preprint2020arXivOpen access
Pierre GantyElena GutiérrezPedro Valero
Formal Languages and Automata Theory
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Pierre GantyElena GutiérrezPedro Valero

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