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arXiv · 1401.5277

Towards a Uniform Theory of Effectful State Machines

Sergey Goncharov·Stefan Milius·Alexandra Silva
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Abstract

Using recent developments in coalgebraic and monad-based semantics, we present a uniform study of various notions of machines, e.g. finite state machines, multi-stack machines, Turing machines, valence automata, and weighted automata. They are instances of Jacobs' notion of a T-automaton, where T is a monad. We show that the generic language semantics for T-automata correctly instantiates the usual language semantics for a number of known classes of machines/languages, including regular, context-free, recursively-enumerable and various subclasses of context free languages (e.g. deterministic and real-time ones). Moreover, our approach provides new generic techniques for studying the expressivity power of various machine-based models.

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Sergey Goncharov, Stefan Milius, Alexandra Silva. 2014-01-21. Towards a Uniform Theory of Effectful State Machines. https://doi.org/10.1145/3372880

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