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arXiv · 1706.02910

Myhill-Nerode Relation for Sequentiable Structures

Stefan Gerdjikov·Stoyan Mihov
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Abstract

Sequentiable structures are a subclass of monoids that generalise the free monoids and the monoid of non-negative real numbers with addition. In this paper we consider functions $f:Σ^*\rightarrow {\cal M}$ and define the Myhill-Nerode relation for these functions. We prove that a function of finite index, $n$, can be represented with a subsequential transducer with $n$ states.

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Stefan Gerdjikov, Stoyan Mihov. 2017-06-08. Myhill-Nerode Relation for Sequentiable Structures. https://arxiv.org/abs/1706.02910

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