@article{CaZi20a,
author = {Merve Cakir and Karl-Heinz Zimmermann},
title = {Stochastic Automata over Monoids.},
journal = {arXiv.},
year = {2020},
month = {January},
note = {khzimmermann, AEG},
series = {https://arxiv.org/pdf/2002.01214.pdf},
howpublished = {CaZi20a},
abstract = {Stochastic automata over monoids as input sets are studied. The well-definedness of these automata requires an extension postulate that replaces the inherent universal property of free monoids. As a generalization of Turakainen's result, it will be shown that the generalized automata over monoids have the same acceptance power as their stochastic counterparts. The key to homomorphisms is a commuting property between the monoid homomorphism of the input states and the monoid homomorphism of transition matrices. Closure properties of the languages accepted by stochastic automata over monoids are investigated.}
}

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