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On probabilistic analog automata | | A. Ben-Hur
; A. Roitershtein
; H. Siegelmann
; | | Date: |
29 Apr 2003 | | Subject: | Other ACM-class: F.1.1; F.1.2 | cs.OH | | Abstract: | We consider probabilistic automata on a general state space and study their computational power. The model is based on the concept of language recognition by probabilistic automata due to Rabin and models of analog computation in a noisy environment suggested by Maass and Orponen, and Maass and Sontag. Our main result is a generalization of Rabin’s reduction theorem that implies that under very mild conditions, the computational power of the automaton is limited to regular languages. | | Source: | arXiv, cs.OH/0304042 | | Services: | Forum | Review | PDF | Favorites | |
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