Postselecting probabilistic finite state recognizers and verifiers

Maksims Dimitrijevs; Abuzer Yakaryılmaz

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arXiv · 1807.05169

Postselecting probabilistic finite state recognizers and verifiers

Maksims Dimitrijevs·Abuzer Yakaryılmaz

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Abstract

In this paper, we investigate the computational and verification power of bounded-error postselecting realtime probabilistic finite state automata (PostPFAs). We show that PostPFAs using rational-valued transitions can do different variants of equality checks and they can verify some nonregular unary languages. Then, we allow them to use real-valued transitions (magic-coins) and show that they can recognize uncountably many binary languages by help of a counter and verify uncountably many unary languages by help of a prover. We also present some corollaries on probabilistic counter automata.

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Maksims Dimitrijevs, Abuzer Yakaryılmaz. 2018-07-13. Postselecting probabilistic finite state recognizers and verifiers. https://arxiv.org/abs/1807.05169

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