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State complexity of deterministic Watson–Crick automata and time varying Watson–Crick automata

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Abstract

Watson–Crick automata are finite automata working on double strands. Extensive research work has already been done on non-deterministic Watson–Crick automata and on deterministic Watson–Crick automata. State complexity of Watson–Crick automata has also been discussed. In this paper we analyze the state complexity of deterministic Watson–Crick automata with respect to non-deterministic block automata and non-deterministic finite automata. We also introduce new finite automata combining the properties of Watson–Crick automata and time varying automata. These automata have the unique property that the 1-limited stateless variant of these automata have the power to count. We further discuss the state complexity of time varying automata and time varying Watson–Crick automata.

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Authors and Affiliations

  1. Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, 108, India

    Kumar Sankar Ray, Kingshuk Chatterjee & Debayan Ganguly

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  1. Kumar Sankar Ray
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  2. Kingshuk Chatterjee
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  3. Debayan Ganguly
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Correspondence to Kumar Sankar Ray.

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Ray, K.S., Chatterjee, K. & Ganguly, D. State complexity of deterministic Watson–Crick automata and time varying Watson–Crick automata. Nat Comput 14, 691–699 (2015). https://doi.org/10.1007/s11047-015-9494-5

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  • DOI: https://doi.org/10.1007/s11047-015-9494-5

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