Watson-Crick walks and roads on DOL graphs
Acta Cybernetica
DNA Computing, Matching Systems, and Universality
DNA Computing, Matching Systems, and Universality
Journal of Automata, Languages and Combinatorics
On the power of parallel communicating Watson-Crick automata systems
Theoretical Computer Science
On the descriptional complexity of Watson-Crick automata
Theoretical Computer Science
5′ → 3′ Watson-Crick Automata With Several Runs
Fundamenta Informaticae - Non-Classical Models of Automata and Applications
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In [4, page166], it is asked what influence the complementarity relation plays as far as the expressiveness of sticker systems and Watson-Crick automata are concerned. Here, we give the answer: (almost) none! More precisely, we show that every language L of a sticker system or a Watson-Crick automaton is the language of such a system with a one-to-one complementarity relation. Our second group of results shows that L is the inverse block coding of a language from the same family over any nontrivial fixed complementarity relation. Finally, we prove that any Watson-Crick automaton can be transformed into an equivalent simple and all-final one. This implies the collapse of parts of the hierarchy introduced in [4].