Uniform families of shallow P systems with active membranes and charges are known to characterize the complexity class P^#, since this kind of P systems are able to “count” the number of objects sent out by the dividing membranes. Such a power is absent in monodirectional systems, where no send-in rules are allowed: in this case, only languages in P_∥ can be recognized. Here, we show that even a tiny amount of communication (namely, allowing only a single send-in per membrane during the computation) is sufficient to achieve the ability to count and solve all problems in the class P^# ∥ , where all queries are performed independently.

Leporati, A., Manzoni, L., Mauri, G., Porreca, A., Zandron, C. (2020). Shallow laconic P systems can count. JOURNAL OF MEMBRANE COMPUTING, 2(1), 49-58 [10.1007/s41965-020-00032-4].

Shallow laconic P systems can count

Leporati, Alberto
;
Manzoni, Luca;Mauri, Giancarlo;Porreca, Antonio E.;Zandron, Claudio
2020

Abstract

Uniform families of shallow P systems with active membranes and charges are known to characterize the complexity class P^#, since this kind of P systems are able to “count” the number of objects sent out by the dividing membranes. Such a power is absent in monodirectional systems, where no send-in rules are allowed: in this case, only languages in P_∥ can be recognized. Here, we show that even a tiny amount of communication (namely, allowing only a single send-in per membrane during the computation) is sufficient to achieve the ability to count and solve all problems in the class P^# ∥ , where all queries are performed independently.
Articolo in rivista - Articolo scientifico
Counting; Laconic P systems; Send-in rules; Shallow P systems;
English
21-feb-2020
2020
2
1
49
58
reserved
Leporati, A., Manzoni, L., Mauri, G., Porreca, A., Zandron, C. (2020). Shallow laconic P systems can count. JOURNAL OF MEMBRANE COMPUTING, 2(1), 49-58 [10.1007/s41965-020-00032-4].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/269140
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