Published March 10, 2016 | Version v1
Publication

Small Universal Antiport P Systems and Universal Multiset Grammars

Description

Based on the construction of a universal register machine we construct a universal antiport P system working with 31 rules in the maximally parallel mode in one membrane, and a universal antiport P system with forbidden context working with 16 rules in the sequential derivation mode in one membrane for computing any partial recursive function on the set of natural numbers. For accepting/generating any arbitrary recursively enumerable set of natural numbers we need 31/33 and 16/18 rules, respectively. As a consequence of the result for antiport P systems with forbidden context we immediately infer similar results for forbidden random context multiset grammars with arbitrary rules.

Additional details

Identifiers

URL
https://idus.us.es/handle/11441/38323
URN
urn:oai:idus.us.es:11441/38323