2016-03-152016-03-1520079788461167760http://hdl.handle.net/11441/38528Tissue P systems are a computing model in the framework of Membrane Computing where the tree-like membrane structure is replaced by a general graph. Recently, it has been shown that endowing these P systems with cell division, NP-complete problems can be solved in polynomial time. In this paper we present a solution to the Subset Sum problem via a family of such devices, and we also include the formal verification of such solution. This is the first solution to a numerical NP-complete problem by using tissue P systems with cell division.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccesshttps://idus.us.es/xmlui/handle/11441/38528