Matches in SemOpenAlex for { <https://semopenalex.org/work/W2009647777> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2009647777 endingPage "85" @default.
- W2009647777 startingPage "61" @default.
- W2009647777 abstract "First, we consider P systems with active membranes, hence with the possibility that the membranes can be divided, with non-cooperating evolution rules (the objects always evolve separately). These systems are known to be able to solve NP-complete problems in linear time. Here we give a normal form theorem for such systems: their computational universality is preserved even if only the elementary membranes are divided. The possibility of solving SAT in linear time is preserved only when non-elementary membranes may also be divided under the influence of objects in their region. Second, we consider a slight generalization, namely, we allow that a membrane can produce by division both a copy of itself and a copy of a membrane with a different label; again, only elementary membranes may be divided. In this case, we prove that the hierarchy on the maximal number of membranes present in the system collapses: three membranes at a time are sufficient in order to characterize the recursively enumerable sets of vectors of natural numbers. This result is optimal, two membranes are shown not to be sufficient. Third, we consider P systems with cooperating rules (several objects may evolve together). Making use of this powerful feature, we show that many NP-complete problems can be solved in linear time in a quite uniform way (by systems which are very similar to each other), using only elementary membranes division (and not further ingredients, such as electrical charges). The degree of cooperation is minimal: two objects at a time." @default.
- W2009647777 created "2016-06-24" @default.
- W2009647777 creator A5011386170 @default.
- W2009647777 creator A5033077581 @default.
- W2009647777 creator A5044257058 @default.
- W2009647777 creator A5063909273 @default.
- W2009647777 date "2004-09-01" @default.
- W2009647777 modified "2023-10-01" @default.
- W2009647777 title "On the power of membrane division in P systems" @default.
- W2009647777 cites W116734314 @default.
- W2009647777 cites W1515624550 @default.
- W2009647777 cites W1525658795 @default.
- W2009647777 cites W1584587517 @default.
- W2009647777 cites W1607601471 @default.
- W2009647777 cites W1639137466 @default.
- W2009647777 cites W165533113 @default.
- W2009647777 cites W1859552527 @default.
- W2009647777 cites W2003134302 @default.
- W2009647777 cites W2011039300 @default.
- W2009647777 cites W204069064 @default.
- W2009647777 cites W2091674379 @default.
- W2009647777 cites W2158708642 @default.
- W2009647777 cites W2162335330 @default.
- W2009647777 cites W2492129106 @default.
- W2009647777 cites W2542033246 @default.
- W2009647777 cites W3005708683 @default.
- W2009647777 cites W326951767 @default.
- W2009647777 cites W35985636 @default.
- W2009647777 cites W67377139 @default.
- W2009647777 cites W2276104184 @default.
- W2009647777 cites W2891212941 @default.
- W2009647777 doi "https://doi.org/10.1016/j.tcs.2004.03.053" @default.
- W2009647777 hasPublicationYear "2004" @default.
- W2009647777 type Work @default.
- W2009647777 sameAs 2009647777 @default.
- W2009647777 citedByCount "45" @default.
- W2009647777 countsByYear W20096477772013 @default.
- W2009647777 countsByYear W20096477772014 @default.
- W2009647777 countsByYear W20096477772015 @default.
- W2009647777 countsByYear W20096477772016 @default.
- W2009647777 countsByYear W20096477772017 @default.
- W2009647777 countsByYear W20096477772018 @default.
- W2009647777 countsByYear W20096477772019 @default.
- W2009647777 countsByYear W20096477772020 @default.
- W2009647777 countsByYear W20096477772021 @default.
- W2009647777 crossrefType "journal-article" @default.
- W2009647777 hasAuthorship W2009647777A5011386170 @default.
- W2009647777 hasAuthorship W2009647777A5033077581 @default.
- W2009647777 hasAuthorship W2009647777A5044257058 @default.
- W2009647777 hasAuthorship W2009647777A5063909273 @default.
- W2009647777 hasBestOaLocation W20096477771 @default.
- W2009647777 hasConcept C121332964 @default.
- W2009647777 hasConcept C163258240 @default.
- W2009647777 hasConcept C33923547 @default.
- W2009647777 hasConcept C41008148 @default.
- W2009647777 hasConcept C60798267 @default.
- W2009647777 hasConcept C62520636 @default.
- W2009647777 hasConcept C94375191 @default.
- W2009647777 hasConceptScore W2009647777C121332964 @default.
- W2009647777 hasConceptScore W2009647777C163258240 @default.
- W2009647777 hasConceptScore W2009647777C33923547 @default.
- W2009647777 hasConceptScore W2009647777C41008148 @default.
- W2009647777 hasConceptScore W2009647777C60798267 @default.
- W2009647777 hasConceptScore W2009647777C62520636 @default.
- W2009647777 hasConceptScore W2009647777C94375191 @default.
- W2009647777 hasIssue "1" @default.
- W2009647777 hasLocation W20096477771 @default.
- W2009647777 hasOpenAccess W2009647777 @default.
- W2009647777 hasPrimaryLocation W20096477771 @default.
- W2009647777 hasRelatedWork W1973997298 @default.
- W2009647777 hasRelatedWork W2036954759 @default.
- W2009647777 hasRelatedWork W2048386812 @default.
- W2009647777 hasRelatedWork W2049680169 @default.
- W2009647777 hasRelatedWork W2140068691 @default.
- W2009647777 hasRelatedWork W2506252583 @default.
- W2009647777 hasRelatedWork W3123593688 @default.
- W2009647777 hasRelatedWork W4200435726 @default.
- W2009647777 hasRelatedWork W4238090084 @default.
- W2009647777 hasRelatedWork W4250259953 @default.
- W2009647777 hasVolume "324" @default.
- W2009647777 isParatext "false" @default.
- W2009647777 isRetracted "false" @default.
- W2009647777 magId "2009647777" @default.
- W2009647777 workType "article" @default.