{"id":"https://openalex.org/W2615358819","doi":"https://doi.org/10.1142/s0129054117500162","title":"Minimal Reaction Systems Revisited and Reaction System Rank","display_name":"Minimal Reaction Systems Revisited and Reaction System Rank","publication_year":2017,"publication_date":"2017-04-01","ids":{"openalex":"https://openalex.org/W2615358819","doi":"https://doi.org/10.1142/s0129054117500162","mag":"2615358819"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054117500162","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054117500162","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016448403","display_name":"Wen Chean Teh","orcid":"https://orcid.org/0000-0001-8424-9820"},"institutions":[{"id":"https://openalex.org/I139322472","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63","country_code":"MY","type":"education","lineage":["https://openalex.org/I139322472"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Wen Chean Teh","raw_affiliation_strings":["School of Mathematical Sciences, Universiti Sains Malaysia 11800 USM, Malaysia"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia 11800 USM, Malaysia","institution_ids":["https://openalex.org/I139322472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076821796","display_name":"Adrian Atanasiu","orcid":"https://orcid.org/0000-0002-7117-7394"},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Adrian Atanasiu","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Bucharest University Str. Academiei 14, Bucharest 010014, Romania"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Bucharest University Str. Academiei 14, Bucharest 010014, Romania","institution_ids":["https://openalex.org/I141595442"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016448403"],"corresponding_institution_ids":["https://openalex.org/I139322472"],"apc_list":null,"apc_paid":null,"fwci":0.319,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.57247701,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"28","issue":"03","first_page":"247","last_page":"261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10911","display_name":"Chemical Synthesis and Analysis","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7037543058395386},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.6713153123855591},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6614878177642822},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6552940011024475},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5653306245803833},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.498333215713501},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36041343212127686},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.349104642868042},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.29012730717658997},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19046831130981445},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05241557955741882},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.04936710000038147}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7037543058395386},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.6713153123855591},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6614878177642822},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6552940011024475},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5653306245803833},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.498333215713501},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36041343212127686},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.349104642868042},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29012730717658997},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19046831130981445},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05241557955741882},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.04936710000038147},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054117500162","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054117500162","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W588789200","https://openalex.org/W1972648361","https://openalex.org/W1992112582","https://openalex.org/W2002668213","https://openalex.org/W2003063390","https://openalex.org/W2019624322","https://openalex.org/W2023752208","https://openalex.org/W2057636423","https://openalex.org/W2093960806","https://openalex.org/W2116509046","https://openalex.org/W2215907076","https://openalex.org/W2242549088","https://openalex.org/W2621002426","https://openalex.org/W2911301805","https://openalex.org/W4210779110"],"related_works":["https://openalex.org/W2062781507","https://openalex.org/W2327188743","https://openalex.org/W2044860640","https://openalex.org/W2088849544","https://openalex.org/W4234996786","https://openalex.org/W2087734572","https://openalex.org/W4230292203","https://openalex.org/W3102408541","https://openalex.org/W3098790080","https://openalex.org/W3100194145"],"abstract_inverted_index":{"Some":[0],"mathematical":[1],"aspects":[2],"of":[3,22,31,35,45,58,86],"reaction":[4,27,59],"systems":[5,28],"introduced":[6,56],"by":[7,25],"Ehrenfeucht":[8,13],"and":[9],"Rozenberg":[10],"are":[11],"considered.":[12],"et":[14],"al.":[15],"have":[16],"previously":[17],"obtained":[18],"a":[19,42,80],"complete":[20],"classification":[21,47,88],"functions":[23,65],"specified":[24,37],"minimal":[26],"in":[29,83],"terms":[30],"certain":[32],"closure":[33],"properties":[34],"the":[36,54,76,84,87],"functions.":[38],"In":[39],"this":[40,46,68],"work,":[41],"refined":[43],"proof":[44,85],"with":[48],"slight":[49],"extension":[50],"is":[51,62],"obtained.":[52],"Furthemore,":[53],"recently":[55],"notion":[57],"system":[60],"rank":[61],"studied":[63],"for":[64,73],"belonging":[66],"to":[67],"class,":[69],"as":[70,72],"well":[71],"focus":[74],"functions,":[75],"latter":[77],"which":[78],"play":[79],"significant":[81],"role":[82],"theorem.":[89]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}