{"id":"https://openalex.org/W4285555445","doi":"https://doi.org/10.1007/978-3-030-93489-7_6","title":"State Complexity Investigations on\u00a0Commutative Languages \u2013 the\u00a0Upward and\u00a0Downward Closure, Commutative Aperiodic and\u00a0Commutative Group Languages","display_name":"State Complexity Investigations on\u00a0Commutative Languages \u2013 the\u00a0Upward and\u00a0Downward Closure, Commutative Aperiodic and\u00a0Commutative Group Languages","publication_year":2021,"publication_date":"2021-09-05","ids":{"openalex":"https://openalex.org/W4285555445","doi":"https://doi.org/10.1007/978-3-030-93489-7_6"},"language":"en","primary_location":{"id":"pmh:oai:HAL:hal-05601988v1","is_oa":true,"landing_page_url":"https://ifip.hal.science/hal-05601988","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"23th International Conference on Descriptional Complexity of Formal Systems (DCFS), Sep 2021, Virtual, South Korea. pp.64-75, ⟨10.1007/978-3-030-93489-7_6⟩","raw_type":"Conference papers"},"type":"book-chapter","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ifip.hal.science/hal-05601988","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021976865","display_name":"Stefan Hoffmann","orcid":"https://orcid.org/0000-0002-7866-075X"},"institutions":[{"id":"https://openalex.org/I89864525","display_name":"Universit\u00e4t Trier","ror":"https://ror.org/02778hg05","country_code":"DE","type":"education","lineage":["https://openalex.org/I89864525"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Hoffmann, Stefan","raw_affiliation_strings":["Informatikwissenschaften, FB IV, Universit\u00e4t Trier, Trier, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Informatikwissenschaften, FB IV, Universit\u00e4t Trier, Trier, Germany","institution_ids":["https://openalex.org/I89864525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021976865"],"corresponding_institution_ids":["https://openalex.org/I89864525"],"apc_list":null,"apc_paid":null,"fwci":0.1522,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57245794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9988999962806702,"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/T12029","display_name":"DNA and Biological Computing","score":0.9940000176429749,"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/commutative-property","display_name":"Commutative property","score":0.8411165475845337},{"id":"https://openalex.org/keywords/aperiodic-graph","display_name":"Aperiodic graph","score":0.8400213718414307},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5795328617095947},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5094724297523499},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.46453505754470825},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3523898124694824},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.323530375957489},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.25339779257774353},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16449561715126038},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.1349107325077057},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.08816131949424744}],"concepts":[{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.8411165475845337},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.8400213718414307},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5795328617095947},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5094724297523499},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.46453505754470825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3523898124694824},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.323530375957489},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.25339779257774353},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16449561715126038},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.1349107325077057},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.08816131949424744}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:HAL:hal-05601988v1","is_oa":true,"landing_page_url":"https://ifip.hal.science/hal-05601988","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"23th International Conference on Descriptional Complexity of Formal Systems (DCFS), Sep 2021, Virtual, South Korea. pp.64-75, ⟨10.1007/978-3-030-93489-7_6⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-05601988v1","is_oa":true,"landing_page_url":"https://ifip.hal.science/hal-05601988","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"23th International Conference on Descriptional Complexity of Formal Systems (DCFS), Sep 2021, Virtual, South Korea. pp.64-75, ⟨10.1007/978-3-030-93489-7_6⟩","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W200373251","https://openalex.org/W1501444314","https://openalex.org/W1541006133","https://openalex.org/W1546981056","https://openalex.org/W1551317472","https://openalex.org/W1606449364","https://openalex.org/W1837373388","https://openalex.org/W1969661153","https://openalex.org/W1988560957","https://openalex.org/W2006629323","https://openalex.org/W2015009579","https://openalex.org/W2028632802","https://openalex.org/W2029500305","https://openalex.org/W2076508310","https://openalex.org/W2081443805","https://openalex.org/W2082846762","https://openalex.org/W2093695603","https://openalex.org/W2094518278","https://openalex.org/W2116250539","https://openalex.org/W2153580110","https://openalex.org/W2158538677","https://openalex.org/W2951982070","https://openalex.org/W3028843709","https://openalex.org/W3105230796","https://openalex.org/W3198271433","https://openalex.org/W3217515455","https://openalex.org/W4248122200"],"related_works":["https://openalex.org/W2037661079","https://openalex.org/W2339191433","https://openalex.org/W4220811941","https://openalex.org/W4298800952","https://openalex.org/W2039582600","https://openalex.org/W1992569127","https://openalex.org/W4287817191","https://openalex.org/W2912635236","https://openalex.org/W3014544237","https://openalex.org/W2762730417"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-07T06:04:25.777469","created_date":"2025-10-10T00:00:00"}