{"id":"https://openalex.org/W3179317887","doi":"https://doi.org/10.3233/fi-2021-2088","title":"On the Expressive Power of Non-deterministic and Unambiguous Petri Nets over Infinite Words","display_name":"On the Expressive Power of Non-deterministic and Unambiguous Petri Nets over Infinite Words","publication_year":2022,"publication_date":"2022-01-10","ids":{"openalex":"https://openalex.org/W3179317887","doi":"https://doi.org/10.3233/fi-2021-2088","mag":"3179317887"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2021-2088","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2021-2088","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2107.04025","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057731005","display_name":"Olivier Finkel","orcid":"https://orcid.org/0000-0002-6461-2941"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Olivier Finkel","raw_affiliation_strings":["Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche, CNRS, Universit\u00e9 de Paris, Sorbonne Universit\u00e9, Paris, France. Olivier.Finkel@math.univ-paris-diderot.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche, CNRS, Universit\u00e9 de Paris, Sorbonne Universit\u00e9, Paris, France. Olivier.Finkel@math.univ-paris-diderot.fr","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073562431","display_name":"Micha\u0142 Skrzypczak","orcid":"https://orcid.org/0000-0002-9647-4993"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Skrzypczak","raw_affiliation_strings":["Institute of Informatics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland. mskrzypczak@mimuw.edu.pl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Informatics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland. mskrzypczak@mimuw.edu.pl","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5057731005"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01657954,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"183","issue":"3-4","first_page":"243","last_page":"291"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9980999827384949,"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":0.9980999827384949,"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":0.9979000091552734,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.8300223350524902},{"id":"https://openalex.org/keywords/expressive-power","display_name":"Expressive power","score":0.7329609990119934},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.6340907216072083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5821307897567749},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4940953552722931},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4487246870994568},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39215245842933655},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.390755295753479},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34976327419281006},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07134139537811279}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.8300223350524902},{"id":"https://openalex.org/C195818886","wikidata":"https://www.wikidata.org/wiki/Q5421724","display_name":"Expressive power","level":2,"score":0.7329609990119934},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.6340907216072083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5821307897567749},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4940953552722931},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4487246870994568},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39215245842933655},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.390755295753479},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34976327419281006},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07134139537811279},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3233/fi-2021-2088","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2021-2088","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2107.04025","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.04025","pdf_url":"https://arxiv.org/pdf/2107.04025","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-03287498v2","is_oa":true,"landing_page_url":"https://hal.science/hal-03287498","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fundamenta Informaticae, 2021, 183 (3-4), pp.243-291. &#x27E8;10.3233/FI-2021-2088&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2107.04025","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2107.04025","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2107.04025","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.04025","pdf_url":"https://arxiv.org/pdf/2107.04025","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7699999809265137,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W3130855","https://openalex.org/W78026558","https://openalex.org/W117768600","https://openalex.org/W192846609","https://openalex.org/W623765668","https://openalex.org/W1506645925","https://openalex.org/W1539382740","https://openalex.org/W1555991696","https://openalex.org/W1560050980","https://openalex.org/W1560960962","https://openalex.org/W1563982778","https://openalex.org/W1577150716","https://openalex.org/W1584587517","https://openalex.org/W1608728926","https://openalex.org/W1621948069","https://openalex.org/W1622981938","https://openalex.org/W1802059447","https://openalex.org/W1880819836","https://openalex.org/W1965816875","https://openalex.org/W1969470083","https://openalex.org/W1974868602","https://openalex.org/W1979748028","https://openalex.org/W1980874421","https://openalex.org/W2001461320","https://openalex.org/W2003940577","https://openalex.org/W2004845705","https://openalex.org/W2017315323","https://openalex.org/W2020658239","https://openalex.org/W2030037063","https://openalex.org/W2031186530","https://openalex.org/W2037955016","https://openalex.org/W2043028125","https://openalex.org/W2052976441","https://openalex.org/W2054090612","https://openalex.org/W2059200976","https://openalex.org/W2061572873","https://openalex.org/W2061970672","https://openalex.org/W2070641420","https://openalex.org/W2075742699","https://openalex.org/W2082483369","https://openalex.org/W2087879437","https://openalex.org/W2091564354","https://openalex.org/W2111715088","https://openalex.org/W2112562798","https://openalex.org/W2119002241","https://openalex.org/W2146328638","https://openalex.org/W2160527279","https://openalex.org/W2164417367","https://openalex.org/W2185559369","https://openalex.org/W2243005836","https://openalex.org/W2243686102","https://openalex.org/W2395891450","https://openalex.org/W2403412245","https://openalex.org/W2478529717","https://openalex.org/W2604798101","https://openalex.org/W2751192997","https://openalex.org/W2786731311","https://openalex.org/W2889973542","https://openalex.org/W2913155813","https://openalex.org/W2962866237","https://openalex.org/W2963717725","https://openalex.org/W2964048355","https://openalex.org/W2965199304","https://openalex.org/W2992548491","https://openalex.org/W2997166501","https://openalex.org/W3038082899","https://openalex.org/W3099076450","https://openalex.org/W3102174678","https://openalex.org/W3106242213","https://openalex.org/W4205996864","https://openalex.org/W4235312496","https://openalex.org/W4288044945","https://openalex.org/W4298160881","https://openalex.org/W4299678158"],"related_works":["https://openalex.org/W1543378523","https://openalex.org/W2916743419","https://openalex.org/W2381491984","https://openalex.org/W2257573499","https://openalex.org/W1847176793","https://openalex.org/W1980200158","https://openalex.org/W2091203523","https://openalex.org/W1513546254","https://openalex.org/W2125164140","https://openalex.org/W2148229336"],"abstract_inverted_index":{"We":[0,50,126],"prove":[1],"that":[2,53,78,99,116,146],"\u03c9-languages":[3,9,28,45,86,148],"of":[4,10,24,27,29,41,44,46,63,74,87,130],"(non-deterministic)":[5,30,47],"Petri":[6,31,65,88,109,152],"nets":[7,32,89,153],"and":[8,21,38,81],"(nondeterministic)":[11],"Turing":[12,48],"machines":[13,137],"have":[14,112],"the":[15,19,25,36,42,60,72,75,79,82,100,104,113,147],"same":[16],"topological":[17,61],"complexity:":[18],"Borel":[20,37],"Wadge":[22,39],"hierarchies":[23,40],"class":[26,43],"are":[33,90,154],"equal":[34],"to":[35,58],"machines.":[49],"also":[51,93],"show":[52,98],"it":[54],"is":[55,102],"highly":[56,94],"undecidable":[57],"determine":[59],"complexity":[62],"a":[64,128,142],"net":[66],"\u03c9-language.":[67],"Moreover,":[68],"we":[69,97,144],"infer":[70],"from":[71],"proofs":[73],"above":[76],"results":[77],"equivalence":[80],"inclusion":[83],"problems":[84],"for":[85],"\u220f21-complete,":[91],"hence":[92],"undecidable.":[95],"Additionally,":[96],"situation":[101],"quite":[103],"opposite":[105],"when":[106],"considering":[107],"unambiguous":[108,151],"nets,":[110],"which":[111],"semantic":[114],"property":[115],"at":[117],"most":[118],"one":[119],"accepting":[120],"run":[121],"exists":[122],"on":[123],"every":[124],"input.":[125],"provide":[127],"procedure":[129],"determinising":[131],"them":[132],"into":[133],"deterministic":[134],"Muller":[135],"counter":[136,139],"with":[138],"copying.":[140],"As":[141],"consequence,":[143],"entail":[145],"recognisable":[149],"by":[150],"\u25b330":[155],"sets.":[156]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2022-07-25T00:00:00"}
