{"id":"https://openalex.org/W2092660853","doi":"https://doi.org/10.1017/s0960129502003614","title":"Universal aspects of probabilistic automata","display_name":"Universal aspects of probabilistic automata","publication_year":2002,"publication_date":"2002-08-01","ids":{"openalex":"https://openalex.org/W2092660853","doi":"https://doi.org/10.1017/s0960129502003614","mag":"2092660853"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129502003614","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129502003614","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in 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/A5073765060","display_name":"Lutz Schr\u00f6der","orcid":"https://orcid.org/0000-0002-3146-5906"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"LUTZ SCHR\u00d6DER","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Bremen, Germany","Department of Mathematics and Computer Science, University of Bremen, Germany.#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Bremen, Germany.#TAB#","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049655958","display_name":"Paulo Mateus","orcid":"https://orcid.org/0000-0002-2393-8224"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I4210154254","display_name":"Instituto Superior de Tecnologias Avan\u00e7adas","ror":"https://ror.org/04hzbg791","country_code":"PT","type":"education","lineage":["https://openalex.org/I4210154254"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"PAULO MATEUS","raw_affiliation_strings":["CMA, Department of Mathematics, IST, Technical University of Lisbon, Portugal","CMA, Department of Mathematics, IST, Technical University of Lisbon, Portugal.#TAB#"],"affiliations":[{"raw_affiliation_string":"CMA, Department of Mathematics, IST, Technical University of Lisbon, Portugal","institution_ids":["https://openalex.org/I4210154254"]},{"raw_affiliation_string":"CMA, Department of Mathematics, IST, Technical University of Lisbon, Portugal.#TAB#","institution_ids":["https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073765060"],"corresponding_institution_ids":["https://openalex.org/I180437899"],"apc_list":null,"apc_paid":null,"fwci":1.2784,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82728045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"4","first_page":"481","last_page":"512"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11567","display_name":"semigroups and automata theory","score":0.9983999729156494,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/morphism","display_name":"Morphism","score":0.805128276348114},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6015382409095764},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.559172511100769},{"id":"https://openalex.org/keywords/probabilistic-automaton","display_name":"Probabilistic automaton","score":0.5400067567825317},{"id":"https://openalex.org/keywords/quantum-finite-automata","display_name":"Quantum finite automata","score":0.5061649680137634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4994223117828369},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.49525585770606995},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42672306299209595},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.4036492705345154},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3683912754058838},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3118343949317932},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12856602668762207}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.805128276348114},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6015382409095764},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.559172511100769},{"id":"https://openalex.org/C174784677","wikidata":"https://www.wikidata.org/wiki/Q176567","display_name":"Probabilistic automaton","level":3,"score":0.5400067567825317},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.5061649680137634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4994223117828369},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.49525585770606995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42672306299209595},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.4036492705345154},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3683912754058838},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3118343949317932},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12856602668762207}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0960129502003614","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129502003614","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.41.2007","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.2007","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.informatik.uni-bremen.de/~lschrode/MSCS1.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.43.8396","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.8396","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.math.ist.utl.pt/ftp/pub/MateusP/99-SM-precat2.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.75,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W173529017","https://openalex.org/W173641204","https://openalex.org/W1572021354","https://openalex.org/W1601477899","https://openalex.org/W1974090207","https://openalex.org/W2027368800","https://openalex.org/W2035939276","https://openalex.org/W2040247099","https://openalex.org/W2054830285","https://openalex.org/W2077968161","https://openalex.org/W2087563354","https://openalex.org/W2088027070","https://openalex.org/W2092319590","https://openalex.org/W2110425399","https://openalex.org/W2120713972","https://openalex.org/W2135657750","https://openalex.org/W2149565588","https://openalex.org/W2173961470","https://openalex.org/W2327771878","https://openalex.org/W3127823229"],"related_works":["https://openalex.org/W2049315791","https://openalex.org/W2953483754","https://openalex.org/W2087949151","https://openalex.org/W2963823488","https://openalex.org/W2950563206","https://openalex.org/W2159449605","https://openalex.org/W1550824632","https://openalex.org/W2058117339","https://openalex.org/W4300232377","https://openalex.org/W1979390054"],"abstract_inverted_index":{"Frequently,":[0],"mathematical":[1,46],"structures":[2],"of":[3,17,19,24,30,56,62,77,102,109,125,128,134,147],"a":[4,13,54,140],"certain":[5],"type":[6],"and":[7,69,81,88,118,145],"their":[8],"morphisms":[9,36],"fail":[10],"to":[11,96],"form":[12,122],"category":[14,57],"for":[15,48,84],"lack":[16],"composability":[18],"the":[20,28,60,63,107,126,132],"morphisms;":[21],"one":[22],"example":[23],"this":[25,49,72],"problem":[26],"is":[27,51,137],"class":[29],"probabilistic":[31,111,129],"automata":[32,117,136,148],"when":[33],"equipped":[34],"with":[35],"that":[37,115],"allow":[38],"restriction":[39,144],"as":[40,42,100,139,151],"well":[41],"relabelling.":[43],"The":[44],"proper":[45],"framework":[47],"situation":[50],"provided":[52],"by":[53],"generalisation":[55],"theory":[58,108],"in":[59,71,90,106],"shape":[61],"so-called":[64],"precategories,":[65],"which":[66],"are":[67,86,149],"introduced":[68],"studied":[70],"paper.":[73],"In":[74],"particular,":[75],"notions":[76],"adjointness,":[78],"weak":[79],"adjointness":[80,83],"partial":[82,141],"precategories":[85],"presented":[87],"justified":[89],"detail.":[91],"This":[92],"makes":[93],"it":[94],"possible":[95],"use":[97],"universal":[98],"properties":[99],"characterisations":[101],"well-known":[103],"basic":[104],"constructions":[105],"(generative)":[110],"automata:":[112],"we":[113],"show":[114],"accessible":[116],"decision":[119],"trees,":[120],"respectively,":[121],"coreflective":[123],"subprecategories":[124],"precategory":[127],"automata.":[130],"Moreover,":[131],"aggregation":[133],"two":[135],"identified":[138],"product,":[142],"whereas":[143],"interconnection":[146],"recognised":[150],"Cartesian":[152],"lifts.":[153]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}