{"id":"https://openalex.org/W4384344719","doi":"https://doi.org/10.1109/lics56636.2023.10175691","title":"Computing the linear hull: Deciding Deterministic? and Unambiguous? for weighted automata over fields","display_name":"Computing the linear hull: Deciding Deterministic? and Unambiguous? for weighted automata over fields","publication_year":2023,"publication_date":"2023-06-26","ids":{"openalex":"https://openalex.org/W4384344719","doi":"https://doi.org/10.1109/lics56636.2023.10175691"},"language":"en","primary_location":{"id":"doi:10.1109/lics56636.2023.10175691","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics56636.2023.10175691","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 38th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5056883446","display_name":"Jason P. Bell","orcid":"https://orcid.org/0000-0002-2873-4482"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jason P. Bell","raw_affiliation_strings":["University of Waterloo,Department of Pure Mathematics,Waterloo,Canada","Department of Pure Mathematics, University of Waterloo, Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo,Department of Pure Mathematics,Waterloo,Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Pure Mathematics, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069431545","display_name":"Daniel Smertnig","orcid":"https://orcid.org/0000-0002-5391-2471"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]},{"id":"https://openalex.org/I4210108044","display_name":"Nawi Graz","ror":"https://ror.org/01mm16571","country_code":"AT","type":"education","lineage":["https://openalex.org/I4210108044"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Daniel Smertnig","raw_affiliation_strings":["University of Graz,Institute for Mathematics and Scientific Computing NAWI Graz,Graz,Austria","Institute for Mathematics and Scientific Computing NAWI Graz, University of Graz, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Graz,Institute for Mathematics and Scientific Computing NAWI Graz,Graz,Austria","institution_ids":["https://openalex.org/I4210108044"]},{"raw_affiliation_string":"Institute for Mathematics and Scientific Computing NAWI Graz, University of Graz, Graz, Austria","institution_ids":["https://openalex.org/I15766117","https://openalex.org/I4210108044"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"13"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9970999956130981,"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":0.9952999949455261,"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/decidability","display_name":"Decidability","score":0.7551430463790894},{"id":"https://openalex.org/keywords/deterministic-automaton","display_name":"Deterministic automaton","score":0.7491217851638794},{"id":"https://openalex.org/keywords/b\u00fcchi-automaton","display_name":"B\u00fcchi automaton","score":0.6152515411376953},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.5769141912460327},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5676400661468506},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5487053394317627},{"id":"https://openalex.org/keywords/two-way-deterministic-finite-automaton","display_name":"Two-way deterministic finite automaton","score":0.5452457666397095},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5352732539176941},{"id":"https://openalex.org/keywords/timed-automaton","display_name":"Timed automaton","score":0.502760648727417},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.4320830702781677},{"id":"https://openalex.org/keywords/probabilistic-automaton","display_name":"Probabilistic automaton","score":0.4110240638256073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39843273162841797},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34922558069229126},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.3368281126022339},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3301669955253601},{"id":"https://openalex.org/keywords/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.2781704366207123},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.20429366827011108},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.14720222353935242}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7551430463790894},{"id":"https://openalex.org/C194525867","wikidata":"https://www.wikidata.org/wiki/Q5265707","display_name":"Deterministic automaton","level":3,"score":0.7491217851638794},{"id":"https://openalex.org/C165753454","wikidata":"https://www.wikidata.org/wiki/Q1020380","display_name":"B\u00fcchi automaton","level":4,"score":0.6152515411376953},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.5769141912460327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5676400661468506},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5487053394317627},{"id":"https://openalex.org/C139423837","wikidata":"https://www.wikidata.org/wiki/Q243800","display_name":"Two-way deterministic finite automaton","level":5,"score":0.5452457666397095},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5352732539176941},{"id":"https://openalex.org/C30788636","wikidata":"https://www.wikidata.org/wiki/Q7805517","display_name":"Timed automaton","level":3,"score":0.502760648727417},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.4320830702781677},{"id":"https://openalex.org/C174784677","wikidata":"https://www.wikidata.org/wiki/Q176567","display_name":"Probabilistic automaton","level":3,"score":0.4110240638256073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39843273162841797},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34922558069229126},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.3368281126022339},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3301669955253601},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.2781704366207123},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.20429366827011108},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.14720222353935242},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199104240","wikidata":"https://www.wikidata.org/wiki/Q118291","display_name":"Marine engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lics56636.2023.10175691","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics56636.2023.10175691","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 38th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.5400000214576721,"display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W23981179","https://openalex.org/W151848917","https://openalex.org/W1552185717","https://openalex.org/W1643571618","https://openalex.org/W1735667100","https://openalex.org/W1999013503","https://openalex.org/W2037367360","https://openalex.org/W2045442533","https://openalex.org/W2074794353","https://openalex.org/W2125529971","https://openalex.org/W2153145500","https://openalex.org/W2403510127","https://openalex.org/W2510627344","https://openalex.org/W2570324015","https://openalex.org/W2583206604","https://openalex.org/W2585298200","https://openalex.org/W2911280162","https://openalex.org/W2963164018","https://openalex.org/W2963823488","https://openalex.org/W2992164846","https://openalex.org/W3101740209","https://openalex.org/W3131755094","https://openalex.org/W3146407687","https://openalex.org/W3163816290","https://openalex.org/W3173756144","https://openalex.org/W3213392216","https://openalex.org/W4205548359","https://openalex.org/W4206635485","https://openalex.org/W4210361266","https://openalex.org/W4210405807","https://openalex.org/W4237383417","https://openalex.org/W4252292105","https://openalex.org/W4287125868","https://openalex.org/W6606181090","https://openalex.org/W6633086894","https://openalex.org/W6637686270","https://openalex.org/W6678720029","https://openalex.org/W6746379285","https://openalex.org/W6839442285"],"related_works":["https://openalex.org/W2155870982","https://openalex.org/W186350370","https://openalex.org/W2042728676","https://openalex.org/W3135656023","https://openalex.org/W2408583837","https://openalex.org/W2522171317","https://openalex.org/W1482505495","https://openalex.org/W2612146414","https://openalex.org/W1503739124","https://openalex.org/W1645283535"],"abstract_inverted_index":{"The":[0],"(left)":[1],"linear":[2,21,41,65],"hull":[3,22,42],"of":[4],"a":[5,9,12,36,77,81,87,119,123],"weighted":[6],"automaton":[7,17,32,52,79],"over":[8,80],"field":[10,83],"is":[11,18,33,53,72,84],"topological":[13],"invariant.":[14],"If":[15],"the":[16,20,31,40,50,64,106,113],"minimal,":[19],"can":[23,43],"be":[24,45],"used":[25,46],"to":[26,35,47,55,62,86,97],"determine":[27,48],"whether":[28,49,74],"or":[29,75],"not":[30,76],"equivalent":[34,54,85,100],"deterministic":[37,88,101],"one.":[38,58,89],"Furthermore,":[39],"also":[44,95,104],"minimal":[51],"an":[56,99],"unambiguous":[57,114],"We":[59,103],"show":[60,105],"how":[61],"compute":[63,98],"hull,":[66],"and":[67,109,128],"thus":[68],"prove":[69],"that":[70],"it":[71],"decidable":[73],"given":[78],"number":[82],"In":[90],"this":[91],"case":[92],"we":[93],"are":[94],"able":[96],"automaton.":[102],"analogous":[107],"decidability":[108],"computability":[110],"result":[111],"for":[112],"case.":[115],"Our":[116],"results":[117],"resolve":[118],"problem":[120],"posed":[121],"in":[122],"2006":[124],"survey":[125],"by":[126],"Lombardy":[127],"Sakarovitch.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}