{"id":"https://openalex.org/W3199131588","doi":"https://doi.org/10.1142/s0129054121420090","title":"Space Complexity of Stack Automata Models","display_name":"Space Complexity of Stack Automata Models","publication_year":2021,"publication_date":"2021-09-01","ids":{"openalex":"https://openalex.org/W3199131588","doi":"https://doi.org/10.1142/s0129054121420090","mag":"3199131588"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054121420090","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054121420090","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2212.00891","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110211208","display_name":"\u00d3scar H. Ibarra","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oscar H. Ibarra","raw_affiliation_strings":["Department of Computer Science, University of California, Santa Barbara, California 93106, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Santa Barbara, California 93106, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062601411","display_name":"Jozef Jir\u00e1sek","orcid":"https://orcid.org/0000-0003-2218-7139"},"institutions":[{"id":"https://openalex.org/I32625721","display_name":"University of Saskatchewan","ror":"https://ror.org/010x8gc63","country_code":"CA","type":"education","lineage":["https://openalex.org/I32625721"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jozef Jir\u00e1sek","raw_affiliation_strings":["Department of Computer Science, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5A9, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5A9, Canada","institution_ids":["https://openalex.org/I32625721"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040385755","display_name":"Ian McQuillan","orcid":"https://orcid.org/0000-0002-7998-4430"},"institutions":[{"id":"https://openalex.org/I32625721","display_name":"University of Saskatchewan","ror":"https://ror.org/010x8gc63","country_code":"CA","type":"education","lineage":["https://openalex.org/I32625721"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Ian McQuillan","raw_affiliation_strings":["Department of Computer Science, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5A9, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5A9, Canada","institution_ids":["https://openalex.org/I32625721"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047122119","display_name":"Luca Prigioniero","orcid":"https://orcid.org/0000-0001-7163-4965"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Prigioniero","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, Via Celoria, 18 \u2013 Milan, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, Via Celoria, 18 \u2013 Milan, Italy","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040385755"],"corresponding_institution_ids":["https://openalex.org/I32625721"],"apc_list":null,"apc_paid":null,"fwci":0.3961,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65240551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"32","issue":"06","first_page":"801","last_page":"823"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9939000010490417,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9908000230789185,"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":0.7196257710456848},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6477155089378357},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5894964337348938},{"id":"https://openalex.org/keywords/stack","display_name":"Stack (abstract data type)","score":0.5834717750549316},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5612013936042786},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49820995330810547},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.47821471095085144},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44164806604385376},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4407344162464142},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4347120523452759},{"id":"https://openalex.org/keywords/pushdown-automaton","display_name":"Pushdown automaton","score":0.4155108630657196},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40256136655807495},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10995090007781982}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7196257710456848},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6477155089378357},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5894964337348938},{"id":"https://openalex.org/C9395851","wikidata":"https://www.wikidata.org/wiki/Q177929","display_name":"Stack (abstract data type)","level":2,"score":0.5834717750549316},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5612013936042786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49820995330810547},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.47821471095085144},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44164806604385376},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4407344162464142},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4347120523452759},{"id":"https://openalex.org/C77944639","wikidata":"https://www.wikidata.org/wiki/Q751443","display_name":"Pushdown automaton","level":3,"score":0.4155108630657196},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40256136655807495},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10995090007781982},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129054121420090","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054121420090","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"},{"id":"pmh:oai:arXiv.org:2212.00891","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2212.00891","pdf_url":"https://arxiv.org/pdf/2212.00891","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2212.00891","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2212.00891","pdf_url":"https://arxiv.org/pdf/2212.00891","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1500042303","https://openalex.org/W1990345806","https://openalex.org/W2003560161","https://openalex.org/W2021158845","https://openalex.org/W2081819676","https://openalex.org/W2082661309","https://openalex.org/W2151033407","https://openalex.org/W2188913344","https://openalex.org/W2955313150","https://openalex.org/W2999574320","https://openalex.org/W3158013313","https://openalex.org/W4248605269","https://openalex.org/W4255503374","https://openalex.org/W4302339081"],"related_works":["https://openalex.org/W2972379433","https://openalex.org/W2331020993","https://openalex.org/W2506746226","https://openalex.org/W2109489765","https://openalex.org/W3104737963","https://openalex.org/W1886746238","https://openalex.org/W2182252111","https://openalex.org/W1537446812","https://openalex.org/W1541953080","https://openalex.org/W419990173"],"abstract_inverted_index":{"This":[0],"paper":[1],"examines":[2],"several":[3],"measures":[4,21,78],"of":[5,8,10,35,71,85,112,115,150,153,162,171],"space":[6,76,142,172],"complexity":[7,77,91,143,160,173],"variants":[9],"stack":[11,14,18,25,42,58,81,134],"automata:":[12],"non-erasing":[13,133],"automata":[15],"and":[16,55,74,169],"checking":[17,80],"automata.":[19,82],"These":[20],"capture":[22],"the":[23,33,36,40,56,72,90,113,116,141,147,151,154,159],"minimum":[24],"size":[26,43,59],"required":[27],"to":[28,146],"accept":[29,73,165],"every":[30],"word":[31,52,118],"in":[32,45,61],"language":[34],"automaton":[37],"(weak":[38],"measure),":[39,54],"maximum":[41,57],"used":[44,60],"any":[46,50,62,110],"accepting":[47],"computation":[48,63],"on":[49],"accepted":[51],"(accept":[53],"(strong":[64],"measure).":[65],"We":[66],"give":[67],"a":[68,96,100,166],"detailed":[69],"characterization":[70],"strong":[75],"for":[79,132],"Exactly":[83],"one":[84],"three":[86],"cases":[87],"can":[88,105],"occur:":[89],"is":[92,121],"either":[93],"bounded":[94,108],"by":[95,109],"constant,":[97],"behaves":[98],"like":[99],"linear":[101],"function,":[102],"or":[103],"it":[104,120],"not":[106,130],"be":[107],"function":[111],"length":[114,152],"input":[117],"(and":[119],"decidable":[122],"which":[123,164],"case":[124],"occurs).":[125],"However,":[126],"this":[127],"result":[128],"does":[129],"hold":[131],"automata;":[135],"we":[136,157],"provide":[137],"an":[138],"example":[139],"where":[140],"grows":[144],"proportionally":[145],"square":[148],"root":[149],"input.":[155],"Furthermore,":[156],"study":[158],"bounds":[161],"machines":[163],"given":[167],"language,":[168],"decidability":[170],"properties.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}