{"id":"https://openalex.org/W4388903865","doi":"https://doi.org/10.46298/lmcs-19(4:12)2023","title":"Aperiodicity, Star-freeness, and First-order Logic Definability of Operator Precedence Languages","display_name":"Aperiodicity, Star-freeness, and First-order Logic Definability of Operator Precedence Languages","publication_year":2023,"publication_date":"2023-11-22","ids":{"openalex":"https://openalex.org/W4388903865","doi":"https://doi.org/10.46298/lmcs-19(4:12)2023"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-19(4:12)2023","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-19(4:12)2023","pdf_url":"http://lmcs.episciences.org/12584/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://lmcs.episciences.org/12584/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002217309","display_name":"Dino Mandrioli","orcid":"https://orcid.org/0000-0002-0945-5947"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Dino Mandrioli","raw_affiliation_strings":["DEIB, Politecnico di Milano, Italy"],"affiliations":[{"raw_affiliation_string":"DEIB, Politecnico di Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006061936","display_name":"Matteo Pradella","orcid":"https://orcid.org/0000-0003-3039-1084"},"institutions":[{"id":"https://openalex.org/I4210144062","display_name":"Consorzio Roma Ricerche","ror":"https://ror.org/03jvpn714","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210144062"]},{"id":"https://openalex.org/I4210100607","display_name":"Institute of Electronics, Computer and Telecommunication Engineering","ror":"https://ror.org/00n4jbh84","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210100607","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Matteo Pradella","raw_affiliation_strings":["DEIB, Politecnico di Milano, Italy and IEIIT,","Consiglio Nazionale delle Ricerche"],"affiliations":[{"raw_affiliation_string":"DEIB, Politecnico di Milano, Italy and IEIIT,","institution_ids":["https://openalex.org/I93860229","https://openalex.org/I4210100607"]},{"raw_affiliation_string":"Consiglio Nazionale delle Ricerche","institution_ids":["https://openalex.org/I4210144062"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110477122","display_name":"Stefano Crespi Reghizzi","orcid":"https://orcid.org/0000-0001-5061-7402"},"institutions":[{"id":"https://openalex.org/I4210100607","display_name":"Institute of Electronics, Computer and Telecommunication Engineering","ror":"https://ror.org/00n4jbh84","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210100607","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I4210144062","display_name":"Consorzio Roma Ricerche","ror":"https://ror.org/03jvpn714","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210144062"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Crespi Reghizzi","raw_affiliation_strings":["DEIB, Politecnico di Milano, Italy and IEIIT,","Consiglio Nazionale delle Ricerche"],"affiliations":[{"raw_affiliation_string":"DEIB, Politecnico di Milano, Italy and IEIIT,","institution_ids":["https://openalex.org/I93860229","https://openalex.org/I4210100607"]},{"raw_affiliation_string":"Consiglio Nazionale delle Ricerche","institution_ids":["https://openalex.org/I4210144062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002217309"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":null,"apc_paid":null,"fwci":0.6051,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72818302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"Volume 19, Issue 4","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":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"}},"topics":[{"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/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9650999903678894,"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/computer-science","display_name":"Computer science","score":0.6057384610176086},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5368808507919312},{"id":"https://openalex.org/keywords/context-free-language","display_name":"Context-free language","score":0.4924262464046478},{"id":"https://openalex.org/keywords/pumping-lemma-for-regular-languages","display_name":"Pumping lemma for regular languages","score":0.4889287054538727},{"id":"https://openalex.org/keywords/deterministic-pushdown-automaton","display_name":"Deterministic pushdown automaton","score":0.4785381257534027},{"id":"https://openalex.org/keywords/pushdown-automaton","display_name":"Pushdown automaton","score":0.4760848581790924},{"id":"https://openalex.org/keywords/abstract-family-of-languages","display_name":"Abstract family of languages","score":0.45858287811279297},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.4267270267009735},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4068967401981354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36567986011505127},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.23386284708976746},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.20703056454658508},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.16731977462768555},{"id":"https://openalex.org/keywords/second-generation-programming-language","display_name":"Second-generation programming language","score":0.15558511018753052},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14881578087806702},{"id":"https://openalex.org/keywords/fifth-generation-programming-language","display_name":"Fifth-generation programming language","score":0.12892356514930725},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.10128220915794373}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6057384610176086},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5368808507919312},{"id":"https://openalex.org/C198838072","wikidata":"https://www.wikidata.org/wiki/Q729271","display_name":"Context-free language","level":3,"score":0.4924262464046478},{"id":"https://openalex.org/C157968401","wikidata":"https://www.wikidata.org/wiki/Q2292874","display_name":"Pumping lemma for regular languages","level":5,"score":0.4889287054538727},{"id":"https://openalex.org/C74919329","wikidata":"https://www.wikidata.org/wiki/Q378713","display_name":"Deterministic pushdown automaton","level":5,"score":0.4785381257534027},{"id":"https://openalex.org/C77944639","wikidata":"https://www.wikidata.org/wiki/Q751443","display_name":"Pushdown automaton","level":3,"score":0.4760848581790924},{"id":"https://openalex.org/C199163288","wikidata":"https://www.wikidata.org/wiki/Q3065587","display_name":"Abstract family of languages","level":5,"score":0.45858287811279297},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.4267270267009735},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4068967401981354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36567986011505127},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.23386284708976746},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.20703056454658508},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.16731977462768555},{"id":"https://openalex.org/C11164408","wikidata":"https://www.wikidata.org/wiki/Q18657800","display_name":"Second-generation programming language","level":4,"score":0.15558511018753052},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14881578087806702},{"id":"https://openalex.org/C199305712","wikidata":"https://www.wikidata.org/wiki/Q3205914","display_name":"Fifth-generation programming language","level":3,"score":0.12892356514930725},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.10128220915794373},{"id":"https://openalex.org/C34165917","wikidata":"https://www.wikidata.org/wiki/Q188267","display_name":"Programming paradigm","level":2,"score":0.0},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.0},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.46298/lmcs-19(4:12)2023","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-19(4:12)2023","pdf_url":"http://lmcs.episciences.org/12584/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1257142","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1257142","pdf_url":"https://re.public.polimi.it/bitstream/11311/1257142/1/2006.01236.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:5d1170c08f27440eab8ca7866d52c795","is_oa":true,"landing_page_url":"https://doaj.org/article/5d1170c08f27440eab8ca7866d52c795","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 19, Issue 4 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-19(4:12)2023","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-19(4:12)2023","pdf_url":"http://lmcs.episciences.org/12584/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.7400000095367432}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4388903865.pdf"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W57066809","https://openalex.org/W118337677","https://openalex.org/W297978594","https://openalex.org/W956032893","https://openalex.org/W1078917731","https://openalex.org/W1200108254","https://openalex.org/W1486486721","https://openalex.org/W1549978238","https://openalex.org/W1560050980","https://openalex.org/W1562942180","https://openalex.org/W1563307140","https://openalex.org/W1564539673","https://openalex.org/W1606781638","https://openalex.org/W1804522637","https://openalex.org/W1889920293","https://openalex.org/W1965525337","https://openalex.org/W1967613919","https://openalex.org/W1975010878","https://openalex.org/W1979919662","https://openalex.org/W1983682288","https://openalex.org/W1990098488","https://openalex.org/W1997223024","https://openalex.org/W2003940577","https://openalex.org/W2015692375","https://openalex.org/W2038925304","https://openalex.org/W2049024278","https://openalex.org/W2050536875","https://openalex.org/W2061572873","https://openalex.org/W2066725205","https://openalex.org/W2074222865","https://openalex.org/W2075969214","https://openalex.org/W2079403768","https://openalex.org/W2097033551","https://openalex.org/W2106878575","https://openalex.org/W2118416409","https://openalex.org/W2131742729","https://openalex.org/W2131886132","https://openalex.org/W2147266964","https://openalex.org/W2179349885","https://openalex.org/W2278186161","https://openalex.org/W2294034341","https://openalex.org/W2401426563","https://openalex.org/W2962855110","https://openalex.org/W2963802901","https://openalex.org/W3021676532","https://openalex.org/W3021915497","https://openalex.org/W3083113755","https://openalex.org/W3098140864","https://openalex.org/W3101275751","https://openalex.org/W3101797155","https://openalex.org/W3106870970","https://openalex.org/W3164851895","https://openalex.org/W3185983707","https://openalex.org/W4205178514","https://openalex.org/W4213287418","https://openalex.org/W4243535863","https://openalex.org/W4301662502"],"related_works":["https://openalex.org/W2229354094","https://openalex.org/W4295836506","https://openalex.org/W3089361136","https://openalex.org/W3046914621","https://openalex.org/W2483135985","https://openalex.org/W1528518006","https://openalex.org/W2394732936","https://openalex.org/W2022934640","https://openalex.org/W1994458424","https://openalex.org/W4312828186"],"abstract_inverted_index":{"A":[0],"classic":[1,72,191],"result":[2,31],"in":[3,107,130],"formal":[4],"language":[5],"theory":[6],"is":[7,45,115,199],"the":[8,33,53,83,90,108,156,161,165,190,202,212],"equivalence":[9,73,192],"among":[10],"non-counting,":[11],"or":[12,23],"aperiodic,":[13],"regular":[14,21,36,154],"languages,":[15,82],"and":[16,56,98,114,135,142,171,196,204],"languages":[17,37,50,61,85,113,225],"defined":[18,65],"through":[19,66,177],"star-free":[20,48,166],"expressions,":[22,155],"first-order":[24,67,169,187,197],"logic.":[25,68],"Past":[26],"attempts":[27],"to":[28,75,218],"extend":[29,70],"this":[30],"beyond":[32],"realm":[34],"of":[35,79,153,193,207],"have":[38,126],"met":[39],"with":[40,132,138,143],"difficulties:":[41],"for":[42,110,201,222],"instance":[43],"it":[44],"known":[46],"that":[47,62,183,211],"tree":[49,60],"may":[51],"violate":[52],"non-counting":[54,172],"property":[55],"there":[57],"are":[58,186],"aperiodic":[59,184],"cannot":[63],"be":[64,216],"We":[69,149,209],"such":[71],"results":[74,221],"a":[76,178],"significant":[77],"family":[78,97],"deterministic":[80],"context-free":[81,101],"operator-precedence":[84],"(OPL),":[86],"which":[87,159],"strictly":[88],"includes":[89],"widely":[91],"investigated":[92,128],"visibly":[93,223],"pushdown,":[94],"alias":[95],"input-driven,":[96],"other":[99],"structured":[100],"languages.":[102],"The":[103],"OP":[104],"model":[105],"originated":[106],"'60s":[109],"defining":[111],"programming":[112],"still":[116],"used":[117],"by":[118],"high":[119],"performance":[120],"compilers;":[121],"its":[122],"rich":[123],"algebraic":[124],"properties":[125,141],"been":[127],"initially":[129],"connection":[131],"grammar":[133,181],"learning":[134],"recently":[136],"completed":[137],"further":[139],"closure":[140],"monadic":[144],"second":[145],"order":[146],"logic":[147],"definition.":[148],"introduce":[150],"an":[151],"extension":[152],"OP-expressions":[157],"(OPE)":[158],"define":[160,168],"OPLs":[162,185],"and,":[163],"under":[164],"hypothesis,":[167],"definable":[170],"OPLs.":[173,208],"Then,":[174],"we":[175],"prove,":[176],"fairly":[179],"articulated":[180],"transformation,":[182],"definable.":[188],"Thus,":[189],"star-freeness,":[194],"aperiodicity,":[195],"definability":[198],"established":[200],"large":[203],"powerful":[205],"class":[206],"argue":[210],"same":[213],"approach":[214],"can":[215],"exploited":[217],"obtain":[219],"analogous":[220],"pushdown":[224],"too.":[226]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-01-25T23:04:38.658462","created_date":"2025-10-10T00:00:00"}