{"id":"https://openalex.org/W1952319422","doi":"https://doi.org/10.3233/fi-2016-1451","title":"Constrained Expressions and their Derivatives","display_name":"Constrained Expressions and their Derivatives","publication_year":2016,"publication_date":"2016-12-24","ids":{"openalex":"https://openalex.org/W1952319422","doi":"https://doi.org/10.3233/fi-2016-1451","mag":"1952319422"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2016-1451","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2016-1451","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/1406.6144","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jean-Marc Champarnaud","orcid":null},"institutions":[{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Marc Champarnaud","raw_affiliation_strings":["LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France {jean-marc.champarnaud, ludovic.mignot, florent.nicart}@univ-rouen.fr","Laboratoire d'Informatique, de Traitement de l'Information et des Syst\u00e8mes"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France {jean-marc.champarnaud, ludovic.mignot, florent.nicart}@univ-rouen.fr","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I4210108118"]},{"raw_affiliation_string":"Laboratoire d'Informatique, de Traitement de l'Information et des Syst\u00e8mes","institution_ids":["https://openalex.org/I4210108118"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026435500","display_name":"Ludovic Mignot","orcid":"https://orcid.org/0000-0001-8262-9707"},"institutions":[{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ludovic Mignot","raw_affiliation_strings":["LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France {jean-marc.champarnaud, ludovic.mignot, florent.nicart}@univ-rouen.fr","Universit\u00e9 de Rouen Normandie"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France {jean-marc.champarnaud, ludovic.mignot, florent.nicart}@univ-rouen.fr","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I4210108118"]},{"raw_affiliation_string":"Universit\u00e9 de Rouen Normandie","institution_ids":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038573335","display_name":"Florent Nicart","orcid":"https://orcid.org/0009-0001-2663-4306"},"institutions":[{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Florent Nicart","raw_affiliation_strings":["LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France {jean-marc.champarnaud, ludovic.mignot, florent.nicart}@univ-rouen.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France {jean-marc.champarnaud, ludovic.mignot, florent.nicart}@univ-rouen.fr","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I4210108118"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210108118","https://openalex.org/I62396329"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00707991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"149","issue":"3","first_page":"311","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.5516999959945679,"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":0.5516999959945679,"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/T10142","display_name":"Formal Methods in Verification","score":0.17100000381469727,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.0828000009059906,"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/chemistry","display_name":"Chemistry","score":0.3323686122894287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33067402243614197}],"concepts":[{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.3323686122894287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33067402243614197}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3233/fi-2016-1451","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2016-1451","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:1406.6144","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.6144","pdf_url":"https://arxiv.org/pdf/1406.6144","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:CiteSeerX.psu:10.1.1.747.7951","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.747.7951","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1406.6144.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-02335271v1","is_oa":false,"landing_page_url":"https://normandie-univ.hal.science/hal-02335271","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fundamenta Informaticae, 2016, 149 (3), pp.311--361. ⟨10.3233/FI-2016-1451⟩","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-02335289v1","is_oa":false,"landing_page_url":"https://normandie-univ.hal.science/hal-02335289","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computing Research Repository, 2014, abs/1406.6144","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.1406.6144","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1406.6144","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1406.6144","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.6144","pdf_url":"https://arxiv.org/pdf/1406.6144","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":[{"score":0.7300000190734863,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W129467524","https://openalex.org/W1485190810","https://openalex.org/W1494302324","https://openalex.org/W1971841096","https://openalex.org/W2031906380","https://openalex.org/W2078204730","https://openalex.org/W2083735143","https://openalex.org/W2094985106","https://openalex.org/W2107308446","https://openalex.org/W2115578291","https://openalex.org/W2124479173","https://openalex.org/W2129414328","https://openalex.org/W2156429182","https://openalex.org/W2540093976","https://openalex.org/W2912608078","https://openalex.org/W2952022660","https://openalex.org/W3150132563"],"related_works":["https://openalex.org/W2948807893","https://openalex.org/W2899084033","https://openalex.org/W2778153218","https://openalex.org/W2748952813","https://openalex.org/W1531601525","https://openalex.org/W1990781990","https://openalex.org/W2607424097","https://openalex.org/W2606230654","https://openalex.org/W2384464875","https://openalex.org/W2319480705"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"an":[3,71],"extension":[4,72],"to":[5,38,79],"classical":[6],"regular":[7,61,66],"expressions":[8,27],"by":[9,107],"the":[10,16,22,39,49,81,85,93,97,104,120],"addition":[11],"of":[12,18,41,44,73,100],"two":[13],"operators":[14],"allowing":[15],"inclusion":[17],"boolean":[19],"formulae":[20],"from":[21],"zeroth":[23],"order":[24,78],"logic.":[25],"These":[26],"are":[28,57],"called":[29],"constrained":[30,109],"expressions.":[31],"The":[32],"associated":[33,51],"language":[34,50,105],"is":[35,59,95,116,122],"defined":[36],"thanks":[37],"notion":[40],"interpretation":[42,54,94,121],"and":[43,55,62],"realization.":[45],"We":[46],"show":[47,90],"that":[48,91],"when":[52,119],"both":[53],"realization":[56],"fixed":[58],"stricly":[60],"can":[63,111],"be":[64,112],"not":[65,123],"otherwise.":[67],"Furthermore,":[68],"we":[69,89],"use":[70],"Antimirov\u2019s":[74],"partial":[75],"derivatives":[76],"in":[77,84,103],"solve":[80],"membership":[82,98],"test":[83,99],"general":[86],"case.":[87],"Finally,":[88],"once":[92],"fixed,":[96],"a":[101,108],"word":[102],"denoted":[106],"expression":[110],"undecidable":[113],"whereas":[114],"it":[115],"always":[117],"decidable":[118],"fixed.":[124]},"counts_by_year":[],"updated_date":"2026-05-02T06:04:40.494371","created_date":"2025-10-10T00:00:00"}