{"id":"https://openalex.org/W1997431912","doi":"https://doi.org/10.1051/ita:1999124","title":"A Note on Negative Tagging for Least Fixed-Point Formulae","display_name":"A Note on Negative Tagging for Least Fixed-Point Formulae","publication_year":1999,"publication_date":"1999-07-01","ids":{"openalex":"https://openalex.org/W1997431912","doi":"https://doi.org/10.1051/ita:1999124","mag":"1997431912"},"language":"en","primary_location":{"id":"doi:10.1051/ita:1999124","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita:1999124","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:ri:diva-21963","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053650458","display_name":"Dilian Gurov","orcid":"https://orcid.org/0000-0002-0074-8786"},"institutions":[{"id":"https://openalex.org/I4210160701","display_name":"Kista Photonics Research Center","ror":"https://ror.org/05j59av97","country_code":"SE","type":"facility","lineage":["https://openalex.org/I4210160701"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Dilian Gurov","raw_affiliation_strings":["Swedish Institute of Computer Science, Box 1263, SE-164 29 Kista, Sweden; dilian@sics.se"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Swedish Institute of Computer Science, Box 1263, SE-164 29 Kista, Sweden; dilian@sics.se","institution_ids":["https://openalex.org/I4210160701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080474978","display_name":"Bruce M. Kapron","orcid":"https://orcid.org/0000-0002-3295-543X"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Bruce Kapron","raw_affiliation_strings":["Department of Computer Science, University of Victoria, Victoria, B.C., Canada V8W 3P6; bmkapron@csc.uvic.ca"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Victoria, Victoria, B.C., Canada V8W 3P6; bmkapron@csc.uvic.ca","institution_ids":["https://openalex.org/I212119943"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13448013,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"4-5","first_page":"383","last_page":"392"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9994999766349792,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/fixed-point","display_name":"Fixed point","score":0.682758629322052},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.601908266544342},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.5486628413200378},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.5092064738273621},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5027194023132324},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43914994597435},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3989078402519226},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.37984713912010193},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2893671989440918},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10915416479110718}],"concepts":[{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.682758629322052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.601908266544342},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.5486628413200378},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.5092064738273621},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5027194023132324},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43914994597435},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3989078402519226},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.37984713912010193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2893671989440918},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10915416479110718},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1051/ita:1999124","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita:1999124","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.43.6627","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.6627","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csr.uvic.ca/~bmkapron/Publications/ita.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.58.5850","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.58.5850","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.it.kth.se/~dilian/Papers/ita.pdf.gz","raw_type":"text"},{"id":"pmh:oai:DiVA.org:ri-21963","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:ri:diva-21963","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null,"raw_type":"text"},{"id":"pmh:oai:numdam.org:ITA_1999__33_4-5_383_0","is_oa":false,"landing_page_url":"https://www.numdam.org/item/ITA_1999__33_4-5_383_0/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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:DiVA.org:ri-21963","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:ri:diva-21963","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1485002745","https://openalex.org/W1496330206","https://openalex.org/W1992582873","https://openalex.org/W2011716301","https://openalex.org/W2012841134","https://openalex.org/W2015640848","https://openalex.org/W2063277731","https://openalex.org/W2083398633","https://openalex.org/W2095220173","https://openalex.org/W2112535338","https://openalex.org/W2120446685","https://openalex.org/W2232359105"],"related_works":["https://openalex.org/W747331120","https://openalex.org/W2351588585","https://openalex.org/W4233660055","https://openalex.org/W2076370897","https://openalex.org/W2906951486","https://openalex.org/W3125437892","https://openalex.org/W1965730239","https://openalex.org/W2771420179","https://openalex.org/W2224172171","https://openalex.org/W2023970190"],"abstract_inverted_index":{"Proof":[0],"systems":[1],"with":[2,56],"sequents":[3],"of":[4,13,24,85,99,120,136,147],"the":[5,59,73,83,86,103,121,145],"form":[6],"U":[7,23,123,155],"\u22a2":[8],"\u03a6":[9,19],"for":[10,52,94,97],"proving":[11],"validity":[12],"a":[14,21,27,43,47,100],"propositional":[15],"modal":[16],"\u03bc-calculus":[17],"formula":[18],"over":[20],"set":[22],"states":[25,61],"in":[26,42,72,102,144],"given":[28],"model":[29],"usually":[30],"handle":[31],"fixed-point":[32,54,126,149],"formulae":[33,39,55,127],"through":[34],"unfolding,":[35,78],"thus":[36],"allowing":[37],"such":[38],"to":[40,75,81,108,153],"reappear":[41],"proof.":[44,87],"Tagging":[45],"is":[46,69],"technique":[48],"originated":[49],"by":[50,139],"Winskel":[51],"annotating":[53],"information":[57,68],"about":[58],"proof":[60,74,104],"at":[62,124],"which":[63,125],"these":[64],"are":[65,92,128,151],"unfolded.":[66,129],"This":[67],"used":[70,93],"later":[71],"avoid":[76],"unnecessary":[77],"without":[79],"having":[80],"investigate":[82],"history":[84],"Depending":[88],"on":[89],"whether":[90],"tags":[91,118],"acceptance":[95],"or":[96,110],"rejection":[98],"branch":[101],"tree,":[105],"we":[106,133],"refer":[107],"\u201cpositive\u201d":[109],"\u201cnegative\u201d":[111],"tagging,":[112],"respectively.":[113],"In":[114,130],"their":[115],"simplest":[116],"form,":[117],"consist":[119],"sets":[122,156],"this":[131],"paper,":[132],"generalise":[134],"results":[135],"earlier":[137],"work":[138],"Andersen":[140],"et":[141],"al.":[142],"which,":[143],"case":[146],"least":[148],"formulae,":[150],"applicable":[152],"singleton":[154],"only.":[157]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
