{"id":"https://openalex.org/W1844822429","doi":"https://doi.org/10.1007/978-3-319-32859-1_51","title":"Relative Hilbert-Post Completeness for Exceptions","display_name":"Relative Hilbert-Post Completeness for Exceptions","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W1844822429","doi":"https://doi.org/10.1007/978-3-319-32859-1_51","mag":"1844822429"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-32859-1_51","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"book-chapter","type_crossref":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01121924/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091337059","display_name":"Jean\u2010Guillaume Dumas","orcid":"https://orcid.org/0000-0002-2591-172X"},"institutions":[{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210149092","display_name":"Laboratoire Jean Kuntzmann","ror":"https://ror.org/04ett5b41","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210149092","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Guillaume Dumas","raw_affiliation_strings":["Laboratoire J. Kuntzmann, Universit\u00e9 Grenoble Alpes, 51, rue des Math\u00e9matiques, UMR CNRS 5224, bp 53X, 38041, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire J. Kuntzmann, Universit\u00e9 Grenoble Alpes, 51, rue des Math\u00e9matiques, UMR CNRS 5224, bp 53X, 38041, Grenoble, France","institution_ids":["https://openalex.org/I899635006","https://openalex.org/I1294671590","https://openalex.org/I4210149092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039984931","display_name":"Dominique Duval","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210149092","display_name":"Laboratoire Jean Kuntzmann","ror":"https://ror.org/04ett5b41","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210149092","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dominique Duval","raw_affiliation_strings":["Laboratoire J. Kuntzmann, Universit\u00e9 Grenoble Alpes, 51, rue des Math\u00e9matiques, UMR CNRS 5224, bp 53X, 38041, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire J. Kuntzmann, Universit\u00e9 Grenoble Alpes, 51, rue des Math\u00e9matiques, UMR CNRS 5224, bp 53X, 38041, Grenoble, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I899635006","https://openalex.org/I4210149092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017884012","display_name":"Burak Ekici","orcid":"https://orcid.org/0000-0002-6602-7906"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]},{"id":"https://openalex.org/I4210149092","display_name":"Laboratoire Jean Kuntzmann","ror":"https://ror.org/04ett5b41","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210149092","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Burak Ekici","raw_affiliation_strings":["Laboratoire J. Kuntzmann, Universit\u00e9 Grenoble Alpes, 51, rue des Math\u00e9matiques, UMR CNRS 5224, bp 53X, 38041, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire J. Kuntzmann, Universit\u00e9 Grenoble Alpes, 51, rue des Math\u00e9matiques, UMR CNRS 5224, bp 53X, 38041, Grenoble, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I899635006","https://openalex.org/I4210149092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084356882","display_name":"Damien Pous","orcid":"https://orcid.org/0000-0002-1220-4399"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Damien Pous","raw_affiliation_strings":["Plume Team, CNRS, ENS Lyon, Universit\u00e9 de Lyon, INRIA, UMR 5668, Lyon, France"],"affiliations":[{"raw_affiliation_string":"Plume Team, CNRS, ENS Lyon, Universit\u00e9 de Lyon, INRIA, UMR 5668, Lyon, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1326498283","https://openalex.org/I100532134","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046839127","display_name":"Jean-Claude Reynaud","orcid":null},"institutions":[],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Claude Reynaud","raw_affiliation_strings":["Reynaud Consulting (RC), Claix, France"],"affiliations":[{"raw_affiliation_string":"Reynaud Consulting (RC), Claix, France","institution_ids":[]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5091337059"],"corresponding_institution_ids":["https://openalex.org/I899635006","https://openalex.org/I1294671590","https://openalex.org/I4210149092"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392,"provenance":"doaj"},"apc_paid":null,"fwci":0.299,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":2,"citation_normalized_percentile":{"value":0.398887,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":73,"max":77},"biblio":{"volume":null,"issue":null,"first_page":"596","last_page":"610"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Program Analysis and Verification Techniques","score":0.9999,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Program Analysis and Verification Techniques","score":0.9999,"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/T11010","display_name":"Logic Programming and Knowledge Representation","score":0.9995,"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/T10142","display_name":"Formal Methods in Software Verification and Control","score":0.9952,"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/completeness","display_name":"Completeness (order theory)","score":0.8308867},{"id":"https://openalex.org/keywords/g\u00f6dels-completeness-theorem","display_name":"G\u00f6del's completeness theorem","score":0.536597},{"id":"https://openalex.org/keywords/programming-language-semantics","display_name":"Programming Language Semantics","score":0.488061},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.4708635},{"id":"https://openalex.org/keywords/contradiction","display_name":"Contradiction","score":0.45882913}],"concepts":[{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.8308867},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.78951335},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.70733976},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.6166579},{"id":"https://openalex.org/C60048249","wikidata":"https://www.wikidata.org/wiki/Q37437","display_name":"Syntax","level":2,"score":0.5526444},{"id":"https://openalex.org/C200116569","wikidata":"https://www.wikidata.org/wiki/Q902052","display_name":"G\u00f6del's completeness theorem","level":2,"score":0.536597},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.4708635},{"id":"https://openalex.org/C2776728590","wikidata":"https://www.wikidata.org/wiki/Q363948","display_name":"Contradiction","level":2,"score":0.45882913},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3847067},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32831973},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30777603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2565314},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.1911346},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15433937},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.076876104},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07575449},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":7,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-32859-1_51","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01121924","pdf_url":"https://hal.science/hal-01121924/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01121924/file/HP-Completeness.pdf","pdf_url":"https://hal.archives-ouvertes.fr/hal-01121924/file/HP-Completeness.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-01121924v3/file/HP-Completeness.pdf","pdf_url":"https://hal.science/hal-01121924v3/file/HP-Completeness.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-01121924v3/document","pdf_url":"https://hal.science/hal-01121924v3/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01121924v3/document","pdf_url":"https://hal.archives-ouvertes.fr/hal-01121924v3/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01121924v3/file/HP-Completeness.pdf","pdf_url":"https://hal.archives-ouvertes.fr/hal-01121924v3/file/HP-Completeness.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01121924","pdf_url":"https://hal.science/hal-01121924/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":21,"referenced_works":["https://openalex.org/W1516646744","https://openalex.org/W1521014576","https://openalex.org/W1830421783","https://openalex.org/W1844822429","https://openalex.org/W1859991118","https://openalex.org/W194677851","https://openalex.org/W1997143185","https://openalex.org/W2004740429","https://openalex.org/W2029606430","https://openalex.org/W2046137117","https://openalex.org/W2052395241","https://openalex.org/W2101091770","https://openalex.org/W2113109742","https://openalex.org/W2114991657","https://openalex.org/W2137282578","https://openalex.org/W2160481396","https://openalex.org/W3013099007","https://openalex.org/W3100205881","https://openalex.org/W3102515138","https://openalex.org/W3103594074","https://openalex.org/W4234877180"],"related_works":["https://openalex.org/W4295798319","https://openalex.org/W4210580744","https://openalex.org/W353523607","https://openalex.org/W3106543884","https://openalex.org/W3098927713","https://openalex.org/W2774311601","https://openalex.org/W2369292347","https://openalex.org/W2169551167","https://openalex.org/W1819460135","https://openalex.org/W1589866633"],"abstract_inverted_index":{"A":[0],"theory":[1],"is":[2,53,66],"complete":[3],"if":[4],"it":[5],"does":[6],"not":[7,54],"contain":[8],"a":[9,24,37,45,62],"contradiction,":[10],"while":[11],"all":[12],"of":[13,27,50],"its":[14],"proper":[15],"extensions":[16],"do.":[17],"In":[18],"this":[19],"paper,":[20],"first":[21],"we":[22,31],"introduce":[23],"relative":[25],"notion":[26],"syntactic":[28],"completeness;":[29],"then":[30],"prove":[32],"that":[33,47],"adding":[34],"exceptions":[35],"to":[36,68],"programming":[38],"language":[39,52],"can":[40],"be":[41],"done":[42],"in":[43,61],"such":[44],"way":[46],"the":[48,51,69,80],"completeness":[49],"made":[55],"worse.":[56],"These":[57],"proofs":[58],"are":[59],"formalized":[60],"logical":[63],"system":[64],"which":[65],"close":[67],"usual":[70],"syntax":[71],"for":[72],"exceptions,":[73],"and":[74],"they":[75],"have":[76],"been":[77],"checked":[78],"with":[79],"proof":[81],"assistant":[82],"Coq.":[83]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1844822429","counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2024-11-20T03:41:17.233524","created_date":"2016-06-24"}