{"id":"https://openalex.org/W2798724293","doi":"https://doi.org/10.1145/3209108.3209140","title":"Classical realizability as a classifier for nondeterminism","display_name":"Classical realizability as a classifier for nondeterminism","publication_year":2018,"publication_date":"2018-06-27","ids":{"openalex":"https://openalex.org/W2798724293","doi":"https://doi.org/10.1145/3209108.3209140","mag":"2798724293"},"language":"en","primary_location":{"id":"doi:10.1145/3209108.3209140","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3209108.3209140","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.11392","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Guillaume Geoffroy","orcid":null},"institutions":[{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Guillaume Geoffroy","raw_affiliation_strings":["Institut de math\u00e9matiques de Marseille, Aix-Marseille Universit\u00e9, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de math\u00e9matiques de Marseille, Aix-Marseille Universit\u00e9, France","institution_ids":["https://openalex.org/I4210138206","https://openalex.org/I21491767"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I21491767","https://openalex.org/I4210138206"],"apc_list":null,"apc_paid":null,"fwci":0.3273,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66216338,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"462","last_page":"471"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9995999932289124,"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":"Logic, programming, and type systems","score":0.9995999932289124,"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 Verification","score":0.9995999932289124,"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":0.992900013923645,"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/realizability","display_name":"Realizability","score":0.949400007724762},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.6978999972343445},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4918999969959259},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.44519999623298645},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.3725000023841858},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.3619999885559082},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.35370001196861267}],"concepts":[{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.949400007724762},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.6978999972343445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.539900004863739},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4918999969959259},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.44519999623298645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40700000524520874},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.3725000023841858},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.366100013256073},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.3619999885559082},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36010000109672546},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.35370001196861267},{"id":"https://openalex.org/C95623464","wikidata":"https://www.wikidata.org/wiki/Q1096149","display_name":"Classifier (UML)","level":2,"score":0.34459999203681946},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33000001311302185},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.32749998569488525},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3068999946117401},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.28600001335144043},{"id":"https://openalex.org/C130327152","wikidata":"https://www.wikidata.org/wiki/Q748349","display_name":"Mathematical structure","level":2,"score":0.27459999918937683},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.25220000743865967}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3209108.3209140","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3209108.3209140","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1805.11392","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.11392","pdf_url":"https://arxiv.org/pdf/1805.11392","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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01802215v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01802215","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM/IEEE Symposium on Logic in Computer Science, Jul 2018, Oxford, United Kingdom. ⟨10.1145/3209108.3209140⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.11392","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.11392","pdf_url":"https://arxiv.org/pdf/1805.11392","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1856816820","https://openalex.org/W1971613396","https://openalex.org/W2111069606","https://openalex.org/W2118238767","https://openalex.org/W2135287414","https://openalex.org/W2140622510"],"related_works":[],"abstract_inverted_index":{"We":[0],"show":[1,66],"how":[2],"the":[3,71,74,83],"language":[4],"of":[5,16,23,33,49,56,62,73,78,85],"Krivine's":[6],"classical":[7],"realizability":[8,24,80],"may":[9],"be":[10],"used":[11],"to":[12,39,59],"specify":[13],"various":[14,42],"forms":[15],"nondeterminism":[17,86],"and":[18,82],"relate":[19],"them":[20],"with":[21],"properties":[22],"models.":[25],"More":[26],"specifically,":[27],"we":[28,65],"introduce":[29],"an":[30],"abstract":[31],"notion":[32],"multi-evaluation":[34],"relation":[35],"which":[36],"allows":[37],"us":[38],"finely":[40],"describe":[41],"nondeterministic":[43],"behaviours.":[44],"This":[45],"defines":[46],"a":[47,68,79],"hierarchy":[48],"computational":[50,90],"models,":[51],"ordered":[52],"by":[53],"their":[54],"degree":[55,84],"nondeterminism,":[57],"similar":[58],"Sazonov's":[60],"degrees":[61],"parallelism.":[63],"What":[64],"is":[67],"duality":[69],"between":[70],"structure":[72],"characteristic":[75],"Boolean":[76],"algebra":[77],"model":[81],"in":[87],"its":[88],"underlying":[89],"model.":[91]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2018-05-07T00:00:00"}