{"id":"https://openalex.org/W4309130117","doi":"https://doi.org/10.48550/arxiv.2211.06671","title":"Open Higher-Order Logic (Long Version)","display_name":"Open Higher-Order Logic (Long Version)","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4309130117","doi":"https://doi.org/10.48550/arxiv.2211.06671"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2211.06671","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":["Cornell University"],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"posted-content","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/2211.06671","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084450516","display_name":"Ugo Dal Lago","orcid":"https://orcid.org/0000-0001-9200-070X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lago, Ugo Dal","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081771854","display_name":"Francesco Gavazzo","orcid":"https://orcid.org/0000-0002-2159-0615"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gavazzo, Francesco","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5072023384","display_name":"Alexis Ghysele","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ghysele, Alexis","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":61},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontology Development","score":0.9979,"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/T10215","display_name":"Semantic Web and Ontology Development","score":0.9979,"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/T10181","display_name":"Statistical Machine Translation and Natural Language Processing","score":0.996,"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":0.9871,"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/description-logics","display_name":"Description Logics","score":0.572552},{"id":"https://openalex.org/keywords/nonmonotonic-reasoning","display_name":"Nonmonotonic Reasoning","score":0.551921},{"id":"https://openalex.org/keywords/modal-logics","display_name":"Modal Logics","score":0.525308},{"id":"https://openalex.org/keywords/constraint-logic-programming","display_name":"Constraint Logic Programming","score":0.524507},{"id":"https://openalex.org/keywords/temporal-logic","display_name":"Temporal Logic","score":0.518251},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.4324203}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.61851764},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.56389797},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.55194664},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.512156},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49889588},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4826908},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48177978},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43400723},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.4324203},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3945315},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33374938},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32050222},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.300416},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.20175284},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.067551225},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2211.06671","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":["Cornell University"],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2211.06671","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2211.06671","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":["Cornell University"],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, justice, and strong institutions","score":0.45}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4388397425","https://openalex.org/W4387318785","https://openalex.org/W4255026600","https://openalex.org/W2574949295","https://openalex.org/W2142816242","https://openalex.org/W1996226968","https://openalex.org/W1981373951","https://openalex.org/W18861343","https://openalex.org/W1580672106","https://openalex.org/W117698297"],"abstract_inverted_index":{"We":[0,55],"introduce":[1],"a":[2,44],"variation":[3],"on":[4],"Barthe":[5],"et":[6],"al.'s":[7],"higher-order":[8,58],"logic":[9,59],"in":[10,43,60,64,66,78,83],"which":[11,26,79],"formulas":[12],"are":[13],"interpreted":[14],"as":[15],"predicates":[16],"over":[17],"open":[18,57],"rather":[19],"than":[20],"closed":[21],"objects.":[22],"This":[23],"way,":[24,47],"concepts":[25],"have":[27],"an":[28],"intrinsically":[29],"functional":[30],"nature,":[31],"like":[32],"continuity,":[33],"differentiability,":[34],"or":[35],"monotonicity,":[36],"can":[37],"be":[38],"expressed":[39],"and":[40,63,69],"reasoned":[41],"about":[42],"very":[45],"natural":[46],"following":[48],"the":[49,52,72,86],"structure":[50],"of":[51,85,90],"underlying":[53,87],"program.":[54],"give":[56],"distinct":[61],"flavors,":[62],"particular":[65],"its":[67],"relational":[68],"local":[70],"versions,":[71],"latter":[73],"being":[74],"tailored":[75],"for":[76],"situations":[77],"properties":[80],"hold":[81],"only":[82],"part":[84],"function's":[88],"domain":[89],"definition.":[91]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4309130117","counts_by_year":[],"updated_date":"2024-10-22T20:16:31.505598","created_date":"2022-11-23"}