{"id":"https://openalex.org/W2508974560","doi":"https://doi.org/10.1017/s1471068416000302","title":"Proving infinitary formulas","display_name":"Proving infinitary formulas","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2508974560","doi":"https://doi.org/10.1017/s1471068416000302","mag":"2508974560"},"language":"en","primary_location":{"id":"doi:10.1017/s1471068416000302","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1471068416000302","pdf_url":null,"source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074195056","display_name":"Amelia Harrison","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"AMELIA HARRISON","raw_affiliation_strings":["University of Texas, Austin, Texas, USA (e-mail:"],"affiliations":[{"raw_affiliation_string":"University of Texas, Austin, Texas, USA (e-mail:","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076917986","display_name":"Vladimir Lifschitz","orcid":"https://orcid.org/0000-0001-6051-7907"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"VLADIMIR LIFSCHITZ","raw_affiliation_strings":["University of Texas, Austin, Texas, USA (e-mail:"],"affiliations":[{"raw_affiliation_string":"University of Texas, Austin, Texas, USA (e-mail:","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072681909","display_name":"Julian Michael","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JULIAN MICHAEL","raw_affiliation_strings":["University of Washington, Seattle, Washington, USA (e-mail:"],"affiliations":[{"raw_affiliation_string":"University of Washington, Seattle, Washington, USA (e-mail:","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074195056"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":null,"apc_paid":null,"fwci":0.4285,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78530914,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":"5-6","first_page":"787","last_page":"799"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998999834060669,"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/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9976999759674072,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9975000023841858,"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/mathematical-proof","display_name":"Mathematical proof","score":0.6598045229911804},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.6579080820083618},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5562105178833008},{"id":"https://openalex.org/keywords/well-formed-formula","display_name":"Well-formed formula","score":0.52326500415802},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49905967712402344},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.455231249332428},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.4244397282600403},{"id":"https://openalex.org/keywords/formal-system","display_name":"Formal system","score":0.42197301983833313},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41585391759872437},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4048934578895569},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.3803752064704895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36997509002685547},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.27720367908477783},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2368401288986206},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23587793111801147},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.08674904704093933},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.08428296446800232}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6598045229911804},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.6579080820083618},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5562105178833008},{"id":"https://openalex.org/C191222856","wikidata":"https://www.wikidata.org/wiki/Q655328","display_name":"Well-formed formula","level":5,"score":0.52326500415802},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49905967712402344},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.455231249332428},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.4244397282600403},{"id":"https://openalex.org/C102315432","wikidata":"https://www.wikidata.org/wiki/Q649732","display_name":"Formal system","level":2,"score":0.42197301983833313},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41585391759872437},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4048934578895569},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.3803752064704895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36997509002685547},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.27720367908477783},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2368401288986206},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23587793111801147},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.08674904704093933},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.08428296446800232},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s1471068416000302","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1471068416000302","pdf_url":null,"source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W13737784","https://openalex.org/W1527039196","https://openalex.org/W1578446848","https://openalex.org/W1766332311","https://openalex.org/W1881914301","https://openalex.org/W2045049617","https://openalex.org/W2135808442","https://openalex.org/W2401444989","https://openalex.org/W2409304415","https://openalex.org/W2795456052"],"related_works":["https://openalex.org/W3200682096","https://openalex.org/W100309281","https://openalex.org/W1986625420","https://openalex.org/W4232875954","https://openalex.org/W2504237466","https://openalex.org/W2335620825","https://openalex.org/W2383907964","https://openalex.org/W62016554","https://openalex.org/W2156897951","https://openalex.org/W2243447688"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"infinitary":[2,59,89],"propositional":[3],"logic":[4,26,35,63],"of":[5,12,18,25,58,64,69,88],"here-and-there":[6,65],"is":[7],"important":[8],"for":[9],"the":[10,56,62,67,86],"theory":[11],"answer":[13],"set":[14],"programming":[15],"in":[16,40,61,71],"view":[17],"its":[19],"relation":[20],"to":[21,80,84],"strongly":[22],"equivalent":[23],"transformations":[24],"programs.":[27],"We":[28],"know":[29],"a":[30,38,53],"formal":[31],"system":[32,42],"axiomatizing":[33],"this":[34,49],"exists,":[36],"but":[37],"proof":[39],"that":[41],"may":[43],"include":[44],"infinitely":[45],"many":[46],"formulas.":[47,90],"In":[48],"note":[50],"we":[51],"describe":[52],"relationship":[54,77],"between":[55],"validity":[57,87],"formulas":[60,70],"and":[66],"provability":[68],"some":[72],"finite":[73,82],"deductive":[74],"systems.":[75],"This":[76],"allows":[78],"us":[79],"use":[81],"proofs":[83],"justify":[85]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}