{"id":"https://openalex.org/W2045060495","doi":"https://doi.org/10.1145/800192.805791","title":"Interactive theorem proving","display_name":"Interactive theorem proving","publication_year":1973,"publication_date":"1973-01-01","ids":{"openalex":"https://openalex.org/W2045060495","doi":"https://doi.org/10.1145/800192.805791","mag":"2045060495"},"language":"en","primary_location":{"id":"doi:10.1145/800192.805791","is_oa":true,"landing_page_url":"https://doi.org/10.1145/800192.805791","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/800192.805791","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the annual conference on   - ACM'73","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/800192.805791","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086024254","display_name":"Jorge J. Morales","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jorge Morales","raw_affiliation_strings":[""],"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086024254"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5785,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.87068375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"440.6","last_page":"441"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9746999740600586,"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":0.9746999740600586,"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, Reasoning, and Knowledge","score":0.9639999866485596,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9592000246047974,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8537617325782776},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7993932366371155},{"id":"https://openalex.org/keywords/notice","display_name":"Notice","score":0.7605088949203491},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7474226355552673},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.6566296815872192},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5313186049461365},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.468179851770401},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.4665123522281647},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.43578004837036133},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4235903024673462},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4017810821533203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.382165789604187},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37507927417755127},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3038673400878906},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2542850375175476},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15440115332603455},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0702943503856659}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8537617325782776},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7993932366371155},{"id":"https://openalex.org/C2779913896","wikidata":"https://www.wikidata.org/wiki/Q7063001","display_name":"Notice","level":2,"score":0.7605088949203491},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7474226355552673},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.6566296815872192},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5313186049461365},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.468179851770401},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.4665123522281647},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.43578004837036133},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4235903024673462},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4017810821533203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.382165789604187},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37507927417755127},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3038673400878906},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2542850375175476},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15440115332603455},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0702943503856659},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/800192.805791","is_oa":true,"landing_page_url":"https://doi.org/10.1145/800192.805791","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/800192.805791","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the annual conference on   - ACM'73","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/800192.805791","is_oa":true,"landing_page_url":"https://doi.org/10.1145/800192.805791","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/800192.805791","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the annual conference on   - ACM'73","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2045060495.pdf","grobid_xml":"https://content.openalex.org/works/W2045060495.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W55831818","https://openalex.org/W1819460135","https://openalex.org/W4295798319","https://openalex.org/W4388246805","https://openalex.org/W353523607","https://openalex.org/W2019604532","https://openalex.org/W3098927713","https://openalex.org/W1585401881","https://openalex.org/W2624478615","https://openalex.org/W3100311625"],"abstract_inverted_index":{"The":[0,87],"results":[1,27,103],"of":[2,5,8,20,25,49,65,81,89,101],"Notice":[3],"72-H2":[4],"the":[6,16,26,63,66,85,96,99,102,108,120],"NAMS":[7],"June":[9],"1972,":[10],"issue":[11],"138,":[12],"were":[13,60,116],"proven":[14],"using":[15,119],"Theorem":[17],"Proving":[18],"Program":[19],"Allen":[21],"&":[22,32],"Luckham1.":[23],"Proofs":[24],"stated":[28],"by":[29],"Cowen,":[30],"Frisz":[31],"Grenadir":[33],"in":[34,40,110,118],"their":[35,50],"notice":[36],"Some":[37,112],"New":[38],"Axiomatizations":[39],"Group":[41],"Theory,":[42],"a":[43,53],"Preliminary":[44],"Report":[45],"and":[46,98],"an":[47],"extension":[48],"results,":[51],"namely,":[52],"new":[54],"single":[55,125],"axiom":[56,126],"characterizing":[57],"abelian":[58],"groups,":[59],"found":[61],"with":[62],"aid":[64],"interactive":[67],"theorem":[68],"proving":[69],"program.":[70],"Times":[71],"varied":[72],"from":[73],"instantaneous":[74],"for":[75,84],"easy":[76],"proofs":[77,91],"to":[78,95,107,122],"55":[79],"sec":[80],"cpu":[82],"time":[83],"hardest.":[86],"problem":[88],"finding":[90],"was":[92,104],"left":[93],"entirely":[94],"program":[97,121],"correctness":[100],"not":[105],"known":[106],"user":[109],"advance.":[111],"simple":[113],"heuristic":[114],"criteria":[115],"employed":[117],"find":[123],"additional":[124],"characterizations.":[127]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}