{"id":"https://openalex.org/W2038670513","doi":"https://doi.org/10.1016/s0304-3975(00)00196-1","title":"Proof-term synthesis on dependent-type systems via explicit substitutions","display_name":"Proof-term synthesis on dependent-type systems via explicit substitutions","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W2038670513","doi":"https://doi.org/10.1016/s0304-3975(00)00196-1","mag":"2038670513"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(00)00196-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(00)00196-1","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","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/A5016058241","display_name":"C\u00e9sar Mu\u00f1oz","orcid":"https://orcid.org/0000-0003-3579-8254"},"institutions":[{"id":"https://openalex.org/I1319063186","display_name":"Langley Research Center","ror":"https://ror.org/0399mhs52","country_code":"US","type":"facility","lineage":["https://openalex.org/I1319063186","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C\u00e9sar Mu\u00f1oz","raw_affiliation_strings":["Institute for Computer Applications in Science and Engineering, Mail Stop 132C, NASA Langley Research Center, Hampton, VA 23681-2199, USA","NASA Langley Research Center, Hampton, VA"],"affiliations":[{"raw_affiliation_string":"Institute for Computer Applications in Science and Engineering, Mail Stop 132C, NASA Langley Research Center, Hampton, VA 23681-2199, USA","institution_ids":["https://openalex.org/I1319063186"]},{"raw_affiliation_string":"NASA Langley Research Center, Hampton, VA","institution_ids":["https://openalex.org/I1319063186"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016058241"],"corresponding_institution_ids":["https://openalex.org/I1319063186"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.5451,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.78115853,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"266","issue":"1-2","first_page":"407","last_page":"440"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","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/T10142","display_name":"Formal Methods in Verification","score":0.9991999864578247,"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":0.9987000226974487,"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":0.8833096623420715},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.6755008101463318},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.6607880592346191},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.6420649886131287},{"id":"https://openalex.org/keywords/curry\u2013howard-correspondence","display_name":"Curry\u2013Howard correspondence","score":0.6333205699920654},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.5622994899749756},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5337786078453064},{"id":"https://openalex.org/keywords/dependent-type","display_name":"Dependent type","score":0.5296696424484253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5037674307823181},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.48996105790138245},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.48361220955848694},{"id":"https://openalex.org/keywords/combinatory-logic","display_name":"Combinatory logic","score":0.4812462031841278},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.47038236260414124},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.468147337436676},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.458196222782135},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4506726861000061},{"id":"https://openalex.org/keywords/direct-proof","display_name":"Direct proof","score":0.4253767728805542},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4189659655094147},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3888172209262848},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.276236355304718}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8833096623420715},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.6755008101463318},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.6607880592346191},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.6420649886131287},{"id":"https://openalex.org/C85343465","wikidata":"https://www.wikidata.org/wiki/Q975734","display_name":"Curry\u2013Howard correspondence","level":3,"score":0.6333205699920654},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.5622994899749756},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5337786078453064},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.5296696424484253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5037674307823181},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.48996105790138245},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.48361220955848694},{"id":"https://openalex.org/C79678938","wikidata":"https://www.wikidata.org/wiki/Q1481571","display_name":"Combinatory logic","level":2,"score":0.4812462031841278},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.47038236260414124},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.468147337436676},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.458196222782135},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4506726861000061},{"id":"https://openalex.org/C161505775","wikidata":"https://www.wikidata.org/wiki/Q3240280","display_name":"Direct proof","level":2,"score":0.4253767728805542},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4189659655094147},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3888172209262848},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.276236355304718},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0304-3975(00)00196-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(00)00196-1","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:ADA371870","is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA371870","pdf_url":null,"source":{"id":"https://openalex.org/S4406923043","display_name":"Defense Technical Information Center (DTIC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"DTIC AND NTIS","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.7.720","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.720","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://techreports.larc.nasa.gov/icase/1999/icase-1999-47.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W65564231","https://openalex.org/W134383806","https://openalex.org/W171073024","https://openalex.org/W174750994","https://openalex.org/W572014079","https://openalex.org/W1503937100","https://openalex.org/W1533254070","https://openalex.org/W1546616265","https://openalex.org/W1548255377","https://openalex.org/W1559970946","https://openalex.org/W1560253649","https://openalex.org/W1589216209","https://openalex.org/W1606068143","https://openalex.org/W1969881696","https://openalex.org/W1974190112","https://openalex.org/W1986402635","https://openalex.org/W1992452788","https://openalex.org/W2034676877","https://openalex.org/W2050702141","https://openalex.org/W2052212743","https://openalex.org/W2069139740","https://openalex.org/W2071267598","https://openalex.org/W2078790484","https://openalex.org/W2100738443","https://openalex.org/W2113992680","https://openalex.org/W2116671746","https://openalex.org/W2118420900","https://openalex.org/W2121298157","https://openalex.org/W2123510160","https://openalex.org/W2170550263","https://openalex.org/W2175687065","https://openalex.org/W2793825941","https://openalex.org/W4236324644","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2006341276","https://openalex.org/W44725458","https://openalex.org/W2811159399","https://openalex.org/W2968770011","https://openalex.org/W2615170073","https://openalex.org/W155183251","https://openalex.org/W2612830858","https://openalex.org/W2074282135","https://openalex.org/W2038670513","https://openalex.org/W4320723398"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}