{"id":"https://openalex.org/W1994341859","doi":"https://doi.org/10.1016/s1571-0661(05)01134-5","title":"Proof Assistance for Refinement in Type Theory","display_name":"Proof Assistance for Refinement in Type Theory","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1994341859","doi":"https://doi.org/10.1016/s1571-0661(05)01134-5","mag":"1994341859"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(05)01134-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)01134-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(05)01134-5","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075324436","display_name":"Nikos Mylonakis","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nikos Mylonakis","raw_affiliation_strings":["Departement de Llenguatges i Sistemes Informatics Universitat Polit\u00e8cnica de Catalunya"],"affiliations":[{"raw_affiliation_string":"Departement de Llenguatges i Sistemes Informatics Universitat Polit\u00e8cnica de Catalunya","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075324436"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09848673,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":null,"first_page":"1","last_page":"21"},"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":0.9977999925613403,"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":0.9927999973297119,"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":0.9032776355743408},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.7346318364143372},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.673617422580719},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.6511346101760864},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6391348838806152},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6259210109710693},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.6242863535881042},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.5869141221046448},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5269642472267151},{"id":"https://openalex.org/keywords/proof-of-concept","display_name":"Proof of concept","score":0.5165280699729919},{"id":"https://openalex.org/keywords/refinement-calculus","display_name":"Refinement calculus","score":0.4728028178215027},{"id":"https://openalex.org/keywords/computer-assisted-proof","display_name":"Computer-assisted proof","score":0.4421168267726898},{"id":"https://openalex.org/keywords/analytic-proof","display_name":"Analytic proof","score":0.4264918863773346},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4241301417350769},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4195631742477417},{"id":"https://openalex.org/keywords/automated-proof-checking","display_name":"Automated proof checking","score":0.4116694927215576},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.41131266951560974},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4042109251022339},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3376632332801819},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.24567553400993347},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1373889446258545}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.9032776355743408},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.7346318364143372},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.673617422580719},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.6511346101760864},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6391348838806152},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6259210109710693},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.6242863535881042},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.5869141221046448},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5269642472267151},{"id":"https://openalex.org/C124978682","wikidata":"https://www.wikidata.org/wiki/Q1201019","display_name":"Proof of concept","level":2,"score":0.5165280699729919},{"id":"https://openalex.org/C90483712","wikidata":"https://www.wikidata.org/wiki/Q7307205","display_name":"Refinement calculus","level":2,"score":0.4728028178215027},{"id":"https://openalex.org/C173613240","wikidata":"https://www.wikidata.org/wiki/Q1150675","display_name":"Computer-assisted proof","level":3,"score":0.4421168267726898},{"id":"https://openalex.org/C135754263","wikidata":"https://www.wikidata.org/wiki/Q4751136","display_name":"Analytic proof","level":3,"score":0.4264918863773346},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4241301417350769},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4195631742477417},{"id":"https://openalex.org/C13766981","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Automated proof checking","level":3,"score":0.4116694927215576},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.41131266951560974},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4042109251022339},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3376632332801819},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.24567553400993347},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1373889446258545},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0661(05)01134-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)01134-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(05)01134-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)01134-5","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1520395147","https://openalex.org/W1538467230","https://openalex.org/W1547527421","https://openalex.org/W1549434492","https://openalex.org/W1571394659","https://openalex.org/W1586272280","https://openalex.org/W1974190112","https://openalex.org/W2010883554","https://openalex.org/W2115692640"],"related_works":["https://openalex.org/W4234403895","https://openalex.org/W1852954869","https://openalex.org/W3163122332","https://openalex.org/W1614097270","https://openalex.org/W2055920195","https://openalex.org/W2463991046","https://openalex.org/W2795365301","https://openalex.org/W262647100","https://openalex.org/W187835144","https://openalex.org/W1854326666"],"abstract_inverted_index":{"In":[0],"this":[1,36],"paper,":[2],"we":[3,38],"represent":[4,33],"in":[5,16],"type":[6],"theory":[7],"a":[8,41],"proof":[9,30,42],"system":[10],"for":[11],"refinement":[12],"of":[13,29,48,50],"algebraic":[14],"specifications":[15],"ASL":[17],"[10].":[18],"The":[19],"representation":[20],"is":[21],"not":[22],"adequate":[23],"but":[24],"full":[25],"because":[26],"the":[27,46],"use":[28],"obligations":[31],"to":[32,44],"side-conditions.":[34],"Using":[35],"representation,":[37],"can":[39],"develop":[40],"tactic":[43],"help":[45],"development":[47],"proofs":[49],"refinement.":[51]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
