{"id":"https://openalex.org/W2340067173","doi":"https://doi.org/10.1093/logcom/exv091","title":"Well-definedness and observational equivalence for inductive\u2013coinductive programs","display_name":"Well-definedness and observational equivalence for inductive\u2013coinductive programs","publication_year":2016,"publication_date":"2016-04-13","ids":{"openalex":"https://openalex.org/W2340067173","doi":"https://doi.org/10.1093/logcom/exv091","mag":"2340067173"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exv091","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exv091","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ir.cwi.nl/pub/28787/28787.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009601101","display_name":"Henning Basold","orcid":"https://orcid.org/0000-0001-7610-8331"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Henning Basold","raw_affiliation_strings":["Radboud University and CWI Amsterdam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Radboud University and CWI Amsterdam","institution_ids":["https://openalex.org/I145872427","https://openalex.org/I1341640284"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007089889","display_name":"Helle Hvid Hansen","orcid":"https://orcid.org/0000-0001-7061-1219"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Helle Hvid Hansen","raw_affiliation_strings":["Delft University of Technology and CWI Amsterdam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Delft University of Technology and CWI Amsterdam","institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009601101"],"corresponding_institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I145872427"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":1.6434,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.89596927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"29","issue":"4","first_page":"419","last_page":"468"},"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":0.9975000023841858,"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":0.9937999844551086,"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/observational-equivalence","display_name":"Observational equivalence","score":0.9067511558532715},{"id":"https://openalex.org/keywords/coinduction","display_name":"Coinduction","score":0.8972773551940918},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5931426286697388},{"id":"https://openalex.org/keywords/observational-study","display_name":"Observational study","score":0.5019030570983887},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.47809359431266785},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.46076181530952454},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.38774943351745605},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36663228273391724},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34761670231819153},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.30228108167648315},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3016032576560974},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.20251184701919556}],"concepts":[{"id":"https://openalex.org/C2777721189","wikidata":"https://www.wikidata.org/wiki/Q17121921","display_name":"Observational equivalence","level":2,"score":0.9067511558532715},{"id":"https://openalex.org/C40220748","wikidata":"https://www.wikidata.org/wiki/Q4227156","display_name":"Coinduction","level":3,"score":0.8972773551940918},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5931426286697388},{"id":"https://openalex.org/C23131810","wikidata":"https://www.wikidata.org/wiki/Q818574","display_name":"Observational study","level":2,"score":0.5019030570983887},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.47809359431266785},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.46076181530952454},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.38774943351745605},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36663228273391724},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34761670231819153},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.30228108167648315},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3016032576560974},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.20251184701919556},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1093/logcom/exv091","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exv091","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:cwi.nl:28787","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/28787","pdf_url":"https://ir.cwi.nl/pub/28787/28787.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","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":"Journal of Logic and Computation vol. 29 no. 4, pp. 419-468","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/205637","is_oa":false,"landing_page_url":"https://hdl.handle.net/2066/205637","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article / Letter to editor"},{"id":"pmh:oai:tudelft.nl:uuid:d03656f1-6eb9-4d33-b91a-67187f3559c1","is_oa":false,"landing_page_url":"http://resolver.tudelft.nl/uuid:d03656f1-6eb9-4d33-b91a-67187f3559c1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"},{"id":"pmh:rug:oai:pure.rug.nl:publications/822c83f6-fe0e-4b26-8b11-798a6401f72f","is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/822c83f6-fe0e-4b26-8b11-798a6401f72f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Logic and Computation, 29(4). Oxford University Press","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:cwi.nl:28787","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/28787","pdf_url":"https://ir.cwi.nl/pub/28787/28787.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","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":"Journal of Logic and Computation vol. 29 no. 4, pp. 419-468","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7185505632","display_name":null,"funder_award_id":"612.001.021","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2340067173.pdf","grobid_xml":"https://content.openalex.org/works/W2340067173.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W36853044","https://openalex.org/W159715351","https://openalex.org/W369805404","https://openalex.org/W990876026","https://openalex.org/W1480685649","https://openalex.org/W1495872178","https://openalex.org/W1513445195","https://openalex.org/W1520893111","https://openalex.org/W1532143586","https://openalex.org/W1539196615","https://openalex.org/W1556919003","https://openalex.org/W1625481196","https://openalex.org/W1969167499","https://openalex.org/W1969279113","https://openalex.org/W1980786790","https://openalex.org/W1987868327","https://openalex.org/W1990062016","https://openalex.org/W2007270285","https://openalex.org/W2007768547","https://openalex.org/W2039112578","https://openalex.org/W2063635911","https://openalex.org/W2067383648","https://openalex.org/W2085552917","https://openalex.org/W2088189323","https://openalex.org/W2088378600","https://openalex.org/W2092367588","https://openalex.org/W2097295178","https://openalex.org/W2107354844","https://openalex.org/W2111944485","https://openalex.org/W2115617817","https://openalex.org/W2115721647","https://openalex.org/W2126431612","https://openalex.org/W2133629640","https://openalex.org/W2149412346","https://openalex.org/W2152635269","https://openalex.org/W2153634616","https://openalex.org/W2154273644","https://openalex.org/W2157144873","https://openalex.org/W2158921667","https://openalex.org/W2164343886","https://openalex.org/W2165952355","https://openalex.org/W2276009245","https://openalex.org/W2398664406","https://openalex.org/W2482538793","https://openalex.org/W2606036170","https://openalex.org/W2949155565","https://openalex.org/W2953127448","https://openalex.org/W3099809655","https://openalex.org/W3102059473","https://openalex.org/W3104126943","https://openalex.org/W3143161861","https://openalex.org/W3148505520","https://openalex.org/W4214621180","https://openalex.org/W4239310085","https://openalex.org/W6606951199","https://openalex.org/W6629865394","https://openalex.org/W6651572671","https://openalex.org/W6669736491","https://openalex.org/W6675183624","https://openalex.org/W6676917345","https://openalex.org/W6677600581","https://openalex.org/W6684673250","https://openalex.org/W6736189737","https://openalex.org/W6785155038","https://openalex.org/W7072040502"],"related_works":["https://openalex.org/W2340067173","https://openalex.org/W2762830351","https://openalex.org/W2025717798","https://openalex.org/W1687592709","https://openalex.org/W4255700610","https://openalex.org/W2942168487","https://openalex.org/W2159109442","https://openalex.org/W3183205774","https://openalex.org/W2074120668","https://openalex.org/W2054150540"],"abstract_inverted_index":{"Abstract":[0],"We":[1,46,73],"define":[2,47],"notions":[3,18],"of":[4,11,23],"well-definedness":[5],"and":[6,14,33,61,85,93,100,170],"observational":[7,76,116,147,168,171],"equivalence":[8,77,117,148],"for":[9,30,36,104,166,177],"programs":[10,63],"mixed":[12],"inductive":[13,31,99],"coinductive":[15,37,101,164],"types.":[16,38],"These":[17],"are":[19,64,90],"defined":[20],"by":[21,124,139],"means":[22],"tests":[24,127],"formulas":[25],"which":[26],"combine":[27],"structural":[28],"congruence":[29],"types":[32,89],"modal":[34],"logic":[35],"Tests":[39],"also":[40],"correspond":[41],"to":[42,50,81,156],"certain":[43],"evaluation":[44],"contexts.":[45],"a":[48,129],"program":[49,107],"be":[51],"well-defined":[52],"if":[53,67],"it":[54],"is":[55,78],"strongly":[56],"normalizing":[57],"under":[58],"all":[59],"tests,":[60],"two":[62],"observationally":[65],"equivalent":[66],"they":[68],"satisfy":[69],"the":[70,110,140],"same":[71],"tests.":[72],"show":[74],"that":[75,83,115,126],"sufficiently":[79],"coarse":[80],"ensure":[82],"least":[84],"greatest":[86],"fixed":[87],"point":[88],"initial":[91],"algebras":[92],"final":[94],"coalgebras,":[95],"respectively.":[96],"This":[97],"yields":[98],"proof":[102],"principles":[103],"reasoning":[105],"about":[106],"behaviour.":[108],"On":[109],"other":[111],"hand,":[112],"we":[113,162],"argue":[114],"does":[118],"not":[119],"identify":[120],"too":[121],"many":[122],"terms,":[123],"showing":[125],"induce":[128],"topology":[130,137],"that,":[131],"on":[132],"streams,":[133],"coincides":[134],"with":[135,174],"usual":[136],"induced":[138],"prefix":[141],"metric.":[142],"As":[143],"one":[144],"would":[145],"expect,":[146],"is,":[149],"in":[150,154],"general,":[151],"undecidable,":[152],"but":[153],"order":[155],"develop":[157],"some":[158],"practically":[159],"useful":[160],"heuristics":[161],"provide":[163],"techniques":[165,176],"establishing":[167],"normalization":[169],"equivalence,":[172],"along":[173],"up-to":[175],"enhancing":[178],"these":[179],"methods.":[180]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}