{"id":"https://openalex.org/W2761554012","doi":"https://doi.org/10.2168/lmcs-9(4:4)2013","title":"Step-Indexed Relational Reasoning for Countable Nondeterminism","display_name":"Step-Indexed Relational Reasoning for Countable Nondeterminism","publication_year":2013,"publication_date":"2013-10-15","ids":{"openalex":"https://openalex.org/W2761554012","doi":"https://doi.org/10.2168/lmcs-9(4:4)2013","mag":"2761554012"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-9(4:4)2013","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-9(4:4)2013","pdf_url":"https://lmcs.episciences.org/940/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/940/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055959064","display_name":"Lars Birkedal","orcid":"https://orcid.org/0000-0003-1320-0098"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]},{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE","DK"],"is_corresponding":false,"raw_author_name":"Lars Birkedal","raw_affiliation_strings":["Aarhus University","Saarland University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aarhus University","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":"Saarland University","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067950871","display_name":"Ale\u0161 Bizjak","orcid":"https://orcid.org/0000-0002-2982-827X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ale\u0161 Bizjak","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5062310143","display_name":"Jan Schwinghammer","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jan Schwinghammer","raw_affiliation_strings":["Saarland University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Saarland University","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4706,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91102528,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"Volume 9, Issue 4","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9991000294685364,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9987999796867371,"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/countable-set","display_name":"Countable set","score":0.6962794661521912},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6617467403411865},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41099682450294495},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3536199927330017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2550475001335144},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24067765474319458}],"concepts":[{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.6962794661521912},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6617467403411865},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41099682450294495},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3536199927330017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2550475001335144},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24067765474319458}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.2168/lmcs-9(4:4)2013","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-9(4:4)2013","pdf_url":"https://lmcs.episciences.org/940/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1310.2031","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1310.2031","pdf_url":"https://arxiv.org/pdf/1310.2031","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.741.7150","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.741.7150","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1310.2031.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.875.5188","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.875.5188","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.researchgate.net/profile/Ales_Bizjak2/publication/257459602_Step-Indexed_Relational_Reasoning_for_Countable_Nondeterminism/links/540dc28b0cf2f2b29a3a04e5.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:b1641a6b22a94774853055dfae99a12c","is_oa":true,"landing_page_url":"https://doaj.org/article/b1641a6b22a94774853055dfae99a12c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 9, Issue 4 (2013)","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/0fb7f5f0-9453-4307-8b4b-90fdd7a0180a","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/0fb7f5f0-9453-4307-8b4b-90fdd7a0180a","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Birkedal, L, Bizjak, A & Schwinghamme, J 2013, 'Step-Indexed Relational Reasoning for Countable Nondeterminism', Logical Methods in Computer Science, vol. 9, no. 4, 4. https://doi.org/10.2168/LMCS-9(4:4)2013","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.2168/lmcs-9(4:4)2013","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-9(4:4)2013","pdf_url":"https://lmcs.episciences.org/940/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2761554012.pdf","grobid_xml":"https://content.openalex.org/works/W2761554012.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W102024464","https://openalex.org/W1490282072","https://openalex.org/W1518839438","https://openalex.org/W1824087518","https://openalex.org/W1973030866","https://openalex.org/W1991984504","https://openalex.org/W2014552079","https://openalex.org/W2058905539","https://openalex.org/W2060852846","https://openalex.org/W2098830227","https://openalex.org/W2123329569","https://openalex.org/W2126748053","https://openalex.org/W2130505204","https://openalex.org/W2134181241","https://openalex.org/W2137451090","https://openalex.org/W2142030149","https://openalex.org/W2153128836","https://openalex.org/W2153644103","https://openalex.org/W2166449267","https://openalex.org/W2949578585","https://openalex.org/W3003392917","https://openalex.org/W4235454363","https://openalex.org/W4251232459"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4299610791","https://openalex.org/W2950866767","https://openalex.org/W1631776469","https://openalex.org/W3207604768","https://openalex.org/W3019662020","https://openalex.org/W4281680667","https://openalex.org/W3106300234"],"abstract_inverted_index":{"Programming":[0],"languages":[1,34],"with":[2,35,53],"countable":[3,10,20,36,54],"nondeterministic":[4],"choice":[5,21],"are":[6,88],"computationally":[7],"interesting":[8],"since":[9],"nondeterminism":[11,37,55],"arises":[12],"when":[13],"modeling":[14],"fairness":[15],"for":[16,32,86],"concurrent":[17],"systems.":[18],"Because":[19],"introduces":[22],"non-continuous":[23],"behaviour,":[24],"it":[25,59],"is":[26,38],"well-known":[27],"that":[28],"developing":[29],"semantic":[30],"models":[31],"programming":[33,51],"challenging.":[39],"We":[40],"present":[41],"a":[42,48],"step-indexed":[43,73,84],"logical":[44],"relations":[45,85],"model":[46],"of":[47],"higher-order":[49],"functional":[50],"language":[52],"and":[56,69],"demonstrate":[57],"how":[58],"can":[60],"be":[61],"used":[62],"to":[63],"reason":[64],"about":[65],"contextually":[66],"defined":[67],"may-":[68],"must-equivalence.":[70],"In":[71],"earlier":[72],"models,":[74],"the":[75,83],"indices":[76],"have":[77],"been":[78],"drawn":[79],"from":[80],"{\\omega}.":[81,95],"Here":[82],"must-equivalence":[87],"indexed":[89],"over":[90],"an":[91],"ordinal":[92],"greater":[93],"than":[94]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
