{"id":"https://openalex.org/W3214798972","doi":"https://doi.org/10.46298/lmcs-17(4:11)2021","title":"Extensional and Intensional Semantics of Bounded and Unbounded Nondeterminism","display_name":"Extensional and Intensional Semantics of Bounded and Unbounded Nondeterminism","publication_year":2021,"publication_date":"2021-11-24","ids":{"openalex":"https://openalex.org/W3214798972","doi":"https://doi.org/10.46298/lmcs-17(4:11)2021","mag":"3214798972"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-17(4:11)2021","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-17(4:11)2021","pdf_url":"https://lmcs.episciences.org/8749/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/8749/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051457838","display_name":"James D. Laird","orcid":"https://orcid.org/0000-0002-3636-8937"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"James Laird","raw_affiliation_strings":["CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany","Department of Computer Science, University of Bath, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany","institution_ids":[]},{"raw_affiliation_string":"Department of Computer Science, University of Bath, UK","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051457838"],"corresponding_institution_ids":["https://openalex.org/I51601045"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17676835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Volume 17, 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/T10126","display_name":"Logic, programming, and type systems","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/T10126","display_name":"Logic, programming, and type systems","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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9994999766349792,"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":0.9940000176429749,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.7291048169136047},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6597402691841125},{"id":"https://openalex.org/keywords/extensional-definition","display_name":"Extensional definition","score":0.5106826424598694},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.502617359161377},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.47786349058151245},{"id":"https://openalex.org/keywords/denotational-semantics","display_name":"Denotational semantics","score":0.4599527418613434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4534972608089447},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4461824595928192},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.4270560145378113},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3662011921405792},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2313109040260315},{"id":"https://openalex.org/keywords/operational-semantics","display_name":"Operational semantics","score":0.22059041261672974}],"concepts":[{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.7291048169136047},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6597402691841125},{"id":"https://openalex.org/C136137745","wikidata":"https://www.wikidata.org/wiki/Q19515659","display_name":"Extensional definition","level":3,"score":0.5106826424598694},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.502617359161377},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.47786349058151245},{"id":"https://openalex.org/C207648694","wikidata":"https://www.wikidata.org/wiki/Q1189746","display_name":"Denotational semantics","level":4,"score":0.4599527418613434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4534972608089447},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4461824595928192},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.4270560145378113},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3662011921405792},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2313109040260315},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.22059041261672974},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C77928131","wikidata":"https://www.wikidata.org/wiki/Q193343","display_name":"Tectonics","level":2,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.46298/lmcs-17(4:11)2021","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-17(4:11)2021","pdf_url":"https://lmcs.episciences.org/8749/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:1710.10203","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1710.10203","pdf_url":"https://arxiv.org/pdf/1710.10203","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:doaj.org/article:595d2db9f378462683907329a327323a","is_oa":true,"landing_page_url":"https://doaj.org/article/595d2db9f378462683907329a327323a","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 17, Issue 4 (2021)","raw_type":"article"},{"id":"pmh:oai:purehost.bath.ac.uk:openaire/091bece2-c977-4519-a2e7-578b490327c3","is_oa":true,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/091bece2-c977-4519-a2e7-578b490327c3","pdf_url":null,"source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Laird, J 2021, 'Extensional and Intensional Semantics of Bounded and Unbounded Nondeterminism', Logical Methods in Computer Science, vol. 17, no. 4, pp. 11:1-11:37. https://doi.org/10.46298/lmcs-17(4:11)2021","raw_type":"article"},{"id":"pmh:oai:purehost.bath.ac.uk:publications/091bece2-c977-4519-a2e7-578b490327c3","is_oa":false,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85129795443&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.46298/lmcs-17(4:11)2021","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-17(4:11)2021","pdf_url":"https://lmcs.episciences.org/8749/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":[{"id":"https://openalex.org/G378724862","display_name":null,"funder_award_id":"EP/K037633/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3214798972.pdf","grobid_xml":"https://content.openalex.org/works/W3214798972.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1486197358","https://openalex.org/W1553206107","https://openalex.org/W1562341354","https://openalex.org/W1564744357","https://openalex.org/W1564803537","https://openalex.org/W1764258261","https://openalex.org/W1824087518","https://openalex.org/W1978840985","https://openalex.org/W1982535387","https://openalex.org/W2007270285","https://openalex.org/W2012319728","https://openalex.org/W2014552079","https://openalex.org/W2017055028","https://openalex.org/W2099683378","https://openalex.org/W2103953153","https://openalex.org/W2156547868","https://openalex.org/W2156992159","https://openalex.org/W2207126642","https://openalex.org/W2293720230","https://openalex.org/W2359106268","https://openalex.org/W2601092150","https://openalex.org/W2953374554"],"related_works":["https://openalex.org/W2037785443","https://openalex.org/W1986227685","https://openalex.org/W2912634749","https://openalex.org/W2034188142","https://openalex.org/W4226533695","https://openalex.org/W2050321215","https://openalex.org/W2025620809","https://openalex.org/W2294826973","https://openalex.org/W2035306406","https://openalex.org/W2141424496"],"abstract_inverted_index":{"We":[0,75,94],"give":[1],"extensional":[2,36],"and":[3,17,37,56,59,80,90,128,177],"intensional":[4,38],"characterizations":[5],"of":[6,104,108,144,173],"functional":[7,86],"programs":[8],"with":[9,70,88,124],"nondeterminism:":[10],"as":[11,18],"structure":[12],"preserving":[13],"functions":[14,159],"between":[15],"biorders,":[16],"nondeterministic":[19],"sequential":[20,49,64,85],"algorithms":[21,65],"on":[22,63],"ordered":[23],"concrete":[24],"data":[25],"structures":[26],"which":[27,51,66,136,160],"compute":[28],"them.":[29],"A":[30],"fundamental":[31],"result":[32],"establishes":[33],"that":[34,96,117,154,182],"these":[35,97],"representations":[39],"are":[40,98,121,161],"equivalent,":[41],"by":[42,77,130,164,166],"showing":[43],"how":[44],"to":[45,68,72,126,180],"construct":[46],"the":[47,61,102,105,112,140,145,149,174],"unique":[48],"algorithm":[50],"computes":[52],"a":[53,132,168],"given":[54],"monotone":[55],"stable":[57],"function,":[58],"describing":[60],"conditions":[62],"correspond":[67],"continuity":[69],"respect":[71,125],"each":[73],"order.":[74],"illustrate":[76],"defining":[78],"may-testing":[79,127],"must-testing":[81,106,129],"denotational":[82],"semantics":[83,107],"for":[84,142],"languages":[87],"bounded":[89,113],"unbounded":[91,109,150],"choice":[92],"operators.":[93],"prove":[95,116],"computationally":[99],"adequate,":[100],"despite":[101],"non-continuity":[103],"nondeterminism.":[110],"In":[111,148],"case,":[114],"we":[115,152],"our":[118,155],"continuous":[119],"models":[120,143],"fully":[122,186],"abstract":[123],"identifying":[131,167],"simple":[133],"universal":[134],"type,":[135],"may":[137],"also":[138],"form":[139],"basis":[141],"untyped":[146],"{\\lambda}-calculus.":[147],"case":[151],"observe":[153],"model":[156],"contains":[157],"computable":[158],"not":[162,185],"denoted":[163],"terms,":[165],"further":[169],"\"weak":[170],"continuity\"":[171],"property":[172],"definable":[175],"elements,":[176],"use":[178],"this":[179],"establish":[181],"it":[183],"is":[184],"abstract.":[187]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2021-12-06T00:00:00"}