{"id":"https://openalex.org/W2560355278","doi":"https://doi.org/10.23638/lmcs-13(1:2)2017","title":"Mixed powerdomains for probability and nondeterminism","display_name":"Mixed powerdomains for probability and nondeterminism","publication_year":2017,"publication_date":"2017-01-24","ids":{"openalex":"https://openalex.org/W2560355278","doi":"https://doi.org/10.23638/lmcs-13(1:2)2017","mag":"2560355278"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-13(1:2)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(1:2)2017","pdf_url":"https://lmcs.episciences.org/2665/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/2665/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021690782","display_name":"Klaus Keimel","orcid":null},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Klaus Keimel","raw_affiliation_strings":["Fachbereich Mathematik, Technische Universit\u00e4t Darmstadt"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Technische Universit\u00e4t Darmstadt","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070609290","display_name":"Gordon Plotkin","orcid":"https://orcid.org/0000-0001-8496-6096"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gordon D. Plotkin","raw_affiliation_strings":["Laboratory for Foundations of Computer Science, School of Informatics, University of Edinburgh"],"affiliations":[{"raw_affiliation_string":"Laboratory for Foundations of Computer Science, School of Informatics, University of Edinburgh","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021690782"],"corresponding_institution_ids":["https://openalex.org/I31512782"],"apc_list":null,"apc_paid":null,"fwci":2.2847,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.90651465,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"Volume 13, Issue 1","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":0.9962999820709229,"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":0.9962999820709229,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.994700014591217,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9930999875068665,"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/computer-science","display_name":"Computer science","score":0.3579275608062744},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32511740922927856}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3579275608062744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32511740922927856}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23638/lmcs-13(1:2)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(1:2)2017","pdf_url":"https://lmcs.episciences.org/2665/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:1612.01005","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1612.01005","pdf_url":"https://arxiv.org/pdf/1612.01005","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:pure.ed.ac.uk:publications/1300096c-471b-4afd-8370-270e189ef71f","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/1300096c-471b-4afd-8370-270e189ef71f","pdf_url":"http://hdl.handle.net/20.500.11820/1300096c-471b-4afd-8370-270e189ef71f","source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:doaj.org/article:f5586af64ff64972ace6094063f50f7e","is_oa":true,"landing_page_url":"https://doaj.org/article/f5586af64ff64972ace6094063f50f7e","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 13, Issue 1 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.23638/lmcs-13(1:2)2017","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-13(1:2)2017","pdf_url":"https://lmcs.episciences.org/2665/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":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2560355278.pdf","grobid_xml":"https://content.openalex.org/works/W2560355278.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W10935013","https://openalex.org/W29089316","https://openalex.org/W144055994","https://openalex.org/W202451407","https://openalex.org/W577570849","https://openalex.org/W1459858084","https://openalex.org/W1492711856","https://openalex.org/W1504899363","https://openalex.org/W1580323521","https://openalex.org/W1674596735","https://openalex.org/W1734364899","https://openalex.org/W1935088456","https://openalex.org/W1964119730","https://openalex.org/W1965183055","https://openalex.org/W1968293352","https://openalex.org/W1970904244","https://openalex.org/W1980827618","https://openalex.org/W1990034831","https://openalex.org/W1995410278","https://openalex.org/W1999355680","https://openalex.org/W2005449309","https://openalex.org/W2009311190","https://openalex.org/W2011051448","https://openalex.org/W2021860025","https://openalex.org/W2022168243","https://openalex.org/W2044178213","https://openalex.org/W2056100909","https://openalex.org/W2071747607","https://openalex.org/W2075406361","https://openalex.org/W2080572348","https://openalex.org/W2080798585","https://openalex.org/W2080985808","https://openalex.org/W2094414831","https://openalex.org/W2102750354","https://openalex.org/W2112534179","https://openalex.org/W2115154197","https://openalex.org/W2119554145","https://openalex.org/W2120713972","https://openalex.org/W2141670510","https://openalex.org/W2144793956","https://openalex.org/W2144846366","https://openalex.org/W2146101673","https://openalex.org/W2152206644","https://openalex.org/W2152610855","https://openalex.org/W2155519322","https://openalex.org/W2155748644","https://openalex.org/W2159344381","https://openalex.org/W2204195969","https://openalex.org/W2212044066","https://openalex.org/W2315523708","https://openalex.org/W2529887420","https://openalex.org/W2556537482","https://openalex.org/W2574983198","https://openalex.org/W2783135428","https://openalex.org/W2912843816","https://openalex.org/W2914212232","https://openalex.org/W4210427261","https://openalex.org/W4214578059","https://openalex.org/W4230311034","https://openalex.org/W4230994642","https://openalex.org/W4299415759"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"We":[0,10],"consider":[1,169],"mixed":[2],"powerdomains":[3,58],"combining":[4,92],"ordinary":[5],"nondeterminism":[6,97],"and":[7,25,32,55,154,168,174],"probabilistic":[8,72,79,102,150],"nondeterminism.":[9],"characterise":[11],"them":[12,197],"as":[13,42,114],"free":[14,170,202],"algebras":[15,151],"for":[16],"suitable":[17,60],"(in)equation-al":[18],"theories;":[19],"we":[20,26,115,131,164,180],"establish":[21],"functional":[22,172],"representation":[23],"theorems;":[24],"show":[27],"equivalencies":[28],"between":[29,193],"state":[30],"transformers":[31],"appropriately":[33],"healthy":[34],"predicate":[35,175],"transformers.":[36,176],"The":[37,57],"extended":[38],"nonnegative":[39],"reals":[40],"serve":[41],"`truth-values'.":[43],"As":[44],"usual":[45],"with":[46,129,190],"powerdomains,":[47],"everything":[48],"comes":[49],"in":[50],"three":[51],"flavours:":[52],"lower,":[53],"upper,":[54],"order-convex.":[56],"are":[59,145,157],"convex":[61,140],"sets":[62,141],"of":[63,96,110,152,183,196],"subprobability":[64],"valuations,":[65,130],"corresponding":[66],"to":[67,77,91,100,147,160],"resolving":[68],"nondeterministic":[69,85],"choice":[70,80,86,103],"before":[71],"choice.":[73],"Algebraically":[74],"this":[75],"corresponds":[76],"the":[78,84,93,118,148,191,194],"operator":[81],"distributing":[82],"over":[83],"operator.":[87],"(An":[88],"alternative":[89],"approach":[90,120],"two":[94,195],"forms":[95],"would":[98],"be":[99],"resolve":[101],"first,":[104],"arriving":[105],"at":[106],"a":[107,133,201],"domain-theoretic":[108,134,138,187],"version":[109],"random":[111],"sets.":[112],"However,":[113],"also":[116],"show,":[117],"algebraic":[119],"then":[121],"runs":[122],"into":[123],"difficulties.)":[124],"Rather":[125],"than":[126],"working":[127],"directly":[128],"take":[132],"functional-analytic":[135],"approach,":[136],"employing":[137],"abstract":[139,149],"called":[142],"Kegelspitzen;":[143],"these":[144],"equivalent":[146],"Graham":[153],"Jones,":[155],"but":[156],"more":[158],"convenient":[159],"work":[161,185],"with.":[162],"So":[163],"define":[165],"power":[166],"Kegelspitzen,":[167],"algebras,":[171],"representations,":[173],"To":[177],"do":[178],"so":[179],"make":[181],"use":[182],"previous":[184],"on":[186,205],"cones":[188],"(d-cones),":[189],"bridge":[192],"being":[198],"provided":[199],"by":[200],"d-cone":[203],"construction":[204],"Kegelspitzen.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}