{"id":"https://openalex.org/W4200375745","doi":"https://doi.org/10.1080/17445760.2021.2016754","title":"On totalisation of computable functions in a distributive environment","display_name":"On totalisation of computable functions in a distributive environment","publication_year":2021,"publication_date":"2021-12-29","ids":{"openalex":"https://openalex.org/W4200375745","doi":"https://doi.org/10.1080/17445760.2021.2016754"},"language":"en","primary_location":{"id":"doi:10.1080/17445760.2021.2016754","is_oa":false,"landing_page_url":"https://doi.org/10.1080/17445760.2021.2016754","pdf_url":null,"source":{"id":"https://openalex.org/S85375271","display_name":"International Journal of Parallel Emergent and Distributed Systems","issn_l":"1744-5760","issn":["1744-5760","1744-5779"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Parallel, Emergent and Distributed Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109006861","display_name":"Mark Burgin","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mark Burgin","raw_affiliation_strings":["Department of Computer Science, University of California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032367342","display_name":"Matan Shtepel","orcid":"https://orcid.org/0000-0003-1296-0984"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matan Shtepel","raw_affiliation_strings":["Department of Computer Science, University of California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109006861"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22509555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"3","first_page":"273","last_page":"291"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9997000098228455,"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/T11567","display_name":"semigroups and automata theory","score":0.9994999766349792,"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":0.7119517922401428},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.7060362696647644},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6842347383499146},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.621067464351654},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5811817049980164},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.5803216099739075},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.49265438318252563},{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.4365331530570984},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4276975989341736},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2450994849205017},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21994638442993164},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14464440941810608}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7119517922401428},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.7060362696647644},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6842347383499146},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.621067464351654},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5811817049980164},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.5803216099739075},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.49265438318252563},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.4365331530570984},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4276975989341736},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2450994849205017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21994638442993164},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14464440941810608},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/17445760.2021.2016754","is_oa":false,"landing_page_url":"https://doi.org/10.1080/17445760.2021.2016754","pdf_url":null,"source":{"id":"https://openalex.org/S85375271","display_name":"International Journal of Parallel Emergent and Distributed Systems","issn_l":"1744-5760","issn":["1744-5760","1744-5779"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Parallel, Emergent and Distributed Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W563490355","https://openalex.org/W571574236","https://openalex.org/W1829303854","https://openalex.org/W1969005071","https://openalex.org/W1988732409","https://openalex.org/W1994584977","https://openalex.org/W2012140001","https://openalex.org/W2087237939","https://openalex.org/W2094542439","https://openalex.org/W2139765337","https://openalex.org/W2493346748","https://openalex.org/W4237518902","https://openalex.org/W4302339081"],"related_works":["https://openalex.org/W2164619678","https://openalex.org/W2094667621","https://openalex.org/W2382957647","https://openalex.org/W2113544496","https://openalex.org/W1509295490","https://openalex.org/W1669105318","https://openalex.org/W2962878999","https://openalex.org/W1749534632","https://openalex.org/W2269626448","https://openalex.org/W3082905985"],"abstract_inverted_index":{"Totalisation":[0],"of":[1,8,45,54,58,99,103,116],"operations":[2],"and":[3,17,34,51,66,73,113,121],"functions":[4,25,47],"is":[5],"a":[6,128],"subject":[7],"great":[9],"importance":[10],"in":[11,18,20,48,118],"the":[12,43,49,55,96,101,114],"precise":[13],"sciences":[14],"at":[15],"large,":[16],"particular,":[19],"computer":[21,64],"science,":[22],"where":[23],"computed":[24],"must":[26],"be":[27],"totalised":[28],"to":[29,70,127],"account":[30],"for":[31,132],"edge":[32],"cases":[33],"prevent":[35],"system":[36],"failures.":[37],"In":[38,123],"this":[39],"paper,":[40],"we":[41,125],"investigate":[42],"totalisation":[44,117],"computable":[46],"general":[50],"abstract":[52],"setting":[53],"axiomatic":[56],"theory":[57],"computing":[59,104],"systems,":[60],"such":[61],"as":[62],"automata,":[63],"networks,":[65],"algorithms,":[67],"allowing":[68],"us":[69],"define":[71],"characteristics":[72],"discover":[74],"relations":[75],"which":[76],"resonate":[77],"true":[78],"through":[79,87],"many":[80],"computational":[81],"models":[82],"\u2013":[83],"from":[84],"individual":[85],"automata":[86],"complex":[88],"distributed":[89],"systems":[90,105],"with":[91],"concurrent":[92],"functioning.":[93],"We":[94],"explore":[95],"possible":[97],"types":[98],"totalisations,":[100,112],"complexes":[102],"that":[106],"do":[107,109],"(or":[108],"not)":[110],"have":[111],"behaviour":[115],"various":[119],"transformations":[120],"compositions.":[122],"addition,":[124],"point":[126],"few":[129],"interesting":[130],"directions":[131],"future":[133],"research.":[134]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}