{"id":"https://openalex.org/W3039771566","doi":"https://doi.org/10.3390/info11070349","title":"Prolegomena to an Operator Theory of Computation","display_name":"Prolegomena to an Operator Theory of Computation","publication_year":2020,"publication_date":"2020-07-04","ids":{"openalex":"https://openalex.org/W3039771566","doi":"https://doi.org/10.3390/info11070349","mag":"3039771566"},"language":"en","primary_location":{"id":"doi:10.3390/info11070349","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info11070349","pdf_url":"https://www.mdpi.com/2078-2489/11/7/349/pdf?version=1594047398","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2078-2489/11/7/349/pdf?version=1594047398","any_repository_has_fulltext":true},"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 Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, CA 90095, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, CA 90095, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047605634","display_name":"Gordana Dodig-Crnkovi\u0107","orcid":"https://orcid.org/0000-0001-9881-400X"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Gordana Dodig-Crnkovic","raw_affiliation_strings":["Department of Computer Science and Engineering, Chalmers University of Technology, 41296 Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0000-0001-9881-400X","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Chalmers University of Technology, 41296 Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109006861"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.289,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.62490443,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"7","first_page":"349","last_page":"349"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9945999979972839,"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":0.9945999979972839,"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/T13062","display_name":"Cognitive Computing and Networks","score":0.9537000060081482,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9498000144958496,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.7413927316665649},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.63731849193573},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6139307022094727},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5812856554985046},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5111592411994934},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3403954803943634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2794901728630066},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20219740271568298},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.13322657346725464},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.10617566108703613}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7413927316665649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.63731849193573},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6139307022094727},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5812856554985046},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5111592411994934},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3403954803943634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2794901728630066},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20219740271568298},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.13322657346725464},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.10617566108703613},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/info11070349","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info11070349","pdf_url":"https://www.mdpi.com/2078-2489/11/7/349/pdf?version=1594047398","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9da2a83ef65b41adb5bea2b3a2803e14","is_oa":true,"landing_page_url":"https://doaj.org/article/9da2a83ef65b41adb5bea2b3a2803e14","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":"Information, Vol 11, Iss 7, p 349 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2078-2489/11/7/349/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/info11070349","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Information","raw_type":"Text"},{"id":"pmh:oai:research.chalmers.se:518587","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/dab6bc64-3b0e-4522-baaa-caa48d7f5ccb","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"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:10.3390/info11070349","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info11070349","pdf_url":"https://www.mdpi.com/2078-2489/11/7/349/pdf?version=1594047398","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3039771566.pdf","grobid_xml":"https://content.openalex.org/works/W3039771566.grobid-xml"},"referenced_works_count":63,"referenced_works":["https://openalex.org/W97681402","https://openalex.org/W286344002","https://openalex.org/W563490355","https://openalex.org/W610304474","https://openalex.org/W1558521349","https://openalex.org/W1580859890","https://openalex.org/W1780455115","https://openalex.org/W1796264214","https://openalex.org/W1813736762","https://openalex.org/W1814906138","https://openalex.org/W1884902993","https://openalex.org/W1971242306","https://openalex.org/W1991712029","https://openalex.org/W1992205856","https://openalex.org/W2022817031","https://openalex.org/W2023348730","https://openalex.org/W2063112979","https://openalex.org/W2074200738","https://openalex.org/W2090009487","https://openalex.org/W2098794396","https://openalex.org/W2098903349","https://openalex.org/W2123286132","https://openalex.org/W2128069969","https://openalex.org/W2137852732","https://openalex.org/W2139765337","https://openalex.org/W2146173092","https://openalex.org/W2163152086","https://openalex.org/W2163173910","https://openalex.org/W2163654786","https://openalex.org/W2188467095","https://openalex.org/W2286655885","https://openalex.org/W2321967487","https://openalex.org/W2324440993","https://openalex.org/W2397253692","https://openalex.org/W2465670833","https://openalex.org/W2558639399","https://openalex.org/W2606857975","https://openalex.org/W2612506596","https://openalex.org/W2624218457","https://openalex.org/W2753489114","https://openalex.org/W2891304461","https://openalex.org/W2900858603","https://openalex.org/W2982622273","https://openalex.org/W2993646113","https://openalex.org/W3011148171","https://openalex.org/W3013948342","https://openalex.org/W3025887777","https://openalex.org/W3038155332","https://openalex.org/W3158723480","https://openalex.org/W4210327143","https://openalex.org/W4211005815","https://openalex.org/W4213150941","https://openalex.org/W4231327205","https://openalex.org/W4232836277","https://openalex.org/W4233766477","https://openalex.org/W4240791294","https://openalex.org/W4252290972","https://openalex.org/W4298139215","https://openalex.org/W4388123485","https://openalex.org/W6642886659","https://openalex.org/W6654249880","https://openalex.org/W6687485466","https://openalex.org/W6771378173"],"related_works":["https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W4251748586","https://openalex.org/W2477549100"],"abstract_inverted_index":{"Defining":[0],"computation":[1],"as":[2,9,53],"information":[3,8],"processing":[4],"(information":[5],"dynamics)":[6],"with":[7,36],"a":[10,23,54],"relational":[11],"property":[12],"of":[13,43,56,68,76],"data":[14],"structures":[15],"(the":[16],"difference":[17,24],"in":[18,25,49],"one":[19],"system":[20],"that":[21],"makes":[22,28],"another":[26],"system)":[27],"it":[29],"very":[30],"suitable":[31],"to":[32,38],"use":[33],"operator":[34,45,66],"formulation,":[35],"similarities":[37],"category":[39],"theory.":[40],"The":[41],"concept":[42],"the":[44,65,74],"is":[46],"exceedingly":[47],"important":[48],"many":[50],"knowledge":[51],"areas":[52],"tool":[55],"theoretical":[57],"studies":[58],"and":[59,80],"practical":[60],"applications.":[61],"Here":[62],"we":[63],"introduce":[64],"theory":[67],"computing,":[69],"opening":[70],"new":[71],"opportunities":[72],"for":[73],"exploration":[75],"computing":[77],"devices,":[78],"processes,":[79],"their":[81],"networks.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
