{"id":"https://openalex.org/W4407372869","doi":"https://doi.org/10.46298/lmcs-21(1:15)2025","title":"Categorifying computable reducibilities","display_name":"Categorifying computable reducibilities","publication_year":2025,"publication_date":"2025-02-11","ids":{"openalex":"https://openalex.org/W4407372869","doi":"https://doi.org/10.46298/lmcs-21(1:15)2025"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-21(1:15)2025","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-21(1:15)2025","pdf_url":"https://lmcs.episciences.org/15226/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":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/15226/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074259281","display_name":"Davide Trotta","orcid":"https://orcid.org/0000-0003-4509-594X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Davide Trotta","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087902603","display_name":"Manlio Valenti","orcid":"https://orcid.org/0000-0003-0351-3058"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Manlio Valenti","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5033562494","display_name":"Valeria de Paiva","orcid":"https://orcid.org/0000-0002-1078-6970"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Valeria de Paiva","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074259281"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03220339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Volume 21, 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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9333000183105469,"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":0.9333000183105469,"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":0.5160059928894043},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.42470720410346985},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12055030465126038}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5160059928894043},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.42470720410346985},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12055030465126038}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.46298/lmcs-21(1:15)2025","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-21(1:15)2025","pdf_url":"https://lmcs.episciences.org/15226/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:doaj.org/article:e1b25e8ac5df4fda850049efe8c7c30b","is_oa":true,"landing_page_url":"https://doaj.org/article/e1b25e8ac5df4fda850049efe8c7c30b","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 21, Issue 1 (2025)","raw_type":"article"},{"id":"pmh:oai:www.research.unipd.it:11577/3551268","is_oa":true,"landing_page_url":"https://lmcs.episciences.org/15226","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-21(1:15)2025","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-21(1:15)2025","pdf_url":"https://lmcs.episciences.org/15226/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/W4407372869.pdf","grobid_xml":"https://content.openalex.org/works/W4407372869.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"categorical":[3,27],"formulations":[4],"of":[5,34,54,82,84,99],"Turing,":[6],"Medvedev,":[7],"Muchnik,":[8],"and":[9,39,44],"Weihrauch":[10,37,109],"reducibilities":[11],"in":[12],"Computability":[13],"Theory,":[14],"utilizing":[15],"Lawvere":[16],"doctrines.":[17],"While":[18],"the":[19,31,112],"first":[20],"notions":[21],"lend":[22],"themselves":[23],"to":[24,42,79,89,106],"a":[25,48,58,97,117],"smooth":[26],"presentation,":[28],"essentially":[29],"dualizing":[30],"traditional":[32],"idea":[33],"realizability":[35],"doctrines,":[36,87],"reducibility":[38,110],"its":[40],"extensions":[41],"represented":[43],"multi-represented":[45],"spaces":[46],"require":[47],"separate":[49],"investigation.":[50],"Our":[51],"abstract":[52],"analysis":[53],"these":[55,63,70,100],"concepts":[56,75],"highlights":[57],"shared":[59],"characteristic":[60],"among":[61],"all":[62,69],"reducibilities.":[64],"Specifically,":[65],"we":[66,102],"demonstrate":[67],"that":[68],"doctrines":[71,93],"stemming":[72],"from":[73,116],"computability":[74],"can":[76],"be":[77,80,104],"proven":[78],"instances":[81],"completions":[83],"quantifiers":[85],"for":[86,92,94],"analogous":[88],"what":[90],"occurs":[91],"realizability.":[95],"As":[96],"corollary":[98],"results,":[101],"will":[103],"able":[105],"formally":[107],"compare":[108],"with":[111],"dialectica":[113],"doctrine":[114,118],"constructed":[115],"representing":[119],"Turing":[120],"degrees.":[121]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
