{"id":"https://openalex.org/W4295073571","doi":"https://doi.org/10.3233/com-210382","title":"Generically and coarsely computable isomorphisms","display_name":"Generically and coarsely computable isomorphisms","publication_year":2022,"publication_date":"2022-09-09","ids":{"openalex":"https://openalex.org/W4295073571","doi":"https://doi.org/10.3233/com-210382"},"language":"en","primary_location":{"id":"doi:10.3233/com-210382","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-210382","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","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/A5044223599","display_name":"Wesley Calvert","orcid":"https://orcid.org/0000-0002-1355-2694"},"institutions":[{"id":"https://openalex.org/I110378019","display_name":"Southern Illinois University Carbondale","ror":"https://ror.org/049kefs16","country_code":"US","type":"education","lineage":["https://openalex.org/I110378019","https://openalex.org/I2801502357"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wesley Calvert","raw_affiliation_strings":["School of Mathematical and Statistical Sciences, Mail Code 4408, Southern Illinois University, 1245 Lincoln Drive, Carbondale, Illinois 62901, USA"],"affiliations":[{"raw_affiliation_string":"School of Mathematical and Statistical Sciences, Mail Code 4408, Southern Illinois University, 1245 Lincoln Drive, Carbondale, Illinois 62901, USA","institution_ids":["https://openalex.org/I110378019"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057979748","display_name":"Douglas Cenzer","orcid":"https://orcid.org/0000-0002-6029-9900"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Douglas Cenzer","raw_affiliation_strings":["Department of Mathematics, University of Florida, Gainesville, FL 32611, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, FL 32611, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071875842","display_name":"Valentina Harizanov","orcid":"https://orcid.org/0000-0002-6626-5074"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Valentina Harizanov","raw_affiliation_strings":["Department of Mathematics, George Washington University, Washington, DC 20052, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, George Washington University, Washington, DC 20052, USA","institution_ids":["https://openalex.org/I193531525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044223599"],"corresponding_institution_ids":["https://openalex.org/I110378019"],"apc_list":null,"apc_paid":null,"fwci":0.4382,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64924923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"3-4","first_page":"223","last_page":"239"},"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.972100019454956,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9717000126838684,"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/computability","display_name":"Computability","score":0.7928162813186646},{"id":"https://openalex.org/keywords/computable-analysis","display_name":"Computable analysis","score":0.6635288596153259},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.6458381414413452},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6359301805496216},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.5712742805480957},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5425577163696289},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4352726936340332},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3874524235725403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3242611289024353},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3226948082447052},{"id":"https://openalex.org/keywords/crystal-structure","display_name":"Crystal structure","score":0.0633879005908966}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.7928162813186646},{"id":"https://openalex.org/C27318111","wikidata":"https://www.wikidata.org/wiki/Q5157264","display_name":"Computable analysis","level":3,"score":0.6635288596153259},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.6458381414413452},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6359301805496216},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.5712742805480957},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5425577163696289},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4352726936340332},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3874524235725403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3242611289024353},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3226948082447052},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0633879005908966},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/com-210382","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-210382","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1797327129","https://openalex.org/W1980224569","https://openalex.org/W2004277670","https://openalex.org/W2023547119","https://openalex.org/W2039358839","https://openalex.org/W2054004295","https://openalex.org/W2147273418","https://openalex.org/W2536989590","https://openalex.org/W2962874125","https://openalex.org/W3091923320","https://openalex.org/W3203090323","https://openalex.org/W4232277851"],"related_works":["https://openalex.org/W98540345","https://openalex.org/W2046021909","https://openalex.org/W2026991960","https://openalex.org/W4238402038","https://openalex.org/W1546826212","https://openalex.org/W2584729637","https://openalex.org/W3196699235","https://openalex.org/W2613746821","https://openalex.org/W4233415116","https://openalex.org/W1755622287"],"abstract_inverted_index":{"Inspired":[0],"by":[1],"the":[2,17,32,49,65,82,85,129],"study":[3,29],"of":[4,19,36,51,67,115],"generic":[5],"and":[6,38,47,53,57,69,73,117,138],"coarse":[7],"computability":[8,10],"in":[9,31],"theory,":[11],"we":[12,26,45,63,131],"extend":[13],"such":[14],"investigation":[15],"to":[16,106],"context":[18],"computable":[20,55,71,93,102,108,119],"model":[21],"theory.":[22],"In":[23,60],"this":[24,61],"paper,":[25,62],"continue":[27],"our":[28],"initiated":[30],"previous":[33],"paper":[34],"(Journal":[35],"Logic":[37],"Computation":[39],"32":[40],"(2022)":[41],"581\u2013607)":[42],",":[43],"where":[44],"introduced":[46],"studied":[48],"notions":[50,66],"generically":[52,68,116],"coarsely":[54,70,92,101,118],"structures":[56,130,137],"their":[58,74],"generalizations.":[59],"introduce":[64],"isomorphisms,":[72,120],"weaker":[75],"variants.":[76],"We":[77,110],"sometimes":[78],"also":[79],"require":[80],"that":[81,112],"isomorphisms":[83],"preserve":[84],"density":[86,99,121],"structure.":[87,109],"For":[88],"example,":[89],"for":[90],"any":[91],"structure":[94],"A,":[95],"there":[96],"is":[97],"a":[98,107],"preserving":[100,122],"isomorphism":[103],"from":[104],"A":[105],"demonstrate":[111],"each":[113],"notion":[114],"or":[123],"not,":[124],"gives":[125],"interesting":[126],"insights":[127],"into":[128],"consider,":[132],"focusing":[133],"on":[134],"various":[135],"equivalence":[136],"injection":[139],"structures.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}