{"id":"https://openalex.org/W2072114392","doi":"https://doi.org/10.1002/malq.19980440102","title":"Computability of String Functions Over Algebraic Structures Armin Hemmerling","display_name":"Computability of String Functions Over Algebraic Structures Armin Hemmerling","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2072114392","doi":"https://doi.org/10.1002/malq.19980440102","mag":"2072114392"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19980440102","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19980440102","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5074641102","display_name":"Armin Hemmerling","orcid":null},"institutions":[{"id":"https://openalex.org/I36522303","display_name":"Universit\u00e4t Greifswald","ror":"https://ror.org/00r1edq15","country_code":"DE","type":"education","lineage":["https://openalex.org/I36522303"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Armin Hemmerling","raw_affiliation_strings":["Institute for Mathematics and Computer Science, Ernst Moritz Arndt University, Friedrich-Ludwig-Jahn-Stra\u00dfe 15a, D\u201317487 Greifswald, Germany","Institute for Mathematics and Computer Science, Ernst Moritz Arndt University, Friedrich\u2010Ludwig\u2010Jahn\u2010Stra\u00dfe 15a, D\u201317487 Greifswald, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and Computer Science, Ernst Moritz Arndt University, Friedrich-Ludwig-Jahn-Stra\u00dfe 15a, D\u201317487 Greifswald, Germany","institution_ids":["https://openalex.org/I36522303"]},{"raw_affiliation_string":"Institute for Mathematics and Computer Science, Ernst Moritz Arndt University, Friedrich\u2010Ludwig\u2010Jahn\u2010Stra\u00dfe 15a, D\u201317487 Greifswald, Germany","institution_ids":["https://openalex.org/I36522303"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074641102"],"corresponding_institution_ids":["https://openalex.org/I36522303"],"apc_list":{"value":2900,"currency":"USD","value_usd":2900},"apc_paid":null,"fwci":1.9551,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.86364532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"44","issue":"1","first_page":"1","last_page":"44"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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":1.0,"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/T11567","display_name":"semigroups and automata theory","score":0.9986000061035156,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.9032778739929199},{"id":"https://openalex.org/keywords/computability-theory","display_name":"Computability theory","score":0.755748450756073},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.6868395805358887},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6017926335334778},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.5527274012565613},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.5305835604667664},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.48339810967445374},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44097018241882324},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4207106828689575},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29711151123046875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15478700399398804}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.9032778739929199},{"id":"https://openalex.org/C111142201","wikidata":"https://www.wikidata.org/wiki/Q818930","display_name":"Computability theory","level":2,"score":0.755748450756073},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.6868395805358887},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6017926335334778},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.5527274012565613},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.5305835604667664},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.48339810967445374},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44097018241882324},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4207106828689575},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29711151123046875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15478700399398804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19980440102","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19980440102","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W4949163","https://openalex.org/W45041741","https://openalex.org/W74876785","https://openalex.org/W167485563","https://openalex.org/W202073137","https://openalex.org/W609229949","https://openalex.org/W622364012","https://openalex.org/W1197238029","https://openalex.org/W1457540691","https://openalex.org/W1494994700","https://openalex.org/W1503390214","https://openalex.org/W1513232382","https://openalex.org/W1545819195","https://openalex.org/W1553142094","https://openalex.org/W1557500530","https://openalex.org/W1569223466","https://openalex.org/W1580999956","https://openalex.org/W1971810444","https://openalex.org/W1977367505","https://openalex.org/W1987246486","https://openalex.org/W1989522918","https://openalex.org/W1990400350","https://openalex.org/W2002636386","https://openalex.org/W2004238969","https://openalex.org/W2007357849","https://openalex.org/W2010927194","https://openalex.org/W2012140001","https://openalex.org/W2014131084","https://openalex.org/W2016313399","https://openalex.org/W2017531368","https://openalex.org/W2030220007","https://openalex.org/W2047734040","https://openalex.org/W2059568104","https://openalex.org/W2070746010","https://openalex.org/W2071846104","https://openalex.org/W2076687871","https://openalex.org/W2076989750","https://openalex.org/W2080928066","https://openalex.org/W2088133247","https://openalex.org/W2088171493","https://openalex.org/W2104882047","https://openalex.org/W2111235650","https://openalex.org/W2120852349","https://openalex.org/W2126544183","https://openalex.org/W2219464666","https://openalex.org/W2274496053","https://openalex.org/W2278887141","https://openalex.org/W2506110072","https://openalex.org/W2530006810","https://openalex.org/W2561675875","https://openalex.org/W2905135108","https://openalex.org/W2911302472","https://openalex.org/W4206210214","https://openalex.org/W4230166451","https://openalex.org/W4233956926","https://openalex.org/W4234956720","https://openalex.org/W4238365745","https://openalex.org/W4242679002","https://openalex.org/W4244425465","https://openalex.org/W4245555137","https://openalex.org/W4247184275","https://openalex.org/W4248695146","https://openalex.org/W4253709604","https://openalex.org/W4255933432","https://openalex.org/W4256369010","https://openalex.org/W4295028049","https://openalex.org/W4298290503","https://openalex.org/W6678217222"],"related_works":["https://openalex.org/W1555412307","https://openalex.org/W4247585886","https://openalex.org/W4388310202","https://openalex.org/W596942210","https://openalex.org/W4243200898","https://openalex.org/W4389946807","https://openalex.org/W4376312568","https://openalex.org/W2480451440","https://openalex.org/W3102609132","https://openalex.org/W2310420552"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"present":[2],"a":[3,21,80,152],"model":[4],"of":[5,20,24,35,47,51,53,58,92,99,106,120,126,141],"computation":[6],"for":[7,75],"string":[8],"functions":[9],"over":[10,37],"single\u2010sorted,":[11],"total":[12],"algebraic":[13],"structures":[14,125],"and":[15,40,88,117],"study":[16],"some":[17,56],"basic":[18],"features":[19],"general":[22,139],"theory":[23,67],"computability":[25,36,87,94],"within":[26,61],"this":[27,71,146],"framework.":[28],"Our":[29],"concept":[30,91],"generalizes":[31],"the":[32,38,73,121,134,138],"Blum\u2010Shub\u2010Smale":[33],"setting":[34],"reals":[39],"other":[41,116],"rings.":[42],"By":[43],"dealing":[44],"with":[45,110,133],"strings":[46],"arbitrary":[48],"length":[49],"instead":[50],"tuples":[52],"fixed":[54],"length,":[55],"suppositions":[57],"deeper":[59],"results":[60],"former":[62],"approaches":[63],"to":[64,85,89,112],"generalized":[65],"recursion":[66],"become":[68],"superfluous.":[69],"Moreover,":[70],"gives":[72],"basis":[74],"introducing":[76],"computational":[77],"complexity":[78],"in":[79,151],"BSS\u2010like":[81],"manner.":[82],"Relationships":[83],"both":[84],"classical":[86],"Friedman's":[90],"eds":[93],"are":[95,108,130],"established.":[96],"Two":[97],"kinds":[98],"nondeterminism":[100],"as":[101,103],"well":[102],"several":[104],"variants":[105],"recognizability":[107],"investigated":[109],"respect":[111],"interdependencies":[113],"on":[114,118],"each":[115],"properties":[119],"underlying":[122],"structures.":[123],"For":[124,137],"finite":[127,144],"signatures,":[128],"there":[129],"universal":[131],"programs":[132],"usual":[135],"characteristics.":[136],"case":[140],"not":[142],"necessarily":[143],"signature,":[145],"subject":[147],"will":[148],"be":[149],"studied":[150],"separate,":[153],"forthcoming":[154],"paper.":[155]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
