{"id":"https://openalex.org/W4246727772","doi":"https://doi.org/10.1007/978-3-322-83091-3_4","title":"Unl\u00f6sbarkeit","display_name":"Unl\u00f6sbarkeit","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W4246727772","doi":"https://doi.org/10.1007/978-3-322-83091-3_4"},"language":"de","primary_location":{"id":"doi:10.1007/978-3-322-83091-3_4","doi":"https://doi.org/10.1007/978-3-322-83091-3_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-322-83091-3_4","pdf_url":null,"source":{"id":"https://openalex.org/S4306464255","display_name":"Vieweg+Teubner eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Berechenbarkeit und Unl\u00f6sbarkeit","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2485567892","display_name":"Berechenbarkeit und Unl\u00f6sbarkeit"},"type":"book-chapter","is_traditional":true,"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/A5015751391","display_name":"Klemens D\u00f6pp","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I898379201","display_name":"Freudenberg (Germany)","ror":"https://ror.org/042fpk261","country_code":"DE","type":"company","lineage":["https://openalex.org/I898379201"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Klemens D\u00f6pp","raw_affiliation_strings":["Lagemannstr. 3a, 57258, Freudenberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lagemannstr. 3a, 57258, Freudenberg, Germany","institution_ids":["https://openalex.org/I898379201"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015751391"],"corresponding_institution_ids":["https://openalex.org/I898379201"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.55785953,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"127","last_page":"164"},"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":0.0,"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/T10126","display_name":"Logic, programming, and type systems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/undecidability","display_name":"undecidability","score":0.9120000004768372},{"id":"https://openalex.org/keywords/computability","display_name":"computability","score":0.5379999876022339},{"id":"https://openalex.org/keywords/partial-recursive-functions","display_name":"partial recursive functions","score":0.6919999718666077},{"id":"https://openalex.org/keywords/algorithmic-unsolvability","display_name":"algorithmic unsolvability","score":0.7990000247955322},{"id":"https://openalex.org/keywords/computably-enumerable-sets","display_name":"computably enumerable sets","score":0.5799999833106995}],"concepts":[{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.4316677153110504},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.4210914373397827},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.397377610206604}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-322-83091-3_4","doi":"https://doi.org/10.1007/978-3-322-83091-3_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-322-83091-3_4","pdf_url":null,"source":{"id":"https://openalex.org/S4306464255","display_name":"Vieweg+Teubner eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Berechenbarkeit und Unl\u00f6sbarkeit","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4231159373","https://openalex.org/W1493506182","https://openalex.org/W77511476","https://openalex.org/W4254850166","https://openalex.org/W4249369683","https://openalex.org/W2105849624","https://openalex.org/W4234319896","https://openalex.org/W4249850015","https://openalex.org/W4231002609","https://openalex.org/W4300843171"],"abstract_inverted_index":{"1m":[0],"Anschluss":[1],"an":[2],"die":[3,30,34,54,63,127],"Einf\u00fchrung":[4],"des":[5,132],"Begriffs":[6,133],"der":[7,134],"aufz\u00e4blbaren":[8],"(Zahlen-)":[9],"Menge":[10,23],"wurde":[11,52],"deutlich":[12],"gemacht,":[13],"dass":[14,58,82,125],"man":[15],"mit":[16],"einem":[17],"Aufz\u00e4hlungsvetfahren":[18],"f\u00fcr":[19],"eine":[20],"solche":[21,93],"(nichtleere)":[22],"zugleich":[24],"\u00fcber":[25],"ein":[26,117],"Verfahren":[27],"verf\u00fcgt,":[28],"welches":[29],"positiven":[31],"Antworten":[32,43,66],"auf":[33,44],"Zugeh\u00f6rigkeitsfrage":[35],"jeweils":[36],"nach":[37],"endlich":[38],"vielen":[39],"Schritten":[40],"liefert,":[41],"negative":[42],"diese":[45,83],"Frage":[46],"aber":[47],"nicht":[48,69,84],"erbringt.":[49],"Dar\u00fcber":[50],"hinaus":[51],"heuristisch":[53],"Vermutung":[55],"nahe":[56],"gelegt,":[57],"bei":[59],"gewissen":[60],"aufz\u00e4hlbaren":[61],"Mengen":[62,79,94,116],"zugeh\u00f6rigen":[64],"negativen":[65],"wom\u00f6glich":[67],"\u00fcberhaupt":[68],"algorithmisch":[70],"erbracht":[71],"werden":[72],"k\u00f6nnen.":[73],"Dass":[74],"es":[75],"tats\u00e4chlich":[76],"derartige":[77],"aufz\u00e4hlbare":[78,115],"gibt":[80],"und":[81],"entscheidbar":[85],"sind,":[86,99],"wird":[87],"in":[88],"K\u00fcrze":[89],"gezeigt":[90,123],"werden.":[91],"Da":[92],"ja":[95],"jedenfalls":[96],"\u201cpositiv":[97],"kalkulierbar\u201d":[98],"stellen":[100],"sie":[101],"gewisserma\u00dfen":[102],"besonders":[103],"\u201cleichte\u201d":[104],"F\u00e4lle":[105],"von":[106],"algorithmischer":[107],"Unl\u00f6sbarkeit":[108],"dar.":[109],"Schon":[110],"aus":[111],"diesem":[112],"Grund":[113],"verdienen":[114],"besonderes":[118],"Interesse.":[119],"Zun\u00e4chst":[120],"soll":[121],"jedoch":[122],"werden,":[124],"sich":[126],"partiell-rekursiven":[128],"Funktionen":[129],"auch":[130],"mithilfe":[131],"Aufz\u00e4hlbarkeit":[135],"kennzeichnen":[136],"lassen.":[137]},"counts_by_year":[],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2022-05-12T00:00:00"}