{"id":"https://openalex.org/W2011446535","doi":"https://doi.org/10.1002/malq.19970430109","title":"Characterization of the Relations in Grzegorczyk's Hierarchy Revisited","display_name":"Characterization of the Relations in Grzegorczyk's Hierarchy Revisited","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2011446535","doi":"https://doi.org/10.1002/malq.19970430109","mag":"2011446535"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19970430109","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430109","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["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/A5004287142","display_name":"Jean\u2010Sylvestre Gakwaya","orcid":null},"institutions":[{"id":"https://openalex.org/I130929987","display_name":"University of Mons","ror":"https://ror.org/02qnnz951","country_code":"BE","type":"education","lineage":["https://openalex.org/I130929987"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Jean\u2010Sylvestre Gakwaya","raw_affiliation_strings":["Institut de Mathe\u0301matique et d'Informatique, Universite\u0301 de Mons-Hainaut, 15, Avenue Maistriau, 7000 Mons, Belgique","Institut de Math\u00e9matique et d'Informatique, Universit\u00e9 de Mons\u2010Hainaut, 15, Avenue Maistriau, 7000 Mons, Belgique"],"affiliations":[{"raw_affiliation_string":"Institut de Mathe\u0301matique et d'Informatique, Universite\u0301 de Mons-Hainaut, 15, Avenue Maistriau, 7000 Mons, Belgique","institution_ids":["https://openalex.org/I130929987"]},{"raw_affiliation_string":"Institut de Math\u00e9matique et d'Informatique, Universit\u00e9 de Mons\u2010Hainaut, 15, Avenue Maistriau, 7000 Mons, Belgique","institution_ids":["https://openalex.org/I130929987"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004287142"],"corresponding_institution_ids":["https://openalex.org/I130929987"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14107449,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"1","first_page":"73","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9575999975204468,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9575999975204468,"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/mathematics","display_name":"Mathematics","score":0.6921374201774597},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5954521298408508},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5167350172996521},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3344058096408844},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.061146318912506104}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6921374201774597},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5954521298408508},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5167350172996521},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3344058096408844},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.061146318912506104},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19970430109","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19970430109","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["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":[{"id":"https://metadata.un.org/sdg/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W615345195","https://openalex.org/W1579247651","https://openalex.org/W1999590237","https://openalex.org/W2023166738"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"his":[2],"1953's":[3],"paper,":[4],"Grzegorczyk":[5],"proved":[6],"that":[7],"a":[8,23],"certain":[9],"kind":[10],"of":[11,14,26],"relation":[12],"classes":[13],"Grzegorczyk's":[15],"hierarchy":[16],"could":[17],"be":[18],"characterized":[19],"inductively.":[20],"We":[21],"give":[22],"simpler":[24],"version":[25],"this":[27],"characterization.":[28]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
