{"id":"https://openalex.org/W2003710519","doi":"https://doi.org/10.1002/malq.19920380106","title":"ITERATIONS OF SATISFACTION CLASSES AND MODELS OF PEANO ARITHMETIC","display_name":"ITERATIONS OF SATISFACTION CLASSES AND MODELS OF PEANO ARITHMETIC","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W2003710519","doi":"https://doi.org/10.1002/malq.19920380106","mag":"2003710519"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19920380106","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19920380106","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/A5086850776","display_name":"Roman Murawski","orcid":"https://orcid.org/0000-0002-2392-4869"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I59411706","display_name":"Adam Mickiewicz University in Pozna\u0144","ror":"https://ror.org/04g6bbq64","country_code":"PL","type":"education","lineage":["https://openalex.org/I59411706"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Roman Murawski","raw_affiliation_strings":["Institute of Mathematics Adam Mickiewicz University ul. Matejki 48/49 60-769 Poznan\u0301 Poland","Institute of Mathematics, Adam Mickiewicz University, ul. Matejki 48/49, 60\u2013769 Pozna\u0144, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics Adam Mickiewicz University ul. Matejki 48/49 60-769 Poznan\u0301 Poland","institution_ids":["https://openalex.org/I59411706","https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Institute of Mathematics, Adam Mickiewicz University, ul. Matejki 48/49, 60\u2013769 Pozna\u0144, Poland","institution_ids":["https://openalex.org/I59411706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086850776"],"corresponding_institution_ids":["https://openalex.org/I4210137370","https://openalex.org/I59411706"],"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":0.12796209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"1","first_page":"59","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9876999855041504,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9510999917984009,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.930137574672699},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.7074676156044006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48849427700042725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3782161772251129},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2594463527202606}],"concepts":[{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.930137574672699},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.7074676156044006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48849427700042725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3782161772251129},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2594463527202606}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19920380106","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19920380106","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W79809236","https://openalex.org/W83512845","https://openalex.org/W144045069","https://openalex.org/W297809390","https://openalex.org/W951942238","https://openalex.org/W1008748165","https://openalex.org/W1549118152","https://openalex.org/W1988863058","https://openalex.org/W1992704116","https://openalex.org/W2007013812","https://openalex.org/W2058882547","https://openalex.org/W2059930981","https://openalex.org/W2068218054","https://openalex.org/W2069613809","https://openalex.org/W2114515271","https://openalex.org/W2188630266","https://openalex.org/W4240595892","https://openalex.org/W4250353949","https://openalex.org/W6647696822","https://openalex.org/W6665424814"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W171744056","https://openalex.org/W1577881803","https://openalex.org/W2115117868","https://openalex.org/W3136886172","https://openalex.org/W4301007153","https://openalex.org/W2303556051","https://openalex.org/W968826431","https://openalex.org/W2085902896"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2],"iterations":[3],"of":[4,13,15,20],"satisfaction":[5],"classes":[6],"and":[7],"apply":[8],"them":[9],"to":[10,18],"construct":[11],"expansions":[12],"models":[14,19],"Peano":[16],"arithmetic":[17],"A":[21],"|\u0394":[22],"+\u2211":[23],"\u2010AC.":[24],"1991":[25],"MSC:":[26],"03F35,":[27],"03C62.":[28]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}