{"id":"https://openalex.org/W2096967940","doi":"https://doi.org/10.1016/s1571-0661(04)80651-0","title":"Combining Non-Stably Infinite Theories","display_name":"Combining Non-Stably Infinite Theories","publication_year":2003,"publication_date":"2003-05-01","ids":{"openalex":"https://openalex.org/W2096967940","doi":"https://doi.org/10.1016/s1571-0661(04)80651-0","mag":"2096967940"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80651-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80651-0","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(04)80651-0","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046830049","display_name":"Cesare Tinelli","orcid":"https://orcid.org/0000-0002-6726-775X"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Cesare Tinelli","raw_affiliation_strings":["Department of Computer Science, University of Iowa, Iowa City, IA 52242","Department of Computer Science, University of Iowa, Iowa City, IA 52242#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Iowa, Iowa City, IA 52242","institution_ids":["https://openalex.org/I126307644"]},{"raw_affiliation_string":"Department of Computer Science, University of Iowa, Iowa City, IA 52242#TAB#","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068925113","display_name":"Calogero G. Zarba","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Calogero G. Zarba","raw_affiliation_strings":["Computer Science Department, Stanford University, Stanford, CA 94305, USA","Computer Science Department, Stanford University, Stanford CA 94305, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Stanford University, Stanford, CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Computer Science Department, Stanford University, Stanford CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046830049","https://openalex.org/A5068925113"],"corresponding_institution_ids":["https://openalex.org/I126307644","https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":5.3186,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.96087444,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"86","issue":"1","first_page":"35","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9944000244140625,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9789999723434448,"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/disjoint-sets","display_name":"Disjoint sets","score":0.6459779143333435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5939099192619324},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.5777261853218079},{"id":"https://openalex.org/keywords/decision-theory","display_name":"Decision theory","score":0.5126165747642517},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.46800342202186584},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3891828656196594},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36709392070770264},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.348810613155365},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33094552159309387},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24001845717430115}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6459779143333435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5939099192619324},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.5777261853218079},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.5126165747642517},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.46800342202186584},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3891828656196594},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36709392070770264},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.348810613155365},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33094552159309387},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24001845717430115},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0661(04)80651-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80651-0","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80651-0","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80651-0","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W124460355","https://openalex.org/W1492562552","https://openalex.org/W1503713831","https://openalex.org/W1505196509","https://openalex.org/W1531082202","https://openalex.org/W1543935311","https://openalex.org/W1556189547","https://openalex.org/W1558557169","https://openalex.org/W1559664284","https://openalex.org/W1583912692","https://openalex.org/W1592963626","https://openalex.org/W1816792955","https://openalex.org/W1830416912","https://openalex.org/W1969777579","https://openalex.org/W1978356133","https://openalex.org/W2000346568","https://openalex.org/W2036915776","https://openalex.org/W2060173806","https://openalex.org/W2072380992","https://openalex.org/W2075268055","https://openalex.org/W2096967940","https://openalex.org/W2107995193","https://openalex.org/W2153131284","https://openalex.org/W2153372389","https://openalex.org/W2164778826","https://openalex.org/W2175599263","https://openalex.org/W2479999086","https://openalex.org/W2481176870","https://openalex.org/W2482394638","https://openalex.org/W2483160171","https://openalex.org/W2493672872","https://openalex.org/W2895500577","https://openalex.org/W6629636155","https://openalex.org/W6632011479","https://openalex.org/W6632558416","https://openalex.org/W6633279174","https://openalex.org/W6633675705","https://openalex.org/W6635319455","https://openalex.org/W6638370795","https://openalex.org/W6638541585"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2012063272","https://openalex.org/W2348092930","https://openalex.org/W2138685729","https://openalex.org/W2062850566","https://openalex.org/W4308716484","https://openalex.org/W2098284475","https://openalex.org/W1558557169"],"abstract_inverted_index":{"The":[0],"Nelson-Oppen":[1],"combination":[2,61],"method":[3,26,39,62],"combines":[4],"decision":[5,16,116],"procedures":[6],"for":[7,18,47,118],"first-order":[8],"theories":[9,31,44,49,90],"over":[10,135],"disjoint":[11],"signatures":[12],"into":[13],"a":[14,59,84,125],"single":[15],"procedure":[17,117],"the":[19,25,29,38,78,92,96,102,119],"union":[20],"theory.":[21,86],"To":[22],"be":[23,32,130],"correct,":[24],"requires":[27],"that":[28,63,68,77,114],"component":[30],"stably":[33,71],"infinite.":[34],"This":[35],"restriction":[36],"makes":[37],"inapplicable":[40],"to":[41,132],"many":[42],"interesting":[43,108],"such":[45],"as,":[46],"instance,":[48],"having":[50],"only":[51],"finite":[52],"models.":[53],"In":[54],"this":[55],"paper":[56],"we":[57,82],"provide":[58],"new":[60],"can":[64,128],"combine":[65],"any":[66,115],"theory":[67,93,97,103],"is":[69,80,113],"not":[70],"infinite":[72],"with":[73],"another":[74],"theory,":[75],"provided":[76],"latter":[79],"what":[81],"call":[83],"shiny":[85,89],"Examples":[87],"of":[88,94,98,104,110,121],"include":[91],"equality,":[95],"partial":[99],"orders,":[100],"and":[101],"total":[105],"orders.":[106],"An":[107],"consequence":[109],"our":[111],"results":[112],"satisfiability":[120],"quantifier-free":[122],"\u03a3-formulae":[123],"in":[124],"\u03a3-theory":[126],"T":[127],"always":[129],"extended":[131],"accept":[133],"inputs":[134],"an":[136],"arbitrary":[137],"signature":[138],"\u03a9":[139],"\u2287":[140],"\u03a3.":[141]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
