{"id":"https://openalex.org/W4394002259","doi":"https://doi.org/10.1007/978-3-031-57231-9_7","title":"Craig Interpolation for Decidable First-Order Fragments","display_name":"Craig Interpolation for Decidable First-Order Fragments","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4394002259","doi":"https://doi.org/10.1007/978-3-031-57231-9_7"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-57231-9_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-57231-9_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-57231-9_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-57231-9_7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080220262","display_name":"Balder ten Cate","orcid":"https://orcid.org/0000-0002-2538-5846"},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Balder ten Cate","raw_affiliation_strings":["ILLC, University of Amsterdam, Amsterdam, 1098 XH, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-2538-5846","affiliations":[{"raw_affiliation_string":"ILLC, University of Amsterdam, Amsterdam, 1098 XH, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010003349","display_name":"Jesse Comer","orcid":"https://orcid.org/0009-0006-9734-3457"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jesse Comer","raw_affiliation_strings":["University of Pennsylvania, Philadelphia, PA, 19104, USA"],"raw_orcid":"https://orcid.org/0009-0006-9734-3457","affiliations":[{"raw_affiliation_string":"University of Pennsylvania, Philadelphia, PA, 19104, USA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010003349"],"corresponding_institution_ids":["https://openalex.org/I79576946"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":null,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"137","last_page":"159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9976999759674072,"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":0.9976999759674072,"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":0.9973999857902527,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9961000084877014,"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/decidability","display_name":"Decidability","score":0.8496676683425903},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.809891402721405},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6301300525665283},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49952220916748047},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47542598843574524},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.40607166290283203},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.34105104207992554},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3399586081504822},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.324069082736969},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.04622173309326172}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8496676683425903},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.809891402721405},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6301300525665283},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49952220916748047},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47542598843574524},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.40607166290283203},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.34105104207992554},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3399586081504822},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.324069082736969},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.04622173309326172},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-031-57231-9_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-57231-9_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-57231-9_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/fd79b793-a98e-41d5-9330-1688660c2fac","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/craig-interpolation-for-decidable-firstorder-fragments(fd79b793-a98e-41d5-9330-1688660c2fac).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-57231-9_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-57231-9_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-57231-9_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394002259.pdf"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W114225339","https://openalex.org/W144477472","https://openalex.org/W164764666","https://openalex.org/W195752099","https://openalex.org/W251225716","https://openalex.org/W1483892218","https://openalex.org/W1484845602","https://openalex.org/W1501618356","https://openalex.org/W1503647529","https://openalex.org/W1536964483","https://openalex.org/W1549008998","https://openalex.org/W1560984185","https://openalex.org/W1600958215","https://openalex.org/W1975054948","https://openalex.org/W1976645152","https://openalex.org/W1991981864","https://openalex.org/W1998141358","https://openalex.org/W2039657446","https://openalex.org/W2044340169","https://openalex.org/W2044898496","https://openalex.org/W2074576299","https://openalex.org/W2086470346","https://openalex.org/W2088302563","https://openalex.org/W2096617793","https://openalex.org/W2110004112","https://openalex.org/W2114633883","https://openalex.org/W2114875992","https://openalex.org/W2115454923","https://openalex.org/W2149736013","https://openalex.org/W2153924610","https://openalex.org/W2154199572","https://openalex.org/W2254540169","https://openalex.org/W2263859483","https://openalex.org/W2270291724","https://openalex.org/W2341631904","https://openalex.org/W2555906575","https://openalex.org/W2803502305","https://openalex.org/W2971991850","https://openalex.org/W3037251419","https://openalex.org/W3040652710","https://openalex.org/W3105464320","https://openalex.org/W3162533888","https://openalex.org/W3174950119","https://openalex.org/W3197582276","https://openalex.org/W4246119904","https://openalex.org/W4283451021","https://openalex.org/W4297161157","https://openalex.org/W4298235694","https://openalex.org/W4301040220","https://openalex.org/W4396843078"],"related_works":["https://openalex.org/W2972379433","https://openalex.org/W2331020993","https://openalex.org/W4383764068","https://openalex.org/W1481826604","https://openalex.org/W1797057780","https://openalex.org/W1501430220","https://openalex.org/W3187762542","https://openalex.org/W2583753471","https://openalex.org/W1505636692","https://openalex.org/W1892058059"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2,27,63],"that":[3,28,64],"the":[4,13,17,29,33,49,79],"guarded-negation":[5],"fragment":[6,19,35,51,81],"(GNFO)":[7],"is,":[8],"in":[9],"a":[10],"precise":[11],"sense,":[12],"smallest":[14,30],"extension":[15,31],"of":[16,32,48,67,78],"guarded":[18],"(GFO)":[20],"with":[21,53,83],"Craig":[22,54,84],"interpolation.":[23],"In":[24],"contrast,":[25],"we":[26,61],"two-variable":[34],"(":[36],"$$\\textrm{FO}^2":[37,68],"$$":[38,69],"<mml:math":[39,70],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[40,71],"<mml:msup>":[41,72],"<mml:mtext>FO</mml:mtext>":[42,73],"<mml:mn>2</mml:mn>":[43,74],"</mml:msup>":[44,75],"</mml:math>":[45,76],"),":[46],"and":[47,77],"forward":[50],"(FF)":[52],"interpolation,":[55],"is":[56],"full":[57],"first-order":[58],"logic.":[59],"Similarly,":[60],"also":[62],"all":[65],"extensions":[66],"fluted":[80],"(FL)":[82],"interpolation":[85],"are":[86],"undecidable.":[87]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-19T07:52:34.831488","created_date":"2025-10-10T00:00:00"}