{"id":"https://openalex.org/W4414570796","doi":"https://doi.org/10.1007/978-3-032-06085-3_14","title":"Interpolation for\u00a0Converse PDL","display_name":"Interpolation for\u00a0Converse PDL","publication_year":2025,"publication_date":"2025-09-25","ids":{"openalex":"https://openalex.org/W4414570796","doi":"https://doi.org/10.1007/978-3-032-06085-3_14"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-06085-3_14","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-06085-3_14","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_14.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":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_14.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074009221","display_name":"Johannes Kloibhofer","orcid":"https://orcid.org/0009-0003-2471-9407"},"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":true,"raw_author_name":"Johannes Kloibhofer","raw_affiliation_strings":["ILLC, University of Amsterdam, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"ILLC, University of Amsterdam, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119750146","display_name":"Valentina Trucco Dalmas","orcid":null},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Valentina Trucco Dalmas","raw_affiliation_strings":["University of Groningen, Groningen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105920523","display_name":"Yde Venema","orcid":null},"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":"Yde Venema","raw_affiliation_strings":["ILLC, University of Amsterdam, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"ILLC, University of Amsterdam, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074009221"],"corresponding_institution_ids":["https://openalex.org/I887064364"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":6.3482,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.96746757,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"258","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9979000091552734,"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/T10142","display_name":"Formal Methods in Verification","score":0.9979000091552734,"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.982699990272522,"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"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.979200005531311,"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/converse","display_name":"Converse","score":0.9287999868392944},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.6711000204086304},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.6039999723434448},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5667999982833862},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.5293999910354614},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.4650999903678894},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.4586000144481659},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4399999976158142}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.9287999868392944},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.6711000204086304},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.6039999723434448},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5667999982833862},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.5293999910354614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5060999989509583},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.4650999903678894},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.4586000144481659},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4399999976158142},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4318000078201294},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4277999997138977},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.426800012588501},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39640000462532043},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38089999556541443},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.3783999979496002},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32010000944137573},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.31200000643730164},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.31189998984336853},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.2985000014305115},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.27549999952316284},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.26159998774528503}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-06085-3_14","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-06085-3_14","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_14.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"}],"best_oa_location":{"id":"doi:10.1007/978-3-032-06085-3_14","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-06085-3_14","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-06085-3_14.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":[{"id":"https://openalex.org/G1515917476","display_name":null,"funder_award_id":"617.001.857","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414570796.pdf"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W23233230","https://openalex.org/W195752099","https://openalex.org/W1507873625","https://openalex.org/W1560681040","https://openalex.org/W1563967429","https://openalex.org/W1987019087","https://openalex.org/W1997716585","https://openalex.org/W2057205217","https://openalex.org/W2069709605","https://openalex.org/W2112476716","https://openalex.org/W2154173307","https://openalex.org/W3098273402","https://openalex.org/W3207383046","https://openalex.org/W4214949915","https://openalex.org/W4226087286"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Converse":[1,25],"$$\\textsf{PDL}$$":[2,26],"<mml:math":[3,27],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[4,28],"<mml:mi>PDL</mml:mi>":[5,29],"</mml:math>":[6,30],"is":[7,61],"the":[8,32,51,56],"extension":[9],"of":[10,66],"propositional":[11,44],"dynamic":[12],"logic":[13],"with":[14,37],"a":[15,47,75,94],"converse":[16],"operation":[17],"on":[18,63],"programs.":[19],"Our":[20,58],"main":[21],"result":[22],"states":[23],"that":[24],"enjoys":[31],"(local)":[33],"Craig":[34],"Interpolation":[35],"Property,":[36],"respect":[38],"to":[39],"both":[40],"atomic":[41],"programs":[42],"and":[43,77,92],"variables.":[45],"As":[46],"corollary":[48],"we":[49,73],"establish":[50],"Beth":[52],"Definability":[53],"Property":[54],"for":[55,82,97],"logic.":[57,84],"interpolation":[59],"proof":[60],"based":[62],"an":[64,88],"adaptation":[65],"Maehara\u2019s":[67],"proof-theoretic":[68],"method.":[69],"For":[70],"this":[71,83],"purpose":[72],"introduce":[74],"sound":[76],"complete":[78],"cyclic":[79],"sequent":[80],"system":[81],"This":[85],"calculus":[86],"features":[87],"analytic":[89],"cut":[90],"rule":[91],"uses":[93],"focus":[95],"mechanism":[96],"recognising":[98],"successful":[99],"cycles.":[100]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}