{"id":"https://openalex.org/W2969246315","doi":"https://doi.org/10.1007/978-3-030-29436-6_25","title":"Uniform Substitution at One Fell Swoop","display_name":"Uniform Substitution at One Fell Swoop","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2969246315","doi":"https://doi.org/10.1007/978-3-030-29436-6_25","mag":"2969246315"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-29436-6_25","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-29436-6_25","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-29436-6_25.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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-29436-6_25.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080481427","display_name":"Andr\u00e9 Platzer","orcid":"https://orcid.org/0000-0001-7238-5710"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]},{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE","US"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 Platzer","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, Pittsburgh, USA","Fakult\u00e4t f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080481427"],"corresponding_institution_ids":["https://openalex.org/I62916508","https://openalex.org/I74973139"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":1.6555,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86834311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"425","last_page":"441"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9983999729156494,"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/T10142","display_name":"Formal Methods in Verification","score":0.9980000257492065,"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/T11424","display_name":"Security and Verification in Computing","score":0.9969000220298767,"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/soundness","display_name":"Soundness","score":0.9398577213287354},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.734920084476471},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.619735598564148},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6148480176925659},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5611450672149658},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.49304696917533875},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.47765815258026123},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46050095558166504},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.353148877620697},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2942969799041748},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2799134850502014},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20652592182159424}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.9398577213287354},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.734920084476471},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.619735598564148},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6148480176925659},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5611450672149658},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.49304696917533875},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.47765815258026123},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46050095558166504},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.353148877620697},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2942969799041748},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2799134850502014},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20652592182159424},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-29436-6_25","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-29436-6_25","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-29436-6_25.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:arXiv.org:1902.07230","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.07230","pdf_url":"https://arxiv.org/pdf/1902.07230","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/978-3-030-29436-6_25","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-030-29436-6_25","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-030-29436-6_25.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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2969246315.pdf","grobid_xml":"https://content.openalex.org/works/W2969246315.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W129487540","https://openalex.org/W1550828720","https://openalex.org/W1590463358","https://openalex.org/W1602537577","https://openalex.org/W1918406761","https://openalex.org/W1960494084","https://openalex.org/W1963838064","https://openalex.org/W1996404651","https://openalex.org/W2009464583","https://openalex.org/W2041327863","https://openalex.org/W2041833446","https://openalex.org/W2050799577","https://openalex.org/W2069430084","https://openalex.org/W2116364955","https://openalex.org/W2296642625","https://openalex.org/W2320524668","https://openalex.org/W2336123333","https://openalex.org/W2561211292","https://openalex.org/W2565255124","https://openalex.org/W2568721247","https://openalex.org/W2582211829","https://openalex.org/W2797640789","https://openalex.org/W2969246315","https://openalex.org/W3101115050","https://openalex.org/W3101944344","https://openalex.org/W3125479578","https://openalex.org/W3125808851","https://openalex.org/W4237428230","https://openalex.org/W4239007999","https://openalex.org/W4244726376","https://openalex.org/W4252147174","https://openalex.org/W4252581560"],"related_works":["https://openalex.org/W2950376466","https://openalex.org/W2099495594","https://openalex.org/W4302559785","https://openalex.org/W13634261","https://openalex.org/W4250462479","https://openalex.org/W3163509751","https://openalex.org/W958050847","https://openalex.org/W2147222975","https://openalex.org/W2396405675","https://openalex.org/W175051304"],"abstract_inverted_index":{"Abstract":[0],"Uniform":[1],"substitution":[2,33],"of":[3,67,92],"function,":[4],"predicate,":[5],"program":[6],"or":[7],"game":[8,81],"symbols":[9],"is":[10,46,65],"the":[11,43,54,58],"core":[12],"operation":[13],"in":[14,37,62,71,79],"parsimonious":[15],"provers":[16],"for":[17,96],"hybrid":[18,21,69],"systems":[19],"and":[20,75,90],"games.":[22],"By":[23],"postponing":[24],"soundness-critical":[25],"admissibility":[26],"checks,":[27],"this":[28,63],"paper":[29,64,87],"introduces":[30],"a":[31,38,49],"uniform":[32,94],"mechanism":[34],"that":[35,66],"proceeds":[36],"linear":[39],"pass":[40],"homomorphically":[41],"along":[42],"formula.":[44],"Soundness":[45],"recovered":[47],"using":[48],"simple":[50],"variable":[51],"condition":[52],"at":[53],"replacements":[55],"performed":[56],"by":[57],"substitution.":[59],"The":[60],"setting":[61],"differential":[68,80],"games,":[70],"which":[72],"discrete,":[73],"continuous,":[74],"adversarial":[76],"dynamics":[77],"interact":[78],"logic":[82],"\"Image":[83,97],"missing\"":[84,98],".":[85,99],"This":[86],"proves":[88],"soundness":[89],"completeness":[91],"one-pass":[93],"substitutions":[95]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
