{"id":"https://openalex.org/W2788272802","doi":"https://doi.org/10.23638/lmcs-15(1:4)2019","title":"A Finite-Model-Theoretic View on Propositional Proof Complexity","display_name":"A Finite-Model-Theoretic View on Propositional Proof Complexity","publication_year":2022,"publication_date":"2022-06-14","ids":{"openalex":"https://openalex.org/W2788272802","doi":"https://doi.org/10.23638/lmcs-15(1:4)2019","mag":"2788272802"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-15(1:4)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(1:4)2019","pdf_url":"https://lmcs.episciences.org/5119/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/5119/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109317643","display_name":"Erich Gr\u00e4del","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Erich Gr\u00e4del","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073893026","display_name":"Martin Grohe","orcid":"https://orcid.org/0000-0002-0292-9142"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Grohe","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041562636","display_name":"Benedikt Pago","orcid":"https://orcid.org/0000-0001-6377-1230"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Benedikt Pago","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5028116098","display_name":"Wied Pakusa","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wied Pakusa","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109317643"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3016,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.55092239,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"Volume 15, Issue 1","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9984999895095825,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9984999895095825,"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/T10374","display_name":"Advanced Graph Theory Research","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/T10142","display_name":"Formal Methods in Verification","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7239590883255005},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7060714960098267},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5897784233093262},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.587432861328125},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5017445087432861},{"id":"https://openalex.org/keywords/rational-number","display_name":"Rational number","score":0.4705999791622162},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.45860040187835693},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.45400145649909973},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4152480363845825},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.4142373502254486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16365522146224976},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.14220881462097168},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.09381905198097229},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07778874039649963},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.07100623846054077}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7239590883255005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7060714960098267},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5897784233093262},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.587432861328125},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5017445087432861},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.4705999791622162},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.45860040187835693},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.45400145649909973},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4152480363845825},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.4142373502254486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16365522146224976},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.14220881462097168},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.09381905198097229},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07778874039649963},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.07100623846054077},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.23638/lmcs-15(1:4)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(1:4)2019","pdf_url":"https://lmcs.episciences.org/5119/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1802.09377","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.09377","pdf_url":"https://arxiv.org/pdf/1802.09377","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:publications.rwth-aachen.de:718317","is_oa":false,"landing_page_url":"http://publications.rwth-aachen.de/search?p=id:%22RWTH-2018-221672%22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401033","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"53 Seiten (2018).","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:www.repository.cam.ac.uk:1810/385094","is_oa":true,"landing_page_url":"https://www.repository.cam.ac.uk/handle/1810/385094","pdf_url":null,"source":{"id":"https://openalex.org/S4306401777","display_name":"Apollo (University of Cambridge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I241749","host_organization_name":"University of Cambridge","host_organization_lineage":["https://openalex.org/I241749"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.1802.09377","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1802.09377","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.23638/lmcs-15(1:4)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(1:4)2019","pdf_url":"https://lmcs.episciences.org/5119/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2788272802.pdf","grobid_xml":"https://content.openalex.org/works/W2788272802.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W90768366","https://openalex.org/W149380172","https://openalex.org/W1489366126","https://openalex.org/W1567053297","https://openalex.org/W1580847017","https://openalex.org/W1761552948","https://openalex.org/W1996660205","https://openalex.org/W2018047324","https://openalex.org/W2020154454","https://openalex.org/W2056382067","https://openalex.org/W2121755852","https://openalex.org/W2129413084","https://openalex.org/W2149067455","https://openalex.org/W2150339067","https://openalex.org/W2156395711","https://openalex.org/W2171491461","https://openalex.org/W2296150830","https://openalex.org/W2551205082","https://openalex.org/W2724794807","https://openalex.org/W2739056890","https://openalex.org/W2741628291","https://openalex.org/W2782001694","https://openalex.org/W2962785950","https://openalex.org/W2963584216","https://openalex.org/W2963768895","https://openalex.org/W2963840360","https://openalex.org/W2964147799"],"related_works":["https://openalex.org/W2990043628","https://openalex.org/W1987118140","https://openalex.org/W1512746455","https://openalex.org/W949976107","https://openalex.org/W2788816388","https://openalex.org/W1834198313","https://openalex.org/W2119215098","https://openalex.org/W1535347767","https://openalex.org/W2041191508","https://openalex.org/W2045432969"],"abstract_inverted_index":{"We":[0,105],"establish":[1,174],"new,":[2],"and":[3,11,32,84,168,188],"surprisingly":[4],"tight,":[5],"connections":[6,165],"between":[7,166],"propositional":[8,23],"proof":[9,24,169],"complexity":[10,58],"finite":[12,191],"model":[13],"theory.":[14,59],"Specifically,":[15],"we":[16,122,132],"show":[17],"that":[18,51,64,76,85,136],"the":[19,33,68,86,93,97,108,113,124,127,137,182,186,199],"power":[20,71,159],"of":[21,36,48,53,126,157,198],"several":[22],"systems,":[25],"such":[26],"as":[27,72,144,146],"Horn":[28,65],"resolution,":[29,31],"bounded-width":[30,77],"monomial":[34],"calculus":[35,88,140,184],"bounded":[37,90,147],"degree,":[38],"can":[39,133],"be":[40],"characterised":[41],"in":[42,56,100],"a":[43,153,195],"precise":[44,154],"sense":[45],"by":[46],"variants":[47],"fixed-point":[49,74,82,101,117],"logics":[50,167],"are":[52,63],"fundamental":[54],"importance":[55],"descriptive":[57],"Our":[60],"main":[61],"results":[62],"resolution":[66,78],"has":[67],"same":[69],"expressive":[70],"least":[73,81],"logic,":[75,83,151],"captures":[79,116],"existential":[80],"polynomial":[87,110,139,183],"with":[89,103,119],"degree":[91],"over":[92,185,190],"rationals":[94,187],"solves":[95],"precisely":[96],"problems":[98],"definable":[99],"logic":[102,118],"counting.":[104],"also":[106,189],"study":[107],"bounded-degree":[109,138],"calculus.":[111],"Over":[112],"rationals,":[114],"it":[115],"counting":[120,150],"if":[121],"restrict":[123],"bit-complexity":[125],"coefficients.":[128],"For":[129],"unrestricted":[130],"coefficients,":[131],"only":[134],"say":[135],"is":[141,194],"at":[142],"most":[143],"powerful":[145],"variable":[148],"infinitary":[149],"but":[152],"logical":[155],"characterisation":[156],"its":[158],"remains":[160],"an":[161],"open":[162],"problem.":[163],"These":[164],"systems":[170],"allow":[171],"us":[172],"to":[173],"finite-model-theoretic":[175],"tools":[176],"for":[177,181],"proving":[178],"lower":[179],"bounds":[180],"fields.":[192],"This":[193],"corrected":[196],"version":[197],"paper":[200],"(arXiv:1802.09377)":[201],"published":[202],"originally":[203],"on":[204],"January":[205],"23,":[206],"2019.":[207]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
