{"id":"https://openalex.org/W3117330206","doi":"https://doi.org/10.1093/logcom/exaa065","title":"Lifting propositional proof compression algorithms to first-order logic","display_name":"Lifting propositional proof compression algorithms to first-order logic","publication_year":2020,"publication_date":"2020-11-20","ids":{"openalex":"https://openalex.org/W3117330206","doi":"https://doi.org/10.1093/logcom/exaa065","mag":"3117330206"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exaa065","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaa065","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010036458","display_name":"Jan Gorzny","orcid":"https://orcid.org/0000-0003-1435-8508"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Jan Gorzny","raw_affiliation_strings":["School of Computer Science, University of Waterloo, Waterloo N2L 3G1, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, University of Waterloo, Waterloo N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054486507","display_name":"Ezequiel Postan","orcid":null},"institutions":[{"id":"https://openalex.org/I4141589","display_name":"National University of Rosario","ror":"https://ror.org/02tphfq59","country_code":"AR","type":"education","lineage":["https://openalex.org/I4141589"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Ezequiel Postan","raw_affiliation_strings":["Universidad Nacional de Rosario, Av. Pellegrini 250, S2000BTP Rosario, Santa Fe, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Nacional de Rosario, Av. Pellegrini 250, S2000BTP Rosario, Santa Fe, Argentina","institution_ids":["https://openalex.org/I4141589"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019840140","display_name":"Bruno Woltzenlogel Paleo","orcid":"https://orcid.org/0000-0002-4087-3856"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Bruno Woltzenlogel Paleo","raw_affiliation_strings":["Faculty of Informatics, Vienna University of Technology, Vienna 1040, Austria and College of Engineering and Computer Science, Australian National University, Canberra ACT 0200, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, Vienna University of Technology, Vienna 1040, Austria and College of Engineering and Computer Science, Australian National University, Canberra ACT 0200, Australia","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010036458"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1853686,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"8","first_page":"1903","last_page":"1932"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.9894000291824341,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9894000291824341,"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/T10181","display_name":"Natural Language Processing Techniques","score":0.9829000234603882,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9810000061988831,"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/mathematical-proof","display_name":"Mathematical proof","score":0.7447187304496765},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.5735307335853577},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.5322197675704956},{"id":"https://openalex.org/keywords/literal","display_name":"Literal (mathematical logic)","score":0.5305250883102417},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.5040284991264343},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.503302276134491},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4891341030597687},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.4712056517601013},{"id":"https://openalex.org/keywords/automated-reasoning","display_name":"Automated reasoning","score":0.46233034133911133},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.4594050943851471},{"id":"https://openalex.org/keywords/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.4471186697483063},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.44035646319389343},{"id":"https://openalex.org/keywords/well-formed-formula","display_name":"Well-formed formula","score":0.42963409423828125},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.42739927768707275},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.42590343952178955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42196327447891235},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.41592225432395935},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.41093379259109497},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.39303961396217346},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3117985725402832},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.28159040212631226},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.24413293600082397},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.10466593503952026},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.07929053902626038}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7447187304496765},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.5735307335853577},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5322197675704956},{"id":"https://openalex.org/C2780882242","wikidata":"https://www.wikidata.org/wiki/Q14235582","display_name":"Literal (mathematical logic)","level":2,"score":0.5305250883102417},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.5040284991264343},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.503302276134491},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4891341030597687},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.4712056517601013},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.46233034133911133},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.4594050943851471},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.4471186697483063},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.44035646319389343},{"id":"https://openalex.org/C191222856","wikidata":"https://www.wikidata.org/wiki/Q655328","display_name":"Well-formed formula","level":5,"score":0.42963409423828125},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.42739927768707275},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.42590343952178955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42196327447891235},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.41592225432395935},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.41093379259109497},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.39303961396217346},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3117985725402832},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28159040212631226},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.24413293600082397},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.10466593503952026},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.07929053902626038},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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":1,"locations":[{"id":"doi:10.1093/logcom/exaa065","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaa065","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W27140037","https://openalex.org/W92083396","https://openalex.org/W104201083","https://openalex.org/W626298811","https://openalex.org/W995310127","https://openalex.org/W1438958698","https://openalex.org/W1506262198","https://openalex.org/W1519551513","https://openalex.org/W1521419290","https://openalex.org/W1556207683","https://openalex.org/W1573992413","https://openalex.org/W1807555267","https://openalex.org/W1999259832","https://openalex.org/W2005599008","https://openalex.org/W2007774300","https://openalex.org/W2036475963","https://openalex.org/W2043314428","https://openalex.org/W2066125705","https://openalex.org/W2071402192","https://openalex.org/W2074793316","https://openalex.org/W2117600025","https://openalex.org/W2133527541","https://openalex.org/W2229132677","https://openalex.org/W2345876752","https://openalex.org/W2481330961","https://openalex.org/W2506212021","https://openalex.org/W2963095307","https://openalex.org/W4253503025","https://openalex.org/W6601095181","https://openalex.org/W6604205315","https://openalex.org/W6625880319","https://openalex.org/W6628105969","https://openalex.org/W6628713321","https://openalex.org/W6630281867","https://openalex.org/W6631821055","https://openalex.org/W6633412918","https://openalex.org/W6635284055","https://openalex.org/W6635300380","https://openalex.org/W6638306832","https://openalex.org/W6638961464","https://openalex.org/W6677606071","https://openalex.org/W6683883850","https://openalex.org/W6737109985","https://openalex.org/W6737756220","https://openalex.org/W6746387035","https://openalex.org/W6750104019","https://openalex.org/W6765280537","https://openalex.org/W6835429620"],"related_works":["https://openalex.org/W4251854500","https://openalex.org/W2081976468","https://openalex.org/W1892325353","https://openalex.org/W2376542614","https://openalex.org/W4248733413","https://openalex.org/W913011239","https://openalex.org/W4295125459","https://openalex.org/W1607926272","https://openalex.org/W20075351","https://openalex.org/W4288356646"],"abstract_inverted_index":{"Abstract":[0],"Proofs":[1,13],"are":[2,28,33,41,101],"a":[3,42,105],"key":[4],"feature":[5],"of":[6,23,45,136,148,156,166,213],"modern":[7],"propositional":[8,49,83,93,167,192],"and":[9,160,205],"first-order":[10,57,72,86,195],"theorem":[11,63],"provers.":[12,64],"generated":[14,60],"by":[15,30,61],"such":[16],"tools":[17],"serve":[18],"as":[19,36,38,133],"explanations":[20,27],"for":[21,48,56],"unsatisfiability":[22],"statements.":[24],"However,":[25],"these":[26,214],"complicated":[29],"proofs":[31,51,59,74,169,202],"which":[32,100,114],"not":[34],"necessarily":[35],"concise":[37],"possible.":[39],"There":[40],"wide":[43],"variety":[44],"compression":[46,54,79],"techniques":[47,55],"resolution":[50,58,96,168,201,204],"but":[52],"fewer":[53],"automated":[62],"This":[65,151],"paper":[66,152],"describes":[67,153],"an":[68,116],"approach":[69,90,110],"to":[70,85,145,194],"compressing":[71],"logic":[73,84,94,193],"based":[75],"on":[76,178],"lifting":[77],"proof":[78],"ideas":[80],"used":[81],"in":[82,124,139],"logic.":[87,196],"The":[88,108,197],"first":[89],"lifted":[91],"from":[92,142,191],"delays":[95],"with":[97,208],"unit":[98],"clauses,":[99],"clauses":[102],"that":[103,127],"have":[104],"single":[106],"literal.":[107],"second":[109],"is":[111,122,216],"partial":[112,171],"regularization,":[113],"removes":[115],"inference":[117,138],"$\\eta":[118,143],"$":[119,144],"when":[120],"it":[121],"redundant":[123],"the":[125,134,146,149,154,157],"sense":[126],"its":[128],"pivot":[129,135],"literal":[130],"already":[131],"occurs":[132],"another":[137],"every":[140],"path":[141],"root":[147],"proof.":[150],"generalization":[155],"algorithms":[158,199],"LowerUnits":[159],"RecyclePivotsWithIntersection":[161],"(Fontaine":[162],"et":[163],"al..":[164],"Compression":[165],"via":[170],"regularization.":[172],"In":[173],"Automated":[174,179],"Deduction\u2014CADE-23\u201423rd":[175],"International":[176],"Conference":[177],"Deduction,":[180],"Wroclaw,":[181],"Poland,":[182],"July":[183],"31\u2013August":[184],"5,":[185],"2011,":[186],"p.":[187],"237--251.":[188],"Springer,":[189],"2011)":[190],"generalized":[198],"compresses":[200],"containing":[203],"factoring":[206],"inferences":[207],"unification.":[209],"An":[210],"empirical":[211],"evaluation":[212],"approaches":[215],"included.":[217]},"counts_by_year":[],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}
