{"id":"https://openalex.org/W2167035213","doi":"https://doi.org/10.1093/logcom/exu030","title":"A multi-focused proof system isomorphic to expansion proofs","display_name":"A multi-focused proof system isomorphic to expansion proofs","publication_year":2014,"publication_date":"2014-06-06","ids":{"openalex":"https://openalex.org/W2167035213","doi":"https://doi.org/10.1093/logcom/exu030","mag":"2167035213"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exu030","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exu030","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":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-00937056","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056733524","display_name":"Kaustuv Chaudhuri","orcid":"https://orcid.org/0000-0003-2938-547X"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Kaustuv Chaudhuri","raw_affiliation_strings":["INRIA, 1 rue Honor\u00e9 d'Estienne d'Orves, 91120 Palaiseau, France","Proof search and reasoning with logic specifications"],"affiliations":[{"raw_affiliation_string":"INRIA, 1 rue Honor\u00e9 d'Estienne d'Orves, 91120 Palaiseau, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Proof search and reasoning with logic specifications","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058192101","display_name":"Stefan Hetzl","orcid":"https://orcid.org/0000-0002-6461-5982"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Stefan Hetzl","raw_affiliation_strings":["Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstra\u00dfe 8-10, 1040 Vienna, Austria","Proof search and reasoning with logic specifications"],"affiliations":[{"raw_affiliation_string":"Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstra\u00dfe 8-10, 1040 Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Proof search and reasoning with logic specifications","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018394339","display_name":"Dale Miller","orcid":"https://orcid.org/0000-0003-0274-4954"},"institutions":[{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Dale Miller","raw_affiliation_strings":["INRIA and LIX/\u00c9cole Polytechnique, 1 rue Honor\u00e9 d'Estienne d'Orves, 91120 Palaiseau, France","Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]","Proof search and reasoning with logic specifications"],"affiliations":[{"raw_affiliation_string":"INRIA and LIX/\u00c9cole Polytechnique, 1 rue Honor\u00e9 d'Estienne d'Orves, 91120 Palaiseau, France","institution_ids":[]},{"raw_affiliation_string":"Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]","institution_ids":["https://openalex.org/I4210139461"]},{"raw_affiliation_string":"Proof search and reasoning with logic specifications","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056733524"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.8468,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8240622,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"26","issue":"2","first_page":"577","last_page":"603"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.8938000202178955,"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":0.8938000202178955,"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":0.04639999940991402,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.009200000204145908,"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":0.8967456221580505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4456416964530945},{"id":"https://openalex.org/keywords/proof-of-concept","display_name":"Proof of concept","score":0.4401877224445343},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4305095076560974},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4182148873806},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17437705397605896},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.10306000709533691},{"id":"https://openalex.org/keywords/orthodontics","display_name":"Orthodontics","score":0.069146066904068}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8967456221580505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4456416964530945},{"id":"https://openalex.org/C124978682","wikidata":"https://www.wikidata.org/wiki/Q1201019","display_name":"Proof of concept","level":2,"score":0.4401877224445343},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4305095076560974},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4182148873806},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17437705397605896},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.10306000709533691},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.069146066904068},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1093/logcom/exu030","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exu030","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.431.1584","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.431.1584","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lix.polytechnique.fr/Labo/Dale.Miller/papers/exptrees-mmf.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.696.3329","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.696.3329","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.inria.fr/hal-00937056/PDF/lkfexp.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00937056v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00937056","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Logic and Computation, 2014","raw_type":"Journal articles"},{"id":"pmh:oai:open-archive.highwire.org:logcom:26/2/577","is_oa":false,"landing_page_url":"http://logcom.oxfordjournals.org/cgi/content/short/26/2/577","pdf_url":null,"source":{"id":"https://openalex.org/S4406923041","display_name":"HighWire Press Open Archive","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"TEXT"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00937056v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00937056","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Logic and Computation, 2014","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W431801255","https://openalex.org/W1482532876","https://openalex.org/W1484778177","https://openalex.org/W1534718845","https://openalex.org/W1541328677","https://openalex.org/W1576273348","https://openalex.org/W1807903125","https://openalex.org/W1844702250","https://openalex.org/W1852594029","https://openalex.org/W1911287697","https://openalex.org/W1985185257","https://openalex.org/W2004965270","https://openalex.org/W2010939537","https://openalex.org/W2015626965","https://openalex.org/W2018221833","https://openalex.org/W2032033497","https://openalex.org/W2049362364","https://openalex.org/W2070324762","https://openalex.org/W2070813818","https://openalex.org/W2084443499","https://openalex.org/W2093111544","https://openalex.org/W2095436832","https://openalex.org/W2102246643","https://openalex.org/W2106988030","https://openalex.org/W2111687337","https://openalex.org/W2129156376","https://openalex.org/W2141978322","https://openalex.org/W2143374829","https://openalex.org/W2148791671","https://openalex.org/W2152266130","https://openalex.org/W2164691248","https://openalex.org/W2165898024","https://openalex.org/W2167350042","https://openalex.org/W2204729546","https://openalex.org/W2240567774","https://openalex.org/W2289826999","https://openalex.org/W2533034710","https://openalex.org/W2911379300","https://openalex.org/W2911865844","https://openalex.org/W3023903997","https://openalex.org/W3121375309","https://openalex.org/W3135320517","https://openalex.org/W4210927669","https://openalex.org/W6628861041","https://openalex.org/W6637405268","https://openalex.org/W6690123231"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2808944898","https://openalex.org/W3036179535","https://openalex.org/W3037184231","https://openalex.org/W1598473030","https://openalex.org/W4309397387","https://openalex.org/W2953172612","https://openalex.org/W4385763783","https://openalex.org/W2386725749"],"abstract_inverted_index":{"The":[0,74,151],"sequent":[1,35,55,75,109,142,163,176,206,245],"calculus":[2,76,110,164,246],"is":[3,157],"often":[4],"criticized":[5],"for":[6,147,168],"requiring":[7],"proofs":[8,36,56,84,188,210,215],"to":[9,66,137,213,232,237],"contain":[10],"large":[11],"amounts":[12],"of":[13,22,46,54,81,127,154,160,223,241],"low-level":[14,171],"syntactic":[15,97],"details":[16,172],"that":[17,60,85,114,189],"can":[18,37],"obscure":[19],"the":[20,51,90,108,141,158,166,182,185,239],"essence":[21],"a":[23,32,44,79,95,161,203,234],"given":[24],"proof.":[25],"Because":[26],"each":[27],"inference":[28],"rule":[29],"introduces":[30],"only":[31],"single":[33],"connective,":[34],"separate":[38],"closely":[39],"related":[40],"steps\u2014such":[41],"as":[42,165],"instantiating":[43],"block":[45],"quantifiers\u2014by":[47],"irrelevant":[48],"noise.":[49],"Moreover,":[50,198],"sequential":[52],"nature":[53],"forces":[57],"proof":[58,112,207],"steps":[59],"are":[61,115,125,196,211],"syntactically":[62],"non-interfering":[63],"and":[64,122,220],"permutable":[65],"nevertheless":[67],"be":[68,87,233],"written":[69],"in":[70],"some":[71],"arbitrary":[72],"order.":[73],"thus":[77],"lacks":[78],"notion":[80],"canonicity":[82,139],":":[83],"should":[86],"considered":[88],"essentially":[89],"same":[91],"may":[92],"not":[93],"have":[94,105],"common":[96],"form.":[98],"To":[99],"fix":[100],"this":[101],"problem,":[102],"many":[103],"researchers":[104],"proposed":[106],"replacing":[107],"with":[111,202],"structures":[113],"more":[116],"parallel":[117,194,221],"or":[118],"geometric.":[119],"Proof-nets,":[120],"matings":[121],"atomic":[123],"flows":[124],"examples":[126],"such":[128,209],"revolutionary":[129],"formalizms.":[130],"We":[131,178],"propose,":[132],"instead,":[133],"an":[134],"evolutionary":[135],"approach":[136,156],"recover":[138,238],"within":[140,244],"calculus,":[143],"which":[144],"we":[145,200],"illustrate":[146],"classical":[148,174,226],"first-order":[149,227],"logic.":[150,228],"essential":[152],"element":[153],"our":[155],"use":[159],"multi-focused":[162,183,187],"means":[167],"abstracting":[169],"away":[170],"from":[173,243],"cut-free":[175],"proofs.":[177,247],"show":[179],"that,":[180],"among":[181],"proofs,":[184],"maximally":[186],"collect":[190],"together":[191],"all":[192],"possible":[193],"foci":[195],"canonical.":[197],"if":[199],"start":[201],"certain":[204],"focused":[205],"system,":[208],"isomorphic":[212],"expansion":[214],"\u2014a":[216],"well":[217],"known,":[218],"minimalistic":[219],"generalization":[222],"Herbrand":[224],"disjunctions\u2014for":[225],"This":[229],"technique":[230],"appears":[231],"systematic":[235],"way":[236],"\u2018essence":[240],"proof\u2019":[242]},"counts_by_year":[{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-03T08:47:05.690250","created_date":"2025-10-10T00:00:00"}