{"id":"https://openalex.org/W2128959251","doi":"https://doi.org/10.1145/1929954.1929959","title":"A calculus of multiary sequent terms","display_name":"A calculus of multiary sequent terms","publication_year":2011,"publication_date":"2011-05-01","ids":{"openalex":"https://openalex.org/W2128959251","doi":"https://doi.org/10.1145/1929954.1929959","mag":"2128959251"},"language":"en","primary_location":{"id":"doi:10.1145/1929954.1929959","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1929954.1929959","pdf_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F1929954.1929959&file=a22-espirito-apndx.pdf","source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F1929954.1929959&file=a22-espirito-apndx.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055205012","display_name":"Jos\u00e9 Esp\u00edrito Santo","orcid":"https://orcid.org/0000-0002-6348-5653"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 Esp\u00edrito Santo","raw_affiliation_strings":["Universidade do Minho, Braga, Portugal","[Universidade do Minho, Braga, Portugal]"],"affiliations":[{"raw_affiliation_string":"Universidade do Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]},{"raw_affiliation_string":"[Universidade do Minho, Braga, Portugal]","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063925293","display_name":"Lu\u00eds Pinto","orcid":"https://orcid.org/0000-0003-1338-2688"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Lu\u00eds Pinto","raw_affiliation_strings":["Universidade do Minho, Braga, Portugal","[Universidade do Minho, Braga, Portugal]"],"affiliations":[{"raw_affiliation_string":"Universidade do Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]},{"raw_affiliation_string":"[Universidade do Minho, Braga, Portugal]","institution_ids":["https://openalex.org/I99682543"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055205012"],"corresponding_institution_ids":["https://openalex.org/I99682543"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.12816476,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"12","issue":"3","first_page":"1","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9973999857902527,"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":0.995199978351593,"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/sequent-calculus","display_name":"Sequent calculus","score":0.9318199157714844},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.9122562408447266},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.8902935981750488},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.8848121166229248},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6589067578315735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6050339937210083},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.5287613272666931},{"id":"https://openalex.org/keywords/curry\u2013howard-correspondence","display_name":"Curry\u2013Howard correspondence","score":0.49780893325805664},{"id":"https://openalex.org/keywords/structural-proof-theory","display_name":"Structural proof theory","score":0.43968063592910767},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3637062907218933},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.267598032951355},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.25374650955200195},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.1969543993473053},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1883290708065033}],"concepts":[{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.9318199157714844},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.9122562408447266},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.8902935981750488},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.8848121166229248},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6589067578315735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6050339937210083},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.5287613272666931},{"id":"https://openalex.org/C85343465","wikidata":"https://www.wikidata.org/wiki/Q975734","display_name":"Curry\u2013Howard correspondence","level":3,"score":0.49780893325805664},{"id":"https://openalex.org/C195653647","wikidata":"https://www.wikidata.org/wiki/Q7625047","display_name":"Structural proof theory","level":4,"score":0.43968063592910767},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3637062907218933},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.267598032951355},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.25374650955200195},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.1969543993473053},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1883290708065033},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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":3,"locations":[{"id":"doi:10.1145/1929954.1929959","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1929954.1929959","pdf_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F1929954.1929959&file=a22-espirito-apndx.pdf","source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/13192","is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/13192","pdf_url":null,"source":{"id":"https://openalex.org/S4306401240","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"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":"","raw_type":"journal article"},{"id":"pmh:oai:repositorium.uminho.pt:1822/13192","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/13192","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1145/1929954.1929959","is_oa":true,"landing_page_url":"https://doi.org/10.1145/1929954.1929959","pdf_url":"https://dl.acm.org/action/downloadSupplement?doi=10.1145%2F1929954.1929959&file=a22-espirito-apndx.pdf","source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2128959251.pdf","grobid_xml":"https://content.openalex.org/works/W2128959251.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1482532876","https://openalex.org/W1487717359","https://openalex.org/W1535521146","https://openalex.org/W1537363172","https://openalex.org/W1563963610","https://openalex.org/W1574493518","https://openalex.org/W1605079617","https://openalex.org/W1608923249","https://openalex.org/W1648281324","https://openalex.org/W1715096597","https://openalex.org/W1974637055","https://openalex.org/W1991947308","https://openalex.org/W2016326123","https://openalex.org/W2021119395","https://openalex.org/W2030752324","https://openalex.org/W2055224523","https://openalex.org/W2060230835","https://openalex.org/W2086742209","https://openalex.org/W2134776161","https://openalex.org/W3100920743","https://openalex.org/W3135320517","https://openalex.org/W4206283588","https://openalex.org/W4238977241","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2134382089","https://openalex.org/W162254089","https://openalex.org/W2033813295","https://openalex.org/W1484266479","https://openalex.org/W1492421865","https://openalex.org/W2170954486","https://openalex.org/W1557149243","https://openalex.org/W4289719525","https://openalex.org/W27959772","https://openalex.org/W2009791150"],"abstract_inverted_index":{"Multiary":[0],"sequent":[1,17,26,41,68],"terms":[2,27],"were":[3],"originally":[4],"introduced":[5],"as":[6],"a":[7,29,38,56,101,109,199],"tool":[8],"for":[9,32,174],"proving":[10],"termination":[11],"of":[12,24,37,40,59,66,77,86,93,103,119,155,168,186,194,201,204],"permutative":[13,144,207],"conversions":[14],"in":[15,108],"cut-free":[16],"calculus.":[18],"This":[19,181],"work":[20],"develops":[21],"the":[22,33,60,63,67,78,84,112,120,139,152,165,169,178,184,187,192,195,202],"language":[23],"multiary":[25,52,113,170],"into":[28],"term":[30],"calculus":[31,42,69],"computational":[34,64],"(Curry-Howard)":[35],"interpretation":[36],"fragment":[39],"with":[43,122,143,160,189],"cuts":[44],"and":[45,95,115,197,206],"cut-elimination":[46],"rules.":[47],"The":[48,105],"system,":[49,188],"called":[50],"generalized":[51,123],"\u03bb-calculus":[53,61,114,121],",":[54],"is":[55,71,131,149,158],"rich":[57],"extension":[58],"where":[62],"content":[65],"format":[70],"explained":[72],"through":[73],"an":[74,116],"enlarged":[75],"form":[76,91],"application":[79],"constructor.":[80],"Such":[81],"constructor":[82],"exhibits":[83],"features":[85,154],"multiarity":[87],"(the":[88,97],"ability":[89,98],"to":[90,99,135,150],"lists":[92],"arguments)":[94],"generality":[96],"prescribe":[100],"kind":[102],"continuation).":[104],"system":[106],"integrates":[107],"modular":[110],"way":[111],"isomorphic":[117],"copy":[118],"application,":[124],"\u039b":[125],"J":[126],"(in":[127],"particular,":[128],"natural":[129],"deduction":[130],"captured":[132],"internally":[133],"up":[134],"isomorphism).":[136],"In":[137],"addition,":[138],"system:":[140],"(i)":[141],"comes":[142],"conversion":[145],"rules,":[146],"whose":[147],"role":[148,193],"eliminate":[151],"new":[153],"application;":[156],"(ii)":[157],"equipped":[159],"reduction":[161,205],"rules":[162,173],"\u2014":[163],"either":[164],"\u03bc-rule,":[166,196],"typical":[167],"setting,":[171],"or":[172],"cut-elimination,":[175],"which":[176],"enlarge":[177],"ordinary":[179],"\u03b2-rule.":[180],"article":[182],"establishes":[183],"metatheory":[185],"emphasis":[190],"on":[191],"including":[198],"study":[200],"interaction":[203],"conversions.":[208]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
