{"id":"https://openalex.org/W2124344212","doi":"https://doi.org/10.2178/jsl/1190150036","title":"SN and CR for free-style <i>LK<sup>tq</sup></i>: linear decorations and simulation of normalization","display_name":"SN and CR for free-style <i>LK<sup>tq</sup></i>: linear decorations and simulation of normalization","publication_year":2002,"publication_date":"2002-03-01","ids":{"openalex":"https://openalex.org/W2124344212","doi":"https://doi.org/10.2178/jsl/1190150036","mag":"2124344212"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1190150036","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1190150036","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","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/A5053979521","display_name":"Jean-Baptiste Joinet","orcid":"https://orcid.org/0000-0003-1075-1580"},"institutions":[{"id":"https://openalex.org/I169173203","display_name":"D\u00e9l\u00e9gation Paris 7","ror":"https://ror.org/00bw5n526","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488","https://openalex.org/I169173203"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210139011","display_name":"Laboratory Preuves, Programmes et Syst\u00e8mes","ror":"https://ror.org/046p9e825","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I4210139011","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Baptiste Joinet","raw_affiliation_strings":["\u00c9quipe Preuves Programmes et Syst\u00e9mes, Universit\u00e9 Denis Diderot, Case 7014, 2, Place Jussieu, 75251 Paris Cedex 05, France, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9quipe Preuves Programmes et Syst\u00e9mes, Universit\u00e9 Denis Diderot, Case 7014, 2, Place Jussieu, 75251 Paris Cedex 05, France, E-mail:","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210139011","https://openalex.org/I169173203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029832941","display_name":"Harold Schellinx","orcid":"https://orcid.org/0000-0003-4136-0347"},"institutions":[{"id":"https://openalex.org/I153183030","display_name":"Vincennes University","ror":"https://ror.org/03gbwkj22","country_code":"US","type":"education","lineage":["https://openalex.org/I153183030"]},{"id":"https://openalex.org/I4210128399","display_name":"Soci\u00e9t\u00e9 Fran\u00e7aise d'Exportation des Ressources \u00c9ducatives","ror":"https://ror.org/02r9ctp23","country_code":"FR","type":"other","lineage":["https://openalex.org/I4210128399"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Harold Schellinx","raw_affiliation_strings":["110, Avenue de Paris 94300, Vincennes, France, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"110, Avenue de Paris 94300, Vincennes, France, E-mail:","institution_ids":["https://openalex.org/I153183030","https://openalex.org/I4210128399"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047624745","display_name":"Lorenzo Tortora de Falco","orcid":"https://orcid.org/0000-0002-3987-1095"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Tortora De Falco","raw_affiliation_strings":["Universit\u00e0 Roma Tre, Via Ostiense, 234, 00146, Roma, Italy, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 Roma Tre, Via Ostiense, 234, 00146, Roma, Italy, E-mail:","institution_ids":["https://openalex.org/I119003972"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.853,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78631635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":"1","first_page":"162","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":1.0,"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":1.0,"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":0.9994000196456909,"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":0.9984999895095825,"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/sequent-calculus","display_name":"Sequent calculus","score":0.89903324842453},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.8834426403045654},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.7511655688285828},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.7311232089996338},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6863700151443481},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.6508793234825134},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.5233408808708191},{"id":"https://openalex.org/keywords/curry\u2013howard-correspondence","display_name":"Curry\u2013Howard correspondence","score":0.4766051173210144},{"id":"https://openalex.org/keywords/logical-connective","display_name":"Logical connective","score":0.4676629602909088},{"id":"https://openalex.org/keywords/proof-theory","display_name":"Proof theory","score":0.444978803396225},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43010246753692627},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4207378923892975},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.41439494490623474},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36475637555122375},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35811561346054077},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28155606985092163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22927036881446838},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.09131675958633423},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0667957067489624}],"concepts":[{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.89903324842453},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.8834426403045654},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7511655688285828},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.7311232089996338},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6863700151443481},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.6508793234825134},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.5233408808708191},{"id":"https://openalex.org/C85343465","wikidata":"https://www.wikidata.org/wiki/Q975734","display_name":"Curry\u2013Howard correspondence","level":3,"score":0.4766051173210144},{"id":"https://openalex.org/C194989596","wikidata":"https://www.wikidata.org/wiki/Q211790","display_name":"Logical connective","level":2,"score":0.4676629602909088},{"id":"https://openalex.org/C2318724","wikidata":"https://www.wikidata.org/wiki/Q852732","display_name":"Proof theory","level":3,"score":0.444978803396225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43010246753692627},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4207378923892975},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.41439494490623474},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36475637555122375},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35811561346054077},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28155606985092163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22927036881446838},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.09131675958633423},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0667957067489624},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"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},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1190150036","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1190150036","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1190150036","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1190150036","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W133177166","https://openalex.org/W367533796","https://openalex.org/W1471398886","https://openalex.org/W1495793844","https://openalex.org/W1528126769","https://openalex.org/W1597971736","https://openalex.org/W2120950381","https://openalex.org/W2164691248","https://openalex.org/W2599848827","https://openalex.org/W2911865844","https://openalex.org/W4238292764","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2061801837","https://openalex.org/W2166879872","https://openalex.org/W1572370762","https://openalex.org/W1607623316","https://openalex.org/W2148761448","https://openalex.org/W2503066413","https://openalex.org/W2895726022","https://openalex.org/W2210298890","https://openalex.org/W2124344212","https://openalex.org/W2166401287"],"abstract_inverted_index":{"Abstract":[0],"The":[1,61],"present":[2],"report":[3],"is":[4,65,71,182],"a,":[5],"somewhat":[6],"lengthy,":[7],"addendum":[8],"to":[9,80,152,185],"[4],":[10],"where":[11],"the":[12,27,58,66,93,111,121,164,171],"elimination":[13],"of":[14,29,31,39,57,84,92,102,110,113,118,120,123,132,136,154,175],"cuts":[15],"from":[16],"derivations":[17,79],"in":[18,47,144],"sequent":[19,78],"calculus":[20],"for":[21,90,141],"classical":[22,40,77,126],"logic":[23,41,49],"was":[24,42],"studied":[25],"\u2018from":[26],"point":[28],"view":[30],"linear":[32,48,142],"logic\u2019.":[33],"To":[34],"that":[35,44,68,162],"purpose":[36],"a":[37,107,129],"formulation":[38],"used,":[43],"-":[45,50],"as":[46,128,168],"distinguishes":[51],"between":[52],"multiplicative":[53,87],"and":[54,86,95,100,196],"additive":[55,85],"versions":[56],"binary":[59],"connectives.":[60],"main":[62],"novelty":[63],"here":[64],"observation":[67],"this":[69],"type-distinction":[70],"not":[72,183],"essential:":[73],"we":[74],"can":[75,149],"allow":[76],"use":[81],"any":[82,124],"combination":[83],"introduction":[88,176],"rules":[89],"each":[91],"connectives,":[94],"still":[96],"have":[97],"strong":[98],"normalization":[99],"confluence":[101],"tq":[103,114],"-reductions.":[104],"We":[105,159],"give":[106],"detailed":[108],"description":[109],"simulation":[112],"-reductions":[115],"by":[116,170,191],"means":[117],"reductions":[119],"interpretation":[122],"given":[125],"proof":[127,130,139],"net":[131],"PN2":[133],"(the":[134],"system":[135],"second":[137],"order":[138],"nets":[140],"logic),":[143],"which":[145],"moreover":[146],"all":[147],"connectives":[148],"be":[150,153],"taken":[151],"one":[155,193],"type,":[156],"e.g.,":[157],"multiplicative.":[158],"finally":[160],"observe":[161],"dynamically":[163],"different":[165],"logical":[166],"cuts,":[167],"determined":[169],"four":[172],"possible":[173,184],"combinations":[174],"rules,":[177],"are":[178],"independent":[179],":":[180],"it":[181],"simulate":[186],"them":[187],"internally":[188],",":[189],"i.e..":[190],"only":[192],"specific":[194],"combination,":[195],"structural":[197],"rules.":[198]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
