{"id":"https://openalex.org/W3011473228","doi":"https://doi.org/10.1093/logcom/exaa021","title":"A multi-labelled sequent calculus for Topo-Logic","display_name":"A multi-labelled sequent calculus for Topo-Logic","publication_year":2020,"publication_date":"2020-01-09","ids":{"openalex":"https://openalex.org/W3011473228","doi":"https://doi.org/10.1093/logcom/exaa021","mag":"3011473228"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exaa021","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaa021","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/A5017336560","display_name":"Ian Shillito","orcid":"https://orcid.org/0009-0009-1529-2679"},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ian Shillito","raw_affiliation_strings":["Institute for Logic, Language and Computation, Universiteit van Amsterdam, Amsterdam, 1098 XG, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Institute for Logic, Language and Computation, Universiteit van Amsterdam, Amsterdam, 1098 XG, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017336560"],"corresponding_institution_ids":["https://openalex.org/I887064364"],"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":0.02538832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"2","first_page":"663","last_page":"696"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T11010","display_name":"Logic, Reasoning, and Knowledge","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/T10126","display_name":"Logic, programming, and type systems","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/T10215","display_name":"Semantic Web and Ontologies","score":0.9947999715805054,"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":0.8664271831512451},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.7648553848266602},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.7381916046142578},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.6572548747062683},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6290884017944336},{"id":"https://openalex.org/keywords/situation-calculus","display_name":"Situation calculus","score":0.5388033390045166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5090758204460144},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.49416330456733704},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.4550723135471344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3812231719493866},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.29878121614456177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.27911239862442017},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1504032015800476}],"concepts":[{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.8664271831512451},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.7648553848266602},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.7381916046142578},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.6572548747062683},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6290884017944336},{"id":"https://openalex.org/C22497172","wikidata":"https://www.wikidata.org/wiki/Q1559077","display_name":"Situation calculus","level":2,"score":0.5388033390045166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5090758204460144},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.49416330456733704},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.4550723135471344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3812231719493866},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.29878121614456177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27911239862442017},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1504032015800476},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":1,"locations":[{"id":"doi:10.1093/logcom/exaa021","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaa021","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":25,"referenced_works":["https://openalex.org/W1043660496","https://openalex.org/W1528233644","https://openalex.org/W1995718667","https://openalex.org/W2006227387","https://openalex.org/W2007119026","https://openalex.org/W2014812345","https://openalex.org/W2048526770","https://openalex.org/W2050527500","https://openalex.org/W2257490130","https://openalex.org/W2304191204","https://openalex.org/W2563785820","https://openalex.org/W2736350825","https://openalex.org/W2745968675","https://openalex.org/W2748449991","https://openalex.org/W2764037009","https://openalex.org/W2773015912","https://openalex.org/W2803679462","https://openalex.org/W2899099304","https://openalex.org/W2949663400","https://openalex.org/W2964151807","https://openalex.org/W3206722367","https://openalex.org/W6696994762","https://openalex.org/W6750721519","https://openalex.org/W6756281672","https://openalex.org/W6766370460"],"related_works":["https://openalex.org/W4295728898","https://openalex.org/W3090765541","https://openalex.org/W162254089","https://openalex.org/W4286750951","https://openalex.org/W2584381231","https://openalex.org/W1562648369","https://openalex.org/W3033363146","https://openalex.org/W4236940717","https://openalex.org/W2793983771","https://openalex.org/W2806893870"],"abstract_inverted_index":{"Abstract":[0],"We":[1,103],"present":[2],"a":[3,8,59,93,128,142,149,152,162,174],"labelled":[4],"sequent":[5],"calculus":[6,38,47,77,95,107,134],"for":[7,43,132,164],"trimodal":[9],"epistemic":[10],"logic":[11],"exhibitied":[12],"in":[13,75,141,170],"Baltag":[14],"et":[15],"al.":[16],"(2017,":[17],"Logic,":[18],"Rationality,":[19],"and":[20,78,120],"Interaction,":[21],"pp.":[22],"330\u2013346),":[23],"an":[24,51],"extension":[25],"of":[26,34,53,70,73,81,85,115,118,122,148,154,168,173,180],"the":[27,32,40,54,68,79,101,146,166,171,178],"so":[28],"called":[29],"\u2018Topo-Logic\u2019.":[30],"To":[31,156],"best":[33],"our":[35,37,76,133],"knowledge,":[36],"is":[39,48,97,183],"first":[41],"proof-calculus":[42],"this":[44,106,158,181],"logic.":[45],"This":[46,64],"obtained":[49],"via":[50],"adaptation":[52],"label":[55],"technique":[56],"by":[57,83,145],"internalizing":[58],"semantics":[60],"over":[61],"topological":[62],"spaces.":[63],"internalization":[65],"leads":[66],"to":[67,91,100,138],"generation":[69,167],"two":[71],"kinds":[72],"labels":[74,169],"labelling":[80],"formulae":[82],"pairs":[84],"labels.":[86],"These":[87],"novelties":[88],"give":[89],"tools":[90],"provide":[92],"simple":[94],"that":[96,105,135],"intuitively":[98],"connected":[99],"semantics.":[102],"prove":[104,139],"enjoys":[108],"many":[109],"structural":[110],"properties":[111],"such":[112],"as":[113],"admissibility":[114,117],"cut,":[116],"contraction":[119],"invertibility":[121],"its":[123],"rules.":[124],"Finally,":[125],"we":[126,160],"exhibit":[127],"proof":[129],"search":[130,175],"strategy":[131,182],"allows":[136],"us":[137],"completeness":[140],"direct":[143],"way":[144],"extraction":[147],"countermodel":[150],"from":[151],"failure":[153],"proof.":[155],"define":[157],"strategy,":[159],"design":[161],"tool":[163],"controlling":[165],"construction":[172],"tree,":[176],"although":[177],"termination":[179],"still":[184],"open.":[185]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}