{"id":"https://openalex.org/W2964191283","doi":"https://doi.org/10.4230/lipics.concur.2018.17","title":"Up-To Techniques for Behavioural Metrics via Fibrations","display_name":"Up-To Techniques for Behavioural Metrics via Fibrations","publication_year":2018,"publication_date":"2018-08-13","ids":{"openalex":"https://openalex.org/W2964191283","doi":"https://doi.org/10.4230/lipics.concur.2018.17","mag":"2964191283"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"http://arxiv.org/pdf/1806.11064.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":[],"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/A5004609161","display_name":"Filippo Bonchi","orcid":"https://orcid.org/0000-0002-3433-723X"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"funder","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Filippo Bonchi","raw_affiliation_strings":["University of Pisa, Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"University of Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103103785","display_name":"Barbara K\u00f6nig","orcid":"https://orcid.org/0000-0002-4193-2889"},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"funder","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Barbara K\u00f6nig","raw_affiliation_strings":["University of Duisburg-Essen, Essen, Germany"],"affiliations":[{"raw_affiliation_string":"University of Duisburg-Essen, Essen, Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087070796","display_name":"Daniela Petri\u015fan","orcid":null},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"funder","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Daniela Petrisan","raw_affiliation_strings":["Radboud University Nijmegen, Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Radboud University Nijmegen, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.927,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.867018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":91},"biblio":{"volume":null,"issue":"118","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9911,"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":0.9911,"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":0.9854,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9418,"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/soundness","display_name":"Soundness","score":0.8229027},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.552477},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.5307068},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.4239312}],"concepts":[{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.83966184},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8229027},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.68022156},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.66435295},{"id":"https://openalex.org/C206588197","wikidata":"https://www.wikidata.org/wiki/Q846574","display_name":"Reuse","level":2,"score":0.6153021},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.552477},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.5307068},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.52707547},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44418073},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.4239312},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3173862},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29197136},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.28864354},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08189407},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.060439885},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"http://arxiv.org/pdf/1806.11064.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality education","id":"https://metadata.un.org/sdg/4","score":0.5}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W766238555","https://openalex.org/W3207353994","https://openalex.org/W3176607658","https://openalex.org/W3159040555","https://openalex.org/W3011382318","https://openalex.org/W2810951232","https://openalex.org/W2776184628","https://openalex.org/W2703369","https://openalex.org/W2468444917","https://openalex.org/W2292818403","https://openalex.org/W2121722880","https://openalex.org/W2088189323","https://openalex.org/W2086788473","https://openalex.org/W2077019667","https://openalex.org/W2027667533","https://openalex.org/W2015172530","https://openalex.org/W1984184513","https://openalex.org/W1969735348","https://openalex.org/W1817268752","https://openalex.org/W1549526500"],"abstract_inverted_index":{"Up-to":[0],"techniques":[1,16,89],"are":[2,111],"a":[3,35,42,47,60,64,69,74,91,105],"well-known":[4],"method":[5],"for":[6,17,107],"enhancing":[7],"coinductive":[8],"proofs":[9],"of":[10,59,71,87,99],"behavioural":[11,18],"equivalences.":[12],"We":[13],"introduce":[14],"up-to":[15,88],"metrics":[19],"between":[20,124],"systems":[21],"modelled":[22],"as":[23],"coalgebras":[24],"and":[25,101],"we":[26,45,53,118],"provide":[27,119],"abstract":[28],"results":[29,84],"to":[30,40,50,68,81],"prove":[31],"their":[32],"oundness":[33],"in":[34,63,73,90,104],"compositional":[36],"way.":[37],"\r\nIn":[38],"order":[39],"obtain":[41],"general":[43],"framework,":[44],"need":[46],"systematic":[48],"way":[49],"lift":[51],"functors:":[52],"show":[54],"that":[55],"the":[56,97],"Wasserstein":[57],"lifting":[58],"functor,":[61],"introduced":[62],"previous":[65],"work,":[66],"corresponds":[67],"change":[70],"base":[72],"fibrational":[75,92],"sense.":[76],"This":[77],"observation":[78],"enables":[79],"us":[80],"reuse":[82],"existing":[83],"about":[85],"soundness":[86],"setting.":[93],"\r\nWe":[94],"focus":[95],"on":[96,122],"fibrations":[98],"predicates":[100],"relations":[102],"valued":[103],"quantale,":[106],"which":[108],"pseudo-metric":[109],"spaces":[110],"an":[112,120],"example.":[113],"To":[114],"illustrate":[115],"our":[116],"approach":[117],"example":[121],"distances":[123],"regular":[125],"languages.":[126]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2964191283","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2025-04-16T16:10:16.973227","created_date":"2019-07-30"}