{"id":"https://openalex.org/W2104004923","doi":"https://doi.org/10.1017/s0960129509990272","title":"Tree-functors, determinacy and bisimulations","display_name":"Tree-functors, determinacy and bisimulations","publication_year":2010,"publication_date":"2010-02-04","ids":{"openalex":"https://openalex.org/W2104004923","doi":"https://doi.org/10.1017/s0960129509990272","mag":"2104004923"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129509990272","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129509990272","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"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":"Mathematical Structures in Computer Science","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/A5016732227","display_name":"Rocco De Nicola","orcid":"https://orcid.org/0000-0003-4691-7570"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"ROCCO DE NICOLA","raw_affiliation_strings":["Dip. di Sistemi ed Informatica \u2013 Univ. di Firenze, Viale Morgagni 65, 50134 Firenze, Italy Email:","Dip. di Sistemi ed Informatica \u2013 Univ. di Firenze, Viale Morgagni 65, 50134 Firenze, Italy Email: rocco.denicola@unifi.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. di Sistemi ed Informatica \u2013 Univ. di Firenze, Viale Morgagni 65, 50134 Firenze, Italy Email:","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dip. di Sistemi ed Informatica \u2013 Univ. di Firenze, Viale Morgagni 65, 50134 Firenze, Italy Email: rocco.denicola@unifi.it","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070497799","display_name":"Daniele Gorla","orcid":"https://orcid.org/0000-0001-8859-9844"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"DANIELE GORLA","raw_affiliation_strings":["Dip. di Informatica \u2013 Univ. di Roma \u2018La Sapienza\u2019, Via Salaria 113, 00198 Roma, Italy Email:","Dip. di Informatica \u2013 Univ. di Roma \u2018La Sapienza\u2019, Via Salaria 113, 00198 Roma, Italy Email: gorla@di.uniroma1.it, labella@di.uniroma1.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. di Informatica \u2013 Univ. di Roma \u2018La Sapienza\u2019, Via Salaria 113, 00198 Roma, Italy Email:","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dip. di Informatica \u2013 Univ. di Roma \u2018La Sapienza\u2019, Via Salaria 113, 00198 Roma, Italy Email: gorla@di.uniroma1.it, labella@di.uniroma1.it","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017125203","display_name":"Anna Labella","orcid":"https://orcid.org/0000-0001-5405-5531"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"ANNA LABELLA","raw_affiliation_strings":["Dip. di Informatica \u2013 Univ. di Roma \u2018La Sapienza\u2019, Via Salaria 113, 00198 Roma, Italy Email:","Dip. di Informatica \u2013 Univ. di Roma \u2018La Sapienza\u2019, Via Salaria 113, 00198 Roma, Italy Email: gorla@di.uniroma1.it, labella@di.uniroma1.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dip. di Informatica \u2013 Univ. di Roma \u2018La Sapienza\u2019, Via Salaria 113, 00198 Roma, Italy Email:","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dip. di Informatica \u2013 Univ. di Roma \u2018La Sapienza\u2019, Via Salaria 113, 00198 Roma, Italy Email: gorla@di.uniroma1.it, labella@di.uniroma1.it","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.11383418,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"20","issue":"3","first_page":"319","last_page":"358"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9958000183105469,"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":0.9958000183105469,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9771000146865845,"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/functor","display_name":"Functor","score":0.8390392065048218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7755211591720581},{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.69710373878479},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6443514227867126},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.5950472950935364},{"id":"https://openalex.org/keywords/determinacy","display_name":"Determinacy","score":0.5666391849517822},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5563602447509766},{"id":"https://openalex.org/keywords/adjoint-functors","display_name":"Adjoint functors","score":0.47487184405326843},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.44324126839637756},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.43843719363212585},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4257432818412781},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3391759991645813},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.29400965571403503},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1558842957019806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10691386461257935}],"concepts":[{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.8390392065048218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7755211591720581},{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.69710373878479},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6443514227867126},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.5950472950935364},{"id":"https://openalex.org/C58468513","wikidata":"https://www.wikidata.org/wiki/Q1201165","display_name":"Determinacy","level":2,"score":0.5666391849517822},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5563602447509766},{"id":"https://openalex.org/C153778094","wikidata":"https://www.wikidata.org/wiki/Q357858","display_name":"Adjoint functors","level":3,"score":0.47487184405326843},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.44324126839637756},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.43843719363212585},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4257432818412781},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3391759991645813},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29400965571403503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1558842957019806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10691386461257935},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0960129509990272","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129509990272","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"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":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:flore.unifi.it:2158/397139","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/397139","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma1.it:11573/227765","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/227765","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W46845843","https://openalex.org/W258022877","https://openalex.org/W1484608941","https://openalex.org/W1503973138","https://openalex.org/W1506707920","https://openalex.org/W1507692549","https://openalex.org/W1511331505","https://openalex.org/W1511705245","https://openalex.org/W1543050278","https://openalex.org/W1547562281","https://openalex.org/W1755492414","https://openalex.org/W1980264691","https://openalex.org/W1985161650","https://openalex.org/W2030023975","https://openalex.org/W2040247099","https://openalex.org/W2048388169","https://openalex.org/W2049083449","https://openalex.org/W2070689338","https://openalex.org/W2073715955","https://openalex.org/W2076730925","https://openalex.org/W2088189323","https://openalex.org/W2105223068","https://openalex.org/W2105441172","https://openalex.org/W2122859326","https://openalex.org/W2173961470","https://openalex.org/W2580244263","https://openalex.org/W2610406808","https://openalex.org/W2724452537","https://openalex.org/W6601871153","https://openalex.org/W6630173716","https://openalex.org/W6739465736"],"related_works":["https://openalex.org/W2062493106","https://openalex.org/W149303744","https://openalex.org/W4287907471","https://openalex.org/W2052914787","https://openalex.org/W2997323880","https://openalex.org/W4387294058","https://openalex.org/W2957364268","https://openalex.org/W3004609828","https://openalex.org/W2052776783","https://openalex.org/W3020978243"],"abstract_inverted_index":{"We":[0,15,129],"study":[1],"the":[2,39,124,132,167,170,173,222],"functorial":[3],"characterisation":[4],"of":[5,12,33,41,88,97,115,126,155,191,224],"bisimulation-based":[6],"equivalences":[7,149],"over":[8],"a":[9,19,55,71,104,111,188],"categorical":[10],"model":[11],"labelled":[13],"trees.":[14],"show":[16],"that":[17,54,84,158,204],"in":[18,31,60,93,153,221],"setting":[20,133],"where":[21,134],"all":[22,181],"labels":[23,136,182],"are":[24,137,150,183,209],"visible,":[25,139],"strong":[26,178,205],"bisimilarity":[27,179,208],"can":[28,90,199],"be":[29,91,200],"characterised":[30,152],"terms":[32,154],"enriched":[34,48,108,156],"functors":[35,157],"by":[36,120],"relying":[37],"on":[38],"reflection":[40],"paths":[42,160],"with":[43,79,161],"their":[44,162],"factorisations.":[45],"For":[46],"an":[47,94],"functor":[49],"F,":[50],"this":[51],"notion":[52],"requires":[53],"path":[56,72,192],"(an":[57],"internal":[58],"morphism":[59],"our":[61],"framework)":[62],"\u03c0":[63,89],"going":[64,74],"from":[65,75],"F(A)":[66],"to":[67,70,77,103,122,176],"C":[68],"corresponds":[69,102],"p":[73],"A":[76],"K,":[78],"F(K)":[80],"=":[81],"C,":[82],"such":[83],"every":[85],"possible":[86],"factorisation":[87,96,193],"lifted":[92],"appropriate":[95],"p.":[98],"This":[99,197],"last":[100],"property":[101,106,168],"Conduch\u00e9":[105],"for":[107,143,164,185],"functors,":[109],"and":[110,140,145,206,212],"very":[112],"rigid":[113],"formulation":[114],"it":[116],"has":[117],"been":[118],"used":[119,175],"Lawvere":[121],"characterise":[123,177],"determinacy":[125,220],"physical":[127],"systems.":[128],"also":[130],"consider":[131],"some":[135],"not":[138],"provide":[141],"characterisations":[142],"weak":[144,186,215],"branching":[146,165,207],"bisimilarity.":[147],"Both":[148],"still":[151],"reflect":[159],"factorisations:":[163],"bisimilarity,":[166,187,216],"is":[169,195],"same":[171],"as":[172,202],"one":[174],"when":[180],"visible;":[184],"weaker":[189],"form":[190],"lifting":[194],"needed.":[196],"fact":[198],"seen":[201],"evidence":[203],"strictly":[210],"related":[211],"that,":[213],"unlike":[214],"they":[217],"preserve":[218],"process":[219],"sense":[223],"Milner.":[225]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}