{"id":"https://openalex.org/W3109376980","doi":"https://doi.org/10.1109/lics52264.2021.9470517","title":"Behavioural Preorders via Graded Monads","display_name":"Behavioural Preorders via Graded Monads","publication_year":2021,"publication_date":"2021-06-29","ids":{"openalex":"https://openalex.org/W3109376980","doi":"https://doi.org/10.1109/lics52264.2021.9470517","mag":"3109376980"},"language":"en","primary_location":{"id":"doi:10.1109/lics52264.2021.9470517","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics52264.2021.9470517","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2011.14339","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078234689","display_name":"Chase Ford","orcid":"https://orcid.org/0000-0003-3892-5917"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Chase Ford","raw_affiliation_strings":["Friedrich-Alexander-Universit\u00e4t Erlangen, N\u00fcrnberg, Germany","Friedrich\u2013Alexander\u2013Universit\u00e4t Erlangen\u2013N\u00fcrnberg (Germany)"],"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universit\u00e4t Erlangen, N\u00fcrnberg, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Friedrich\u2013Alexander\u2013Universit\u00e4t Erlangen\u2013N\u00fcrnberg (Germany)","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015904690","display_name":"Stefan Milius","orcid":"https://orcid.org/0000-0002-2021-1644"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Milius","raw_affiliation_strings":["Friedrich-Alexander-Universit\u00e4t Erlangen, N\u00fcrnberg, Germany","Friedrich\u2013Alexander\u2013Universit\u00e4t Erlangen\u2013N\u00fcrnberg (Germany)"],"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universit\u00e4t Erlangen, N\u00fcrnberg, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Friedrich\u2013Alexander\u2013Universit\u00e4t Erlangen\u2013N\u00fcrnberg (Germany)","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073765060","display_name":"Lutz Schr\u00f6der","orcid":"https://orcid.org/0000-0002-3146-5906"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lutz Schroder","raw_affiliation_strings":["Friedrich-Alexander-Universit\u00e4t Erlangen, N\u00fcrnberg, Germany","Friedrich\u2013Alexander\u2013Universit\u00e4t Erlangen\u2013N\u00fcrnberg (Germany)"],"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander-Universit\u00e4t Erlangen, N\u00fcrnberg, Germany","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Friedrich\u2013Alexander\u2013Universit\u00e4t Erlangen\u2013N\u00fcrnberg (Germany)","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078234689"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01011319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9976000189781189,"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":0.9886000156402588,"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/preorder","display_name":"Preorder","score":0.90748131275177},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.695904016494751},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6401186585426331},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6244747042655945},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5611995458602905},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5007979869842529},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.497802734375},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4551548659801483},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3792780041694641},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.26214027404785156}],"concepts":[{"id":"https://openalex.org/C2333172","wikidata":"https://www.wikidata.org/wiki/Q1425985","display_name":"Preorder","level":2,"score":0.90748131275177},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.695904016494751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6401186585426331},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6244747042655945},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5611995458602905},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5007979869842529},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.497802734375},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4551548659801483},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3792780041694641},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.26214027404785156},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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":4,"locations":[{"id":"doi:10.1109/lics52264.2021.9470517","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics52264.2021.9470517","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2011.14339","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.14339","pdf_url":"https://arxiv.org/pdf/2011.14339","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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"},{"id":"mag:3109376980","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2011.14339","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_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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2011.14339","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2011.14339","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_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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2011.14339","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.14339","pdf_url":"https://arxiv.org/pdf/2011.14339","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.8299999833106995}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3109376980.pdf","grobid_xml":"https://content.openalex.org/works/W3109376980.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W813146449","https://openalex.org/W1482332845","https://openalex.org/W1494684396","https://openalex.org/W1516346965","https://openalex.org/W1547562281","https://openalex.org/W1595870841","https://openalex.org/W1599333409","https://openalex.org/W1972289972","https://openalex.org/W1978246841","https://openalex.org/W1978469611","https://openalex.org/W1988301852","https://openalex.org/W1989540314","https://openalex.org/W2007738069","https://openalex.org/W2016389769","https://openalex.org/W2030282915","https://openalex.org/W2042266169","https://openalex.org/W2044330631","https://openalex.org/W2046946052","https://openalex.org/W2060917500","https://openalex.org/W2075406361","https://openalex.org/W2088189323","https://openalex.org/W2093436963","https://openalex.org/W2098962004","https://openalex.org/W2101433240","https://openalex.org/W2104717233","https://openalex.org/W2111018610","https://openalex.org/W2134038996","https://openalex.org/W2135346163","https://openalex.org/W2155748644","https://openalex.org/W2170219532","https://openalex.org/W2255874857","https://openalex.org/W2273719480","https://openalex.org/W2339107952","https://openalex.org/W2403545718","https://openalex.org/W2605746782","https://openalex.org/W2890223432","https://openalex.org/W2963084494","https://openalex.org/W2970838625","https://openalex.org/W2996036061","https://openalex.org/W3015831855","https://openalex.org/W3101634683","https://openalex.org/W3109954389","https://openalex.org/W3189472968","https://openalex.org/W4213277014","https://openalex.org/W6629699545","https://openalex.org/W6675293491","https://openalex.org/W6691886502","https://openalex.org/W6713637631","https://openalex.org/W6761670904","https://openalex.org/W6771429279","https://openalex.org/W6786678349"],"related_works":["https://openalex.org/W3177172092","https://openalex.org/W58003850","https://openalex.org/W1969246386","https://openalex.org/W2940941988","https://openalex.org/W2255874857","https://openalex.org/W2121722880","https://openalex.org/W3104252790","https://openalex.org/W1791118392","https://openalex.org/W2577137520","https://openalex.org/W2775578497","https://openalex.org/W1586382855","https://openalex.org/W2026323606","https://openalex.org/W2113157988","https://openalex.org/W1582425024","https://openalex.org/W2963084494","https://openalex.org/W2527841536","https://openalex.org/W2262332340","https://openalex.org/W2996036061","https://openalex.org/W1880933543","https://openalex.org/W3093622937"],"abstract_inverted_index":{"Like":[0],"notions":[1,111],"of":[2,36,54,84,91,106,112,127,141,161,163],"process":[3,113],"equivalence,":[4],"behavioural":[5,30,64,95,149,165,177],"preorders":[6,31,65,96,178],"on":[7,80,102,120,175,179],"processes":[8],"come":[9],"in":[10,34,39,50,70,104,157],"many":[11],"flavours,":[12],"ranging":[13],"from":[14],"fine-grained":[15],"comparisons":[16],"such":[17,24,29],"as":[18,25,77,99],"ready":[19],"simulation":[20,44],"to":[21,110],"coarse-grained":[22],"ones":[23],"trace":[26],"inclusion.":[27,169],"Often,":[28],"are":[32,97,122],"characterized":[33,46],"terms":[35],"theory":[37,48,168],"inclusion":[38,49],"dedicated":[40],"characteristic":[41,68],"logics;":[42],"e.g.":[43],"is":[45],"by":[47,124,167],"the":[51,74,81,89,158,164],"positive":[52],"fragment":[53],"Hennessy-Milner":[55],"logic.":[56],"We":[57,115,170],"introduce":[58,133],"a":[59,78,107,125,138,146,153],"unified":[60],"semantic":[61],"framework":[62],"for":[63,155],"and":[66,183],"their":[67],"logics":[69],"which":[71],"we":[72,132,136],"parametrize":[73],"system":[75],"type":[76],"functor":[79],"category":[82],"$\\mathsf{Pos}$":[83,121],"partially":[85],"ordered":[86],"sets":[87],"following":[88],"paradigm":[90],"universal":[92],"coalgebra,":[93],"while":[94],"captured":[98],"graded":[100,118,128,148],"monads":[101,119],"$\\mathsf{Pos}$,":[103],"generalization":[105],"previous":[108],"approach":[109],"equivalence.":[114],"show":[116],"that":[117,131],"induced":[123],"form":[126],"inequational":[129],"theories":[130],"here.":[134],"Moreover,":[135],"provide":[137],"general":[139],"notion":[140],"modal":[142],"logic":[143],"compatible":[144],"with":[145,152],"given":[147],"preorder,":[150],"along":[151],"criterion":[154],"expressiveness,":[156],"indicated":[159],"sense":[160],"characterization":[162],"preorder":[166],"illustrate":[171],"our":[172],"main":[173],"result":[174],"various":[176],"labelled":[180],"transition":[181,185],"systems":[182],"probabilistic":[184],"systems.":[186]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}