{"id":"https://openalex.org/W4315631069","doi":"https://doi.org/10.1145/3571215","title":"Towards a Higher-Order Mathematical Operational Semantics","display_name":"Towards a Higher-Order Mathematical Operational Semantics","publication_year":2023,"publication_date":"2023-01-09","ids":{"openalex":"https://openalex.org/W4315631069","doi":"https://doi.org/10.1145/3571215"},"language":"en","primary_location":{"id":"doi:10.1145/3571215","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3571215","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3571215","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3571215","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049352361","display_name":"Sergey Goncharov","orcid":"https://orcid.org/0000-0001-6924-8766"},"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":"Sergey Goncharov","raw_affiliation_strings":["University of Erlangen-Nuremberg, Germany"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg, 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":["University of Erlangen-Nuremberg, Germany"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","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 Schr\u00f6der","raw_affiliation_strings":["University of Erlangen-Nuremberg, Germany"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084261876","display_name":"Stelios Tsampas","orcid":"https://orcid.org/0000-0001-8981-2328"},"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":"Stelios Tsampas","raw_affiliation_strings":["University of Erlangen-Nuremberg, Germany"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049596655","display_name":"Henning Urbat","orcid":"https://orcid.org/0000-0002-3265-7168"},"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":"Henning Urbat","raw_affiliation_strings":["University of Erlangen-Nuremberg, Germany"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-Nuremberg, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5049352361"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":null,"apc_paid":null,"fwci":2.3032,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.90166241,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"7","issue":"POPL","first_page":"632","last_page":"658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9975000023841858,"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":0.9972000122070312,"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/principle-of-compositionality","display_name":"Principle of compositionality","score":0.9788857698440552},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.654056191444397},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.6351928114891052},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5824017524719238},{"id":"https://openalex.org/keywords/operational-semantics","display_name":"Operational semantics","score":0.5003917217254639},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.474163681268692},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.46426132321357727},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3377583622932434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30015328526496887},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1477484107017517}],"concepts":[{"id":"https://openalex.org/C121375916","wikidata":"https://www.wikidata.org/wiki/Q936559","display_name":"Principle of compositionality","level":2,"score":0.9788857698440552},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.654056191444397},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.6351928114891052},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5824017524719238},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"score":0.5003917217254639},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.474163681268692},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.46426132321357727},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3377583622932434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30015328526496887},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1477484107017517},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3571215","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3571215","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3571215","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3571215","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3571215","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3571215","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5099999904632568,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[{"id":"https://openalex.org/G2760972543","display_name":null,"funder_award_id":"419850228","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3211177677","display_name":null,"funder_award_id":"470467389","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5106512922","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G905819901","display_name":null,"funder_award_id":"470467389, 419850228","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4315631069.pdf","grobid_xml":"https://content.openalex.org/works/W4315631069.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W36355091","https://openalex.org/W192542240","https://openalex.org/W258022877","https://openalex.org/W1482758428","https://openalex.org/W1512502927","https://openalex.org/W1513445195","https://openalex.org/W1523424177","https://openalex.org/W1556091851","https://openalex.org/W1712407203","https://openalex.org/W1965297988","https://openalex.org/W1965557765","https://openalex.org/W1966112122","https://openalex.org/W1988152122","https://openalex.org/W2006850413","https://openalex.org/W2020531742","https://openalex.org/W2033051110","https://openalex.org/W2041561080","https://openalex.org/W2088189323","https://openalex.org/W2088941870","https://openalex.org/W2092367588","https://openalex.org/W2101032471","https://openalex.org/W2104917880","https://openalex.org/W2119231401","https://openalex.org/W2123887510","https://openalex.org/W2127358709","https://openalex.org/W2128932399","https://openalex.org/W2136660485","https://openalex.org/W2136928151","https://openalex.org/W2144562508","https://openalex.org/W2150711875","https://openalex.org/W2165407648","https://openalex.org/W2167949883","https://openalex.org/W2334461604","https://openalex.org/W2899892155","https://openalex.org/W2949578585","https://openalex.org/W3029105310","https://openalex.org/W3081797584","https://openalex.org/W3093039139","https://openalex.org/W3093170467","https://openalex.org/W3209406639","https://openalex.org/W4213477957","https://openalex.org/W4226022856","https://openalex.org/W4232632148","https://openalex.org/W4288080212"],"related_works":["https://openalex.org/W1988297271","https://openalex.org/W2100996925","https://openalex.org/W1508710759","https://openalex.org/W2245685274","https://openalex.org/W2002931343","https://openalex.org/W3042312155","https://openalex.org/W3021003119","https://openalex.org/W3007870257","https://openalex.org/W2610513781","https://openalex.org/W2112801462"],"abstract_inverted_index":{"Compositionality":[0],"proofs":[1],"in":[2,64,114],"higher-order":[3,47,62,77,86,98],"languages":[4,87],"are":[5,14,136],"notoriously":[6],"involved,":[7],"and":[8,22,72,117,125],"general":[9,105],"semantic":[10],"frameworks":[11],"guaranteeing":[12],"compositionality":[13,36,106,120],"hard":[15],"to":[16,33,46,75,110],"come":[17],"by.":[18],"In":[19,49,79],"particular,":[20],"Turi":[21,71],"Plotkin\u2019s":[23,73],"bialgebraic":[24],"abstract":[25,58],"GSOS":[26,59,99],"framework,":[27],"which":[28],"has":[29],"been":[30],"successfully":[31],"applied":[32],"obtain":[34],"off-the-shelf":[35],"results":[37],"for":[38,61],"first-order":[39],"languages,":[40,63],"so":[41],"far":[42],"does":[43],"not":[44],"apply":[45],"languages.":[48],"the":[50,67,82,122,126],"present":[51],"work,":[52],"we":[53,95],"develop":[54],"a":[55,76,104,129],"theory":[56],"of":[57,70,85,121,132],"specifications":[60],"effect":[65],"transferring":[66],"core":[68],"principles":[69],"framework":[74],"setting.":[78],"our":[80],"theory,":[81],"operational":[83],"semantics":[84],"is":[88],"represented":[89],"by":[90],"certain":[91],"dinatural":[92],"transformations":[93],"that":[94,108],"term":[96],"pointed":[97],"laws":[100],".":[101],"We":[102],"give":[103],"result":[107],"applies":[109],"all":[111],"systems":[112],"specified":[113],"this":[115],"way":[116],"discuss":[118],"how":[119],"SKI":[123],"calculus":[124],"\u03bb-calculus":[127],"w.r.t.":[128],"strong":[130],"variant":[131],"Abramsky\u2019s":[133],"applicative":[134],"bisimilarity":[135],"obtained":[137],"as":[138],"instances.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-12T08:34:05.389933","created_date":"2025-10-10T00:00:00"}
