{"id":"https://openalex.org/W4205804789","doi":"https://doi.org/10.1145/3498715","title":"Formal metatheory of second-order abstract syntax","display_name":"Formal metatheory of second-order abstract syntax","publication_year":2022,"publication_date":"2022-01-12","ids":{"openalex":"https://openalex.org/W4205804789","doi":"https://doi.org/10.1145/3498715"},"language":"en","primary_location":{"id":"doi:10.1145/3498715","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3498715","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3498715","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3498715","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080675787","display_name":"Marcelo Fiore","orcid":"https://orcid.org/0000-0001-8558-3492"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Marcelo Fiore","raw_affiliation_strings":["University of Cambridge, UK"],"raw_orcid":"https://orcid.org/0000-0001-8558-3492","affiliations":[{"raw_affiliation_string":"University of Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050140279","display_name":"Dmitrij Szamozvancev","orcid":"https://orcid.org/0000-0002-5436-6302"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Dmitrij Szamozvancev","raw_affiliation_strings":["University of Cambridge, UK"],"raw_orcid":"https://orcid.org/0000-0002-5436-6302","affiliations":[{"raw_affiliation_string":"University of Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":2.44,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.89902076,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"6","issue":"POPL","first_page":"1","last_page":"29"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9972000122070312,"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"}},{"id":"https://openalex.org/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/metatheory","display_name":"Metatheory","score":0.8768892288208008},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7248461246490479},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.6652417182922363},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.6238243579864502},{"id":"https://openalex.org/keywords/syntax","display_name":"Syntax","score":0.6140803098678589},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.5277348756790161},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.525208055973053},{"id":"https://openalex.org/keywords/abstract-syntax","display_name":"Abstract syntax","score":0.506093442440033},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4999403953552246},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3643704056739807},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2041410505771637}],"concepts":[{"id":"https://openalex.org/C39387531","wikidata":"https://www.wikidata.org/wiki/Q1096708","display_name":"Metatheory","level":2,"score":0.8768892288208008},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7248461246490479},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.6652417182922363},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.6238243579864502},{"id":"https://openalex.org/C60048249","wikidata":"https://www.wikidata.org/wiki/Q37437","display_name":"Syntax","level":2,"score":0.6140803098678589},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.5277348756790161},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.525208055973053},{"id":"https://openalex.org/C114408938","wikidata":"https://www.wikidata.org/wiki/Q333373","display_name":"Abstract syntax","level":3,"score":0.506093442440033},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4999403953552246},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3643704056739807},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2041410505771637}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3498715","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3498715","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3498715","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"},{"id":"pmh:oai:arXiv.org:2201.03504","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2201.03504","pdf_url":"https://arxiv.org/pdf/2201.03504","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"pmh:oai:www.repository.cam.ac.uk:1810/330658","is_oa":false,"landing_page_url":"https://www.repository.cam.ac.uk/handle/1810/330658","pdf_url":null,"source":{"id":"https://openalex.org/S4306401777","display_name":"Apollo (University of Cambridge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I241749","host_organization_name":"University of Cambridge","host_organization_lineage":["https://openalex.org/I241749"],"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":"Conference Object"},{"id":"doi:10.17863/cam.78103","is_oa":true,"landing_page_url":"https://doi.org/10.17863/cam.78103","pdf_url":null,"source":{"id":"https://openalex.org/S7407050737","display_name":"Apollo","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Collection"}],"best_oa_location":{"id":"doi:10.1145/3498715","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3498715","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3498715","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":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.6399999856948853}],"awards":[{"id":"https://openalex.org/G2723597063","display_name":null,"funder_award_id":"EP/V002309/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3688903959","display_name":"DTP 2018-19 University of Cambridge","funder_award_id":"EP/R513180/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4726963726","display_name":null,"funder_award_id":"2119874","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5071449251","display_name":"Monoidal bicategories, linear logic and operads","funder_award_id":"EP/V002309/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5322384683","display_name":null,"funder_award_id":"EP/V002309/1,EP/R513180/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6875110320","display_name":null,"funder_award_id":"R513180/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4205804789.pdf","grobid_xml":"https://content.openalex.org/works/W4205804789.grobid-xml"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W104819362","https://openalex.org/W184345177","https://openalex.org/W1488638832","https://openalex.org/W1495561703","https://openalex.org/W1530208688","https://openalex.org/W1567516333","https://openalex.org/W1569939672","https://openalex.org/W1587287586","https://openalex.org/W1975911435","https://openalex.org/W1982209843","https://openalex.org/W1997354605","https://openalex.org/W2006714020","https://openalex.org/W2009464583","https://openalex.org/W2024148855","https://openalex.org/W2034319793","https://openalex.org/W2042779906","https://openalex.org/W2046449629","https://openalex.org/W2071866471","https://openalex.org/W2091657052","https://openalex.org/W2095631859","https://openalex.org/W2108857165","https://openalex.org/W2123360309","https://openalex.org/W2123887510","https://openalex.org/W2136171121","https://openalex.org/W2136928151","https://openalex.org/W2137850935","https://openalex.org/W2149236820","https://openalex.org/W2154273644","https://openalex.org/W2155817473","https://openalex.org/W2295866357","https://openalex.org/W2496247227","https://openalex.org/W2521607330","https://openalex.org/W2555814573","https://openalex.org/W2564286502","https://openalex.org/W2758075124","https://openalex.org/W2780833610","https://openalex.org/W2897762392","https://openalex.org/W2899841824","https://openalex.org/W2907081672","https://openalex.org/W2995917016","https://openalex.org/W3006681445","https://openalex.org/W3014596948","https://openalex.org/W3022531386","https://openalex.org/W3029105310","https://openalex.org/W3093834624","https://openalex.org/W3118363023","https://openalex.org/W3123899120","https://openalex.org/W4212957569","https://openalex.org/W4240072532","https://openalex.org/W4242910361","https://openalex.org/W4246086292","https://openalex.org/W4288080212"],"related_works":["https://openalex.org/W4309804347","https://openalex.org/W1988370859","https://openalex.org/W2613250302","https://openalex.org/W4294189394","https://openalex.org/W2399811286","https://openalex.org/W4319867150","https://openalex.org/W2005927140","https://openalex.org/W4206294449","https://openalex.org/W2077104824","https://openalex.org/W2143166528"],"abstract_inverted_index":{"Despite":[0],"extensive":[1],"research":[2],"both":[3],"on":[4,42],"the":[5,28,38,44,58,83,134,150],"theoretical":[6],"and":[7,13,27,62,66,105,118],"practical":[8],"fronts,":[9],"formalising,":[10],"reasoning":[11],"about,":[12],"implementing":[14],"languages":[15,145],"with":[16,89,99,108],"variable":[17],"binding":[18],"is":[19],"still":[20],"a":[21,49,73,86],"daunting":[22],"endeavour":[23],"\u2013":[24,136,140],"repetitive":[25],"boilerplate":[26],"overly":[29],"complicated":[30],"metatheory":[31,114],"of":[32,40,48,60,68,85,122,133,144],"capture-avoiding":[33],"substitution":[34,152],"often":[35],"get":[36],"in":[37,78],"way":[39],"progressing":[41],"to":[43],"actually":[45],"interesting":[46],"properties":[47],"language.":[50],"Existing":[51],"developments":[52],"offer":[53],"some":[54],"relief,":[55],"however":[56],"at":[57],"expense":[59],"inconvenient":[61],"error-prone":[63],"term":[64],"encodings":[65],"lack":[67],"formal":[69],"foundations.":[70],"We":[71],"present":[72],"mathematically-inspired":[74],"language-formalisation":[75],"framework":[76,135],"implemented":[77],"Agda.":[79],"The":[80,112,129],"system":[81],"translates":[82],"description":[84],"syntax":[87],"signature":[88],"variable-binding":[90],"operators":[91],"into":[92,146],"an":[93],"intrinsically-encoded,":[94],"inductive":[95],"data":[96],"type":[97],"equipped":[98],"syntactic":[100],"operations":[101],"such":[102],"as":[103],"weakening":[104],"substitution,":[106],"along":[107],"their":[109,119,147],"correctness":[110],"properties.":[111],"generated":[113],"further":[115],"incorporates":[116],"metavariables":[117],"associated":[120],"operation":[121],"metasubstitution,":[123],"which":[124],"enables":[125],"second-order":[126],"equational/rewriting":[127],"reasoning.":[128],"underlying":[130],"mathematical":[131],"foundation":[132],"initial":[137],"algebra":[138],"semantics":[139],"derives":[141],"compositional":[142],"interpretations":[143],"models":[148],"satisfying":[149],"semantic":[151],"lemma":[153],"by":[154],"construction.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}