{"id":"https://openalex.org/W2014868111","doi":"https://doi.org/10.1145/1596550.1596577","title":"Free theorems involving type constructor classes","display_name":"Free theorems involving type constructor classes","publication_year":2009,"publication_date":"2009-08-31","ids":{"openalex":"https://openalex.org/W2014868111","doi":"https://doi.org/10.1145/1596550.1596577","mag":"2014868111"},"language":"en","primary_location":{"id":"doi:10.1145/1596550.1596577","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1596550.1596577","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th ACM SIGPLAN international conference on Functional programming","raw_type":"proceedings-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/A5026029995","display_name":"Janis Voigtl\u00e4nder","orcid":"https://orcid.org/0009-0001-2411-9909"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Janis Voigtl\u00e4nder","raw_affiliation_strings":["Technische Universit\u00e4t Dresden, 01062 Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Dresden, 01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026029995"],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":4.3618,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.94294949,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"173","last_page":"184"},"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":0.9857000112533569,"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/T10260","display_name":"Software Engineering Research","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/haskell","display_name":"Haskell","score":0.9139666557312012},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.8564286231994629},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.678536057472229},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6314789056777954},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.6225552558898926},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6086192727088928},{"id":"https://openalex.org/keywords/scope","display_name":"Scope (computer science)","score":0.5654116868972778},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.5574091672897339},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.4312354028224945},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3763437271118164},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3696010112762451},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3352586030960083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3278833031654358},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24818313121795654},{"id":"https://openalex.org/keywords/functional-programming","display_name":"Functional programming","score":0.2145170271396637},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13926470279693604},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08878329396247864}],"concepts":[{"id":"https://openalex.org/C2780624054","wikidata":"https://www.wikidata.org/wiki/Q34010","display_name":"Haskell","level":3,"score":0.9139666557312012},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.8564286231994629},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.678536057472229},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6314789056777954},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.6225552558898926},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6086192727088928},{"id":"https://openalex.org/C2778012447","wikidata":"https://www.wikidata.org/wiki/Q1034415","display_name":"Scope (computer science)","level":2,"score":0.5654116868972778},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.5574091672897339},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4312354028224945},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3763437271118164},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3696010112762451},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3352586030960083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3278833031654358},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24818313121795654},{"id":"https://openalex.org/C42383842","wikidata":"https://www.wikidata.org/wiki/Q193076","display_name":"Functional programming","level":2,"score":0.2145170271396637},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13926470279693604},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08878329396247864},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":[{"id":"doi:10.1145/1596550.1596577","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1596550.1596577","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th ACM SIGPLAN international conference on Functional programming","raw_type":"proceedings-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/W137618863","https://openalex.org/W147667397","https://openalex.org/W326743114","https://openalex.org/W1590681881","https://openalex.org/W1605545000","https://openalex.org/W1963791598","https://openalex.org/W1966981171","https://openalex.org/W1968277829","https://openalex.org/W1980881991","https://openalex.org/W1994376732","https://openalex.org/W1997143185","https://openalex.org/W2021982406","https://openalex.org/W2022050707","https://openalex.org/W2024951218","https://openalex.org/W2037984920","https://openalex.org/W2046645050","https://openalex.org/W2057292961","https://openalex.org/W2059895047","https://openalex.org/W2074674709","https://openalex.org/W2078944436","https://openalex.org/W2106229114","https://openalex.org/W2106256381","https://openalex.org/W2138452186","https://openalex.org/W2141576692","https://openalex.org/W2163552400","https://openalex.org/W2164798377","https://openalex.org/W2182764086","https://openalex.org/W2189322774","https://openalex.org/W3150082558","https://openalex.org/W4245524452","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2890993444","https://openalex.org/W4242201395","https://openalex.org/W3083301185","https://openalex.org/W4306816010","https://openalex.org/W2170599098","https://openalex.org/W3006157134","https://openalex.org/W2787703111","https://openalex.org/W2163980057","https://openalex.org/W4225424606","https://openalex.org/W4306353309"],"abstract_inverted_index":{"Free":[0],"theorems":[1,24],"are":[2],"a":[3,71,79,83],"charm,":[4],"allowing":[5],"the":[6,53,64],"derivation":[7],"of":[8,49,60,74],"useful":[9],"statements":[10],"about":[11],"programs":[12],"from":[13,27,34],"their":[14],"(polymorphic)":[15],"types":[16],"alone.":[17],"We":[18],"show":[19],"how":[20],"to":[21],"reap":[22],"such":[23],"not":[25],"only":[26],"polymorphism":[28,35],"over":[29,36],"ordinary":[30],"types,":[31],"but":[32],"also":[33,68],"type":[37,57],"constructors":[38],"restricted":[39],"by":[40],"class":[41,59],"constraints.":[42],"Our":[43],"prime":[44],"application":[45],"area":[46],"is":[47],"that":[48],"monads,":[50],"which":[51],"form":[52],"probably":[54],"most":[55],"popular":[56],"constructor":[58],"Haskell.":[61],"To":[62],"demonstrate":[63],"broader":[65],"scope,":[66],"we":[67],"deal":[69],"with":[70,82],"transparent":[72],"way":[73],"introducing":[75],"difference":[76],"lists":[77],"into":[78],"program,":[80],"endowed":[81],"neat":[84],"and":[85],"general":[86],"correctness":[87],"proof.":[88]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}