{"id":"https://openalex.org/W2028218142","doi":"https://doi.org/10.1145/1389449.1389456","title":"'Galculator'","display_name":"'Galculator'","publication_year":2008,"publication_date":"2008-07-15","ids":{"openalex":"https://openalex.org/W2028218142","doi":"https://doi.org/10.1145/1389449.1389456","mag":"2028218142"},"language":"en","primary_location":{"id":"doi:10.1145/1389449.1389456","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1389449.1389456","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 10th international ACM SIGPLAN conference on Principles and practice of declarative programming","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1822/38932","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045852324","display_name":"Paulo F. Silva","orcid":"https://orcid.org/0000-0001-8179-4102"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Paulo F. Silva","raw_affiliation_strings":["University of Minho, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070407243","display_name":"Jos\u00e9 N. Oliveira","orcid":"https://orcid.org/0000-0002-0196-4229"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 N. Oliveira","raw_affiliation_strings":["University of Minho, Braga, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Minho, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99682543"],"apc_list":null,"apc_paid":null,"fwci":2.9186,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91255483,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"44","last_page":"55"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9961000084877014,"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":0.9925000071525574,"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/mathematical-proof","display_name":"Mathematical proof","score":0.7993407845497131},{"id":"https://openalex.org/keywords/haskell","display_name":"Haskell","score":0.7508863210678101},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.709395170211792},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5954849720001221},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.5526276230812073},{"id":"https://openalex.org/keywords/galois-connection","display_name":"Galois connection","score":0.46004441380500793},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4255397319793701},{"id":"https://openalex.org/keywords/functional-programming","display_name":"Functional programming","score":0.3299504518508911},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2419741451740265},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18325209617614746},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0952962338924408}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7993407845497131},{"id":"https://openalex.org/C2780624054","wikidata":"https://www.wikidata.org/wiki/Q34010","display_name":"Haskell","level":3,"score":0.7508863210678101},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.709395170211792},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5954849720001221},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.5526276230812073},{"id":"https://openalex.org/C2777573902","wikidata":"https://www.wikidata.org/wiki/Q1491747","display_name":"Galois connection","level":2,"score":0.46004441380500793},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4255397319793701},{"id":"https://openalex.org/C42383842","wikidata":"https://www.wikidata.org/wiki/Q193076","display_name":"Functional programming","level":2,"score":0.3299504518508911},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2419741451740265},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18325209617614746},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0952962338924408},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1389449.1389456","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1389449.1389456","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 10th international ACM SIGPLAN conference on Principles and practice of declarative programming","raw_type":"proceedings-article"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/38932","is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/38932","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"}],"best_oa_location":{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/38932","is_oa":true,"landing_page_url":"http://hdl.handle.net/1822/38932","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W60979467","https://openalex.org/W66546368","https://openalex.org/W1492124994","https://openalex.org/W1502384207","https://openalex.org/W1504030085","https://openalex.org/W1508451735","https://openalex.org/W1517760837","https://openalex.org/W1528098570","https://openalex.org/W1532097571","https://openalex.org/W1534679778","https://openalex.org/W1553511155","https://openalex.org/W1821613621","https://openalex.org/W1823621842","https://openalex.org/W1874045851","https://openalex.org/W1895387792","https://openalex.org/W1947395352","https://openalex.org/W1967061556","https://openalex.org/W1986402635","https://openalex.org/W1996804992","https://openalex.org/W2013201201","https://openalex.org/W2018944629","https://openalex.org/W2034484223","https://openalex.org/W2042631106","https://openalex.org/W2057292961","https://openalex.org/W2063068243","https://openalex.org/W2123835026","https://openalex.org/W2136177623","https://openalex.org/W2142565829","https://openalex.org/W2143566245","https://openalex.org/W2166822586","https://openalex.org/W2172307690","https://openalex.org/W2295914203","https://openalex.org/W2618896829","https://openalex.org/W4230729748","https://openalex.org/W4243356233"],"related_works":["https://openalex.org/W2112263414","https://openalex.org/W3004782279","https://openalex.org/W4295798319","https://openalex.org/W1602185604","https://openalex.org/W1819460135","https://openalex.org/W2028779182","https://openalex.org/W2913635267","https://openalex.org/W2792461873","https://openalex.org/W2886472010","https://openalex.org/W3135839603"],"abstract_inverted_index":{"Galculator":[0,64,85],"is":[1,16,67,94],"the":[2,5,20,28,35,49,59,62,84],"name":[3],"of":[4,7,11,22,51,61,82],"prototype":[6],"a":[8,12,42],"proof":[9,88],"assistant":[10],"special":[13],"brand:":[14],"it":[15],"solely":[17],"based":[18],"on":[19],"algebra":[21],"Galois":[23,39],"connections.":[24],"When":[25],"combined":[26],"with":[27,86],"pointfree":[29],"transform":[30],"and":[31],"tactics":[32],"such":[33,90],"as":[34,76,78,91],"indirect":[36],"equality":[37],"principle,":[38],"connections":[40],"offer":[41],"very":[43],"powerful,":[44],"generic":[45],"device":[46],"to":[47,73],"tackle":[48],"complexity":[50],"proofs":[52],"in":[53,69,71],"program":[54],"verification.":[55],"The":[56,80],"paper":[57],"describes":[58],"architecture":[60],"current":[63],"prototype,":[65],"which":[66],"implemented":[68],"Haskell":[70],"order":[72],"steer":[74],"types":[75],"much":[77],"possible.":[79],"prospect":[81],"integrating":[83],"other":[87],"assistants":[89],"e.g.":[92],"Coq":[93],"also":[95],"discussed":[96]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-06T08:01:05.025921","created_date":"2016-06-24T00:00:00"}