{"id":"https://openalex.org/W2033288912","doi":"https://doi.org/10.1145/1089419.1089420","title":"The relation of Lorenzen calculus to formal language theory","display_name":"The relation of Lorenzen calculus to formal language theory","publication_year":1990,"publication_date":"1990-04-01","ids":{"openalex":"https://openalex.org/W2033288912","doi":"https://doi.org/10.1145/1089419.1089420","mag":"2033288912"},"language":"en","primary_location":{"id":"doi:10.1145/1089419.1089420","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1089419.1089420","pdf_url":null,"source":{"id":"https://openalex.org/S4210226623","display_name":"ACM SIGSAM Bulletin","issn_l":"0163-5824","issn":["0163-5824","1557-9492"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSAM Bulletin","raw_type":"journal-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/A5038182362","display_name":"Ronald E. Prather","orcid":null},"institutions":[{"id":"https://openalex.org/I60060512","display_name":"Trinity University","ror":"https://ror.org/00t8gz605","country_code":"US","type":"education","lineage":["https://openalex.org/I60060512"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ronald E. Prather","raw_affiliation_strings":["Trinity University, San Antonio, TX"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Trinity University, San Antonio, TX","institution_ids":["https://openalex.org/I60060512"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038182362"],"corresponding_institution_ids":["https://openalex.org/I60060512"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14617825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"2","first_page":"9","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9429000020027161,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9429000020027161,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9175999760627747,"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/calculus","display_name":"Calculus (dental)","score":0.5916022658348083},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.5858795046806335},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5307735800743103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5201597213745117},{"id":"https://openalex.org/keywords/formal-language","display_name":"Formal language","score":0.5071942806243896},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.47821733355522156},{"id":"https://openalex.org/keywords/formal-system","display_name":"Formal system","score":0.4759395122528076},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47208520770072937},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.4444432556629181},{"id":"https://openalex.org/keywords/theory","display_name":"Theory","score":0.43334367871284485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42195743322372437},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.4139832854270935},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21744948625564575},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20674055814743042}],"concepts":[{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5916022658348083},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.5858795046806335},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5307735800743103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5201597213745117},{"id":"https://openalex.org/C146072743","wikidata":"https://www.wikidata.org/wiki/Q192161","display_name":"Formal language","level":2,"score":0.5071942806243896},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.47821733355522156},{"id":"https://openalex.org/C102315432","wikidata":"https://www.wikidata.org/wiki/Q649732","display_name":"Formal system","level":2,"score":0.4759395122528076},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47208520770072937},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.4444432556629181},{"id":"https://openalex.org/C144701195","wikidata":"https://www.wikidata.org/wiki/Q10859910","display_name":"Theory","level":2,"score":0.43334367871284485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42195743322372437},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.4139832854270935},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21744948625564575},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20674055814743042},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1089419.1089420","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1089419.1089420","pdf_url":null,"source":{"id":"https://openalex.org/S4210226623","display_name":"ACM SIGSAM Bulletin","issn_l":"0163-5824","issn":["0163-5824","1557-9492"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSAM Bulletin","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.5299999713897705,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W168951100","https://openalex.org/W264273634","https://openalex.org/W1528670220","https://openalex.org/W1541434994","https://openalex.org/W1573056557","https://openalex.org/W1581140154","https://openalex.org/W2040713190","https://openalex.org/W2054344121","https://openalex.org/W2126160338","https://openalex.org/W2212036697","https://openalex.org/W2326418800","https://openalex.org/W2478453924","https://openalex.org/W2581716594","https://openalex.org/W2914032487","https://openalex.org/W4251206353","https://openalex.org/W4254202520"],"related_works":["https://openalex.org/W2355333000","https://openalex.org/W1893570695","https://openalex.org/W3138446341","https://openalex.org/W4285026708","https://openalex.org/W1557334090","https://openalex.org/W3049399870","https://openalex.org/W942766381","https://openalex.org/W2581027266","https://openalex.org/W4312122294","https://openalex.org/W2033288912"],"abstract_inverted_index":{"In":[0],"a":[1,11,63,93,114,121,130,149],"number":[2],"of":[3,14,24,28,55,70,82,95,105,152],"books":[4],"and":[5],"articles":[6],"[1,2],":[7],"Lorenzen":[8,84],"has":[9],"developed":[10],"general":[12],"kind":[13],"calculus":[15],"for":[16,66],"deriving":[17],"character":[18],"strings":[19],"inductively,":[20],"using":[21],"finite":[22],"systems":[23,54],"clauses":[25,40],",":[26,86,98],"reminiscent":[27],"those":[29],"that":[30,47,148],"appear":[31,48],"in":[32,49,79,102,141],"logic":[33],"programming.":[34],"At":[35],"the":[36,45,50,67,74,80,83,96,103,118,142,159],"same":[37],"time,":[38],"these":[39,134],"are":[41],"remarkably":[42],"similar":[43],"to":[44,61,120,128],"productions":[46],"multiple":[51],"antecedent":[52],"canonical":[53],"Post":[56],"[3],":[57],"as":[58],"used":[59],"originally":[60],"derive":[62],"computational":[64],"basis":[65],"formal":[68],"notion":[69],"an":[71,138],"algorithm.":[72],"However,":[73],"interpretation":[75],"is":[76,92,146],"quite":[77],"different":[78],"case":[81,104],"Calculus":[85],"where":[87],"each":[88],"successively":[89],"derived":[90],"word":[91],"member":[94],"theory":[97],"rather":[99],"than":[100],"(as":[101],"Post,":[106],"Turing":[107],"[4],":[108],"or":[109],"Chomsky":[110],"[5]":[111],"productions)":[112],"simply":[113],"\"way":[115],"station\"":[116],"on":[117],"route":[119],"single":[122],"generated":[123],"\"terminal\"":[124],"word.":[125],"We":[126],"intend":[127],"make":[129],"clear":[131],"distinction":[132],"between":[133],"two":[135],"approaches":[136],"at":[137,158],"appropriate":[139],"point":[140],"development,":[143],"but":[144],"it":[145],"well":[147],"tentative":[150],"appreciation":[151],"this":[153],"fundamental":[154],"difference":[155],"be":[156],"understood":[157],"outset.":[160]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}