{"id":"https://openalex.org/W2089713242","doi":"https://doi.org/10.1002/malq.19950410208","title":"On Commutative and Nonassociative Syntactic Calculi and Categorial Grammars","display_name":"On Commutative and Nonassociative Syntactic Calculi and Categorial Grammars","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2089713242","doi":"https://doi.org/10.1002/malq.19950410208","mag":"2089713242"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19950410208","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19950410208","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5071218069","display_name":"Maciej Kandulski","orcid":null},"institutions":[{"id":"https://openalex.org/I59411706","display_name":"Adam Mickiewicz University in Pozna\u0144","ror":"https://ror.org/04g6bbq64","country_code":"PL","type":"education","lineage":["https://openalex.org/I59411706"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Maciej Kandulski","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Adam Mickiewicz University ul. Matejki 48/49, 60\u2013769 Poznan\u0301, Poland","Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Matejki 48/49, 60\u2013769 Pozna\u0144, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Adam Mickiewicz University ul. Matejki 48/49, 60\u2013769 Poznan\u0301, Poland","institution_ids":["https://openalex.org/I59411706"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Matejki 48/49, 60\u2013769 Pozna\u0144, Poland","institution_ids":["https://openalex.org/I59411706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071218069"],"corresponding_institution_ids":["https://openalex.org/I59411706"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":1.0676,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77860983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"2","first_page":"217","last_page":"235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9955999851226807,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9955999851226807,"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":0.9750999808311462,"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":0.9731000065803528,"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/mathematics","display_name":"Mathematics","score":0.7586145401000977},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.698740541934967},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6345924139022827},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.6084082126617432},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5874707698822021},{"id":"https://openalex.org/keywords/categorial-grammar","display_name":"Categorial grammar","score":0.5180099606513977},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33232012391090393},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3206046223640442},{"id":"https://openalex.org/keywords/generative-grammar","display_name":"Generative grammar","score":0.18425264954566956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1489044725894928},{"id":"https://openalex.org/keywords/mildly-context-sensitive-grammar-formalism","display_name":"Mildly context-sensitive grammar formalism","score":0.1102096438407898},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09871715307235718}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7586145401000977},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.698740541934967},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6345924139022827},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.6084082126617432},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5874707698822021},{"id":"https://openalex.org/C840598","wikidata":"https://www.wikidata.org/wiki/Q1841499","display_name":"Categorial grammar","level":5,"score":0.5180099606513977},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33232012391090393},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3206046223640442},{"id":"https://openalex.org/C39890363","wikidata":"https://www.wikidata.org/wiki/Q36108","display_name":"Generative grammar","level":2,"score":0.18425264954566956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1489044725894928},{"id":"https://openalex.org/C172265290","wikidata":"https://www.wikidata.org/wiki/Q6134957","display_name":"Mildly context-sensitive grammar formalism","level":4,"score":0.1102096438407898},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09871715307235718},{"id":"https://openalex.org/C69298649","wikidata":"https://www.wikidata.org/wiki/Q6045214","display_name":"Emergent grammar","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/malq.19950410208","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19950410208","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.46.6756","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.46.6756","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://main.amu.edu.pl/~mkandu/axnclpop.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W30801232","https://openalex.org/W31269605","https://openalex.org/W152179552","https://openalex.org/W1991478887","https://openalex.org/W2002089154","https://openalex.org/W2017864760","https://openalex.org/W2038925304","https://openalex.org/W2039977878","https://openalex.org/W2086902772","https://openalex.org/W2090146470","https://openalex.org/W2095436742","https://openalex.org/W2106556109","https://openalex.org/W2117375083","https://openalex.org/W2141635030","https://openalex.org/W2146224442","https://openalex.org/W2148482768","https://openalex.org/W2198676657","https://openalex.org/W2215585991","https://openalex.org/W2328580899","https://openalex.org/W2491308941","https://openalex.org/W4242125186","https://openalex.org/W4255194959","https://openalex.org/W4285719527","https://openalex.org/W4302339081","https://openalex.org/W6723023280"],"related_works":["https://openalex.org/W2001804317","https://openalex.org/W82542072","https://openalex.org/W2186961471","https://openalex.org/W1513699075","https://openalex.org/W1976462881","https://openalex.org/W73771754","https://openalex.org/W1572215174","https://openalex.org/W2009505607","https://openalex.org/W1582397898","https://openalex.org/W2807865624"],"abstract_inverted_index":{"Abstract":[0],"Two":[1],"axiomatizations":[2,67],"of":[3,47,60,64,77,94],"the":[4,24,28,45,48,58,74,82],"nonassociative":[5,83],"and":[6,13,84],"commutative":[7,85],"Lambek":[8,86],"syntactic":[9],"calculus":[10,50,87],"are":[11,68],"given":[12],"their":[14],"equivalence":[15,53],"is":[16,40,54],"proved.":[17],"The":[18],"first":[19],"axiomatization":[20],"employs":[21,35],"Permutation":[22,33],"as":[23],"only":[25,36,56],"structural":[26],"rule,":[27,34],"second":[29],"one,":[30],"with":[31,88,101],"no":[32],"unidirectional":[37],"types.":[38],"It":[39],"also":[41],"shown":[42],"that":[43],"in":[44,57,70],"case":[46,59],"Ajdukiewicz":[49],"an":[51],"analogous":[52],"valid":[55],"a":[61],"restricted":[62],"set":[63],"formulas.":[65],"Unidirectional":[66],"employed":[69],"order":[71],"to":[72,103],"establish":[73],"generative":[75],"power":[76],"categorial":[78],"grammars":[79,91],"based":[80],"on":[81],"product.":[89],"Those":[90],"produce":[92],"CF\u2010languages":[93],"finite":[95],"degree":[96],"generated":[97],"by":[98],"CF\u2010grammars":[99],"closed":[100],"respect":[102],"permutations.":[104]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
