{"id":"https://openalex.org/W56731011","doi":"https://doi.org/10.1007/978-3-642-80732-9_9","title":"A Necessary and Sufficient Condition for Chomsky-Productions Over Partially Ordered Symbol Sets","display_name":"A Necessary and Sufficient Condition for Chomsky-Productions Over Partially Ordered Symbol Sets","publication_year":1973,"publication_date":"1973-01-01","ids":{"openalex":"https://openalex.org/W56731011","doi":"https://doi.org/10.1007/978-3-642-80732-9_9","mag":"56731011"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-80732-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-80732-9_9","pdf_url":null,"source":{"id":"https://openalex.org/S46477374","display_name":"Lecture notes in economics and mathematical systems","issn_l":"0075-8442","issn":["0075-8442","2196-9957"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Economics and Mathematical Systems","raw_type":"book-chapter"},"type":"book-chapter","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":null,"display_name":"H. J. Schneider","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"H. J. Schneider","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.4578,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.97216274,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"90","last_page":"98"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994999766349792,"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/T11567","display_name":"semigroups and automata theory","score":0.9994999766349792,"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/T12029","display_name":"DNA and Biological Computing","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10181","display_name":"Natural Language Processing Techniques","score":0.9962000250816345,"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/context-sensitive-grammar","display_name":"Context-sensitive grammar","score":0.713631808757782},{"id":"https://openalex.org/keywords/tree-adjoining-grammar","display_name":"Tree-adjoining grammar","score":0.7115477323532104},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.710625946521759},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.6900118589401245},{"id":"https://openalex.org/keywords/context-free-grammar","display_name":"Context-free grammar","score":0.625203013420105},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5994148254394531},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.5901657342910767},{"id":"https://openalex.org/keywords/grammar","display_name":"Grammar","score":0.5034067034721375},{"id":"https://openalex.org/keywords/indexed-grammar","display_name":"Indexed grammar","score":0.5004091262817383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48576071858406067},{"id":"https://openalex.org/keywords/l-attributed-grammar","display_name":"L-attributed grammar","score":0.4845518171787262},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.4768035113811493},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4286596179008484},{"id":"https://openalex.org/keywords/chomsky-hierarchy","display_name":"Chomsky hierarchy","score":0.4202796220779419},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41264572739601135},{"id":"https://openalex.org/keywords/natural-language-processing","display_name":"Natural language processing","score":0.34784382581710815},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.24608883261680603},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.11188852787017822},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.08998939394950867}],"concepts":[{"id":"https://openalex.org/C125950753","wikidata":"https://www.wikidata.org/wiki/Q908674","display_name":"Context-sensitive grammar","level":4,"score":0.713631808757782},{"id":"https://openalex.org/C134083981","wikidata":"https://www.wikidata.org/wiki/Q1754022","display_name":"Tree-adjoining grammar","level":4,"score":0.7115477323532104},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.710625946521759},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.6900118589401245},{"id":"https://openalex.org/C97212296","wikidata":"https://www.wikidata.org/wiki/Q338047","display_name":"Context-free grammar","level":3,"score":0.625203013420105},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5994148254394531},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.5901657342910767},{"id":"https://openalex.org/C26022165","wikidata":"https://www.wikidata.org/wiki/Q8091","display_name":"Grammar","level":2,"score":0.5034067034721375},{"id":"https://openalex.org/C79243999","wikidata":"https://www.wikidata.org/wiki/Q6590011","display_name":"Indexed grammar","level":5,"score":0.5004091262817383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48576071858406067},{"id":"https://openalex.org/C67621940","wikidata":"https://www.wikidata.org/wiki/Q3113340","display_name":"L-attributed grammar","level":4,"score":0.4845518171787262},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.4768035113811493},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4286596179008484},{"id":"https://openalex.org/C92273848","wikidata":"https://www.wikidata.org/wiki/Q190913","display_name":"Chomsky hierarchy","level":3,"score":0.4202796220779419},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41264572739601135},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.34784382581710815},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.24608883261680603},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.11188852787017822},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.08998939394950867},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-80732-9_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-80732-9_9","pdf_url":null,"source":{"id":"https://openalex.org/S46477374","display_name":"Lecture notes in economics and mathematical systems","issn_l":"0075-8442","issn":["0075-8442","2196-9957"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Economics and Mathematical Systems","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.6000000238418579,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1525462222","https://openalex.org/W2014399224","https://openalex.org/W2019362040","https://openalex.org/W2044909121","https://openalex.org/W2093311785","https://openalex.org/W2148817888","https://openalex.org/W2912299646","https://openalex.org/W3048158447","https://openalex.org/W6602754419"],"related_works":["https://openalex.org/W4388481545","https://openalex.org/W2792956200","https://openalex.org/W37677999","https://openalex.org/W3008122807","https://openalex.org/W1970209336","https://openalex.org/W3162507233","https://openalex.org/W2041988689","https://openalex.org/W2403874525","https://openalex.org/W2153803459","https://openalex.org/W2543110176"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}