{"id":"https://openalex.org/W2171337548","doi":"https://doi.org/10.1142/s0129054111009008","title":"ON THE AMBIGUITY OF INSERTION SYSTEMS","display_name":"ON THE AMBIGUITY OF INSERTION SYSTEMS","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2171337548","doi":"https://doi.org/10.1142/s0129054111009008","mag":"2171337548"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054111009008","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054111009008","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5044078854","display_name":"Lakshmanan Kuppusamy","orcid":"https://orcid.org/0000-0003-2358-905X"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"LAKSHMANAN KUPPUSAMY","raw_affiliation_strings":["School of Computing Science and Engineering, VIT University, Vellore-632 014, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing Science and Engineering, VIT University, Vellore-632 014, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047657976","display_name":"Anand Mahendran","orcid":"https://orcid.org/0000-0002-7629-9606"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"ANAND MAHENDRAN","raw_affiliation_strings":["School of Computing Science and Engineering, VIT University, Vellore-632 014, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing Science and Engineering, VIT University, Vellore-632 014, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088534812","display_name":"Kamala Krithivasan","orcid":null},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"education","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"KAMALA KRITHIVASAN","raw_affiliation_strings":["Department of Computing Science and Engineering, IIT Madras, Chennai-600 036, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing Science and Engineering, IIT Madras, Chennai-600 036, India","institution_ids":["https://openalex.org/I24676775"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.13940829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"22","issue":"07","first_page":"1747","last_page":"1758"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9952999949455261,"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/T11269","display_name":"Algorithms and Data Compression","score":0.995199978351593,"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/undecidable-problem","display_name":"Undecidable problem","score":0.8254067897796631},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.8029994368553162},{"id":"https://openalex.org/keywords/insertion","display_name":"Insertion","score":0.588489830493927},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5794543027877808},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5315442085266113},{"id":"https://openalex.org/keywords/formal-language","display_name":"Formal language","score":0.47465211153030396},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45569413900375366},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.4399985373020172},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.3451117277145386},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32478395104408264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31535226106643677},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.288727730512619},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.21399155259132385},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.21246746182441711},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.20839422941207886},{"id":"https://openalex.org/keywords/mutation","display_name":"Mutation","score":0.1148148775100708},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.1014527976512909}],"concepts":[{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.8254067897796631},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.8029994368553162},{"id":"https://openalex.org/C118083812","wikidata":"https://www.wikidata.org/wiki/Q1650834","display_name":"Insertion","level":4,"score":0.588489830493927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5794543027877808},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5315442085266113},{"id":"https://openalex.org/C146072743","wikidata":"https://www.wikidata.org/wiki/Q192161","display_name":"Formal language","level":2,"score":0.47465211153030396},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45569413900375366},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.4399985373020172},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.3451117277145386},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32478395104408264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31535226106643677},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.288727730512619},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.21399155259132385},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.21246746182441711},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.20839422941207886},{"id":"https://openalex.org/C501734568","wikidata":"https://www.wikidata.org/wiki/Q42918","display_name":"Mutation","level":3,"score":0.1148148775100708},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.1014527976512909},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054111009008","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054111009008","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W67377139","https://openalex.org/W1512383952","https://openalex.org/W1561605958","https://openalex.org/W2075622371","https://openalex.org/W2914627413","https://openalex.org/W4210461990","https://openalex.org/W4231980886","https://openalex.org/W4253060067"],"related_works":["https://openalex.org/W2157364367","https://openalex.org/W2124498567","https://openalex.org/W2313549919","https://openalex.org/W2121270027","https://openalex.org/W1507487447","https://openalex.org/W2070896619","https://openalex.org/W4376654326","https://openalex.org/W2936871543","https://openalex.org/W189576956","https://openalex.org/W2313200283"],"abstract_inverted_index":{"Gene":[0],"insertion":[1,45,55,79,108],"and":[2,13,69],"deletion":[3],"are":[4,76,82],"the":[5,41,59,63,85,104],"operations":[6],"that":[7,74,103],"occur":[8],"commonly":[9],"in":[10,27,62],"DNA":[11],"processing":[12],"RNA":[14],"editing.":[15],"Based":[16],"on":[17,58],"these":[18],"evolutionary":[19],"transformations,":[20],"a":[21],"computing":[22],"model":[23],"has":[24],"been":[25],"formulated":[26],"formal":[28],"language":[29],"theory":[30],"known":[31],"as":[32,66],"insertion-deletion":[33],"systems.":[34,46],"In":[35],"this":[36],"paper,":[37],"we":[38,48,72,98],"study":[39],"about":[40],"ambiguity":[42,53,105],"issues":[43],"of":[44,52,107],"First,":[47],"define":[49],"six":[50],"levels":[51],"for":[54,84],"systems":[56,109],"based":[57],"components":[60],"used":[61],"derivation":[64],"such":[65],"axiom,":[67],"contexts":[68],"strings.":[70],"Next,":[71],"show":[73],"there":[75],"inherently":[77],"i-ambiguous":[78],"languages":[80],"which":[81],"j-unambiguous":[83],"combinations":[86],"(i,":[87],"j)":[88],"\u2208":[89],"{(5,0),":[90],"(5,4),":[91],"(4,3),":[92],"(4,2),":[93],"(3,1),(2,1),":[94],"(1,0),":[95],"(0,1)}.":[96],"Finally,":[97],"prove":[99],"an":[100],"important":[101],"result":[102],"problem":[106],"is":[110],"undecidable.":[111]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
