{"id":"https://openalex.org/W4230164765","doi":"https://doi.org/10.1109/lics.2004.1319599","title":"Automatic structures: richness and limitations","display_name":"Automatic structures: richness and limitations","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W4230164765","doi":"https://doi.org/10.1109/lics.2004.1319599"},"language":"en","primary_location":{"id":"doi:10.1109/lics.2004.1319599","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.2004.1319599","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004.","raw_type":"proceedings-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/A5034299594","display_name":"Bakh Khoussainov","orcid":"https://orcid.org/0000-0002-7522-1241"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"B. Khoussainov","raw_affiliation_strings":["Department of Computer Science, University of Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047690936","display_name":"Andr\u00e9 Nies","orcid":"https://orcid.org/0000-0002-0666-5180"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"A. Nies","raw_affiliation_strings":["Department of Computer Science, University of Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020570329","display_name":"S. Rubin","orcid":null},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"S. Rubin","raw_affiliation_strings":["Department of Mathematics, University of Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026118572","display_name":"F. Stephan","orcid":null},"institutions":[{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"F. Stephan","raw_affiliation_strings":["Sydney Research Laboratory, Kensington, NICTA, Australia"],"affiliations":[{"raw_affiliation_string":"Sydney Research Laboratory, Kensington, NICTA, Australia","institution_ids":["https://openalex.org/I42894916"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034299594"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":1.0371,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.79240302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"44","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994000196456909,"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":0.9994000196456909,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.996999979019165,"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/abelian-group","display_name":"Abelian group","score":0.6408048868179321},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6312460899353027},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5504171848297119},{"id":"https://openalex.org/keywords/graph-isomorphism","display_name":"Graph isomorphism","score":0.5095277428627014},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.490984708070755},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.48404091596603394},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4723416566848755},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4653656482696533},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4356110095977783},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41689586639404297},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39799806475639343},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3898017108440399},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.336687296628952},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32163205742836},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21405458450317383},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1441388726234436}],"concepts":[{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6408048868179321},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6312460899353027},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5504171848297119},{"id":"https://openalex.org/C61665672","wikidata":"https://www.wikidata.org/wiki/Q303100","display_name":"Graph isomorphism","level":4,"score":0.5095277428627014},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.490984708070755},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.48404091596603394},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4723416566848755},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4653656482696533},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4356110095977783},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41689586639404297},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39799806475639343},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3898017108440399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.336687296628952},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32163205742836},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21405458450317383},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1441388726234436},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lics.2004.1319599","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.2004.1319599","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1026721552","https://openalex.org/W1492946114","https://openalex.org/W1517606395","https://openalex.org/W1907776718","https://openalex.org/W1979257155","https://openalex.org/W2033186040","https://openalex.org/W2105259569","https://openalex.org/W2113544457","https://openalex.org/W2296095876","https://openalex.org/W6658740438"],"related_works":["https://openalex.org/W1258892498","https://openalex.org/W1522618089","https://openalex.org/W2905073546","https://openalex.org/W4360838296","https://openalex.org/W2187958446","https://openalex.org/W3080158623","https://openalex.org/W2389075355","https://openalex.org/W1856194915","https://openalex.org/W2183579781","https://openalex.org/W2041670454"],"abstract_inverted_index":{"This":[0],"paper":[1,68],"studies":[2],"the":[3,23,41,47,67,70,76,79,83],"existence":[4],"of":[5,27,66,78,85],"automatic":[6,13,37,54,87],"presentations":[7],"for":[8,82],"various":[9],"algebraic":[10],"structures.":[11],"The":[12,63],"Boolean":[14],"algebras":[15],"are":[16],"characterised,":[17],"and":[18,30,46],"it":[19],"is":[20,61,69,89],"proven":[21],"that":[22,75],"free":[24],"Abelian":[25],"group":[26],"infinite":[28,43,58],"rank":[29],"many":[31],"Fraisse":[32],"limits":[33],"do":[34,51],"not":[35,52],"have":[36,53],"presentations.":[38,55],"In":[39],"particular,":[40],"countably":[42],"random":[44],"graph":[45],"universal":[48],"partial":[49],"order":[50],"Furthermore,":[56],"no":[57],"integral":[59],"domain":[60],"automatic.":[62],"second":[64],"topic":[65],"isomorphism":[71,80],"problem.":[72],"We":[73],"prove":[74],"complexity":[77],"problem":[81],"class":[84],"all":[86],"structures":[88],"/spl":[90],"Sigma//sub":[91],"1//sup":[92],"1/-complete.":[93]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
