{"id":"https://openalex.org/W3157299618","doi":"https://doi.org/10.1109/lics52264.2021.9470626","title":"Parikh\u2019s theorem for infinite alphabets","display_name":"Parikh\u2019s theorem for infinite alphabets","publication_year":2021,"publication_date":"2021-06-29","ids":{"openalex":"https://openalex.org/W3157299618","doi":"https://doi.org/10.1109/lics52264.2021.9470626","mag":"3157299618"},"language":"en","primary_location":{"id":"doi:10.1109/lics52264.2021.9470626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics52264.2021.9470626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2104.12018","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090589200","display_name":"Piotr Hofman","orcid":"https://orcid.org/0000-0001-9866-3723"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Hofman","raw_affiliation_strings":["University of Warsaw"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088414249","display_name":"Marta Juzepczuk","orcid":null},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marta Juzepczuk","raw_affiliation_strings":["University of Warsaw"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102789796","display_name":"S\u0142awomir Lasota","orcid":"https://orcid.org/0000-0001-8674-4470"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Slawomir Lasota","raw_affiliation_strings":["University of Warsaw"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021543300","display_name":"Mohnish Pattathurajan","orcid":null},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mohnish Pattathurajan","raw_affiliation_strings":["University of Warsaw"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Warsaw","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08468041,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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":1.0,"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":0.9983000159263611,"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/T10911","display_name":"Chemical Synthesis and Analysis","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/deterministic-context-free-grammar","display_name":"Deterministic context-free grammar","score":0.7858808040618896},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6931610703468323},{"id":"https://openalex.org/keywords/embedded-pushdown-automaton","display_name":"Embedded pushdown automaton","score":0.6811327934265137},{"id":"https://openalex.org/keywords/rule-based-machine-translation","display_name":"Rule-based machine translation","score":0.5491231083869934},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5394698977470398},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5284414291381836},{"id":"https://openalex.org/keywords/context-free-language","display_name":"Context-free language","score":0.49265629053115845},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.48430266976356506},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.45012402534484863},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4490828216075897},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4355444312095642},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4012622535228729},{"id":"https://openalex.org/keywords/context-free-grammar","display_name":"Context-free grammar","score":0.26974546909332275},{"id":"https://openalex.org/keywords/tree-adjoining-grammar","display_name":"Tree-adjoining grammar","score":0.18923544883728027},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.18177565932273865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15223509073257446},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11400210857391357}],"concepts":[{"id":"https://openalex.org/C177638518","wikidata":"https://www.wikidata.org/wiki/Q3435975","display_name":"Deterministic context-free grammar","level":5,"score":0.7858808040618896},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6931610703468323},{"id":"https://openalex.org/C27034413","wikidata":"https://www.wikidata.org/wiki/Q5370010","display_name":"Embedded pushdown automaton","level":5,"score":0.6811327934265137},{"id":"https://openalex.org/C53893814","wikidata":"https://www.wikidata.org/wiki/Q7378909","display_name":"Rule-based machine translation","level":2,"score":0.5491231083869934},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5394698977470398},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5284414291381836},{"id":"https://openalex.org/C198838072","wikidata":"https://www.wikidata.org/wiki/Q729271","display_name":"Context-free language","level":3,"score":0.49265629053115845},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.48430266976356506},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.45012402534484863},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4490828216075897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4355444312095642},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4012622535228729},{"id":"https://openalex.org/C97212296","wikidata":"https://www.wikidata.org/wiki/Q338047","display_name":"Context-free grammar","level":3,"score":0.26974546909332275},{"id":"https://openalex.org/C134083981","wikidata":"https://www.wikidata.org/wiki/Q1754022","display_name":"Tree-adjoining grammar","level":4,"score":0.18923544883728027},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.18177565932273865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15223509073257446},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11400210857391357},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/lics52264.2021.9470626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics52264.2021.9470626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2104.12018","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.12018","pdf_url":"https://arxiv.org/pdf/2104.12018","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3157299618","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2104.12018","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2104.12018","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2104.12018","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2104.12018","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.12018","pdf_url":"https://arxiv.org/pdf/2104.12018","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Quality Education","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3157299618.pdf","grobid_xml":"https://content.openalex.org/works/W3157299618.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W189278745","https://openalex.org/W294553674","https://openalex.org/W1542510688","https://openalex.org/W1712879069","https://openalex.org/W1981870753","https://openalex.org/W1993445050","https://openalex.org/W2002208751","https://openalex.org/W2036286064","https://openalex.org/W2054193719","https://openalex.org/W2056665285","https://openalex.org/W2073614038","https://openalex.org/W2081396910","https://openalex.org/W2096202696","https://openalex.org/W2110117589","https://openalex.org/W2145576118","https://openalex.org/W2157390113","https://openalex.org/W2166452446","https://openalex.org/W2177814128","https://openalex.org/W2962845165","https://openalex.org/W3037332318","https://openalex.org/W3103813054","https://openalex.org/W4245071229","https://openalex.org/W6637517113","https://openalex.org/W6684613963","https://openalex.org/W6692037359"],"related_works":["https://openalex.org/W3177350684","https://openalex.org/W2963713995","https://openalex.org/W2159640064","https://openalex.org/W2278693202","https://openalex.org/W3198705318","https://openalex.org/W3037332318","https://openalex.org/W2612243066","https://openalex.org/W1652094598","https://openalex.org/W1543548108","https://openalex.org/W2402414534","https://openalex.org/W2094818329","https://openalex.org/W2050310895","https://openalex.org/W1563255274","https://openalex.org/W1788369186","https://openalex.org/W2085888737","https://openalex.org/W88462764","https://openalex.org/W3036165475","https://openalex.org/W2048510","https://openalex.org/W2997837886","https://openalex.org/W2168381753"],"abstract_inverted_index":{"We":[0,33,52,77],"investigate":[1],"commutative":[2,36,60],"images":[3,37,61],"of":[4,29,38,40,62],"languages":[5,39,66],"recognised":[6],"by":[7,23],"register":[8,64,75],"automata":[9,42,82],"and":[10,13,69,83],"grammars.":[11],"Semi-linear":[12],"rational":[14],"sets":[15],"can":[16],"be":[17],"naturally":[18],"extended":[19],"to":[20,58,74],"this":[21],"setting":[22],"allowing":[24],"for":[25,81],"orbit-finite":[26],"unions":[27],"instead":[28],"only":[30],"finite":[31],"ones.":[32],"prove":[34],"that":[35],"one-register":[41],"are":[43,49,67],"not":[44],"always":[45,50],"semi-linear,":[46],"but":[47],"they":[48],"rational.":[51],"also":[53],"lift":[54],"the":[55],"latter":[56],"result":[57],"grammars:":[59],"one-":[63],"context-free":[65],"rational,":[68],"in":[70],"consequence":[71],"commutatively":[72],"equivalent":[73],"automata.":[76],"conjecture":[78],"analogous":[79],"results":[80],"grammars":[84],"with":[85],"arbitrarily":[86],"many":[87],"registers.":[88]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
