{"id":"https://openalex.org/W2897045895","doi":"https://doi.org/10.23638/lmcs-16(1:20)2020","title":"Recursion Schemes, the MSO Logic, and the U quantifier","display_name":"Recursion Schemes, the MSO Logic, and the U quantifier","publication_year":2020,"publication_date":"2020-02-18","ids":{"openalex":"https://openalex.org/W2897045895","doi":"https://doi.org/10.23638/lmcs-16(1:20)2020","mag":"2897045895"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-16(1:20)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(1:20)2020","pdf_url":"https://lmcs.episciences.org/6111/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/6111/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085631393","display_name":"Pawe\u0142 Parys","orcid":"https://orcid.org/0000-0001-7247-1408"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Pawe\u0142 Parys","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7247-1408","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5085631393"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1268,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.46576532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"Volume 16, Issue 1","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","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/T10142","display_name":"Formal Methods in Verification","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/T10126","display_name":"Logic, programming, and type systems","score":0.9951000213623047,"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9761000275611877,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/quantifier","display_name":"Quantifier (linguistics)","score":0.842404842376709},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.8313155174255371},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.822615921497345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5833350419998169},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45284831523895264},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"Quantifier elimination","score":0.4448294937610626},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4442485272884369},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.41793298721313477},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3010306656360626},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27601101994514465},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19449609518051147},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.15856051445007324},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0783475935459137}],"concepts":[{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.842404842376709},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.8313155174255371},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.822615921497345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5833350419998169},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45284831523895264},{"id":"https://openalex.org/C32278780","wikidata":"https://www.wikidata.org/wiki/Q1849020","display_name":"Quantifier elimination","level":2,"score":0.4448294937610626},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4442485272884369},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.41793298721313477},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3010306656360626},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27601101994514465},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19449609518051147},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.15856051445007324},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0783475935459137}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23638/lmcs-16(1:20)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(1:20)2020","pdf_url":"https://lmcs.episciences.org/6111/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1810.04763","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.04763","pdf_url":"https://arxiv.org/pdf/1810.04763","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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1810.04763","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1810.04763","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":"article-journal"},{"id":"mag:3097152137","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1810.04763.pdf","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":null,"is_accepted":false,"is_published":null,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"doi:10.23638/lmcs-16(1:20)2020","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-16(1:20)2020","pdf_url":"https://lmcs.episciences.org/6111/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322650","display_name":"Narodowym Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2897045895.pdf","grobid_xml":"https://content.openalex.org/works/W2897045895.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W10842229","https://openalex.org/W1482190611","https://openalex.org/W1511526676","https://openalex.org/W1517238936","https://openalex.org/W1549097197","https://openalex.org/W1622981938","https://openalex.org/W1646789098","https://openalex.org/W1983186843","https://openalex.org/W2007098021","https://openalex.org/W2010137316","https://openalex.org/W2036753951","https://openalex.org/W2055765422","https://openalex.org/W2057225506","https://openalex.org/W2062792526","https://openalex.org/W2071164478","https://openalex.org/W2102644483","https://openalex.org/W2103906933","https://openalex.org/W2113283923","https://openalex.org/W2120360673","https://openalex.org/W2134918221","https://openalex.org/W2138308600","https://openalex.org/W2138316064","https://openalex.org/W2142927307","https://openalex.org/W2155036983","https://openalex.org/W2160005349","https://openalex.org/W2173684246","https://openalex.org/W2249237842","https://openalex.org/W2266924268","https://openalex.org/W2290993782","https://openalex.org/W2294925939","https://openalex.org/W2346985033","https://openalex.org/W2442545619","https://openalex.org/W2791847152","https://openalex.org/W2792967318","https://openalex.org/W3142396199","https://openalex.org/W3183609626"],"related_works":["https://openalex.org/W4214737172","https://openalex.org/W3012938552","https://openalex.org/W2324712051","https://openalex.org/W2798639752","https://openalex.org/W1550311267","https://openalex.org/W4287825236","https://openalex.org/W1524103539","https://openalex.org/W4290930689","https://openalex.org/W3093966545","https://openalex.org/W321944842"],"abstract_inverted_index":{"We":[0,36,90],"study":[1],"the":[2,9,33,85,94,97],"model-checking":[3],"problem":[4,24],"for":[5,30,39,59,70,104],"recursion":[6,16,108],"schemes:":[7],"does":[8],"tree":[10],"generated":[11,106],"by":[12,107],"a":[13,19,55],"given":[14,20],"higher-order":[15],"scheme":[17],"satisfy":[18],"logical":[21],"sentence.":[22],"The":[23],"is":[25,57],"known":[26],"to":[27,88],"be":[28,67],"decidable":[29],"sentences":[31],"of":[32,42,84,99],"MSO":[34,43],"logic.":[35],"prove":[37],"decidability":[38],"an":[40,49,81],"extension":[41],"in":[44,72],"which":[45,73],"we":[46],"additionally":[47],"have":[48],"unbounding":[50],"quantifier":[51,65,86],"U,":[52],"saying":[53],"that":[54,93],"subformula":[56],"true":[58],"arbitrarily":[60],"large":[61],"finite":[62,78],"sets.":[63],"This":[64],"can":[66],"used":[68],"only":[69],"subformulae":[71],"all":[74],"free":[75],"variables":[76],"represent":[77],"sets":[79],"(while":[80],"unrestricted":[82],"use":[83],"leads":[87],"undecidability).":[89],"also":[91],"show":[92],"logic":[95],"has":[96],"properties":[98],"reflection":[100],"and":[101],"effective":[102],"selection":[103],"trees":[105],"schemes.":[109]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}