{"id":"https://openalex.org/W1459790890","doi":"https://doi.org/10.1093/jigpal/jzv026","title":"First-order aspects of tree paths","display_name":"First-order aspects of tree paths","publication_year":2015,"publication_date":"2015-06-23","ids":{"openalex":"https://openalex.org/W1459790890","doi":"https://doi.org/10.1093/jigpal/jzv026","mag":"1459790890"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzv026","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzv026","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","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/A5073267410","display_name":"Ruaan Kellerman","orcid":"https://orcid.org/0000-0002-1945-3240"},"institutions":[{"id":"https://openalex.org/I69552723","display_name":"University of Pretoria","ror":"https://ror.org/00g0p6g84","country_code":"ZA","type":"education","lineage":["https://openalex.org/I69552723"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"Ruaan Kellerman","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, SOUTH AFRICA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, SOUTH AFRICA","institution_ids":["https://openalex.org/I69552723"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073267410"],"corresponding_institution_ids":["https://openalex.org/I69552723"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02019902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"23","issue":"4","first_page":"688","last_page":"704"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9933000206947327,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9933000206947327,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.989799976348877,"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/T11567","display_name":"semigroups and automata theory","score":0.9854999780654907,"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/computer-science","display_name":"Computer science","score":0.6192747950553894},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6177738904953003},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5653852224349976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1766219437122345},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.14312729239463806},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.058934152126312256}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6192747950553894},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6177738904953003},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5653852224349976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1766219437122345},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.14312729239463806},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.058934152126312256},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/jigpal/jzv026","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzv026","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","raw_type":"journal-article"},{"id":"pmh:oai:repository.up.ac.za:2263/49950","is_oa":false,"landing_page_url":"http://hdl.handle.net/2263/49950","pdf_url":null,"source":{"id":"https://openalex.org/S4306401870","display_name":"UpSpace Institutional Repository (University of Pretoria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I69552723","host_organization_name":"University of Pretoria","host_organization_lineage":["https://openalex.org/I69552723"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Postprint Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W881745721","https://openalex.org/W1511526676","https://openalex.org/W1771000901","https://openalex.org/W1965611063","https://openalex.org/W2000471424","https://openalex.org/W2004003032","https://openalex.org/W2023796640","https://openalex.org/W2062792526","https://openalex.org/W2086101449","https://openalex.org/W2153500812","https://openalex.org/W2162583406","https://openalex.org/W2587382276","https://openalex.org/W6606676470","https://openalex.org/W6641740895"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2130043461","https://openalex.org/W2530322880","https://openalex.org/W1596801655"],"abstract_inverted_index":{"Tree":[0],"paths":[1,63],"are":[2,9,52],"investigated":[3],"using":[4,21],"first-order":[5],"logic.":[6],"The":[7],"following
\\nresults":[8],"obtained:":[10],"(i)":[11],"every":[12,44],"definable":[13,54],"path":[14,29],"can":[15],"be":[16,71,84],"defined":[17],"by":[18],"a":[19,31,58,66],"firstorder
\\nformula":[20],"at":[22],"most":[23],"one":[24],"parameter":[25],"chosen":[26],"from":[27],"the":[28,35,75],"itself;
\\n(ii)":[30],"canonical":[32],"representation":[33],"of":[34,60,77],"formulas":[36],"that":[37,46,69],"define":[38],"definable
\\npaths":[39],"is":[40,55,81],"obtained;":[41],"and":[42],"(iii)":[43],"tree":[45,59],"has":[47],"only":[48],"finitely":[49],"many":[50],"paths
\\nthat":[51],"not":[53],"n-equivalent":[56],"to":[57,83],"which":[61],"all":[62],"are
\\ndefinable.":[64],"Moreover,":[65],"certain":[67],"property":[68],"might":[70],"expected":[72],"to
\\nhold,":[73],"involving":[74],"transfer":[76],"n-equivalence":[78],"between":[79],"trees,":[80],"shown
\\nnot":[82],"true.":[85]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}