{"id":"https://openalex.org/W4283217772","doi":"https://doi.org/10.1093/jigpal/jzac051","title":"Branching Time Axiomatized With the Use of Change Operators","display_name":"Branching Time Axiomatized With the Use of Change Operators","publication_year":2022,"publication_date":"2022-06-21","ids":{"openalex":"https://openalex.org/W4283217772","doi":"https://doi.org/10.1093/jigpal/jzac051"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzac051","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzac051","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 the 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/A5017969147","display_name":"Marcin \u0141yczak","orcid":"https://orcid.org/0000-0001-6795-1749"},"institutions":[{"id":"https://openalex.org/I47996466","display_name":"University of Warmia and Mazury in Olsztyn","ror":"https://ror.org/05s4feg49","country_code":"PL","type":"education","lineage":["https://openalex.org/I47996466"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marcin \u0141yczak","raw_affiliation_strings":["Institute of Philosophy , University of Warmia and Mazury in Olsztyn, Poland","Institute of Philosophy,\r\nUniversity of Warmia and Mazury in Olsztyn, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Philosophy , University of Warmia and Mazury in Olsztyn, Poland","institution_ids":["https://openalex.org/I47996466"]},{"raw_affiliation_string":"Institute of Philosophy,\r\nUniversity of Warmia and Mazury in Olsztyn, Poland","institution_ids":["https://openalex.org/I47996466"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017969147"],"corresponding_institution_ids":["https://openalex.org/I47996466"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.1326,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50946861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":"5","first_page":"894","last_page":"906"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9994999766349792,"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":0.9973999857902527,"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/successor-cardinal","display_name":"Successor cardinal","score":0.6486965417861938},{"id":"https://openalex.org/keywords/existential-quantification","display_name":"Existential quantification","score":0.6341559886932373},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.47787585854530334},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.4770723581314087},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4714787006378174},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46517133712768555},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.44369035959243774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41760754585266113}],"concepts":[{"id":"https://openalex.org/C75306776","wikidata":"https://www.wikidata.org/wiki/Q7632662","display_name":"Successor cardinal","level":2,"score":0.6486965417861938},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.6341559886932373},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47787585854530334},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.4770723581314087},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4714787006378174},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46517133712768555},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.44369035959243774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41760754585266113},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/jigpal/jzac051","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzac051","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 the IGPL","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":14,"referenced_works":["https://openalex.org/W90145143","https://openalex.org/W601025809","https://openalex.org/W1977739643","https://openalex.org/W2000138546","https://openalex.org/W2009288506","https://openalex.org/W2052382295","https://openalex.org/W2320751207","https://openalex.org/W2494200228","https://openalex.org/W2563916384","https://openalex.org/W2913899044","https://openalex.org/W3004201105","https://openalex.org/W3210476636","https://openalex.org/W4206455332","https://openalex.org/W6603631840"],"related_works":["https://openalex.org/W2473542051","https://openalex.org/W3123320268","https://openalex.org/W2994519609","https://openalex.org/W2726593096","https://openalex.org/W2054269721","https://openalex.org/W4235459050","https://openalex.org/W4214635639","https://openalex.org/W2390822611","https://openalex.org/W2908217413","https://openalex.org/W2043444342"],"abstract_inverted_index":{"Abstract":[0],"We":[1,214],"present":[2],"a":[3,57,85,100,223,234],"temporal":[4],"logic":[5,227,229],"of":[6,63,76,91,182,203,236],"branching":[7],"time":[8],"with":[9,184,205],"four":[10],"primitive":[11],"operators:":[12],"$\\exists":[13,30,81,109,135,148,175],"{\\mathcal":[14,22,54,82,105,110,126,130,136,141,189,210],"{C}}$":[15,55,83,111],"\u2013":[16,25,33,44],"it":[17,26,34,45],"may":[18,35,71],"change":[19,28,58,86],"whether;":[20,29],"$\\forall":[21,41,53,104,125,152,196],"{C}}":[23,106,127,131,137,142],"$":[24,32,43,107,150,154],"must":[27,46],"\\Box":[31,42,149,153,176,197],"be":[36,47,72],"endlessly":[37,48],"unchangeable":[38,49],"that;":[39],"and":[40,108,121,134,151,160,193,228],"that.":[50],"Semantically,":[51],"operator":[52],"expresses":[56,84],"in":[59,67,87,95,158,239],"the":[60,64,77,88,92],"logical":[61,89],"value":[62,90],"given":[65,93],"formula":[66,94],"every":[68],"state":[69,97],"that":[70,98,170,216],"an":[73],"immediate":[74,102],"successor":[75],"one":[78,172],"considered,":[79],"while":[80],"some":[96,159],"is":[99,219,233],"possible":[101],"successor.":[103],"are":[112,117,145],"not":[113,118,244],"normal":[114],"operators,":[115],"they":[116],"mutually":[119],"definable":[120],"have":[122],"unusual":[123],"properties:":[124],"A\\leftrightarrow":[128],"\\forall":[129,188],"\\neg":[132,143,186,207],"A$":[133,144,177,198],"A":[138],"\\leftrightarrow":[139],"\\exists":[140,209],"axioms.":[146],"Operators":[147],"express":[155],"endless":[156],"unchangeability":[157],"all":[161],"paths,":[162],"respectively.":[163],"Our":[164],"axiomatization":[165],"contains":[166],"two":[167],"infinitary":[168],"rules":[169],"allow":[171],"to":[173,194],"obtain":[174],"from":[178,199],"infinitely":[179,200],"many":[180,201],"combinations":[181,202],"formulas":[183,204],"$A,":[185,206],",":[187,208],"{C}},":[190,211],"\\land":[191,212],"$,":[192],"get":[195],"$.":[213],"show":[215],"our":[217,226],"formalism":[218],"complete":[220],"by":[221],"presenting":[222],"bridge":[224],"between":[225],"$\\textsf":[230,237],"{UB}$,":[231],"which":[232,240],"fragment":[235],"{CTL}$":[238],"until":[241],"operators":[242],"does":[243],"occur.":[245]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
