{"id":"https://openalex.org/W1990883597","doi":"https://doi.org/10.1093/logcom/exm026","title":"Classical Modal Display Logic in the Calculus of Structures and Minimal Cut-free Deep Inference Calculi for S5","display_name":"Classical Modal Display Logic in the Calculus of Structures and Minimal Cut-free Deep Inference Calculi for S5","publication_year":2007,"publication_date":"2007-06-04","ids":{"openalex":"https://openalex.org/W1990883597","doi":"https://doi.org/10.1093/logcom/exm026","mag":"1990883597"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exm026","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exm026","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"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":"Journal of Logic and Computation","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/A5113488566","display_name":"Rajeev Gor\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"R. Gore","raw_affiliation_strings":["Computer Sciences Laboratory, The Australian National University, ACT 0200 Australia. E-mail: rajeev.gore@anu.edu.au","Computer Sciences Laboratory, The Australian National University, ACT 0200 Australia. E-mail:"],"affiliations":[{"raw_affiliation_string":"Computer Sciences Laboratory, The Australian National University, ACT 0200 Australia. E-mail: rajeev.gore@anu.edu.au","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Computer Sciences Laboratory, The Australian National University, ACT 0200 Australia. E-mail:","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071064651","display_name":"Alwen Tiu","orcid":"https://orcid.org/0000-0002-2695-5636"},"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"]},{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"A. Tiu","raw_affiliation_strings":["Computer Sciences Laboratory, The Australian National University and NICTA, ACT 0200 Australia. E-mail: alwen.tiu@anu.edu.au","Computer Sciences Laboratory, The Australian National University and NICTA, ACT 0200 Australia. E-mail:"],"affiliations":[{"raw_affiliation_string":"Computer Sciences Laboratory, The Australian National University and NICTA, ACT 0200 Australia. E-mail: alwen.tiu@anu.edu.au","institution_ids":["https://openalex.org/I118347636","https://openalex.org/I42894916"]},{"raw_affiliation_string":"Computer Sciences Laboratory, The Australian National University and NICTA, ACT 0200 Australia. E-mail:","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113488566"],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":3.8637,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.9329964,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"17","issue":"4","first_page":"767","last_page":"794"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9976999759674072,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9948999881744385,"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/modal-logic","display_name":"Modal logic","score":0.6867008805274963},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.6390882730484009},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5596705675125122},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5475113391876221},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.5397250652313232},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4510551691055298},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40954524278640747},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4051915109157562},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32598787546157837},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3204995095729828},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21946802735328674},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.11965182423591614}],"concepts":[{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6867008805274963},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.6390882730484009},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5596705675125122},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5475113391876221},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.5397250652313232},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4510551691055298},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40954524278640747},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4051915109157562},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32598787546157837},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3204995095729828},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21946802735328674},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.11965182423591614},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/logcom/exm026","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exm026","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"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":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/51936","is_oa":false,"landing_page_url":"https://openresearch-repository.anu.edu.au/bitstream/1885/51936/7/01_Gore_Classical_modal_display_logic_2007.pdf.jpg","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Logic and Computation","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320315885","display_name":"Australian Government","ror":"https://ror.org/0314h5y94"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W64134619","https://openalex.org/W82724731","https://openalex.org/W155894625","https://openalex.org/W1503413362","https://openalex.org/W1517890215","https://openalex.org/W1545081843","https://openalex.org/W1570374618","https://openalex.org/W1575766660","https://openalex.org/W1811725859","https://openalex.org/W1966647830","https://openalex.org/W1967623108","https://openalex.org/W1975460819","https://openalex.org/W1991893598","https://openalex.org/W1994532891","https://openalex.org/W1995718667","https://openalex.org/W1996723544","https://openalex.org/W2010987503","https://openalex.org/W2074551833","https://openalex.org/W2083987012","https://openalex.org/W2092847864","https://openalex.org/W2102625227","https://openalex.org/W2112658881","https://openalex.org/W2168747849","https://openalex.org/W3038873949","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4318188140","https://openalex.org/W2101793126","https://openalex.org/W3016746667","https://openalex.org/W1537541219","https://openalex.org/W1530784265","https://openalex.org/W1587059467","https://openalex.org/W2795425183","https://openalex.org/W4310201982","https://openalex.org/W119381390","https://openalex.org/W2028144918"],"abstract_inverted_index":{"We":[0,40],"begin":[1],"by":[2],"showing":[3],"how":[4,43],"to":[5,47],"faithfully":[6],"encode":[7],"the":[8,17],"Classical":[9],"Modal":[10],"Display":[11],"Logic":[12],"(CMDL)":[13],"of":[14,19,22],"Wansing":[15],"into":[16],"Calculus":[18],"Structures":[20],"(CoS)":[21],"Guglielmi.":[23],"Since":[24],"every":[25],"CMDL":[26],"calculus":[27,52],"enjoys":[28],"cut-elimination,":[29],"we":[30],"obtain":[31],"a":[32,48],"cut-elimination":[33],"theorem":[34],"for":[35,53,62],"all":[36],"corresponding":[37],"CoS":[38,51,60],"calculi.":[39],"then":[41],"show":[42],"our":[44],"result":[45],"leads":[46],"minimal":[49],"cut-free":[50],"modal":[54],"logic":[55],"S5.":[56],"No":[57],"other":[58],"existing":[59],"calculi":[61],"S5":[63],"enjoy":[64],"both":[65],"these":[66],"properties":[67],"simultaneously.":[68]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
