{"id":"https://openalex.org/W2969501000","doi":"https://doi.org/10.1007/978-3-030-29007-8_16","title":"Two Is Enough \u2013 Bisequent Calculus for S5","display_name":"Two Is Enough \u2013 Bisequent Calculus for S5","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2969501000","doi":"https://doi.org/10.1007/978-3-030-29007-8_16","mag":"2969501000"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-29007-8_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-29007-8_16","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5036443124","display_name":"Andrzej Indrzejczak","orcid":"https://orcid.org/0000-0003-4063-1651"},"institutions":[{"id":"https://openalex.org/I34250744","display_name":"University of \u0141\u00f3d\u017a","ror":"https://ror.org/05cq64r17","country_code":"PL","type":"education","lineage":["https://openalex.org/I34250744"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Indrzejczak","raw_affiliation_strings":["Department of Logic, University of \u0141\u00f3d\u017a, Lindleya 3/5, 90\u2013131, \u0141\u00f3d\u017a, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Logic, University of \u0141\u00f3d\u017a, Lindleya 3/5, 90\u2013131, \u0141\u00f3d\u017a, Poland","institution_ids":["https://openalex.org/I34250744"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036443124"],"corresponding_institution_ids":["https://openalex.org/I34250744"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.1025,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80796512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"277","last_page":"294"},"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/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/T11727","display_name":"Advanced Algebra and Logic","score":0.9987000226974487,"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/sequent","display_name":"Sequent","score":0.6907057762145996},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6729169487953186},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.6413868069648743},{"id":"https://openalex.org/keywords/cut-elimination-theorem","display_name":"Cut-elimination theorem","score":0.6412049531936646},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5425044894218445},{"id":"https://openalex.org/keywords/constructive-proof","display_name":"Constructive proof","score":0.5255857110023499},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5240809321403503},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.51203852891922},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44543272256851196},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4432591497898102},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44168758392333984},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.43520474433898926},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.4315774142742157},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2878812253475189},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20215076208114624},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.1809018850326538},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10440391302108765}],"concepts":[{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.6907057762145996},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6729169487953186},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.6413868069648743},{"id":"https://openalex.org/C111404639","wikidata":"https://www.wikidata.org/wiki/Q376166","display_name":"Cut-elimination theorem","level":4,"score":0.6412049531936646},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5425044894218445},{"id":"https://openalex.org/C202854965","wikidata":"https://www.wikidata.org/wiki/Q3044470","display_name":"Constructive proof","level":2,"score":0.5255857110023499},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5240809321403503},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.51203852891922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44543272256851196},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4432591497898102},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44168758392333984},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.43520474433898926},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.4315774142742157},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2878812253475189},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20215076208114624},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.1809018850326538},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10440391302108765},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-29007-8_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-29007-8_16","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W25183180","https://openalex.org/W27601353","https://openalex.org/W42780853","https://openalex.org/W56574371","https://openalex.org/W61450922","https://openalex.org/W82724731","https://openalex.org/W570944246","https://openalex.org/W586261321","https://openalex.org/W598113844","https://openalex.org/W607239742","https://openalex.org/W1497109150","https://openalex.org/W1508937791","https://openalex.org/W1528233644","https://openalex.org/W1528534845","https://openalex.org/W1541261556","https://openalex.org/W1570374618","https://openalex.org/W1939483552","https://openalex.org/W1966647830","https://openalex.org/W1980025572","https://openalex.org/W1990470938","https://openalex.org/W1994532891","https://openalex.org/W1995718667","https://openalex.org/W1996723544","https://openalex.org/W2000451268","https://openalex.org/W2017769810","https://openalex.org/W2018205748","https://openalex.org/W2023360154","https://openalex.org/W2027162606","https://openalex.org/W2034576617","https://openalex.org/W2098580639","https://openalex.org/W2111324752","https://openalex.org/W2118895762","https://openalex.org/W2146345041","https://openalex.org/W2185933163","https://openalex.org/W2282573237","https://openalex.org/W2313862367","https://openalex.org/W2610670723","https://openalex.org/W2620170203","https://openalex.org/W2896288697","https://openalex.org/W2935197533","https://openalex.org/W4210317869","https://openalex.org/W4214880480","https://openalex.org/W4285719527","https://openalex.org/W4388218653","https://openalex.org/W4388372578"],"related_works":["https://openalex.org/W4295728898","https://openalex.org/W3090765541","https://openalex.org/W1562648369","https://openalex.org/W2513857873","https://openalex.org/W2023557900","https://openalex.org/W2584381231","https://openalex.org/W2137780954","https://openalex.org/W4289719533","https://openalex.org/W1479042755","https://openalex.org/W1987945064"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
