{"id":"https://openalex.org/W2969696171","doi":"https://doi.org/10.1007/978-3-030-29026-9_13","title":"On Combinatorial Proofs for Modal Logic","display_name":"On Combinatorial Proofs for Modal Logic","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2969696171","doi":"https://doi.org/10.1007/978-3-030-29026-9_13","mag":"2969696171"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-29026-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-29026-9_13","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":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-02390400","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066976558","display_name":"Matteo Acclavio","orcid":"https://orcid.org/0000-0002-0425-2825"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Matteo Acclavio","raw_affiliation_strings":["Universit\u00e0 Roma Tre, Rome, Italy","PARSIFAL - Proof search and reasoning with logic specifications (France)","ROMA TRE - Universit\u00e0 degli Studi Roma Tre = Roma Tre University (Via Ostiense, 133 - 00154 Rome - Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 Roma Tre, Rome, Italy","institution_ids":["https://openalex.org/I119003972"]},{"raw_affiliation_string":"PARSIFAL - Proof search and reasoning with logic specifications (France)","institution_ids":[]},{"raw_affiliation_string":"ROMA TRE - Universit\u00e0 degli Studi Roma Tre = Roma Tre University (Via Ostiense, 133 - 00154 Rome - Italy)","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106497188","display_name":"Lutz Stra\u00dfburger","orcid":"https://orcid.org/0000-0003-4661-6540"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Lutz Stra\u00dfburger","raw_affiliation_strings":["Inria Saclay, Palaiseau, France","PARSIFAL - Proof search and reasoning with logic specifications (France)","PARTOUT - Automatisation et Repr\u00e9senTation: fOndation du calcUl et de la d\u00e9ducTion (1 rue Honor\u00e9 d'Estienne d'OrvesB\u00e2timent Alan TuringCampus de l'\u00c9cole Polytechnique91120 Palaiseau  - France)","LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (Route de Saclay 91128 PALAISEAU CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360"]},{"raw_affiliation_string":"PARSIFAL - Proof search and reasoning with logic specifications (France)","institution_ids":[]},{"raw_affiliation_string":"PARTOUT - Automatisation et Repr\u00e9senTation: fOndation du calcUl et de la d\u00e9ducTion (1 rue Honor\u00e9 d'Estienne d'OrvesB\u00e2timent Alan TuringCampus de l'\u00c9cole Polytechnique91120 Palaiseau  - France)","institution_ids":["https://openalex.org/I142476485"]},{"raw_affiliation_string":"LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (Route de Saclay 91128 PALAISEAU CEDEX - France)","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3777,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84282817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"223","last_page":"240"},"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":0.9991000294685364,"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":0.9916999936103821,"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/soundness","display_name":"Soundness","score":0.7901991605758667},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7087851166725159},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.671270489692688},{"id":"https://openalex.org/keywords/sequent-calculus","display_name":"Sequent calculus","score":0.6385089159011841},{"id":"https://openalex.org/keywords/combinatorial-proof","display_name":"Combinatorial proof","score":0.6018438339233398},{"id":"https://openalex.org/keywords/proof-calculus","display_name":"Proof calculus","score":0.5273277163505554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5234817266464233},{"id":"https://openalex.org/keywords/sequent","display_name":"Sequent","score":0.5082957148551941},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4831916391849518},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4460676908493042},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4458228647708893},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.4301833510398865},{"id":"https://openalex.org/keywords/natural-deduction","display_name":"Natural deduction","score":0.36139822006225586},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32453808188438416},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32239869236946106},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2105954885482788},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08795151114463806}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.7901991605758667},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7087851166725159},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.671270489692688},{"id":"https://openalex.org/C65880906","wikidata":"https://www.wikidata.org/wiki/Q1771121","display_name":"Sequent calculus","level":3,"score":0.6385089159011841},{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.6018438339233398},{"id":"https://openalex.org/C6489637","wikidata":"https://www.wikidata.org/wiki/Q7250002","display_name":"Proof calculus","level":3,"score":0.5273277163505554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5234817266464233},{"id":"https://openalex.org/C89421646","wikidata":"https://www.wikidata.org/wiki/Q843632","display_name":"Sequent","level":2,"score":0.5082957148551941},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4831916391849518},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4460676908493042},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4458228647708893},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.4301833510398865},{"id":"https://openalex.org/C62073222","wikidata":"https://www.wikidata.org/wiki/Q1572108","display_name":"Natural deduction","level":2,"score":0.36139822006225586},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32453808188438416},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32239869236946106},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2105954885482788},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08795151114463806},{"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/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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-29026-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-29026-9_13","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"},{"id":"pmh:oai:HAL:hal-02390400v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02390400","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"TABLEAUX 2019 - 28t International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, Sep 2019, London, United Kingdom. pp.223-240, ⟨10.1007/978-3-030-29026-9_13⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02390400v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-02390400","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"TABLEAUX 2019 - 28t International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, Sep 2019, London, United Kingdom. pp.223-240, ⟨10.1007/978-3-030-29026-9_13⟩","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8901958763","display_name":"The fine structure of formal proof systems and their computational interpretations","funder_award_id":"ANR-15-CE25-0014","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W56574371","https://openalex.org/W82724731","https://openalex.org/W155894625","https://openalex.org/W207654131","https://openalex.org/W1585310225","https://openalex.org/W1598954248","https://openalex.org/W1811725859","https://openalex.org/W1966647830","https://openalex.org/W1988083342","https://openalex.org/W1995718667","https://openalex.org/W2071402192","https://openalex.org/W2074551833","https://openalex.org/W2076596727","https://openalex.org/W2082734160","https://openalex.org/W2102625227","https://openalex.org/W2106988030","https://openalex.org/W2117737141","https://openalex.org/W2132457243","https://openalex.org/W2143326093","https://openalex.org/W2160595899","https://openalex.org/W2231337787","https://openalex.org/W2406475904","https://openalex.org/W2470520559","https://openalex.org/W2488055829","https://openalex.org/W2535990237","https://openalex.org/W2758306115","https://openalex.org/W2811365892","https://openalex.org/W2913653100","https://openalex.org/W2949205883","https://openalex.org/W2953246618","https://openalex.org/W2955479224","https://openalex.org/W2964142950","https://openalex.org/W2969458924","https://openalex.org/W3106099051"],"related_works":["https://openalex.org/W4295728898","https://openalex.org/W3090765541","https://openalex.org/W4236940717","https://openalex.org/W2793983771","https://openalex.org/W2806893870","https://openalex.org/W2911183586","https://openalex.org/W2918427073","https://openalex.org/W2071146589","https://openalex.org/W2650704808","https://openalex.org/W2753667555"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-20T22:02:38.213706","created_date":"2025-10-10T00:00:00"}