{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T19:02:55Z","timestamp":1766084575226,"version":"3.37.3"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"S22","license":[{"start":{"date-parts":[[2019,9,14]],"date-time":"2019-09-14T00:00:00Z","timestamp":1568419200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,9,14]],"date-time":"2019-09-14T00:00:00Z","timestamp":1568419200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100011199","name":"FP7 Ideas: European Research Council","doi-asserted-by":"publisher","award":["313610"],"award-info":[{"award-number":["313610"]}],"id":[{"id":"10.13039\/100011199","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-14-CE30-0010"],"award-info":[{"award-number":["ANR-14-CE30-0010"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010198","name":"Ministerio de Econom\u00eda, Industria y Competitividad, Gobierno de Espa\u00f1a","doi-asserted-by":"publisher","award":["FFI2013-46451-P"],"award-info":[{"award-number":["FFI2013-46451-P"]}],"id":[{"id":"10.13039\/501100010198","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-17-EURE-0017"],"award-info":[{"award-number":["ANR-17-EURE-0017"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Synthese"],"published-print":{"date-parts":[[2021,10]]},"DOI":"10.1007\/s11229-019-02344-0","type":"journal-article","created":{"date-parts":[[2019,9,14]],"date-time":"2019-09-14T17:02:31Z","timestamp":1568480551000},"page":"5315-5352","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["From many-valued consequence to many-valued connectives"],"prefix":"10.1007","volume":"198","author":[{"given":"Emmanuel","family":"Chemla","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9114-7686","authenticated-orcid":false,"given":"Paul","family":"Egr\u00e9","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,9,14]]},"reference":[{"issue":"1","key":"2344_CR1","doi-asserted-by":"publisher","first-page":"276","DOI":"10.2307\/2274919","volume":"56","author":"A Avron","year":"1991","unstructured":"Avron, A. (1991). Natural 3-valued logics: Characterization and proof theory. The Journal of Symbolic Logic, 56(1), 276\u2013294.","journal-title":"The Journal of Symbolic Logic"},{"issue":"5","key":"2344_CR2","doi-asserted-by":"publisher","first-page":"551","DOI":"10.1007\/s10992-014-9342-6","volume":"44","author":"E Barrio","year":"2015","unstructured":"Barrio, E., Rosenblatt, L., & Tajer, D. (2015). The logics of strict-tolerant logic. Journal of Philosophical Logic, 44(5), 551\u2013571.","journal-title":"Journal of Philosophical Logic"},{"key":"2344_CR3","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1007\/978-94-010-1161-7_2","volume-title":"Modern uses of multiple-valued logic","author":"ND Belnap","year":"1977","unstructured":"Belnap, N. D. (1977). A useful four-valued logic. In M. Dunn & G. Epstein (Eds.), Modern uses of multiple-valued logic (pp. 5\u201337). Berlin: Springer."},{"key":"2344_CR4","doi-asserted-by":"publisher","first-page":"233","DOI":"10.18778\/0138-0680.46.3.4.05","volume":"46","author":"C Blasio","year":"2017","unstructured":"Blasio, C., Marcos, J., & Wansing, H. (2017). An inferentially many-valued two-dimensional notion of entailment. Bulletin of the Section of Logic, 46, 233\u2013262.","journal-title":"Bulletin of the Section of Logic"},{"issue":"4","key":"2344_CR5","doi-asserted-by":"publisher","first-page":"671","DOI":"10.1007\/s10992-012-9234-6","volume":"41","author":"D Bonnay","year":"2012","unstructured":"Bonnay, D., & Westerst\u00e5hl, D. (2012). Consequence mining: Constants versus consequence relations. Journal of Philosophical Logic, 41(4), 671\u2013709.","journal-title":"Journal of Philosophical Logic"},{"key":"2344_CR6","doi-asserted-by":"publisher","unstructured":"Chemla, E., & Egr\u00e9, P. (2019). Suszko\u2019s problem: Mixed consequence and compositionality. Review of Symbolic Logic. https:\/\/doi.org\/10.1017\/S1755020318000503.","DOI":"10.1017\/S1755020318000503"},{"issue":"7","key":"2344_CR7","first-page":"2193","volume":"27","author":"E Chemla","year":"2017","unstructured":"Chemla, E., Egr\u00e9, P., & Spector, B. (2017). Characterizing logical consequence in many-valued logic. Journal of Logic and Computation, 27(7), 2193\u20132226.","journal-title":"Journal of Logic and Computation"},{"issue":"2","key":"2344_CR8","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1007\/s10992-010-9165-z","volume":"41","author":"P Cobreros","year":"2012","unstructured":"Cobreros, P., Egr\u00e9, P., Ripley, D., & van Rooij, R. (2012). Tolerant, classical, strict. Journal of Philosophical Logic, 41(2), 347\u2013385.","journal-title":"Journal of Philosophical Logic"},{"key":"2344_CR9","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1007\/978-94-017-9673-6_21","volume-title":"Unifying the philosophy of truth","author":"P Cobreros","year":"2015","unstructured":"Cobreros, P., Egr\u00e9, P., Ripley, D., & van Rooij, R. (2015). Vagueness, truth and permissive consequence. In D. Achouriotti, H. Galinon, & J. Martinez (Eds.), Unifying the philosophy of truth (pp. 409\u2013430). Berlin: Springer."},{"key":"2344_CR10","unstructured":"Cook, R. T. (2013). How to Read Grundgesetze. Appendix to G. Frege, Basic Laws of Arithmetic, ed. by P. Ebert and M. Rossberg, with C. Wright, Oxford University Press."},{"issue":"1","key":"2344_CR11","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1305\/ndjfl\/1093957058","volume":"3","author":"E Foxley","year":"1962","unstructured":"Foxley, E. (1962). The determination of all Sheffer functions in 3-valued logic, using a logical computer. Notre Dame Journal of Formal Logic, 3(1), 41\u201350.","journal-title":"Notre Dame Journal of Formal Logic"},{"issue":"1","key":"2344_CR12","first-page":"41","volume":"33","author":"S Frankowski","year":"2004","unstructured":"Frankowski, S. (2004). Formalization of a plausible inference. Bulletin of the Section of Logic, 33(1), 41\u201352.","journal-title":"Bulletin of the Section of Logic"},{"key":"2344_CR13","doi-asserted-by":"publisher","unstructured":"French, R., & Ripley, D. (2018). Valuations: bi, tri, and tetra. Studia Logica. https:\/\/doi.org\/10.1007\/s11225-018-9837-1.","DOI":"10.1007\/s11225-018-9837-1"},{"key":"2344_CR14","unstructured":"Gentzen, G. (1935). Investigations into logical deduction. English translation in American Philosophical Quarterly, 1(4), 288\u2013306, 1964 (Original Publication in Mathematische Zeitschrift 39 (1): 176\u2013210)."},{"key":"2344_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-5300-3","volume-title":"Metamathematics of fuzzy logic","author":"P H\u00e1jek","year":"1998","unstructured":"H\u00e1jek, P. (1998). Metamathematics of fuzzy logic (Vol. 4). Berlin: Springer."},{"issue":"3","key":"2344_CR16","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/BF00427948","volume":"14","author":"RC Jeffrey","year":"1963","unstructured":"Jeffrey, R. C. (1963). On indeterminate conditionals. Philosophical Studies, 14(3), 37\u201343.","journal-title":"Philosophical Studies"},{"key":"2344_CR17","doi-asserted-by":"crossref","unstructured":"Kerkhoff, S., P\u00f6schel, R., & Schneider, F. M. (2014). A short introduction to clones. Electronic notes in theoretical computer science. In Proceedings of the workshop on algebra, coalgebra and topology (WACT 2013), Vol. 303, pp. 107 \u2013 120.","DOI":"10.1016\/j.entcs.2014.02.006"},{"key":"2344_CR18","unstructured":"\u0141ukasiewicz, J. (1920). On three-valued logic. English translation in J. \u0141ukasiewicz, Selected Works, L. Borkowski ed., 1970. (Original Publication in Ruch Filosoficzny, 5, 70\u201371)."},{"key":"2344_CR19","first-page":"49","volume":"24","author":"G Malinowski","year":"1990","unstructured":"Malinowski, G. (1990). Q-consequence operation. Reports on Mathematical Logic, 24, 49\u201354.","journal-title":"Reports on Mathematical Logic"},{"issue":"5","key":"2344_CR20","doi-asserted-by":"publisher","first-page":"883","DOI":"10.1007\/s11225-014-9597-5","volume":"103","author":"H Omori","year":"2015","unstructured":"Omori, H., & Sano, K. (2015). Generalizing functional completeness in Belnap\u2013Dunn logic. Studia Logica, 103(5), 883\u2013917.","journal-title":"Studia Logica"},{"key":"2344_CR21","first-page":"8","volume":"15","author":"W Pogorzelski","year":"1964","unstructured":"Pogorzelski, W. (1964). The deduction theorem for \u0141ukasiewicz many-valued propositional calculi. Studia Logica, 15, 8\u201319.","journal-title":"Studia Logica"},{"key":"2344_CR22","doi-asserted-by":"crossref","unstructured":"Priest, G. (1979). The logic of paradox. Journal of Philosophical logic, 8(1), 219\u2013241.","DOI":"10.1007\/BF00258428"},{"key":"2344_CR23","doi-asserted-by":"crossref","unstructured":"Scott, D. (1974). Completeness and axiomatizability in many-valued logic. In Proceedings of the Tarski symposium, Vol. 25, American Mathematical Society, Providence, pp. 411\u2013436.","DOI":"10.1090\/pspum\/025\/0363802"},{"key":"2344_CR24","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511565687","volume-title":"Multiple-conclusion logic","author":"DJ Shoesmith","year":"1978","unstructured":"Shoesmith, D. J., & Smiley, T. J. (1978). Multiple-conclusion logic. Cambridge: CUP Archive."},{"key":"2344_CR25","series-title":"Trends in logic","volume-title":"Truth and falsehood: An inquiry into generalized logical values","author":"Y Shramko","year":"2011","unstructured":"Shramko, Y., & Wansing, H. (2011). Truth and falsehood: An inquiry into generalized logical values (Vol. 36)., Trends in logic Berlin: Springer."},{"issue":"3","key":"2344_CR26","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1007\/s10992-010-9153-3","volume":"40","author":"F Steinberger","year":"2011","unstructured":"Steinberger, F. (2011). Why conclusions should remain single. Journal of Philosophical Logic, 40(3), 333\u2013355.","journal-title":"Journal of Philosophical Logic"},{"issue":"4","key":"2344_CR27","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/BF02120672","volume":"36","author":"R Suszko","year":"1977","unstructured":"Suszko, R. (1977). The Fregean axiom and Polish mathematical logic in the 1920s. Studia Logica, 36(4), 377\u2013380.","journal-title":"Studia Logica"},{"issue":"3","key":"2344_CR28","doi-asserted-by":"publisher","first-page":"503","DOI":"10.1007\/s11225-015-9649-5","volume":"104","author":"S Wintein","year":"2016","unstructured":"Wintein, S. (2016). On all strong Kleene generalizations of classical logic. Studia Logica, 104(3), 503\u2013545.","journal-title":"Studia Logica"}],"container-title":["Synthese"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11229-019-02344-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11229-019-02344-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11229-019-02344-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,3]],"date-time":"2021-11-03T20:08:10Z","timestamp":1635970090000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11229-019-02344-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,14]]},"references-count":28,"journal-issue":{"issue":"S22","published-print":{"date-parts":[[2021,10]]}},"alternative-id":["2344"],"URL":"https:\/\/doi.org\/10.1007\/s11229-019-02344-0","relation":{},"ISSN":["0039-7857","1573-0964"],"issn-type":[{"type":"print","value":"0039-7857"},{"type":"electronic","value":"1573-0964"}],"subject":[],"published":{"date-parts":[[2019,9,14]]},"assertion":[{"value":"23 August 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 July 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 September 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}