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Logic and Implication: An introduction to the General Algebraic Study of Non-classical Logics
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SYSNO ASEP 0524930 Druh ASEP B - Monografie Zařazení RIV B - Odborná monografie, kniha Název Logic and Implication: An introduction to the General Algebraic Study of Non-classical Logics Tvůrce(i) Cintula, Petr (UIVT-O) RID, ORCID, SAI
Noguera, Carles (UTIA-B) RID, ORCIDVyd. údaje Cham: Springer, 2021 ISBN 978-3-030-85674-8 Poč.str. 465 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. CH - Švýcarsko Klíč. slova Non-Classical Logics ; Algebraic Logic ; Abstract Algebraic Logic ; Completeness Theorems ; Logical Matrices ; Weakly Implicative Logics ; Substructural Logics ; Generalized Disjunctions ; Semilinear Logics ; First-Order Logics Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA13-14654S GA ČR - Grantová agentura ČR GA18-00113S GA ČR - Grantová agentura ČR Institucionální podpora UIVT-O - RVO:67985807 ; UTIA-B - RVO:67985556 DOI 10.1007/978-3-030-85675-5 Anotace This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to (abstract) algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions. Based on their recent work, the authors develop a powerful uniform framework for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics. The book may be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics and their algebraic semantics. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2022 Elektronická adresa https://link.springer.com/book/9783030856748
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