Počet záznamů: 1
Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science
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SYSNO ASEP 0488936 Druh ASEP M - Kapitola v monografii Zařazení RIV C - Kapitola v knize Název Assertional logics, truth-equational logics, and the hierarchies of abstract algebraic logic Tvůrce(i) Albuquerque, H. (ES)
Font, J.M. (ES)
Jansana, R. (ES)
Moraschini, Tommaso (UIVT-O) SAI, RIDZdroj.dok. Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science. - Cham : Springer, 2018 / Czelakowski J. - ISSN 2211-2758 - ISBN 978-3-319-74771-2 Rozsah stran s. 53-79 Poč.str. 27 s. Poč.str.knihy 454 Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. CH - Švýcarsko Klíč. slova Abstract algebraic logic ; Leibniz hierarchy ; Frege hierarchy ; truth-equational logics ; assertional logics ; Fregean logics ; full generalized models ; unital matrices Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics Institucionální podpora UIVT-O - RVO:67985807 DOI 10.1007/978-3-319-74772-9_2 Anotace We establish some relations between the class of truth-equational logics, the class of assertional logics, other classes in the Leibniz hierarchy, and the classes in the Frege hierarchy. We argue that the class of assertional logics belongs properly in the Leibniz hierarchy. We give two new characterizations of truth-equational logics in terms of their full generalized models, and use them to obtain further results on the internal structure of the Frege hierarchy and on the relations between the two hierarchies. Some of these results and several counter examples contribute to answer a few open problems in abstract algebraic logic, and open a new one. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2019 Elektronická adresa https://link.springer.com/book/10.1007/978-3-319-74772-9
Počet záznamů: 1