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Metamathematics of First-Order Arithmetic
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SYSNO ASEP 0501039 Druh ASEP B - Monografie Zařazení RIV Záznam nebyl označen do RIV Název Metamathematics of First-Order Arithmetic Tvůrce(i) Hájek, Petr (UIVT-O) RID, SAI
Pudlák, Pavel (MU-W) RID, SAIVyd. údaje Cambridge: Cambridge University Press, 2017 ISBN 978-1-107-16841-1 Edice Perspectives in Logic Poč.str. 474 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova Computer Science ; Logic ; Categories and Sets ; Programming Languages and Applied Logic ; Mathematics Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics Vědní obor RIV – spolupráce Matematický ústav - Obecná matematika Institucionální podpora UIVT-O - RVO:67985807 ; MU-W - RVO:67985840 EID SCOPUS 85047351487 DOI 10.1017/9781316717271 Anotace Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic). © 1998 Springer-Verlag Berlin Heidelberg and © 2016 Association for Symbolic Logic under license to Cambridge University Press. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2020
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