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Metamathematics of First-Order Arithmetic

SYSNO ASEP	0501039
Document Type	B - Monograph
R&D Document Type	The record was not marked in the RIV
Title	Metamathematics of First-Order Arithmetic
Author(s)	Hájek, Petr (UIVT-O)_{RID, SAI} Pudlák, Pavel (MU-W)_{RID, SAI}
Issue data	Cambridge: Cambridge University Press, 2017
ISBN	978-1-107-16841-1
Series	Perspectives in Logic
Number of pages	474 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	Computer Science ; Logic ; Categories and Sets ; Programming Languages and Applied Logic ; Mathematics
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
Subject RIV - cooperation	Mathematical Institute - General Mathematics
Institutional support	UIVT-O - RVO:67985807 ; MU-W - RVO:67985840
EID SCOPUS	85047351487
DOI	10.1017/9781316717271
Annotation	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.
Workplace	Institute of Computer Science
Contact	Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
Year of Publishing	2020

Number of the records: 1