Mathematical Logic - Exercises and Solutions (Hardcover, 1st ed. 2022)

This book gathers together a colorful set of problems on classical Mathematical Logic, selected from over 30 years of teaching. The initial chapters start with problems from supporting fields, like set theory (ultrafilter constructions), full-information game theory (strategies), automata, and recursion theory (decidability, Kleene's theorems). The work then advances toward propositional logic (compactness and completeness, resolution method), followed by first-order logic, including quantifier elimination and the Ehrenfeucht- Fraisse game; ultraproducts; and examples for axiomatizability and non-axiomatizability. The Arithmetic part covers Robinson's theory, Peano's axiom system, and Goedel's incompleteness theorems. Finally, the book touches universal graphs, tournaments, and the zero-one law in Mathematical Logic. Instructors teaching Mathematical Logic, as well as students who want to understand its concepts and methods, can greatly benefit from this work. The style and topics have been specially chosen so that readers interested in the mathematical content and methodology could follow the problems and prove the main theorems themselves, including Goedel's famous completeness and incompleteness theorems. Examples of applications on axiomatizability and decidability of numerous mathematical theories enrich this volume.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Problem Books in Mathematics
Release date:	March 2022
First published:	2022
Authors:	Laszlo Csirmaz • Zalan Gyenis
Dimensions:	254 x 178 x 28mm (L x W x T)
Format:	Hardcover
Pages:	319
Edition:	1st ed. 2022
ISBN-13:	978-3-03-079009-7
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > General
LSN:	3-03-079009-6
Barcode:	9783030790097

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