Gyenis Zalan - Mathematical Logic Exercises And Solutions - Hardcover

Binding: Hardcover
Description: 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 - Fra ss game; ultraproducts; and examples for axiomatizability and non - axiomatizability. The Arithmetic part covers Robinson's theory Peano's axiom system and G del'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 G del's famous completeness and incompleteness theorems. Examples of applications on axiomatizability and decidability of numerous mathematical theories enrich this volume.
Title: Mathematical Logic Exercises And Solutions
Author(s): Gyenis Zalan
Publisher: Springer Nature Switzerland Ag
Barcode: 9783030790097
Pages: 319 Pages, 5 Illustrations, Black And White; Viii, 319 P. 5 Illus.
Publication Date: 3/15/2022
Series: Problem Books in Mathematics
Category: Mathematical Logic