Mathematical Logic

Name: Mathematical Logic
Brand: Springer Nature Switzerland AG
SKU: 9783030790097
Price: 217.6 RON
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Exercises and Solutions

Autor: Laszlo Csirmaz, Zalan Gyenis

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Editura: Springer Nature Switzerland AG

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This book gathers together a colorful set of problems on classical Mathematical Logic, selected from...

Informații despre carte

Autor

Laszlo Csirmaz, Zalan Gyenis

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2022

Pagini

319

EAN

9783030790097

ISBN

3030790096

Enbook ID

36649953

Editura

Springer Nature Switzerland AG

Greutate

786

Dimensiuni

260 x 183 x 28

Descriere completă

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- Fraïssé game; ultraproducts; and examples for axiomatizability and non-axiomatizability. The Arithmetic part covers Robinson's theory, Peano's axiom system, and Gödel'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 Gödel's famous completeness and incompleteness theorems. Examples of applications on axiomatizability and decidability of numerous mathematical theories enrich this volume.

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Mathematical Logic

Exercises and Solutions

Informații despre carte

Descriere completă

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