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Mathematical Logic

Name: Mathematical Logic
Brand: Springer Nature Switzerland AG
SKU: 9783030790097
Price: 954 CZK
Availability: InStock

Exercises and Solutions

Autor: Laszlo Csirmaz, Zalan Gyenis

Jazyk:

Vazba: Pevná

Vydavatel: Springer Nature Switzerland AG

Dostupnost: Skladem u dodavatele

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

Informace o knize

Autor

Laszlo Csirmaz, Zalan Gyenis

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2022

Stránek

319

EAN

9783030790097

ISBN

3030790096

Enbook ID

36649953

Vydavatel

Springer Nature Switzerland AG

Hmotnost

786

Rozměry

260 x 183 x 28

Kompletní popis

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

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