{"product_id":"mathematical-logic-laszlo-csirmaz-9783030790127","title":"Mathematical Logic: Exercises and Solutions","description":"\u003cp\u003eThis 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.\u003c\/p\u003e 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.\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Laszlo Csirmaz, Zalán Gyenis\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3030790126\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783030790127\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/16\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 319\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.26lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 10.00h x 7.00w x 0.69d","brand":"Laszlo Csirmaz","offers":[{"title":"Paperback","offer_id":44131408576767,"sku":"9783030790127","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_b27cd0a1-bef7-4e07-b497-173e04f1d770.jpg?v=1687474382","url":"https:\/\/www.whiterainbookhouse.com\/products\/mathematical-logic-laszlo-csirmaz-9783030790127","provider":"WR Book House","version":"1.0","type":"link"}