{"product_id":"9780792320210","title":"Automated Reasoning Series","description":"\u003ch1\u003eAutomated Reasoning Series\u003c\/h1\u003e \u003ch2\u003eQuaife, Art\u003c\/h2\u003e \u003cp\u003eThe author provides an introduction to automated reasoning, and  in particular to resolution theorem proving using the prover OTTER. He  presents a new clausal version of von Neumann-Bernays-Gödel set  theory, and lists over 400 theorems proved semiautomatically in  elementary set theory. He presents a semiautomated proof that the  composition of homomorphisms is a homomorphism, thus solving a  challenge problem. \u003cbr\u003e  The author next develops Peano's arithmetic, and gives more than 1200  definitions and theorems in elementary number theory. He gives part of  the proof of the fundamental theorem of arithmetic (unique  factorization), and gives and OTTER-generated proof of Euler's  generalization of Fermat's theorem. \u003cbr\u003e  Next he develops Tarski's geometry within OTTER. He obtains proofs of  most of the challenge problems appearing in the literature, and offers  further challenges. He then formalizes the modal logic calculus K4, in  order to obtain very high level automated proofs of Löb's  theorem, and of Gödel's two incompleteness theorems. Finally he  offers thirty-one unsolved problems in elementary number theory as  challenge problems. \u003cbr\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1992-11-30\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780792320210\u003c\/p\u003e \u003cp\u003eDOI: \u003c\/p\u003e \u003cp\u003eDimensions: 234cm x156cm\u003c\/p\u003e \u003cp\u003ePages: 273\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":46541402210444,"sku":"9780792320210","price":215.1,"currency_code":"USD","in_stock":true}],"url":"https:\/\/lateknightbooks.com\/products\/9780792320210","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}