The 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-G�del 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.
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.
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 L�b's theorem, and of G�del's two incompleteness theorems. Finally he offers thirty-one unsolved problems in elementary number theory as challenge problems.

Recensione

` Quaife's work represents a breakthrough in automated reasoning for demonstrating that proofs of deep, well-known theorems of set theory and number theory can be mechanically derived, in a practical way, from the most elegant, simple, and general purpose foundations: set theory (a finite, first order axiomatization) and resolution (as implemented in the Otter system). '
Robert Boyer, University of Texas at Austin

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

I mainly carry imported books from South East Asia / South Asia for readers of all Age Groups.

Visita la pagina della libreria

Informazioni sull?azienda del venditore

PLETOS INC
6931 51st Avenue, WOODSIDE, Woodside, NY, 11377, U.S.A.

Condizioni di vendita e spedizione

Condizioni di vendita

We accept return for those books which are received damamged. Though we take appropriate care in packaing to avoid such situation.

Diritto di recesso

Condizioni di spedizione

Tariffe di spedizione nazionale per U.S.A.

Tariffe di spedizione nazionale per U.S.A.
Quantit� dell?ordine	Da 12 a 19 giorni lavorativi	Da 12 a 14 giorni lavorativi
Primo articolo	EUR 3.43	EUR 6.01

I tempi di consegna sono stabiliti dai venditori e variano in base al corriere e al paese. Gli ordini che devono attraversare una dogana possono subire ritardi e spetta agli acquirenti pagare eventuali tariffe o dazi associati. I venditori possono contattarti in merito ad addebiti aggiuntivi dovuti a eventuali maggiorazioni dei costi di spedizione dei tuoi articoli.