Fundamentos de L Gica E Teoria Da Computa O by Am Lcar Sernadas
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Fundamentos de L Gica E Teoria Da Computa O

Fundamentos de L Gica E Teoria Da Computa O


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International Edition


About the Book

O livro faculta uma introdução autossuficiente à lógica matemática e à teoria da computabilidade para alunos de matemática ou de ciência da computação. Está organizado em três partes à volta dos sucessos e fracassos do programa de Hilbert de formalização da Matemática. A Parte I aborda a questão da formalização e a computabilidade. A Parte II apresenta a lógica de primeira ordem, incluindo o teorema da completude de Gödel e o teorema da coerência de Gentzen. A Parte III está focada na aritmética, na representabilidade de aplicações computáveis, nos teoremas da incompletude de Gödel e na decidibilidade da aritmética de Presburger. A Parte IV inclui respostas detalhadas a exercícios selecionados. Um curso de graduação poderá ser baseado nas duas primeiras partes, excluindo o cálculo de Gentzen e terminando com uma panorâmica do caminho para o primeiro teorema da incompletude. Num curso mais avançado poder-se-á suprimir o material introdutório já do conhecimento dos alunos e estabelecer os resultados positivos e negativos do programa de Hilbert, abordando, desta forma, a demonstração da coerência proposta por Gentzen e a Parte III na íntegra. Esta segunda edição alargada também incorpora as correções e muitas revisões pontuais do texto preparadas desde a sua publicação original.


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Product Details
  • ISBN-13: 9781848900813
  • Publisher: College Publications
  • Publisher Imprint: College Publications
  • Height: 234 mm
  • No of Pages: 356
  • Series Title: Portuguese
  • Weight: 548 gr
  • ISBN-10: 1848900813
  • Publisher Date: 16 Aug 2012
  • Binding: Paperback
  • Language: Portuguese
  • Returnable: N
  • Spine Width: 19 mm
  • Width: 156 mm


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