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

Fundamentos de L Gica E Teoria Da Computa O

by Am Lcar Sernadas , Cristina Sernadas
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Book cover type: Paperback
  • ISBN13: 9781848900813
  • Binding: Paperback
  • Subject: N/A
  • Publisher: College Publications
  • Publisher Imprint: College Publications
  • Publication Date:
  • Pages: 356
  • Original Price: GBP 16.0
  • Language: Portuguese
  • Edition: N/A
  • Item Weight: 499 grams
  • BISAC Subject(s): Logic

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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