Biblioteca Matisse

A Biblioteca Matisse lista recursos úteis relacionados com metodologia matemática e resolução de problemas algorítmicos. Também disponibiliza ligações para outras páginas e para pessoas envolvidas nesta área.

Livros

  • Predicate Calculus and Program Semantics, Edsger W. Dijkstra and Carel S. Scholten
    ( ACM link , Amazon link )

  • Program Construction (International Summer School), Edsger W. Dijkstra and David Gries, LNCS Springer
    E-book link

Artigos e Notas

Documentos com nome EWDxxx, onde xxx é um número natural positivo, são notas escritas por Edsger W. Dijkstra. Da mesma forma, temos:

Metodologia Matemática

Documentos introdutórios

Os seguintes documentos introduzem alguns dos princípios e técnicas que defendemos:

  • Mathematics and Programming. A Revolution in the Art of Effective Reasoning, Roland Backhouse, Inaugural lecture, School of Computer Science and IT, University of Nottingham, 24th October 2001.
  • EWD619 - Essays on the nature and role of mathematical elegance (1) (HTML, PDF)
  • EWD641 - On the interplay between mathematics and programming (HTML, PDF)
  • EWD655 - Essays on the nature and role of mathematical elegance (3): On notation (A sequel to EWD619) (HTML, PDF)
  • EWD1059 - 0 Preface (Mathematical Methodology) (HTML, PDF)
  • EWD1063 - An introductory example (Mathematical Methodology) (PDF)
  • EWD1067 - A very first introductory example (Mathematical Methodology) (HTML, PDF)
  • The Calculational Method, Information Processing Letters, Volume 53, Issue 3, 10 February 1995, Page 121

Notações e Formatos de Prova

  • EWD1068 - On the quality criteria for mathematical writing (Mathematical Methodology) (HTML, PDF)
  • EWD999 - Our proof format (PDF)
  • EWD1070 - For brevity's sake (Mathematical Methodology) (HTML, PDF)
  • EWD1300 - The notational conventions I adopted, and why (HTML, PDF)

Vários Exemplos

  • Exercises in Quantifier Manipulation, Roland Backhouse and Diethard Michaelis, In Mathematics of Program Construction 2006, Tarmo Uustalu (Ed.), Springer-Verlag, LNCS 4014, pp. 70--81 © Springer-Verlag

  • Galois Connections and Logical Relations, Kevin Backhouse and Roland Backhouse, Int. Conf. on Mathematics of Program Construction, Dagstuhl, Germany, July 2002. Springer Verlag LNCS 2386, pp. 23--39. © Springer-Verlag

  • Fixed Point Calculus, Roland Backhouse, Presented at the Summer School and Workshop on Algebraic and Coalgebraic Methods in the Mathematics of Program Construction, Oxford, April 11--14, 2000.

  • JAW44 - Different types of symbol dynamics for Leibniz and monotonicity (PDF)

  • JFF0 - Distributivity and the greatest common divisor (PDF)

Resolução de Problemas Algorítmicos

Pessoas (ordem alfabética, por apelido)

Lista de pessoas interessadas em metodologia matematica e, em particular, no metodo calculacional.

Palestras e seminários

Ferramentas

Outras Páginas

-- JoaoFerreira - 10 Apr 2008