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Terra_Banana

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Mar 19th, 2018
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  1. Exercice 1.1:
  2.  
  3. E1 = {f(Y, g(V), g(a) + V); f(Z, g(g(b)), X + g(b))}, X, Y, V variables.
  4. V -> g(b)
  5. X -> g(a)
  6. Y -> Z
  7.  
  8. E2 = {f(a, g(V), X + V); f(a, g(g(V)), g(a) + g(b))}, X, V variables.
  9. Pas possible:
  10. V -> g(V)
  11.  
  12. E3 = {f([X|[X|R]]); f([a, a, b])} X, R variables
  13. X -> a
  14. R -> [b]
  15.  
  16. E4 = {couleur(X); couleur([Z|[a|T]])}, X, Z, T variables.
  17. X -> [Z|[a|T]]
  18.  
  19. E5 = {f(g(k(b)), y), f(y, g(x))}, x, y variables.
  20. y -> g(k(b))
  21. y -> g(x)
  22. x -> k(b)
  23.  
  24. E6 = {(f(y, k(y), g(x)), f(k(x), k(y), y))}, x, y variables.
  25. Pas possible:
  26. y -> k(x)
  27. y -> g(x)
  28.  
  29. E7 = {f(x, y) = f(u, v); x = g(y); y = g(z); u = g(t); t = g(w)}, pas de constantes, que des variables.
  30. x = u = g(t) = g(y)
  31. y = v = g(z)
  32. t = g(w)
  33.  
  34. E8 = {(f(g(x), x), f(y, g(z))); (g(x), y)}, x, y, z variables.
  35. Pas possible
  36. f(g(x), x) = g(x)
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