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Solution Proposal Functional Programming Sheet 6 (a) The order (B3
 

Summary: Solution Proposal Functional Programming ­ Sheet 6
Exercise 1
(a) The order (B3
, ) can be represented graphically as follows:
(B,B,B)
(T,B,B) (F,B,B)(B,T,B) (B,F,B)(B,B,T) (B,B,F)
(T,T,B) (T,F,B)(T,B,T) (T,B,F) (F,T,B) (F,F,B)(F,B,T) (F,B,F)(B,T,T) (B,T,F)(B,F,T) (B,F,F)
(T,T,T) (T,T,F)(T,F,T) (T,F,F) (F,T,T) (F,T,F)(F,F,T) (F,F,F)
Here "B" denotes "", "T" denotes "True", and "F" denotes "False". An
arrow d1 d2 denotes d1 d2.
The set B3
has |B|3
= 33
= 27 elements. 23
= 8 of these elements are maximal.
(b) The set B B3
has |B3
||B|
= 273
= 19683 elements.

  

Source: Ábrahám, Erika - Fachgruppe Informatik, Rheinisch Westfälische Technische Hochschule Aachen (RWTH)

 

Collections: Computer Technologies and Information Sciences