WOLFRAM|DEMONSTRATIONS PROJECT

Determine the Figures

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language of predicates
Slovenian
English
Slovenian symbolic
English symbolic
number of figures
2
3
4
5
number of one-place predicate statements
0
1
2
3
4
number of two-place predicate statements
0
1
2
3
4
number of molecular statements
0
1
2
3
4
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new problem
Determine the arrangement of objects, and find
the lowest statement that depends on the others!
1. Large (A) ⇔ ¬Small (C)
True
2. Green (C) ∧ Medium (A)
False
3. Yellow (B) ∧ ¬Square (A)
True
Given a board with figures and true or false statements about them, determine the figures.
A figure has a shape (triangle, square, pentagon), a color (yellow, orange, green), a name (
A
,
B
,
C
, …), and a size (small, medium, large).
To get a problem where the statements are independent, the number of statements should be near the number of figures.
(Note that "iff" means "if and only if".)