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Asked: 2026-05-21T05:40:12+00:00

I am trying to convert the following sentence to a well formed formula using

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I am trying to convert the following sentence to a well formed formula using first-order logic(Predicate logic).

All towers are of the same color.

I have defined the following predicates:

Tower(x) :: x is a tower.

Color(x, y) :: x is of color y

I am not able to convert the aforementioned sentence into a well formed formula using the above predicates. Is it possible to convert it using the above predicates or some new predicate should be required. Please advise.

EDIT: Forgot to add a detail. There are only three available colours in the world (red, green, blue). Can this detail be used. Does that make any difference to the solution?

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1 Answer

  1. Editorial Team

    There exists a Y1 such that for all X Tower(X) implies Color(X, Y1)

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