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What is the method for composing the iota descriptor in Coq?

asked 2023-06-30 18:41:39 +0000

lakamha gravatar image

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answered 2023-06-30 18:50:02 +0000

nofretete gravatar image

The method for composing the iota descriptor in Coq involves using the "iota" construct to define a term that satisfies a given predicate. The syntax for the iota construct is:

iota x : A, P x

Where x is a variable of type A, and P is a predicate over A. The result of this expression is a term t such that P t is true, and for any other term u such that P u is true, u is equal to t.

For example, if we have the predicate even : nat -> bool that returns true if a given natural number is even, we can define the iota descriptor for the even numbers as:

iota n : nat, even n = true

This will return the smallest even number, and any other even number that satisfies the predicate will be equal to it.

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Asked: 2023-06-30 18:41:39 +0000

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Last updated: Jun 30 '23