Is this the correct use of the word programmatic?

I have run into a programmatic problem with your computer software.

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Yes there is: programmatic - Definitions from Dictionary.com

The above, referenced link and subsequent information about possible definitions is good! But, whether the use of the word is correct would depend upon the specific problem that a person might be having with the computer software.

What kind of problem is it to which you are referring, please?

Thanks!