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What is a ground term in first-order logic? | QuestionStock

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Logic

What is a ground term in first-order logic?

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What is a ground term in first-order logic?

Options:

A term containing no variables, built only from constants and function symbols.
A term that denotes the empty set in model theory.
A term that contains at least one function symbol and one variable.
A term that is provably equal to a constant in a theory.

Correct answer: A term containing no variables, built only from constants and function symbols.

Explanation: A ground term contains no variables and is formed from constants and function symbols only; ground terms are central to Herbrand constructions (Herbrand, c.1930).

Created 2026-03-10T18:49:49.677Z. Updated 2026-03-10T18:49:49.677Z.