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What is a ground term?

  • A.A term appearing at the leaves of a parse tree
  • B.A term that has been assigned a value by an interpretation
  • C.A term containing no variables
  • D.A term denoting a physical object rather than an abstraction

Answer: C

Ground terms are built from constants and function symbols alone, so they denote a definite object in every interpretation without any variable assignment. The Herbrand universe consists of exactly these. Physical reference, parse position and assignment are different notions. Distinguishing expressions whose meaning depends on a variable assignment from those whose does not is what makes the semantics of quantification statable. Reading the definition literally, rather than recalling a formula, is the reliable route through questions of this shape.

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