substitution instance

noun

substitution instance

noun
1

Human sciences, Logic, Mathematics, Philosophy, Sciences A well-formed formula (wff) that has a constant term in place of a variable; expressed as Q(a/x), where the resulting wff is identical to Q except that the constant a takes the place of every free occurrence of the variable x.

  • The result of substituting a term a for all free occurrences of the variable x in the formula Q is denoted by Q(a/x).1972, Alonzo Church, Introduction to Mathematical Logic, Princeton University Press, page 78:
Antonyms
generalization

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