d i g i t a l SRC Technical Note 1998-004

Substitution: Syntactic versus Semantic


Leslie Lamport

Note #1998-004, March 11, 1998

A formalism with quantifiers permits two kinds of substitution: syntactic substitution that allows the capture of bound variables and semantic substitution that does not. When quantification is explicit, all substitution can be made semantic. When quantification is implicit, as in some formalisms used to reason about programs, both types of substitution are needed.

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