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• Pure-expression-execution

Induct-exec-expr-of-pure

Induction scheme for exec-expr applied to a pure expression.

Signature

(induct-exec-expr-of-pure expr limit) → *

Arguments

expr — Guard (exprp expr).

limit — Guard (natp limit).

This concerns both the expression structure and the limit.

Definitions and Theorems

Function: induct-exec-expr-of-pure

(defun induct-exec-expr-of-pure (expr limit)
 (declare (xargs :guard (and (exprp expr) (natp limit))))
 (expr-case
      expr
      :ident nil
      :const nil
      :arrsub (list (induct-exec-expr-of-pure expr.arr (1- limit))
                    (induct-exec-expr-of-pure expr.sub (1- limit)))
      :member (induct-exec-expr-of-pure expr.target (1- limit))
      :memberp (induct-exec-expr-of-pure expr.target (1- limit))
      :unary (induct-exec-expr-of-pure expr.arg (1- limit))
      :cast (induct-exec-expr-of-pure expr.arg (1- limit))
      :binary (list (induct-exec-expr-of-pure expr.arg1 (1- limit))
                    (induct-exec-expr-of-pure expr.arg2 (1- limit)))
      :cond (list (induct-exec-expr-of-pure expr.test (1- limit))
                  (induct-exec-expr-of-pure expr.then (1- limit))
                  (induct-exec-expr-of-pure expr.else (1- limit)))
      :otherwise nil))