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      • Tailrec-input-processing

      Tailrec-process-accumulator

      Process the :accumulator input.

      Signature
      (tailrec-process-accumulator accumulator old$ r ctx state) 
        → 
      (mv erp a state)
      Arguments
      old$ — Guard (symbolp old$).
      r — Guard (symbolp r).
      Returns
      a — Type (symbolp a).

      Definitions and Theorems

      Function: tailrec-process-accumulator

      (defun tailrec-process-accumulator (accumulator old$ r ctx state)
       (declare (xargs :stobjs (state)))
       (declare (xargs :guard (and (symbolp old$) (symbolp r))))
       (let ((__function__ 'tailrec-process-accumulator))
        (declare (ignorable __function__))
        (if (eq accumulator :auto)
            (value (mbe :logic (acl2::symbol-fix r)
                        :exec r))
         (b*
          (((unless (legal-variablep accumulator))
            (er-soft+
             ctx t nil
             "The :ACCUMULATOR input must be a legal variable name,
                           but ~x0 is not a legal variable name."
             accumulator))
           (x1...xn (formals+ old$ (w state)))
           ((er &)
            (ensure-value-is-not-in-list$
                 accumulator x1...xn
                 (msg "one of the formal arguments ~&0 of ~x1"
                      x1...xn old$)
                 (msg "The :ACCUMULATOR input ~x0"
                      accumulator)
                 t nil)))
          (value accumulator)))))

      Theorem: symbolp-of-tailrec-process-accumulator.a

      (defthm symbolp-of-tailrec-process-accumulator.a
        (b* (((mv ?erp ?a acl2::?state)
              (tailrec-process-accumulator accumulator old$ r ctx state)))
          (symbolp a))
        :rule-classes :rewrite)