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• Call-graphs

Call-graph-transitive-closure0

Signature

(call-graph-transitive-closure0 ident?s call-graph called steps) 
  → 
called$

Arguments

ident?s — Guard (qualified-ident-option-setp ident?s).

call-graph — Guard (call-graphp call-graph).

called — Guard (qualified-ident-option-setp called).

Returns

called$ — Type (qualified-ident-option-setp called$).

Definitions and Theorems

Function: call-graph-transitive-closure0

(defun call-graph-transitive-closure0
       (ident?s call-graph called steps)
 (declare (type (unsigned-byte 60) steps))
 (declare (xargs :guard (and (qualified-ident-option-setp ident?s)
                             (call-graphp call-graph)
                             (qualified-ident-option-setp called))))
 (let ((__function__ 'call-graph-transitive-closure0))
  (declare (ignorable __function__))
  (b*
   (((when (or (int= 0
                     (mbe :logic
                          (if (natp (acl2::the-fixnat steps))
                              (acl2::the-fixnat steps)
                            0)
                          :exec (acl2::the-fixnat steps)))
               (emptyp ident?s)))
     (qualified-ident-option-set-fix called))
    (ident? (head ident?s))
    ((when (not ident?))
     (call-graph-transitive-closure0 (tail ident?s)
                                     call-graph (insert nil called)
                                     (- steps 1)))
    (lookup (omap::assoc ident? call-graph))
    (ident?s (if lookup (union (difference (cdr lookup) called)
                               (tail ident?s))
               (tail ident?s)))
    (called (if lookup (union (cdr lookup) called)
              called)))
   (call-graph-transitive-closure0 ident?s
                                   call-graph called (- steps 1)))))

Theorem: qualified-ident-option-setp-of-call-graph-transitive-closure0

(defthm
      qualified-ident-option-setp-of-call-graph-transitive-closure0
  (b* ((called$ (call-graph-transitive-closure0
                     ident?s call-graph called steps)))
    (qualified-ident-option-setp called$))
  :rule-classes :rewrite)