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• Ubdd-constructors

Q-compose-list

(q-compose-list xs l) composes each UBDD in xs with the list of UBDDs l, i.e., it maps q-compose across xs.

Definitions and Theorems

Function: q-compose-list

(defun q-compose-list (xs l)
  (declare (xargs :guard t))
  (if (atom xs)
      nil
    (cons (q-compose (car xs) l)
          (q-compose-list (cdr xs) l))))

Theorem: q-compose-list-when-not-consp

(defthm q-compose-list-when-not-consp
  (implies (not (consp xs))
           (equal (q-compose-list xs l) nil)))

Theorem: q-compose-list-of-cons

(defthm q-compose-list-of-cons
  (equal (q-compose-list (cons x xs) l)
         (cons (q-compose x l)
               (q-compose-list xs l))))

Theorem: ubdd-listp-of-q-compose-list

(defthm ubdd-listp-of-q-compose-list
  (implies (and (force (ubdd-listp xs))
                (force (ubdd-listp l)))
           (equal (ubdd-listp (q-compose-list xs l))
                  t)))