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    • Svmods

    Svar-add-namespace

    Add a namespace to a variable so that it can be referenced from a lower hierarchy level.

    Signature
    (svar-add-namespace namespace x) → x
    Arguments
    namespace — Guard (name-p namespace).
    x — Guard (svar-p x).
    Returns
    x — Type (and (svar-p x) (svar-addr-p x)).

    If the scope modifier of the address is :root, then we don't add the namespace. If the scope modifier is positive, we decrement it instead of adding the namespace.

    Definitions and Theorems

    Function: svar-add-namespace

    (defun svar-add-namespace (namespace x)
     (declare (xargs :guard (and (name-p namespace) (svar-p x))))
     (declare (xargs :guard (svar-addr-p x)))
     (let ((__function__ 'svar-add-namespace))
      (declare (ignorable __function__))
      (b*
       (((svar x) (svar-addr-fix x))
        ((address x.name))
        ((when (eq x.name.scope :root))
         (mbe :logic (change-svar x
                                  :name (change-address x.name))
              :exec x))
        (new-addr
          (if
           (eql 0 x.name.scope)
           (change-address x.name
                           :path (make-path-scope :namespace namespace
                                                  :subpath x.name.path))
           (change-address x.name
                           :scope (1- x.name.scope)))))
       (change-svar x :name new-addr))))

    Theorem: return-type-of-svar-add-namespace

    (defthm return-type-of-svar-add-namespace
      (b* ((x (svar-add-namespace namespace x)))
        (and (svar-p x) (svar-addr-p x)))
      :rule-classes :rewrite)

    Theorem: svar-add-namespace-of-name-fix-namespace

    (defthm svar-add-namespace-of-name-fix-namespace
      (equal (svar-add-namespace (name-fix namespace)
                                 x)
             (svar-add-namespace namespace x)))

    Theorem: svar-add-namespace-name-equiv-congruence-on-namespace

    (defthm svar-add-namespace-name-equiv-congruence-on-namespace
      (implies (name-equiv namespace namespace-equiv)
               (equal (svar-add-namespace namespace x)
                      (svar-add-namespace namespace-equiv x)))
      :rule-classes :congruence)

    Theorem: svar-add-namespace-of-svar-fix-x

    (defthm svar-add-namespace-of-svar-fix-x
      (equal (svar-add-namespace namespace (svar-fix x))
             (svar-add-namespace namespace x)))

    Theorem: svar-add-namespace-svar-equiv-congruence-on-x

    (defthm svar-add-namespace-svar-equiv-congruence-on-x
      (implies (svar-equiv x x-equiv)
               (equal (svar-add-namespace namespace x)
                      (svar-add-namespace namespace x-equiv)))
      :rule-classes :congruence)