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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)