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Svar-indexed->named-memo

Signature

(svar-indexed->named-memo x scope moddb indnamememo) 
  → 
(mv xx indnamememo1)

Arguments

x — Guard (svar-p x).

scope — Guard (modscope-p scope).

moddb — Guard (moddb-ok moddb).

Returns

xx — Type (and (svar-p xx) (svar-addr-p xx)).

indnamememo1 — Type (equal (len indnamememo1) (len indnamememo)).

Definitions and Theorems

Function: svar-indexed->named-memo

(defun svar-indexed->named-memo (x scope moddb indnamememo)
 (declare (xargs :stobjs (moddb indnamememo)))
 (declare (xargs :guard (and (svar-p x)
                             (modscope-p scope)
                             (moddb-ok moddb))))
 (declare
   (xargs
        :guard
        (and (modscope-okp scope moddb)
             (svar-boundedp x (modscope-local-bound scope moddb)))))
 (let ((__function__ 'svar-indexed->named-memo))
  (declare (ignorable __function__))
  (b*
   ((idx (lnfix (svar-index x)))
    (in-bounds (< idx (indnames-length indnamememo)))
    (look (and in-bounds
               (get-indname idx indnamememo)))
    ((when (and look
                (svar-addr-p (indname-result->varname look))))
     (mv (indname-result->varname look)
         indnamememo))
    ((mv name wire)
     (moddb-wireidx->path/decl idx (modscope->modidx scope)
                               moddb))
    (res (address->svar (make-address :path name)))
    (indnamememo
        (if in-bounds (set-indname idx
                                   (make-indname-result :varname res
                                                        :decl wire)
                                   indnamememo)
          indnamememo)))
   (mv res indnamememo))))

Theorem: return-type-of-svar-indexed->named-memo.xx

(defthm return-type-of-svar-indexed->named-memo.xx
  (b* (((mv ?xx ?indnamememo1)
        (svar-indexed->named-memo x scope moddb indnamememo)))
    (and (svar-p xx) (svar-addr-p xx)))
  :rule-classes :rewrite)

Theorem: return-type-of-svar-indexed->named-memo.indnamememo1

(defthm return-type-of-svar-indexed->named-memo.indnamememo1
  (b* (((mv ?xx ?indnamememo1)
        (svar-indexed->named-memo x scope moddb indnamememo)))
    (equal (len indnamememo1)
           (len indnamememo)))
  :rule-classes :rewrite)

Theorem: svar-indexed->named-memo-of-svar-fix-x

(defthm svar-indexed->named-memo-of-svar-fix-x
  (equal (svar-indexed->named-memo (svar-fix x)
                                   scope moddb indnamememo)
         (svar-indexed->named-memo x scope moddb indnamememo)))

Theorem: svar-indexed->named-memo-svar-equiv-congruence-on-x

(defthm svar-indexed->named-memo-svar-equiv-congruence-on-x
 (implies
   (svar-equiv x x-equiv)
   (equal
        (svar-indexed->named-memo x scope moddb indnamememo)
        (svar-indexed->named-memo x-equiv scope moddb indnamememo)))
 :rule-classes :congruence)

Theorem: svar-indexed->named-memo-of-modscope-fix-scope

(defthm svar-indexed->named-memo-of-modscope-fix-scope
  (equal (svar-indexed->named-memo x (modscope-fix scope)
                                   moddb indnamememo)
         (svar-indexed->named-memo x scope moddb indnamememo)))

Theorem: svar-indexed->named-memo-modscope-equiv-congruence-on-scope

(defthm svar-indexed->named-memo-modscope-equiv-congruence-on-scope
 (implies
   (modscope-equiv scope scope-equiv)
   (equal
        (svar-indexed->named-memo x scope moddb indnamememo)
        (svar-indexed->named-memo x scope-equiv moddb indnamememo)))
 :rule-classes :congruence)

Theorem: svar-indexed->named-memo-of-moddb-fix-moddb

(defthm svar-indexed->named-memo-of-moddb-fix-moddb
  (equal (svar-indexed->named-memo x scope (moddb-fix moddb)
                                   indnamememo)
         (svar-indexed->named-memo x scope moddb indnamememo)))

Theorem: svar-indexed->named-memo-moddb-equiv-congruence-on-moddb

(defthm svar-indexed->named-memo-moddb-equiv-congruence-on-moddb
 (implies
   (moddb-equiv moddb moddb-equiv)
   (equal
        (svar-indexed->named-memo x scope moddb indnamememo)
        (svar-indexed->named-memo x scope moddb-equiv indnamememo)))
 :rule-classes :congruence)