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Xlation-governing-entries-paddrs-for-pml4-table

Signature

(xlation-governing-entries-paddrs-for-pml4-table 
     lin-addr pml4-base-addr x86) 
 
  → 
*

Definitions and Theorems

Function: xlation-governing-entries-paddrs-for-pml4-table

(defun xlation-governing-entries-paddrs-for-pml4-table
       (lin-addr pml4-base-addr x86)
 (declare (xargs :stobjs (x86)))
 (declare (type (signed-byte 48) lin-addr)
          (type (unsigned-byte 52)
                pml4-base-addr))
 (declare
      (xargs :guard (and (not (app-view x86))
                         (canonical-address-p lin-addr)
                         (equal (loghead 12 pml4-base-addr) 0))))
 (let
  ((__function__ 'xlation-governing-entries-paddrs-for-pml4-table))
  (declare (ignorable __function__))
  (b* ((pml4-entry-addr
            (pml4-table-entry-addr lin-addr pml4-base-addr))
       (pml4-entry (rm-low-64 pml4-entry-addr x86))
       (pml4te-ps? (equal (page-size pml4-entry) 1))
       ((when pml4te-ps?)
        (addr-range 8 pml4-entry-addr))
       (ptr-table-base-addr (ash (ia32e-pml4ebits->pdpt pml4-entry)
                                 12))
       (ptr-table-addresses (xlation-governing-entries-paddrs-for-page-dir-ptr-table
                                 lin-addr ptr-table-base-addr x86)))
    (append (addr-range 8 pml4-entry-addr)
            ptr-table-addresses))))

Theorem: xlation-governing-entries-paddrs-for-pml4-table-and-xw-not-mem

(defthm
     xlation-governing-entries-paddrs-for-pml4-table-and-xw-not-mem
  (implies (and (not (equal fld :mem))
                (not (equal fld :app-view)))
           (equal (xlation-governing-entries-paddrs-for-pml4-table
                       lin-addr
                       base-addr (xw fld index value x86))
                  (xlation-governing-entries-paddrs-for-pml4-table
                       lin-addr
                       base-addr (double-rewrite x86)))))

Theorem: xlation-governing-entries-paddrs-for-pml4-table-and-xw-mem-not-member

(defthm
 xlation-governing-entries-paddrs-for-pml4-table-and-xw-mem-not-member
 (implies (not (member-p index
                         (xlation-governing-entries-paddrs-for-pml4-table
                              lin-addr
                              base-addr (double-rewrite x86))))
          (equal (xlation-governing-entries-paddrs-for-pml4-table
                      lin-addr
                      base-addr (xw :mem index value x86))
                 (xlation-governing-entries-paddrs-for-pml4-table
                      lin-addr
                      base-addr (double-rewrite x86)))))

Theorem: ia32e-la-to-pa-pml4-table-values-and-xw-mem-not-member

(defthm ia32e-la-to-pa-pml4-table-values-and-xw-mem-not-member
 (implies
     (and (not (member-p index
                         (xlation-governing-entries-paddrs-for-pml4-table
                              lin-addr
                              base-addr (double-rewrite x86))))
          (physical-address-p base-addr)
          (equal (loghead 12 base-addr) 0)
          (canonical-address-p lin-addr))
     (and (equal (mv-nth 0
                         (ia32e-la-to-pa-pml4-table
                              lin-addr base-addr wp smep
                              smap ac nxe implicit-supervisor-access
                              r-w-x cpl (xw :mem index value x86)))
                 (mv-nth 0
                         (ia32e-la-to-pa-pml4-table
                              lin-addr base-addr wp smep
                              smap ac nxe implicit-supervisor-access
                              r-w-x cpl (double-rewrite x86))))
          (equal (mv-nth 1
                         (ia32e-la-to-pa-pml4-table
                              lin-addr base-addr wp smep
                              smap ac nxe implicit-supervisor-access
                              r-w-x cpl (xw :mem index value x86)))
                 (mv-nth 1
                         (ia32e-la-to-pa-pml4-table
                              lin-addr base-addr wp smep
                              smap ac nxe implicit-supervisor-access
                              r-w-x cpl (double-rewrite x86)))))))