• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
    • X86isa
      • Program-execution
      • Sdm-instruction-set-summary
      • Tlb
      • Booting-linux
      • Introduction
      • Asmtest
      • X86isa-build-instructions
      • Publications
      • Contributors
      • Machine
        • X86isa-state
        • Syscalls
        • Cpuid
        • Linear-memory
        • Rflag-specifications
        • Characterizing-undefined-behavior
        • Top-level-memory
        • App-view
          • Linear-memory-in-app-view
            • Canonical-address-p
            • Rvm512
            • Rvm32
            • Rvm256
            • Wvm32
            • Rvm128
            • Rvm80
            • Rvm64
            • Rvm48
            • Wvm512
            • Wvm64
            • Wvm48
            • Wvm256
            • Wvm128
            • Rvm16
            • Wvm80
            • Wvm16
            • Rvm08
            • Wvm08
        • X86-decoder
        • Physical-memory
        • Decoding-and-spec-utils
        • Instructions
        • Register-readers-and-writers
        • X86-modes
        • Segmentation
        • Other-non-deterministic-computations
        • Environment
        • Paging
      • Implemented-opcodes
      • To-do
      • Proof-utilities
      • Peripherals
      • Model-validation
      • Modelcalls
      • Concrete-simulation-examples
      • Utils
      • Debugging-code-proofs
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Linear-memory-in-app-view

Rvm256

Signature

(rvm256 addr x86) → (mv * * x86)

Definitions and Theorems

Function: rvm256$inline

(defun rvm256$inline (addr x86)
  (declare (xargs :stobjs (x86)))
  (declare (type (signed-byte 48) addr))
  (if (mbt (canonical-address-p addr))
      (let* ((16+addr (the (signed-byte 49)
                           (+ 16 (the (signed-byte 48) addr))))
             (31+addr (the (signed-byte 49)
                           (+ 31 (the (signed-byte 48) addr)))))
        (if (mbe :logic (canonical-address-p 31+addr)
                 :exec (< (the (signed-byte 49) 31+addr)
                          140737488355328))
            (b* (((mv flg0 (the (unsigned-byte 128) oword0)
                      x86)
                  (rvm128 addr x86))
                 ((mv flg1 (the (unsigned-byte 128) oword1)
                      x86)
                  (rvm128 16+addr x86))
                 ((the (unsigned-byte 256) xword)
                  (the (unsigned-byte 256)
                       (logior (the (unsigned-byte 256)
                                    (ash oword1 128))
                               oword0))))
              (mbe :logic
                   (if (or flg0 flg1)
                       (mv 'rvm256 0 x86)
                     (mv nil xword x86))
                   :exec (mv nil xword x86)))
          (mv 'rvm256 0 x86)))
    (mv 'rvm256 0 x86)))

Theorem: rvm256-no-error

(defthm rvm256-no-error
  (implies (and (canonical-address-p addr)
                (canonical-address-p (+ 31 addr)))
           (equal (mv-nth 0 (rvm256 addr x86))
                  nil)))

Theorem: n256p-mv-nth-1-rvm256

(defthm n256p-mv-nth-1-rvm256
 (unsigned-byte-p 256 (mv-nth 1 (rvm256 addr x86)))
 :rule-classes
 (:rewrite
  (:type-prescription
      :corollary (natp (mv-nth 1 (rvm256 addr x86)))
      :hints
      (("Goal" :in-theory '(unsigned-byte-p integer-range-p natp))))
  (:linear
   :corollary
   (and
    (<= 0 (mv-nth 1 (rvm256 addr x86)))
    (<
     (mv-nth 1 (rvm256 addr x86))
     115792089237316195423570985008687907853269984665640564039457584007913129639936))
   :hints
   (("Goal"
        :in-theory '(unsigned-byte-p integer-range-p (:e expt)))))))

Theorem: x86p-mv-nth-2-rvm256-unchanged

(defthm x86p-mv-nth-2-rvm256-unchanged
  (equal (mv-nth 2 (rvm256 addr x86))
         x86))

Theorem: xr-rvm256

(defthm xr-rvm256
  (equal (xr fld index (mv-nth 2 (rvm256 addr x86)))
         (xr fld index x86)))

Theorem: rvm256-xw-values

(defthm rvm256-xw-values
  (implies
       (not (equal fld :mem))
       (and (equal (mv-nth 0
                           (rvm256 addr (xw fld index value x86)))
                   (mv-nth 0 (rvm256 addr x86)))
            (equal (mv-nth 1
                           (rvm256 addr (xw fld index value x86)))
                   (mv-nth 1 (rvm256 addr x86))))))