• 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
          • Reasoning-about-memory-reads-and-writes
          • Rml256
          • Wml256
          • Rml128
          • Rml80
          • Program-location
          • Rml64
          • Wml128
          • Rml48
          • Rml32
          • Rml08
          • Rml16
          • Wml80
          • Byte-listp
          • Wml64
          • Wml08
          • Wml48
          • Parametric-memory-reads-and-writes
          • Combine-n-bytes
          • Wml32
          • Program-at
          • Wml16
          • Combine-bytes
          • Write-canonical-address-to-memory-user-exec
          • Write-canonical-address-to-memory
          • Wml-size
          • Rml-size
          • Riml64
          • Riml32
          • Riml16
          • Riml08
          • Wiml64
          • Wiml32
          • Wiml16
          • Wiml08
          • Wiml-size
          • Generate-xr-over-write-thms
          • Generate-write-fn-over-xw-thms
          • Generate-read-fn-over-xw-thms
          • Riml-size
        • Rflag-specifications
        • Characterizing-undefined-behavior
        • Top-level-memory
        • App-view
        • 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

Wml16

Signature

(wml16 lin-addr val x86) → (mv * x86)

Definitions and Theorems

Theorem: wb-and-wvm16

(defthm wb-and-wvm16
  (implies (and (app-view x86)
                (canonical-address-p lin-addr)
                (canonical-address-p (1+ lin-addr)))
           (equal (wvm16 lin-addr val x86)
                  (wb 2 lin-addr :w val x86))))

Function: wml16

(defun wml16 (lin-addr val x86)
 (declare (xargs :stobjs (x86)))
 (declare (type (signed-byte 48) lin-addr)
          (type (unsigned-byte 16) val))
 (declare (xargs :guard (canonical-address-p lin-addr)))
 (let ((__function__ 'wml16))
  (declare (ignorable __function__))
  (if
   (mbt (canonical-address-p lin-addr))
   (let* ((1+lin-addr (the (signed-byte 49)
                           (1+ (the (signed-byte 48) lin-addr)))))
    (if
     (mbe :logic (canonical-address-p 1+lin-addr)
          :exec (< (the (signed-byte 49) 1+lin-addr)
                   140737488355328))
     (mbe
         :logic (wb 2 lin-addr :w val x86)
         :exec
         (if (app-view x86)
             (wvm16 lin-addr val x86)
           (b* (((mv flag (the (unsigned-byte 52) p-addr0)
                     x86)
                 (la-to-pa lin-addr :w x86))
                ((when flag) (mv flag x86))
                ((mv flag (the (unsigned-byte 52) p-addr1)
                     x86)
                 (la-to-pa 1+lin-addr :w x86))
                ((when flag) (mv flag x86))
                (byte0 (mbe :logic (part-select val :low 0 :width 8)
                            :exec (the (unsigned-byte 8)
                                       (logand 255 val))))
                (byte1 (mbe :logic (part-select val :low 8 :width 8)
                            :exec (the (unsigned-byte 8)
                                       (logand 255 (ash val -8)))))
                (x86 (!memi p-addr0 byte0 x86))
                (x86 (!memi p-addr1 byte1 x86)))
             (mv nil x86))))
     (mv 'wml16 x86)))
   (mv 'wml16 x86))))

Theorem: x86p-wml16

(defthm x86p-wml16
  (implies (force (x86p x86))
           (x86p (mv-nth 1 (wml16 lin-addr val x86))))
  :rule-classes (:rewrite :type-prescription))