• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
    • Debugging
    • Community
    • Std
    • Proof-automation
    • Macro-libraries
    • ACL2
    • Interfacing-tools
    • Hardware-verification
    • Software-verification
      • Kestrel-books
        • Crypto-hdwallet
        • Apt
        • Error-checking
        • Fty-extensions
        • Isar
        • Kestrel-utilities
        • Set
        • Soft
        • C
        • Bv
        • Imp-language
        • Event-macros
        • Java
        • Riscv
          • Specification
          • Executable
          • Specialized
          • Optimized
            • State-stobj
              • Stat1
              • Write1-memory-unsigned64
              • Stat1-iso
              • Read1-memory-unsigned64
              • Stat1-from-stat
              • Write1-memory-unsigned32
              • Read1-memory-unsigned32
              • Write1-memory-unsigned16
              • Write1-memory-unsigned8
              • Read1-memory-unsigned16
              • Read1-instruction
              • Stat-from-stat1
              • Write1-xreg
              • Read1-xreg-unsigned32
              • Read1-xreg-unsigned
              • Read1-memory-unsigned8
              • Write1-xreg-32
              • Stat1-validp
                • Read1-xreg-signed32
                • Read1-xreg-signed
                • Write1-pc
                • Make-stat1
                • Error1
                • Read1-pc
                • Inc41-pc
                • Stat1->memory
                • Errorp1
          • Bitcoin
          • Ethereum
          • Yul
          • Zcash
          • ACL2-programming-language
          • Prime-fields
          • Json
          • Syntheto
          • File-io-light
          • Cryptography
          • Number-theory
          • Lists-light
          • Axe
          • Builtins
          • Solidity
          • Helpers
          • Htclient
          • Typed-lists-light
          • Arithmetic-light
        • X86isa
        • Axe
        • Execloader
      • Math
      • Testing-utilities
    • State-stobj

    Stat1-validp

    Refine stat-validp to use the stobj states.

    Definitions and Theorems

    Function: stat1-validp

    (defun stat1-validp (stat feat)
     (declare (xargs :non-executable t))
     (declare
          (xargs :guard (non-exec (and (stat1p stat)
                                       (statp (stat-from-stat1 stat))
                                       (featp feat)))))
     (prog2$
      (acl2::throw-nonexec-error 'stat1-validp
                                 (list stat feat))
      (let nil
       (let nil
        (let nil
          (let nil
            (and (acl2::mbt$ (stat1p stat))
                 (let ((stat.xregs (stat->xregs (stat-from-stat1 stat)))
                       (stat (stat-from-stat1 stat)))
                   (let* ((stat.pc (stat->pc stat))
                          (stat.memory (stat->memory stat))
                          (xlen (feat->xlen feat))
                          (xnum (feat->xnum feat)))
                     (and (unsigned-byte-listp xlen stat.xregs)
                          (equal (len stat.xregs) (+ -1 xnum))
                          (unsigned-byte-p xlen stat.pc)
                          (equal (len stat.memory)
                                 (expt 2 xlen))))))))))))

    Theorem: stat1-validp-to-stat-validp

    (defthm stat1-validp-to-stat-validp
      (implies (stat1p stat)
               (equal (stat1-validp stat feat)
                      (stat-validp (stat-from-stat1 stat)
                                   feat)))
      :rule-classes :rewrite)

    Theorem: stat-validp-to-stat1-validp

    (defthm stat-validp-to-stat1-validp
      (implies (statp stat)
               (equal (stat-validp stat feat)
                      (stat1-validp (stat1-from-stat stat)
                                    feat)))
      :rule-classes :rewrite)