• 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
      • C
      • Soft
      • Bv
      • Imp-language
      • Ethereum
      • Event-macros
      • Java
      • Riscv
        • Specification
          • Semantics
          • Features
          • Instructions
          • Encoding
          • States
          • Reads-over-writes
            • Read-memory-of-write-memory-theorems
            • Read-xreg-of-write-memory-theorems
            • Read-xreg-of-write-xreg-theorems
            • Read-xreg-of-write-pc-theorems
            • Read-memory-of-write-pc-theorems
            • Read-memory-of-write-xreg-theorems
            • Read-pc-of-write-pc-theorems
            • Read-pc-of-write-memory-theorems
            • Read-instr-of-write-pc-theorems
            • Read-instr-of-write-memory-theorems
            • Read-pc-of-write-xreg-theorems
            • Read-instr-of-write-xreg-theorems
          • Semantics-equivalences
          • Decoding
          • Execution
        • Executable
        • Specialized
        • Optimized
      • Bitcoin
      • Zcash
      • Yul
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Cryptography
      • Number-theory
      • Axe
      • Lists-light
      • Builtins
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Reads-over-writes

Read-xreg-of-write-pc-theorems

Theorems about reads of registers over writes of program counter.

The writes of program counter include not only write-pc but also inc4-pc.

These theorems are all enabled by default because they always clearly simplify the term.

Definitions and Theorems

Theorem: read-xreg-unsigned-of-write-pc

(defthm read-xreg-unsigned-of-write-pc
  (equal (read-xreg-unsigned reg (write-pc pc stat feat)
                             feat)
         (read-xreg-unsigned reg stat feat)))

Theorem: read-xreg-signed-of-write-pc

(defthm read-xreg-signed-of-write-pc
  (equal (read-xreg-signed reg (write-pc pc stat feat)
                           feat)
         (read-xreg-signed reg stat feat)))

Theorem: read-xreg-unsigned32-of-write-pc

(defthm read-xreg-unsigned32-of-write-pc
  (equal (read-xreg-unsigned32 reg (write-pc pc stat feat)
                               feat)
         (read-xreg-unsigned32 reg stat feat)))

Theorem: read-xreg-signed32-of-write-pc

(defthm read-xreg-signed32-of-write-pc
  (equal (read-xreg-signed32 reg (write-pc pc stat feat)
                             feat)
         (read-xreg-signed32 reg stat feat)))

Theorem: read-xreg-unsigned-of-inc4-pc

(defthm read-xreg-unsigned-of-inc4-pc
  (equal (read-xreg-unsigned reg (inc4-pc stat feat)
                             feat)
         (read-xreg-unsigned reg stat feat)))

Theorem: read-xreg-signed-of-inc4-pc

(defthm read-xreg-signed-of-inc4-pc
  (equal (read-xreg-signed reg (inc4-pc stat feat)
                           feat)
         (read-xreg-signed reg stat feat)))

Theorem: read-xreg-unsigned32-of-inc4-pc

(defthm read-xreg-unsigned32-of-inc4-pc
  (equal (read-xreg-unsigned32 reg (inc4-pc stat feat)
                               feat)
         (read-xreg-unsigned32 reg stat feat)))

Theorem: read-xreg-signed32-of-inc4-pc

(defthm read-xreg-signed32-of-inc4-pc
  (equal (read-xreg-signed32 reg (inc4-pc stat feat)
                             feat)
         (read-xreg-signed32 reg stat feat)))