• 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
          • Decoding-left-inverse
            • Decodex-of-encode-of-instr
            • Get-opcode-of-encode-of-instr
            • Get-funct3-of-encode-of-instr
            • Get-rd-of-encode-of-instr
            • Get-rs1-of-encode-of-instr
            • Get-fields-itype-of-encode-of-instr
            • Get-imm-itype-of-encode-of-instr
            • Get-rs2-of-encode-of-instr
            • Encode-injective
            • Get-fields-rtype-of-encode-of-instr
            • Get-funct7-of-encode-of-instr
            • Get-fields-utype-of-encode-of-instr
            • Decodex-of-encode
            • Get-imm-utype-of-encode-of-instr
            • Get-fields-stype-of-encode-of-instr
            • Get-fields-btype-of-encode-of-instr
            • Get-imm-stype-of-encode-of-instr
            • Get-imm-jtype-of-encode-of-instr
            • Get-imm-btype-of-encode-of-instr
            • Get-fields-jtype-of-encode-of-instr
          • Decoding-executable
          • Decoding-right-inverse
          • Execution-executable
          • Decoding-correct
        • Specialized
        • Optimized
      • 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

• Decoding-left-inverse

Encode-injective

Injectivity of encoding.

Different valid instructions are encoded differently. This is a direct consequence of decodex-of-encode: if two different instructions were encoded in the same way, the decoder would be unable to restore both at the same time.

Definitions and Theorems

Theorem: encode-injective

(defthm encode-injective
  (implies (and (instr-validp instr1 feat)
                (instr-validp instr2 feat))
           (equal (equal (encode instr1 feat)
                         (encode instr2 feat))
                  (equal (instr-fix instr1)
                         (instr-fix instr2)))))