• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
      • Apt
      • Zfc
      • Aleobft
        • Aleobft-static
        • Aleobft-stake2
        • Aleobft-dynamic
        • Aleobft-stake
          • Correctness
          • Definition
            • Initialization
            • Transitions
            • States
              • Committees
              • System-states
              • Certificates
                • Certificate-set-unequivocalp
                • Certificate-sets-unequivocalp
                • Cert-with-author+round
                • Certificate
                  • Certificatep
                    • Certificate-fix
                    • Make-certificate
                    • Certificate-equiv
                    • Certificate->transactions
                    • Change-certificate
                    • Certificate->round
                    • Certificate->previous
                    • Certificate->endorsers
                    • Certificate->author
                  • Certs-with-authors+round
                  • Certs-with-author
                  • Certs-with-round
                  • Unequivocal-certs-with-authors+round
                  • Unequivocal-cert-with-author+round
                  • Certificate-option
                  • Certs-with-authors
                  • Certificates-ordered-even-p
                  • Certs-with-signer
                  • Cert-set->author-set
                  • Cert-set->round-set
                  • Certificate->signers
                  • Certificate-set
                  • Certificate-list
                • Messages
                • Validator-states
                • Transactions
                • Blocks
                • Addresses
              • Events
          • Aleobft-proposals
          • Library-extensions
        • Acre
        • Milawa
        • Smtlink
        • Abnf
        • Vwsim
        • Isar
        • Wp-gen
        • Dimacs-reader
        • Pfcs
        • Legacy-defrstobj
        • Proof-checker-array
        • Soft
        • C
        • Farray
        • Rp-rewriter
        • Instant-runoff-voting
        • Imp-language
        • Sidekick
        • Leftist-trees
        • Java
        • Taspi
        • Bitcoin
        • Riscv
        • Des
        • Ethereum
        • X86isa
        • Sha-2
        • Yul
        • Zcash
        • Proof-checker-itp13
        • Regex
        • ACL2-programming-language
        • Json
        • Jfkr
        • Equational
        • Cryptography
        • Poseidon
        • Where-do-i-place-my-book
        • Axe
        • Bigmems
        • Builtins
        • Execloader
        • Solidity
        • Leo
        • Paco
        • Concurrent-programs
        • Bls12-377-curves
      • Debugging
      • Std
      • Proof-automation
      • Macro-libraries
      • ACL2
      • Interfacing-tools
      • Hardware-verification
      • Software-verification
      • Math
      • Testing-utilities
    • Certificate

    Certificatep

    Recognizer for certificate structures.

    Signature
    (certificatep x) → *

    Definitions and Theorems

    Function: certificatep

    (defun certificatep (x)
     (declare (xargs :guard t))
     (let ((__function__ 'certificatep))
      (declare (ignorable __function__))
      (and
       (mbe
           :logic
           (and (alistp x)
                (equal (strip-cars x)
                       '(author round transactions previous endorsers)))
           :exec (fty::alist-with-carsp
                      x
                      '(author round transactions previous endorsers)))
       (b* ((author (cdr (std::da-nth 0 x)))
            (round (cdr (std::da-nth 1 x)))
            (transactions (cdr (std::da-nth 2 x)))
            (previous (cdr (std::da-nth 3 x)))
            (endorsers (cdr (std::da-nth 4 x))))
         (and (addressp author)
              (posp round)
              (transaction-listp transactions)
              (address-setp previous)
              (address-setp endorsers))))))

    Theorem: consp-when-certificatep

    (defthm consp-when-certificatep
      (implies (certificatep x) (consp x))
      :rule-classes :compound-recognizer)