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Toward Protocol-Level Quantum Safety in Bitcoin A Formal, Adversarial, and Invariant-Driven Treatment
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{fips186-5} https://csrc.nist.gov/publications/detail/fips/186/5/final url medium confidence {bip340} https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki url medium confidence {bip341} https://github.com/bitcoin/bips/blob/master/bip-0341.mediawiki url medium confidence {bip342} https://github.com/bitcoin/bips/blob/master/bip-0342.mediawiki url medium confidence {shor1994algorithms} 10.1109/SFCS.1994.365700 doi high confidence {grover1996fast} 10.1145/237814.237866 doi high confidence {zalka1999grover} 10.1103/PhysRevA.60.2746 doi high confidence {garay2015bitcoin} 10.1007/978-3-662-46803-6_10 doi high confidence {gmr1988} 10.1137/0217017 doi high confidence {boneh2013quantum} https://eprint.iacr.org/2013/088 url medium confidence {fips204} https://csrc.nist.gov/publications/detail/fips/204/final url medium confidence {fips205} https://csrc.nist.gov/publications/detail/fips/205/final url medium confidence {proos2003shor} arXiv:quant-ph/0301141 arxiv high confidence {aggarwal2018quantum} arXiv:1710.10377 arxiv high confidence {bip141} https://github.com/bitcoin/bips/blob/master/bip-0141.mediawiki url medium confidence {shoup2004sequences} https://eprint.iacr.org/2004/332 url medium confidence {bellare2006security} 10.1007/11761679_25 doi high confidence {boneh2011random} 10.1007/978-3-642-25385-0_3 doi high confidence {zhandry2012how} 10.1109/FOCS.2012.37 doi high confidence {pass2017analysis} 10.1007/978-3-319-56614-6_22 doi high confidence Add the human verification attestation for mathematical claims.
Untitled section medium confidence \(\mathsf{UTXO}\) Untitled section medium confidence Toward Protocol-Level Quantum Safety in Bitcoin A Formal, Adversarial, and Invariant-Driven Treatment ``Quantum-safe Bitcoin'' is not a property of a subset of well-behaved transactions. Untitled section medium confidence All results are supported by formal artifacts: a TLA+ model exhaustively checked by TLC (zero invariant violations across 492 states; concrete counterexample for the migration dilemma) and Coq-mechanized proofs of spend... Untitled section medium confidence Toward Protocol-Level Quantum Safety in Bitcoin A Formal, Adversarial, and Invariant-Driven Treatment Mayckon Giovani (April 2026 (Draft for review)) 1 Introduction medium confidence At a minimum, protocol-level quantum safety requires: 1. a deterministic, total validation predicate and transition function (consensus is a state machine, not an API); 2. a game-based authorization definition against Q... What is proven. medium confidence This paper proves the following results, all conditional on explicitly stated axioms: (i) consensus invariants (no double spend, state consistency, determinism) are preserved across all valid transitions (Theorems 1, 2)... What is assumed. medium confidence The following are explicit axioms or implementation obligations, not proven in this paper: (a) the deployed sighash implementation satisfies the commitment property (Definition 5), including consensus-semantic injectivi... Require a human verification attestation.
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