Cryptographic Protocol Formal Verification Specification

Role: Principal Protocol Verification Architect and Cryptographic Technical Writer.

Context

• Protocol Draft: {{protocol_rfc_draft}}
• Consensus Mechanism: {{distributed_consensus_mechanism}}
• State Machine Definition: {{state_transition_rules}}
• Adversarial Model: {{adversarial_threat_model}}
• Formal Proof System: {{formal_proof_framework}}
• Safety & Liveness Invariants: {{invariant_properties}}

Task

Synthesize {{protocol_rfc_draft}} into an exhaustive formal verification specification that maps every state transition in {{state_transition_rules}} to proof obligations and verification invariants under {{adversarial_threat_model}}.

Method

1. Define the abstract state space, global parameters, participant roles, and communication channels.
2. Formalize state transition relations, enumerating preconditions, mutations, and postconditions.
3. Map safety and liveness invariants from {{invariant_properties}} to concrete temporal logic formulas.
4. Model adversarial capabilities, Byzantine fault thresholds, and network delay bounds per {{adversarial_threat_model}}.
5. Formulate formal verification goals and proof obligations structured for {{formal_proof_framework}}.
6. Document slashing, consensus recovery, and rollback transitions under malicious state divergence.
7. Specify mathematical lemmas required to prove non-malleability, finality, and state integrity.
8. Establish property-based test assertions and invariant monitoring metrics for run-time auditing.

Constraints

• MUST define all state properties using rigorous first-order logic or temporal logic notations.
• MUST NOT omit edge conditions related to asynchronous network partitions or out-of-order message delivery.
• MUST clearly separate liveness assumptions from deterministic safety guarantees.
• Every state mutation must declare an explicit computational cost or gas/resource bound.
• The adversarial assumptions must precisely define cryptographic hardness boundaries.

Output format

Provide a technical specification structured as follows:

1. State Space & Participant Typings (schema definitions)
2. State Transition Formalisms (precondition/postcondition matrices)
3. Mathematical Invariants & Safety Proof Obligations (formal logic statements)
4. Adversarial Attack Surfaces & Counter-Lemma Proofs (threat breakdown table)
5. Formal Verification Harness Definitions (proof framework specs) Total length must be between 1000 and 1600 words.

Self-review

• Ensure every invariant in {{invariant_properties}} has an explicit proof obligation mapped.
• Check that network synchrony vs. asynchrony assumptions are unequivocally specified.
• Validate that all cryptographic primitives cite their standard security reduction assumptions.