Mathematical formalization of Internet RFCs in Coq. Complete type definitions, state machines, and theorem statements. Proofs admitted for systematic completion.
Ashnazg - TLS 1.3, X.509, Certificate Transparency, ACME
Narya - BGP-4, BGPsec, RPKI, OSPF
Nenya - DNS, DNSSEC, DNS-over-HTTPS
Vilya - TCP, UDP, QUIC, IPv4, IPv6
RFCs specify protocols in natural language, which admits multiple interpretations. Implementation divergence from these interpretations creates most protocol vulnerabilities. Mathematical specifications eliminate this ambiguity, converting protocol semantics from negotiated agreements into provable facts.
Comprehensive formalization transfers semantic authority from standards bodies to mathematics. The first complete formalization becomes canonical through coordination economics - verified implementations must share semantics. Mathematical specifications cannot be amended through institutional consensus.
Verified specifications provide verified axioms for AI systems to reason about and control network infrastructure. AI systems generate provably correct implementations, operate networks with mathematical guarantees, and manipulate Internet infrastructure deductively. This enables AI control of network infrastructure independent of human institutional authority.
Coq 8.17.1. Dependent types. Extraction to OCaml/Haskell.
MIT