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Weighted NetKAT: A Programming Language For Quantitative Network Verification

arXiv:2604.1398777.61 citationsh-index: 11
AI Analysis

This work extends network verification to quantitative properties, enabling automatic reasoning about metrics like latency or bandwidth for network operators.

Weighted NetKAT is a domain-specific language for modeling and verifying quantitative network properties, parameterized on a semiring. It provides automatic decision procedures for quantitative safety and reachability, demonstrated on Internet2's Abilene network.

We introduce weighted NetKAT, a domain-specific language for modeling and verifying quantitative network properties. The language is parametric on a semiring, enabling the treatment of a wide range of quantities in a uniform way. We provide a denotational semantics and an equivalent operational semantics, the latter based on a novel model of weighted NetKAT automata (WNKA) capturing the stateful behavior of our language. With WNKA, we obtain a class of generic decision procedures for reasoning about quantitative safety and reachability in a fully automatic way, even in the presence of possibly unbounded iteration. We demonstrate the applicability of our framework in a case study using Internet2's Abilene network as the underlying topology.

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