arXiv subjects

Emmanuel Suárez Acevedo

Publications and source records attributed to Emmanuel Suárez Acevedo.

3 recordsLinked to original sources

arXiv2026

Weighted NetKAT: A Programming Language For Quantitative Network Verification

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.

cs.PL↗

arXiv2024

Effects and Coeffects in Call-By-Push-Value (Extended Version)

Effect and coeffect tracking integrate many types of compile-time analysis, such as cost, liveness, or dataflow, directly into a language's type system. In this paper, we investigate the addition of effect and coeffect tracking to the type system of call-by-push-value (CBPV), a computational model useful in compilation for its isolation of effects and for its ability to cleanly express both call-by-name and call-by-value computations. Our main result is effect-and-coeffect soundness, which asserts that the type system accurately bounds the effects that the program may trigger during execution and accurately tracks the demands that the program may make on its environment. This result holds for two different dynamic semantics: a generic one that can be adapted for different coeffects and one that is adapted for reasoning about resource usage. In particular, the second semantics discards the evaluation of unused values and pure computations while ensuring that effectful computations are always evaluated, even if their results are not required. Our results have been mechanized using the Coq proof assistant.

cs.PL↗

arXiv2023

Making Logical Relations More Relatable (Proof Pearl)

Mechanical proofs by logical relations often involve tedious reasoning about substitution. In this paper, we show that this is not necessarily the case, by developing, in Agda, a proof that all simply typed lambda calculus expressions evaluate to values. A formalization of the proof is remarkably short (~40 lines of code), making for an excellent introduction to the technique of proofs by logical relations not only on paper but also in a mechanized setting. We then show that this process extends to more sophisticated reasoning by also proving the totality of normalization by evaluation. Although these proofs are not new, we believe presenting them will empower both new and experienced programming language theorists in their use of logical relations.

cs.PL↗