arXiv subjects

Giulia Manara

Publications and source records attributed to Giulia Manara.

4 recordsLinked to original sources

arXiv2026

Choreographic Programming: a Semantic Approach

The Endpoint Projection (EPP) theorem is a cornerstone of choreographic programming. It states that every choreography can be projected to a network of processes that correctly implements it. Proving EPP is notoriously difficult, and existing proofs are complex and non-modular because of the mismatch between the global view of choreographies and the local view of processes. In this article, we show how to reconcile this mismatch by designing a new semantics for choreographies that is built on the local view of processes, as well as a new preorder relation between choreographies and networks that extends bisimulation to deal with the propagation of knowledge of choice among distributed processes. As a result, we can give a modular proof of EPP, which is conceptually simpler than existing ones and also provides better insights on the theory of choreographic programming.

cs.PL↗

arXiv2026

Proof Nets for PiL (Full Version)

We introduce proof nets for PiL, an extension of first-order multiplicative additive linear logic with new operators allowing a shallow encoding of processes in the {\pi}-calculus as formulas. We provide correctness criterion, sequentialization procedure, and a proof translation algorithm. We show that proof nets provide a canonical representation of sequent calculus derivations modulo rule permutations.

cs.LO↗

arXiv2025

Formulas as Processes, Deadlock-Freedom as Choreographies (Extended Version)

We introduce a novel approach to studying properties of processes in the {\pi}-calculus based on a processes-as-formulas interpretation, by establishing a correspondence between specific sequent calculus derivations and computation trees in the reduction semantics of the recursion-free {\pi}-calculus. Our method provides a simple logical characterisation of deadlock-freedom for the recursion- and race-free fragment of the {\pi}-calculus, supporting key features such as cyclic dependencies and an independence of the name restriction and parallel operators. Based on this technique, we establish a strong completeness result for a nontrivial choreographic language: all deadlock-free and race-free finite {\pi}-calculus processes composed in parallel at the top level can be faithfully represented by a choreography. With these results, we show how the paradigm of computation-as-derivation extends the reach of logical methods for the study of concurrency, by bridging important gaps between logic, the expressiveness of the {\pi}-calculus, and the expressiveness of choreographic languages.

cs.LO↗

arXiv2024

Proofs as Execution Trees for the {\pi}-Calculus

In this paper, we establish the foundations of a novel logical framework for the {\pi}-calculus, based on the deduction-as-computation paradigm. Following the standard proof-theoretic interpretation of logic programming, we represent processes as formulas, and we interpret proofs as computations. For this purpose, we define a cut-free sequent calculus for an extension of first-order multiplicative and additive linear logic. This extension includes a non-commutative and non-associative connective to faithfully model the prefix operator, and nominal quantifiers to represent name restriction. Finally, we design proof nets providing canonical representatives of derivations up to local rule permutations.

cs.LO↗