Subexponentials in non-commutative linear logic

M Kanovich, S Kuznetsov, V Nigam… - … Structures in Computer …, 2019 - cambridge.org
Linear logical frameworks with subexponentials have been used for the specification of,
among other systems, proof systems, concurrent programming languages and linear …

Mechanizing focused linear logic in coq

B Xavier, C Olarte, G Reis, V Nigam - Electronic Notes in Theoretical …, 2018 - Elsevier
Linear logic has been used as a foundation (and inspiration) for the development of
programming languages, logical frameworks and models for concurrency. Linear logic's cut …

A logical framework with commutative and non-commutative subexponentials

M Kanovich, S Kuznetsov, V Nigam… - … 2018, Held as Part of the …, 2018 - Springer
Logical frameworks allow the specification of deductive systems using the same logical
machinery. Linear logical frameworks have been successfully used for the specification of a …

[PDF][PDF] A uniform framework for substructural logics with modalities.

B Lellmann, C Olarte, E Pimentel - LPAR, 2017 - easychair.org
It is well known that context dependent logical rules can be problematic both to implement
and reason about. This is one of the factors driving the quest for better behaved, ie, local …

[HTML][HTML] A proof theoretic view of spatial and temporal dependencies in biochemical systems

C Olarte, D Chiarugi, M Falaschi, D Hermith - Theoretical Computer Science, 2016 - Elsevier
The behavior of biochemical systems such as metabolic and signaling pathways may
depend on either the location of the reactants or on the time needed for a reaction to occur …

A survey of the proof-theoretic foundations of logic programming

D Miller - Theory and Practice of Logic Programming, 2022 - cambridge.org
Several formal systems, such as resolution and minimal model semantics, provide a
framework for logic programming. In this article, we will survey the use of structural proof …

[HTML][HTML] On subexponentials, focusing and modalities in concurrent systems

V Nigam, C Olarte, E Pimentel - Theoretical Computer Science, 2017 - Elsevier
In this work we present the focused proof system SELLF⋒, which extends intuitionistic linear
logic with subexponentials with the ability of quantifying over them, hence allowing for the …

Process-as-formula interpretation: A substructural multimodal view (invited talk)

E Pimentel, C Olarte, V Nigam - 6th International Conference on …, 2021 - drops.dagstuhl.de
In this survey, we show how the processes-as-formulas interpretation, where computations
and proof-search are strongly connected, can be used to specify different concurrent …

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

M Acclavio, G Manara, F Montesi - arxiv preprint arxiv:2501.08928, 2025 - arxiv.org
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 …

[HTML][HTML] On concurrent behaviors and focusing in linear logic

C Olarte, E Pimentel - Theoretical Computer Science, 2017 - Elsevier
Abstract Concurrent Constraint Programming (CCP) is a simple and powerful model of
concurrency where processes interact by telling and asking constraints into a global store of …