References of "Acclavio, Matteo 50039851"
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See detailA Graphical Proof Theory of Logical Time
Acclavio, Matteo UL; Horne, Ross James UL; Mauw, Sjouke UL et al

in Felty, Amy P. (Ed.) Proc. 7th International Conference on Formal Structures for Computation and Deduction (FSCD 2022) (2022)

Logical time is a partial order over events in distributed systems, constraining which events precede others. Special interest has been given to series-parallel orders since they correspond to formulas ... [more ▼]

Logical time is a partial order over events in distributed systems, constraining which events precede others. Special interest has been given to series-parallel orders since they correspond to formulas constructed via the two operations for "series" and "parallel" composition. For this reason, series-parallel orders have received attention from proof theory, leading to pomset logic, the logic BV, and their extensions. However, logical time does not always form a series-parallel order; indeed, ubiquitous structures in distributed systems are beyond current proof theoretic methods. In this paper, we explore how this restriction can be lifted. We design new logics that work directly on graphs instead of formulas, we develop their proof theory, and we show that our logics are conservative extensions of the logic BV. [less ▲]

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See detailLogic Beyond Formulas: A Graphical Proof System
Horne, Ross James UL; Acclavio, Matteo UL; Straßburger, Lutz

in LICS '20: Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science (2020)

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