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4 papers · 1 filter
Barbed Similarity for the -Calculus in Beluga: A Case Study in Coinductive Reasoning
Lea Trogni, Gabriele Cecilia, Alberto Momigliano
We formalize strong barbed similarity for the pi-calculus in the Beluga proof assistant, completing a line of work addressing the Concurrent Calculi Formalization Benchmark. By ext…
Reversible computations are computations
Clément Aubert, Jean Krivine
Causality serves as an abstract notion of time for concurrent systems. A computation is causal, or simply valid, if each observation of a computation event is preceded by the obser…
A Formalization of the Reversible Concurrent Calculus CCSKP in Beluga
Gabriele Cecilia
Reversible concurrent calculi are abstract models for concurrent systems in which any action can potentially be undone. Over the last few decades, different formalisms have been de…
On the Lambek Calculus with an Exchange Modality
Jiaming Jiang, Harley Eades, Valeria de Paiva
In this paper we introduce Commutative/Non-Commutative Logic (CNC logic) and two categorical models for CNC logic. This work abstracts Benton's Linear/Non-Linear Logic by removing…