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Untyping Typed Algebras and Colouring Cyclic Linear Logic

Damien Pous.

We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be derived from the underlying untyped equations. As a consequence, the corresponding untyped decision procedures can be extended for free to&nbsp;[&hellip;]

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A Distribution Law for CCS and a New Congruence Result for the pi-calculus

Daniel Hirschkoff ; Damien Pous.

We give an axiomatisation of strong bisimilarity on a small fragment of CCS that does not feature the sum operator. This axiomatisation is then used to derive congruence of strong bisimilarity in the finite pi-calculus in absence of sum. To our knowledge, this is the only nontrivial subcalculus of&nbsp;[&hellip;]

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Deciding Kleene Algebras in Coq

Thomas Braibant ; Damien Pous.

We present a reflexive tactic for deciding the equational theory of Kleene algebras in the Coq proof assistant. This tactic relies on a careful implementation of efficient finite automata algorithms, so that it solves casual equations instantaneously and properly scales to larger expressions. The&nbsp;[&hellip;]

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