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Nabla Algebras and Chu Spaces

Nabla Algebras and Chu Spaces

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Foreword<br />

Basic observations<br />

∇-algebras<br />

Lifting constructions on <strong>Chu</strong> spaces<br />

Vietoris endofunctor on Stone spaces<br />

Semantic equivalences<br />

The following semantic equivalences hold:<br />

✸ϕ ≡ ∇{ϕ, ⊤}<br />

✷ϕ ≡ ∇∅ ∨ ∇{ϕ}<br />

So ✷ <strong>and</strong> ✸ can be defined in terms of ∇.<br />

Aless<strong>and</strong>ra Palmigiano (joint work with Yde Venema) <strong>Nabla</strong> <strong>Algebras</strong> <strong>and</strong> <strong>Chu</strong> <strong>Spaces</strong><br />

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