Abstract:We introduce layering to modal type theory to combine type theory with intensional analysis. In particular, we demonstrate this idea by developing a 2-layered modal type theory. At the core of this type theory (layer 0) is a simply typed $$\lambda $$
λ
-calculus with no modality. Layer 1 is obtained by extending the core language with one layer of contextual $$\square $$
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types to support pattern matching on potentially open code from layer … Show more
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