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Conference Papers Year : 2017

Deciding equivalence with sums and the empty type


The logical technique of focusing can be applied to the λ-calculus; in a simple type system with atomic types and negative type form-ers (functions, products, the unit type), its normal forms coincide with βη-normal forms. Introducing a saturation phase gives a notion of quasi-normal forms in presence of positive types (sum types and the empty type). This rich structure let us prove the decidabil-ity of βη-equivalence in presence of the empty type, the fact that it coincides with contextual equivalence, and a finite model property.
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hal-01646064 , version 1 (23-11-2017)



Gabriel Scherer. Deciding equivalence with sums and the empty type. POPL 2017, Jan 2017, Paris, France. ⟨hal-01646064⟩
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