Proof Normalisation in a Logic Identifying Isomorphic Propositions
Abstract
We define a fragment of propositional logic where isomorphic propositions, such as A ∧ B and B ∧ A, or A ⇒ (B ∧ C) and (A ⇒ B) ∧ (A ⇒ C) are identified. We define System I, a proof language for this logic, and prove its normalisation and consistency.
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