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Full Cut Elimination and Interpolation for Intuitionistic Logic with Existence Predicate

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Maffezioli P., Orlandelli E.

Bulletin of the Section of Logic

2019

tom 48

nr 2

137-158

In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence predicate is presented that satisfies partial cut elimination and Craig's interpolation property; it is also conjectured that interpolation fails for the implication-free fragment. In this paper an equivalent calculus is introduced that satisfies full cut elimination and allows a direct proof of interpolation via Maehara's lemma. In this way, it is possible to obtain much simpler interpolants and to better understand and (partly) overcome the failure of interpolation for the implication-free fragment.

Ograniczanie wyników

1 Bulletin of the Section of Logic

1 Maffezioli P.

1 Orlandelli E.

1 2019

Wyniki wyszukiwania

Full Cut Elimination and Interpolation for Intuitionistic Logic with Existence Predicate