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Bogdan Dicher, Ask not what bilateralist intuitionists can do for Cut, but what Cut can do for bilateralist intuitionism, Analysis, Volume 80, Issue 1, January 2020, Pages 30–40, https://doi.org/10.1093/analys/anz023
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Abstract
On a bilateralist reading, sequents are interpreted as statements to the effect that, given the assertion of the antecedent it is incoherent to deny the succedent. This interpretation goes against its own ecumenical ambitions, endowing Cut with a meaning very close to that of tertium non datur and thus rendering it intuitionistically unpalatable. This paper explores a top-down route for arguing that, even intuitionistically, a prohibition to deny is as strong as a licence to assert.
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