Ferreira, FernandoFerreira, Gilda2021-02-152021-02-1520141572-6126http://hdl.handle.net/10400.2/10489It is known that the full intuitionistic propositional calculus can be embedded into the atomic polymorphic system Fat, a calculus with only two connectives: the conditional and the second-order universal quantifier. The embedding uses a translation of formulas due to Prawitz and relies on the so-called property of instantiation overflow. In this paper, we show that the previous embedding is faithful i.e., if a translated formula is derivable in Fat, then the original formula is already derivable in the propositional calculus.engPredicative polymorphismFaithfulnessNatural deductionKripke modelsIntuitionistic propositional calculusjournal article