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The faithfulness of atomic polymorphism
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Orientador(es)
Resumo(s)
It 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.
Descrição
Palavras-chave
Predicative polymorphism Faithfulness Natural deduction Kripke models Intuitionistic propositional calculus
Contexto Educativo
Citação
Editora
Lodz University Press