Refining the arithmetical hierarchy of classical principles

نویسندگان

چکیده

We refine the arithmetical hierarchy of various classical principles by finely investigating derivability relations between these over Heyting arithmetic. mainly investigate some restricted versions law excluded middle, De Morgan's law, double negation elimination, collection principle and constant domain axiom.

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ژورنال

عنوان ژورنال: Mathematical Logic Quarterly

سال: 2022

ISSN: ['0942-5616', '1521-3870']

DOI: https://doi.org/10.1002/malq.202000077