The Many Meanings of Polarized Proof Theory
نویسنده
چکیده
Proof theory is the study of why a proposition is true in a system, as opposed to the study of which propositions are true. In ordinary classical logic all proofs of the same proposition are indistinguishable, so its proof theory is essentially nonexistent. Polarized logic aims to fill this void as a rich proof theory with classical reasoning principles. In this report we examine polarized logic from the perspective of Noam Zeilberger’s judgmental meaning-theories, and we apply this intuition to two different perspectives on polarization by Girard and Laurent.
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