Remarks on abstract structures of propositions and realizers

Samuele Maschio

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arXiv · 1912.08501

Remarks on abstract structures of propositions and realizers

Samuele Maschio

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Abstract

We present here an abstract notion of structure consisting of propositions and realizers (which we call PR-structures) giving rise to set based contravariant functors taking values in the category of sets endowed with binary relations. We will characterize those PR-structures giving rise to preorderal and posetal doctrines and we will study in particular the case of a PR-structure induced by a partial applicative structure.

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BibTeX RIS

Samuele Maschio. 2019-12-18. Remarks on abstract structures of propositions and realizers. https://arxiv.org/abs/1912.08501

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