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arXiv · 1506.02737

Computable functors and effective interpretability

Matthew Harrison-Trainor·Alexander Melnikov·Russell Miller·Antonio Montalbán
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Abstract

Our main result is the equivalence of two notions of reducibility between structures. One is a syntactical notion which is an effective version of interpretability as in model theory, and the other one is a computational notion which is a strengthening of the well-known Medvedev reducibility. We extend our result to effective bi-interpretability and also to effective reductions between classes of structures.

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Matthew Harrison-Trainor, Alexander Melnikov, Russell Miller, Antonio Montalbán. 2015-06-09. Computable functors and effective interpretability. https://arxiv.org/abs/1506.02737

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