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arXiv · 1511.06260

Game Semantics and the Geometry of Backtracking: a New Complexity Analysis of Interaction

Federico Aschieri
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Abstract

We present abstract complexity results about Coquand and Hyland-Ong game semantics, that will lead to new bounds on the length of first-order cut-elimination, normalization, interaction between expansion trees and any other dialogical process game semantics can model and apply to. In particular, we provide a novel method to bound the length of interactions between visible strategies and to measure precisely the tower of exponentials defining the worst-case complexity. Our study improves the old estimates on average by several exponentials.

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Federico Aschieri. 2016-08-11. Game Semantics and the Geometry of Backtracking: a New Complexity Analysis of Interaction. https://arxiv.org/abs/1511.06260

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