GAME SEMANTICS AND THE GEOMETRY OF BACKTRACKING: A NEW COMPLEXITY ANALYSIS OF INTERACTION

Author:

ASCHIERI FEDERICO

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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1. The (In)Efficiency of interaction;Proceedings of the ACM on Programming Languages;2021-01-04

2. Lorenzen and Constructive Mathematics;Paul Lorenzen -- Mathematician and Logician;2021

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