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arXiv · 1401.6785

Non-Elementary Complexities for Branching VASS, MELL, and Extensions

Ranko Lazić·Sylvain Schmitz
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Abstract

We study the complexity of reachability problems on branching extensions of vector addition systems, which allows us to derive new non-elementary complexity bounds for fragments and variants of propositional linear logic. We show that provability in the multiplicative exponential fragment is Tower-hard already in the affine case -- and hence non-elementary. We match this lower bound for the full propositional affine linear logic, proving its Tower-completeness. We also show that provability in propositional contractive linear logic is Ackermann-complete.

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Ranko Lazić, Sylvain Schmitz. 2014-01-27. Non-Elementary Complexities for Branching VASS, MELL, and Extensions. https://doi.org/10.1145/2733375

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