Nonelementary Complexities for Branching VASS, MELL, and Extensions

@article{Lazic2015NonelementaryCF,
  title={Nonelementary Complexities for Branching VASS, MELL, and Extensions},
  author={Ranko Lazic and Sylvain Schmitz},
  journal={ACM Transactions on Computational Logic (TOCL)},
  year={2015},
  volume={16},
  pages={1 - 30}
}
  • R. Lazic, S. Schmitz
  • Published 27 January 2014
  • Mathematics
  • ACM Transactions on Computational Logic (TOCL)
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… 

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