# Global Numerical Constraints on Trees

@article{Brcenas2014GlobalNC,
title={Global Numerical Constraints on Trees},
author={E. B{\'a}rcenas and J. Lavalle-Mart{\'i}nez},
journal={Log. Methods Comput. Sci.},
year={2014},
volume={10}
}
• Published 2014
• Computer Science
• Log. Methods Comput. Sci.
We introduce a logical foundation to reason on tree structures with constraints on the number of node occurrences. Related formalisms are limited to express occurrence constraints on particular tree regions, as for instance the children of a given node. By contrast, the logic introduced in the present work can concisely express numerical bounds on any region, descendants or ancestors for instance. We prove that the logic is decidable in single exponential time even if the numerical constraints… Expand
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