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A Counting Logic for Trees
2015
Journal of Computacion y Sistemas
It has been recently shown that the fully enriched µ-calculus, an expressive modal logic, is undecidable. In the current work, we prove that this result does not longer hold when considering finite tree models. This is achieved with the introduction of an extension of the fully enriched µ-calculus for trees with numerical constraints. Contrastively with graded modalities, which restrict the occurrence of immediate successor nodes only, the logic introduced in this paper can concisely express
doi:10.13053/cys-19-2-1999
fatcat:dn336yq2o5ghzo5zsash75d5sm