Measuring Inconsistency in Declarative Process Specifications. (arXiv:2206.07080v1 [cs.AI])

We address the problem of measuring inconsistency in declarative process
specifications, with an emphasis on linear temporal logic on fixed traces
(LTLff). As we will show, existing inconsistency measures for classical logic
cannot provide a meaningful assessment of inconsistency in LTL in general, as
they cannot adequately handle the temporal operators. We therefore propose a
novel paraconsistent semantics as a framework for inconsistency measurement. We
then present two new inconsistency measures based on these semantics and show
that they satisfy important desirable properties. We show how these measures
can be applied to declarative process models and investigate the computational
complexity of the introduced approach.

Source: https://arxiv.org/abs/2206.07080

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