Sentence examples for a precise complexity from inspiring English sources

Moreover, the number of construction steps required for this yields a precise complexity measure which (for example) allows us to derive predictions for cognitive processing.

But the precise complexity of how stem cell development is regulated throughout states of cellular change has been difficult to pinpoint until now.

This is the problem addressed in this paper: we establish the decidability and precise complexity of checking this property.

We show duality and modularity properties of these notions, give precise complexity characterizations, and provide algorithms for their computation, which have been implemented in a prototype, by means of so-called hex-programs.

The algorithmic description of the main algorithms discussed in the article along with the more precise complexity figures is presented in this section.

In particular, we give a precise picture of the complexity of deciding explanations, α-partial explanations, and partial explanations, and of computing the explanatory power of partial explanations.

Finally, we also present algorithms for reasoning under probabilistic entailment in System Z and probabilistic lexicographic entailment, and we give a precise picture of its complexity.

In this paper, we fill these gaps and first draw a precise picture of the complexity of default reasoning from conditional knowledge bases: Given a conditional knowledge base KB and a default φ→ψ, does KB entail φ→ψ?

"The idea of abstraction," he said, "is to hide the details". It requires recognizing patterns and distilling complexity into a precise, clear summary.

We give a precise picture of the computational complexity of causal relationships in Pearl's structural models, where we focus on causality between variables, event causality, and probabilistic causality.

Finally, we give a precise picture of the computational complexity of dl-programs, and we describe efficient algorithms and a prototype implementation of dl-programs which is available on the Web.