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Approximate reasoning has proven to be in many cases more successful control strategy than classically designed controlled scheme.
Although heavily critiqued by generations of historians, that reasoning has proven remarkably durable particularly among the political right.
ASP, having its roots in knowledge representation and reasoning, has proven to be well suited to address highly combinatorial search and discrete optimization problems, with at least comparable performance with well established ILP solvers.
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Bigotry reinforces its own untruths, and so this reasoning has proved itself resilient.
Anthropic reasoning has proved to be of some utility in string theory where the superabundance of meta-stable low energy vacua (or distinct universes with distinct parameters) realized through inflationary mechanisms, has proved a challenge to those projects seeking to derive our universe from first principles.
The approach to temporal reasoning which has proven most popular in AI is the reified approach.
Poker requires reasoning and intelligence that has proven difficult for machines to imitate.
Their reasoning: Romney has proved to be a weaker candidate and more vulnerable than expected, Santorum they consider to be un-electable, and Gingrich -- whom they neither like nor trust -- is seen as barely breathing as a candidate.
Inductive reasoning as commonly used in computer science has proven to be a very efficient approach to build knowledge about complex megadimensional datasets, including synthetic biology applications.
Consequently, most introductory courses rely on lectures that attempt to "deliver the content," a technique that has proven to be ineffective in fostering conceptual understanding of scientific reasoning (Handelsman et al., 2004).
Reiter's default logic has proven to be an enduring and versatile approach to non-monotonic reasoning.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com