This is a “robot mystery” in the style of Asimov, but actually written by Roger MacBride Allen. Wikipedia assures me that Asimov approved the outline for this book, as well as the other two by Roger:
“Shortly before his death in 1992, Asimov approved an outline for three novels (Caliban, Inferno, Utopia) by Roger MacBride Allen, set between Robots and Empire and the Empire series, telling the story of the terraforming of the Spacer world Inferno, and about the robot revolution started by creating a “No Law” Robot, and then New Law Robots.”
Roger is an interesting author, and appears to have written quite a few books, with a strong tendency for basing them in other author’s universes. Its interesting to meet an author who is so seemingly willing to base his work on that of others.
This book didn’t strike me as well written as Asimov’s, but that’s a pretty high bar to meet. It should be noted that Amazon reviews disagree with me on this point. Its rendition is certainly competent though, and the story is a good one.