"Can you foresee a day," asked Shirley Ann Jackson, president of the college in upstate New York, "when smart machines, driven with artificial intelligences, will assist with courtroom fact-finding or, more controversially even, judicial decision-making?"

The chief justice's answer was more surprising than the question. "It's a day that's here," he said, "and it's putting a significant strain on how the judiciary goes about doing things."

He may have been thinking about the case of a Wisconsin man, Eric L. Loomis, who was sentenced to six years in prison based in part on a private company's proprietary software. Mr. Loomis says his right to due process was violated by a judge's consideration of a report generated by the software's secret algorithm, one Mr. Loomis was unable to inspect or challenge.

In March, in a signal that the justices were intrigued by Mr. Loomis's case, they asked the federal government to file a friend-of-the-court brief offering its views on whether the court should hear his appeal.