A graduate student who must pay four record labels a combined $675,000 in damages for downloading and sharing songs online has been ordered to destroy his illegal music files - but a judge declined to force him to stop promoting the activity that got him in trouble.

Joel Tenenbaum, a Boston University student from Providence, R.I., was ordered Monday to refrain from future copyright violations and to destroy copies of recordings he downloaded without authorization.

Record companies wanted U.S. District Judge Nancy Gertner to go further. They claimed Tenenbaum has been encouraging people to visit a Swedish Web site where they can illegally download the songs he was sued for sharing.

Tenenbaum said he had nothing to do with the Web site, and Gertner said she would not attempt to silence Tenenbaum’s criticism of the recording industry and copyright laws.