MONTREAL - Guy Turcotte, the doctor found not criminally responsible for killing his two children, may be heading back to court.

Crown Prosecutors are asking permission to appeal the judgement, with the Director of the Department of Penal and Criminal Prosecutions saying he believes Judge Marc David made errors when giving his instructions to the jury.

At a yet-to-be-scheduled hearing a single judge from the court of appeal will determine if there are enough grounds for a three-panel judge to hear the appeal by the prosecution.

Earlier this month a jury found Turcotte not criminally responsible for stabbing his two children to death by reason of mental defect.

He is currently a ward of the Pinel Institute where he is kept under the care of a psychiatrist.

The verdict raised a considerable amount of outrage among the public, and protests are scheduled to take place in front of the Montreal courthouse on August 6, 2011.

In 2009, while in the midst of splitting up with his wife because she was having an affair, Turcotte stabbed his son Olivier, 5, and daughter Anne-Sophie, 3.

After the murders, Turcotte attempted to kill himself by drinking antifreeze.

Following his arrest and during the trial, Turcotte said he only remembered bits and pieces of what happened the night of the murders.

He will remain in an institution until a review board determines whether he is fit to be released.