Peel, core and chop the apples. Pulverize 3/4 C walnuts in food processor. Add half of the chopped apples, 1/4 C of sugar, cinnamon, lemon juice, apple juice, honey and butter into food processor and mix to a paste. Remove from food processor, set aside. Sprinkle remaining chopped apples with remaining 1/4 C sugar. Add paste to chopped apples and stir. Add final 1/2 chopped walnuts and stir. Sweeten to taste as needed.