超計算或超圖靈計算可以輸出非圖靈可計算結果的計算模型。例如，一台可以解決停機問題的機器可算作一台超計算機；可以正確推演皮亞諾算術中每一個狀態的機器亦然。

邱奇－圖靈論題指出，任何可以用有限算法以紙筆計算的 "可有效計算" 函數都能被圖靈機計算。超計算機能計算圖靈機無法計算、即邱奇－圖靈論題中不可計算的的函數。

嚴格說來概率圖靈機的輸出是不可計算的。然而，大多數超計算方向的文獻更關注有用的計算而非隨機、不可計算的函數。



擴展閱讀


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外部連結


* Hypercomputation Research Network （頁面存檔備份，存於網際網路檔案館）