YES 0.41600000000000004 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/empty.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:



↳ HASKELL
  ↳ BR

mainModule Main
  ((fromInteger :: Integer  ->  Float) :: Integer  ->  Float)

module Main where
  import qualified Prelude


Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL
  ↳ BR
    ↳ HASKELL
      ↳ COR

mainModule Main
  ((fromInteger :: Integer  ->  Float) :: Integer  ->  Float)

module Main where
  import qualified Prelude


Cond Reductions:
The following Function with conditions
undefined 
 | False
 = undefined

is transformed to
undefined  = undefined1

undefined0 True = undefined

undefined1  = undefined0 False



↳ HASKELL
  ↳ BR
    ↳ HASKELL
      ↳ COR
        ↳ HASKELL
          ↳ NumRed

mainModule Main
  ((fromInteger :: Integer  ->  Float) :: Integer  ->  Float)

module Main where
  import qualified Prelude


Num Reduction: All numbers are transformed to thier corresponding representation with Pos, Neg, Succ and Zero.

↳ HASKELL
  ↳ BR
    ↳ HASKELL
      ↳ COR
        ↳ HASKELL
          ↳ NumRed
            ↳ HASKELL
              ↳ Narrow

mainModule Main
  (fromInteger :: Integer  ->  Float)

module Main where
  import qualified Prelude


Haskell To QDPs