[Agda] termination proofs

Altenkirch Thorsten psztxa at exmail.nottingham.ac.uk
Mon Sep 24 22:51:02 CEST 2012


Ok by "write down" I meant write down *here* and *now*. And post it to the
list please. :-)

This is also my definition of "natural".


Thorsten

On 24/09/2012 21:43, "Martin Escardo" <m.escardo at cs.bham.ac.uk> wrote:

>
>
>On 24/09/12 20:30, Altenkirch Thorsten wrote:
>> Let g : Nat -> Nat -> Nat be the function which to compute g m n
>> interprets m as the binary encoding of an Agda program and which returns
>> (f n)+1 if the program type checks and defines a function f : Nat -> Nat
>> and 0 otherwiseŠ Then define the function f : Nat -> Nat with f x = g x
>>>>
>> Another question: Is there such a program which we can actually write
>>down?
>
>Well, of course: (0) A Martin-Lof type theory term normalizer, (1) An
>Agda type checker, (2) a Haskell interpreter, (3) a bar-recursor
>relizing the double-negation shift.
>
>Martin
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