Re: [Haskell-cafe] Gödel's System T

2010-11-11 Thread Aaron Gray
On 11 November 2010 11:43, Petr Pudlak d...@pudlak.name wrote: Thanks Dan, the book is really interesting, all parts of it. It looks like I'll read the whole book. Watch out for the decidability issue though :- http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.6483 Aaron

[Haskell-cafe] Gödel's System T

2010-11-10 Thread Petr Pudlak
Hi, I was reading the paper Total Functional Programming [1]. I encountered an interesting note on p. 759 that primitive recursion in a higher-order language allows defining much larger set of function than classical primitive recursion (which, for example, cannot define Ackermann's

Re: [Haskell-cafe] Gödel's System T

2010-11-10 Thread Dan Doel
On Wednesday 10 November 2010 1:42:00 pm Petr Pudlak wrote: I was reading the paper Total Functional Programming [1]. I encountered an interesting note on p. 759 that primitive recursion in a higher-order language allows defining much larger set of function than classical primitive recursion