(this duplicates that inquiry from glasgow-haskell-users@ to haskell@) Am Sonntag, 6. November 2005 15:53 schrieb Hans N Beck:
Hi,
I'm searching for a good mathematical oriented introduction to the theory of lambda calculus or other theoretical foundations of Lisp/ Haskell, i.e. monads or such (of course in the web there are much hints, but what is the best for mathematicans foreign to this field)
Regards
Hans _______________________________________________ Glasgow-haskell-users mailing list Glasgow-haskell-users@haskell.org http://www.haskell.org/mailman/listinfo/glasgow-haskell-users
Hi Hans, i'm searching for such lectures/papers/scripts, too. well, untill there is a better answer, i send you some links, which i think could be interesting to you. the first real mathematical definition of "monad", i read, was in the paper "The essence of dataflow programming". i approve to not omit that paper, if you like both, haskell and that theory. beside that, i attended a german lecture about Algebraic Topology. one chapter was about cathegory theory. it was not that much, but interesting. lambda: http://en.wikipedia.org/wiki/Lambda_calculus (http://de.wikipedia.org/wiki/Lambda-Kalk%C3%BCl) very interesting is the "typed lambda calculus", which allows effective bug-prevention, which you do not have in most variants of lisp (or lisp's derivatives) but in haskell. functor: http://haskell.org/hawiki/CategoryTheory_2fFunctor monad: there is a mathematical definition in the paper "The essence of dataflow programming", see 'comonad:' below. cathegory theory: http://haskell.org/hawiki/CategoryTheory http://haskell.org/hawiki/CategoryTheory_2fPapers http://en.wikipedia.org/wiki/List_of_category_theory_topics http://www.eyrie.org/~zednenem/2004/hsce/ arrow: http://www.haskell.org/arrows/ http://www.soi.city.ac.uk/~ross/papers/fop.html comonad: http://comments.gmane.org/gmane.comp.lang.haskell.general/12171 beside these links, do not abstain from reading parts of the haskell library. (Data.Maybe, Data.Monoid, Control.Monad, Data.FunctorM, Control.Arrow) http://www.haskell.org/ghc/docs/latest/html/libraries/ - marc