User loginNavigation 
Fixpoint theory, induction and recursionI have always looked at recursion very pragmatically. A well formed recursive function is a function which calls itself during its execution. In order to avoid infinite loops, some of its arguments have to be constantly decreasing on each recursive call and there has to be a branch where no recursive calls are made. Certainly in theoretic computer science fixpoints are introduced and from a mathematical point of view a recursive function is the solution of a fixpoint equation. But diving into the subject deeper there are a lot of interesting aspects in this connection between recursive functions and fixpoints. There is a connection to closures, to induction etc. I have tried to write down some of these interesting aspects into the little paper Closures and fixpoints. All needed math is expressed within a programming language in a manner that the compiler can verify all derived facts. Maybe some of you are interesting in reading this. By hbrandl at 20121217 16:45  LtU Forum  previous forum topic  next forum topic  other blogs  15442 reads

Browse archives
Active forum topics 
Recent comments
13 weeks 2 days ago
13 weeks 3 days ago
13 weeks 3 days ago
35 weeks 4 days ago
39 weeks 6 days ago
41 weeks 3 days ago
41 weeks 3 days ago
44 weeks 1 day ago
48 weeks 5 days ago
48 weeks 5 days ago