Could someone please explain me, what is a fix point? I caught the minimum explanation about fix point from the website: After infinitely many iterations we should get to a fix point where

I keep coming across references to fixed point in questions and answers at stackexchange and I look up the meaning on the web obviously finding reference at sites such as Wikipedia. However none of...

I am a beginner in coq and want to prove the following theorem t1. First I used induction i and destruct j, but it got bogged down in the middle. I would like some hints for this problem. Functio...

Talk about splitting the program up is largely irrelevant to your question about how to compute a least fixpoint. There are two steps: convert the program to a function $f$; find the least fixpoint of $f$.

Feb 9, 2013 · The fixed-point combinator FIX (aka the Y combinator) in the (untyped) lambda calculus ($\\lambda$) is defined as: FIX $\\triangleq \\lambda f.(\\lambda x. f ...

I have defined an Inductive in Coq for binary representation of natural numbers as follows: Inductive bin : Type := | Z : bin | T : bin -> bin | M : bin -> bin. and two recursive funct...

It can be defined as the largest fixpoint of an operator: it is the largest relation which, when extended to identify equivalent states, remains the same. References Coq and the calculus of inductive …

May 13, 2015 · In safety games there are these mathematical notation about greatest fix points and least fix points but I don't get it. How would we describe them plain English without mathematical …

Dec 20, 2020 · In the exercise, he asks the reader to define the function induced by the inductively defined type of lists, and then show that it has a greatest fixpoint, distinct from the smallest fixpoint, …

Then, in Haskell is List x the greatest or least fixpoint? I'm asking because the lfp should exclude infinite lists (but you can build them in Haskell), whereas the gfp should exclude finite ones.