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  • What is a fixpoint? - Computer Science Stack Exchange
    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
  • Fixed point, what does it mean in the world of computer science
    By the way, the largest fixpoint also has uses; see here for an example In recursion theory, there is another fixed-point theorem, also due to Kleene It says ²,
  • What does least fix point and greatest fix point mean in Safety games
    Probably the most common fixpoint expressions in model checking are things like $\mu X A\cup(B\cap\circ X)$ and $\nu X A\cap(B\cup\circ X)$, where $\circ$ is some flavour of "next state" operator
  • I dont know how to prove a simple theorem used with fixpoint in Coq
    Fixpoint f' (i j : nat) : Prop := match j with | 0 => True | 1 => x i | S j' => f' i j' \ x (j' + i) end Now we can destruct j, take care of j = 0 case, then use induction on j again Throwing in some automation we get the following: Require Import Coq Arith Arith Theorem t1 : forall i j : nat, x i \ f' (S i) j <-> f' i (S j) Proof
  • How to Compute the Fixed Point on a DataFlow Lattice
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • programming languages - Which fixpoint is Haskell list type? - Computer . . .
    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 I'm asking because the lfp should exclude infinite lists (but you can build them in Haskell), whereas the gfp should exclude finite ones
  • What is coinduction? - Computer Science Stack Exchange
    Bisimilarity is a coinductive property 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 constructions Yves Bertot and Pierre Castéran
  • automated theorem proving - Computer Science Stack Exchange
    Fixpoint is similar to Definition, but allows a recursive definition (like let rec in ML) It's in fact syntactic sugar for Definition plus the explicit fixpoint combinator fix, but definitions made using Fixpoint are easier to read and write The best way to understand these is to write a few proofs about some datatype





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