Lambda the Ultimate

inactiveTopic Tarski's fixpoint theorem - history of use
started 3/18/2003; 10:59:38 AM - last post 3/18/2003; 10:59:38 AM
Ehud Lamm - Tarski's fixpoint theorem - history of use  blueArrow
3/18/2003; 10:59:38 AM (reads: 1466, responses: 0)
Tarski's fixpoint theorem - history of use
I'm curious to know the earliest paper that identifies Tarski's theorem regarding the existence of least/greatest fixpoints of monotonic functions on a complete lattice ("A Lattice Theoretical Fixpoint Theorem and its Applications", Pacific J. of Math. 5, 285-309, 1955) as the basis for termination of the standard dataflow analysis algorithms.

An interesting thread about the use of the Knaster-Tarski theorems for programming language semantics.


Posted to theory by Ehud Lamm on 3/18/03; 11:02:26 AM