"Reduction in TLA" Ernie Cohen and Leslie Lamport Note #1998-005, March 10, 1998 Reduction theorems allow one to deduce properties of a concurrent system specification from properties of a simpler, coarser-grained version called the reduced specification. We present reduction theorems based upon a more precise relation between the original and reduced specifications than earlier ones, permitting the use of reduction to reason about a larger class of properties. In particular, we present reduction theorems that handle general liveness properties.