diff --git a/thesis.tex b/thesis.tex index 0cc5fd0..294dfab 100644 --- a/thesis.tex +++ b/thesis.tex @@ -332,8 +332,10 @@ $R^n$, is defined inductively. R^0 \defas \emptyset, \quad\qquad R^1 \defas R, \quad\qquad R^{1 + n} \defas R \circ R^n. \] % -Reflexive and transitive relations and their closures feature -prominently in the dynamic semantics of programming languages. +Homogeneous relations play a prominent role in the design and +operational understanding of programming languages. There are two +particular properties and associated closure operations of homogeneous +relations that reoccur throughout this dissertation. % \begin{definition} A homogeneous relation $R \subseteq A \times A$ is said to be