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Daniel Hillerström
2020-10-21 01:53:27 +01:00
parent efcdcd49a2
commit a0ed7d2dfd
1 changed files with 4 additions and 2 deletions
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thesis.tex
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@@ -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.
\]
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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.
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\begin{definition}
A homogeneous relation $R \subseteq A \times A$ is said to be