reflexive transitive closure การใช้

• The relational example constitutes a relation algebra equipped with an operation of reflexive transitive closure.
• Let \ Rightarrow ^ { * } be the reflexive transitive closure of the relation \ Rightarrow.
• The extended transition relation is essentially the reflexive transitive closure of the transition graph that has been augmented to take edge labels into account.
• Taking + to be the union, ?to be the composition and * to be the reflexive transitive closure, we obtain a Kleene algebra.
• In Conway's model, " a " is reflexive and transitive, whence its reflexive transitive closure should be " a ".
• A zero-or-more-steps rewriting like this is captured by the reflexive transitive closure of \ xrightarrow [ R ] { }, denoted by \ xrightarrow [ R ] { * } ( see abstract rewriting system # Basic notions ).
• Taking that as the definition of reflexive transitive closure of " a ", we then have that for every element " a " of any action algebra, " a " * is the reflexive transitive closure of " a ".
• Taking that as the definition of reflexive transitive closure of " a ", we then have that for every element " a " of any action algebra, " a " * is the reflexive transitive closure of " a ".