Definition:Concatenation of URM Programs
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Definition
Let $P$ and $Q$ be URM programs.
The concatenation of $P$ and $Q$ is denoted $P * Q$.
It consists of program $P$ followed immediately by program $Q$.
If $P$ and $Q$ compute particular functions, then it is usually necessary to make modifications to either $P$ or $Q$, or both, to make sure that the concatenated program continues to compute a function.
The simplest concatenation is illustrated in Composition of One-Variable URM Computable Functions.