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Dependencies and transitive dependencies can be resolved at different times, depending on how the computer program is assembled and/or executed: e.g. a compiler can have a link phase where the dependencies are resolved. Sometimes the build system even allows management of the transitive dependencies. [citation needed]
Control dependency is a situation in which a program instruction executes if the previous instruction evaluates in a way that allows its execution. A statement S2 is control dependent on S1 (written S 1 δ c S 2 {\displaystyle S1\ \delta ^{c}\ S2} ) if and only if S2' s execution is conditionally guarded by S1 .
The transitive closure of this relation is a different relation, namely "there is a sequence of direct flights that begins at city x and ends at city y". Every relation can be extended in a similar way to a transitive relation. An example of a non-transitive relation with a less meaningful transitive closure is "x is the day of the week after y".
A depends on B and C; B depends on D. Given a set of objects and a transitive relation with (,) modeling a dependency "a depends on b" ("a needs b evaluated first"), the dependency graph is a graph = (,) with the transitive reduction of R.
A data dependency in computer science is a situation in which a program statement (instruction) refers to the data of a preceding statement. In compiler theory , the technique used to discover data dependencies among statements (or instructions) is called dependence analysis .
Control dependencies are dependencies introduced by the code or the programming algorithm itself. They control the order in which instructions occur within the execution of code. [4] One common example is an "if" statement. "if" statements create branches in a program.
This relation need not be transitive. The transitive extension of this relation can be defined by (A, C) ∈ R 1 if you can travel between towns A and C by using at most two roads. If a relation is transitive then its transitive extension is itself, that is, if R is a transitive relation then R 1 = R.
Incremental computation can be achieved by building a dependency graph of all the data elements that may need to be recalculated, and their dependencies. The elements that need to be updated when a single element changes are given by the transitive closure of the dependency relation of the graph. In other words, if there is a path from the ...