Concept:
Böhm-Jacopini theorem
Headline
An expressiveness theorem on structured programming
Citation
(https://en.wikipedia.org/wiki/Structured_program_theorem, 12 November 2015)
The structured program theorem, also called Böhm-Jacopini theorem, is a result in programming language theory. It states that a class of control flow graphs (historically called charts in this context) can compute any computable function if it combines subprograms in only three specific ways (control structures). These are
- Executing one subprogram, and then another subprogram (sequence)
- Executing one of two subprograms according to the value of a boolean expression (selection)
- Executing a subprogram until a boolean expression is true (iteration)
Illustration
The folk version of the theorem is illustrated with a simple approach towards goto elimination.
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