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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