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Dijkstra: guarded commands and a calculus for deriving programs

Dijkstra introduced guarded alternatives and loops with nondeterministic choice, then described their semantics through weakest preconditions. Invariants and decreasing integer variants provide a discipline for deriving programs that satisfy a requested result and terminate.

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Dijkstra introduced guarded alternatives and loops with nondeterministic choice, then described their semantics through weakest preconditions. Invariants and decreasing integer variants provide a discipline for deriving programs that satisfy a requested result and terminate. A program can allow several actions while requiring every permitted choice to remain correct. Dijkstra attached a Boolean guard to each action, gave alternatives and loops different behavior when all guards are false, and used predicate transformers to work backward from the desired result. His maximum and greatest-common-divisor examples connect the rules to program construction.

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Scientific scope

The 1975 calculus applies to its specified program constructs. Invariants and variants still require invention; it is not an automatic program-synthesis algorithm or a proof that every program can be developed this way.

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People and systems

Edsger W. Dijkstra

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English catalogue narrative

Dijkstra: guarded commands and a calculus for deriving programs

Dijkstra introduced guarded alternatives and loops with nondeterministic choice, then described their semantics through weakest preconditions. Invariants and decreasing integer variants provide a discipline for deriving programs that satisfy a requested result and terminate.

A program can allow several actions while requiring every permitted choice to remain correct. Dijkstra attached a Boolean guard to each action, gave alternatives and loops different behavior when all guards are false, and used predicate transformers to work backward from the desired result. His maximum and greatest-common-divisor examples connect the rules to program construction.

Scientific scope

The 1975 calculus applies to its specified program constructs. Invariants and variants still require invention; it is not an automatic program-synthesis algorithm or a proof that every program can be developed this way.

People and systems

Edsger W. Dijkstra

Original sources