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The Guarded Command Language (GCL) is a programming language defined by Edsger Dijkstra for predicate transformer semantics in EWD472. [1] It combines programming concepts in a compact way. It makes it easier to develop a program and its proof hand-in-hand, with the proof ideas leading the way; moreover, parts of a program can actually be ...
Predicate transformer semantics were introduced by Edsger Dijkstra in his seminal paper "Guarded commands, nondeterminacy and formal derivation of programs".They define the semantics of an imperative programming paradigm by assigning to each statement in this language a corresponding predicate transformer: a total function between two predicates on the state space of the statement.
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The Guarded Command Language (GCL) of Edsger Dijkstra supports conditional execution as a list of commands consisting of a Boolean-valued guard (corresponding to a condition) and its corresponding statement. In GCL, exactly one of the statements whose guards is true is evaluated, but which one is arbitrary.
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Guards are the fundamental concept in Guarded Command Language, a language in formal methods. Guards can be used to augment pattern matching with the possibility to skip a pattern even if the structure matches. Boolean expressions in conditional statements usually also fit this definition of a guard although they are called conditions.
5 This repetition ends when b = 0, in which case the variables hold the solution to Bézout's identity: xa + yb = gcd(a,b).