An axiomatic specification of the semantics of a language construct implies that if the precondition is true,then the postcondition is true.

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In axiomatic semantics, a precondition specifies the conditions that must hold true before a statement or program can be executed. A postcondition specifies the expected result or state that should hold true after the execution of the statement or program. Thus, if the precondition is met, then according to the axioms of the semantics, the postcondition must also be true.

An Axiomatic Specification of the Semantics of a Language Construct