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axiomatic semantics


eory> A set of assertions about properties of a system and how they are effected by program execution. The axiomatic semantics of a program could include pre- and post-conditions for operations. In particular if you view the program as a state transformer (or collection of state transformers), the axiomatic semantics is a set of invariants on the state which the state transformer satisfies. e.g. for a function with the type: sort_list :: [T] -> [T] we might give the precondition that the argument of the function is a list, and a postcondition that the return value is a list that is sorted. One interesting use of axiomatic semantics is to have a language that has a ef="module.php?name=Lexikon&file=search&eid=1&query=finitely computable">finitely computable sublanguage that is used for specifying pre and post conditions, and then have the compiler prove that the program will satisfy those conditions. See also ef="module.php?name=Lexikon&file=search&eid=1&query=operational semantics">operational semantics, ef="module.php?name=Lexikon&file=search&eid=1&query=denotational semantics">denotational semantics. (1995-11-09)

e="border-width:thin; border-color:#333333; border-style:dashed; padding:5px;" align="left">In addition suitable contents:
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