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 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 operational semantics, denotational semantics.
pertaining to or of the nature of an axiom; self-evident; obvious. aphoristic. Contemporary Examples Which is to say, the existence of a bad thing does not imply, axiomatically, that there is a legislative solution to it. Even Good Laws Sometimes Don’t Work Megan McArdle October 30, 2012 To people on the right, it’s axiomatically the […]
noun the process of defining mathematical systems by a set of axioms Examples The Boolean logic of propositions has many different axiomatizations which are formally equivalent.
a hypothetical particle having no charge, zero spin, and small mass: postulated in some forms of quantum chromodynamics. noun (physics) a hypothetical neutral elementary particle postulated to account for certain conservation laws in the strong interaction n. 1978, from axial + scientific suffix -on.
axioplasm axioplasm ax·i·o·plasm (āk’sē-ə-plāz’əm) n. Variant of axoplasm.