Axiomatic semantics

Axiomatic semantics is an approach based on mathematical logic for proving the correctness of computer programs. It is closely related to Hoare logic.

Axiomatic semantics define the meaning of a command in a program by describing its effect on assertions about the program state. The assertions are logical statements—predicates with variables, where the variables define the state of the program.

See also

• Algebraic semantics (computer science) — in terms of algebras
• Denotational semantics — by translation of the program into another language
• Operational semantics — in terms of the state of the computation
• Formal semantics of programming languages — overview
• Predicate transformer semantics — describes the meaning of a program fragment as the function transforming a postcondition to the precondition needed to establish it.
• Assertion (computing)

References

1. Semantics (computer science)
2. Abstract data type
3. Operational semantics
4. Semantics
5. Denotational semantics
6. Axiomatic system
7. Programming language theory
8. Algebraic semantics (computer science)
9. Formal verification
10. Modal logic
11. Predicate transformer semantics
12. Static program analysis
13. Richard Montague
14. Set theory
15. Computer program
16. Semantics of logic
17. Prototype theory
18. Cognitive semantics
19. Extension (semantics)
20. Axiom