Axiomatic Semantics is an approach based on mathematical logic to proving the correctness of computer programs. It is closely related to Hoare logic. Mathematical logic is a discipline within mathematics, studying formal systems in relation to the way they encode intuitive concepts of proof and computation as part of the foundations of mathematics. ... In theoretical computer science, correctness of an algorithm is asserted when it is said that the algorithm is correct with respect to a specification. ... A computer program (often simply called a program) is an example of computer software that prescribes the actions (computations) that are to be carried out by a computer. ... Hoare logic (also known as Floyd–Hoare logic) is a formal system developed by the British computer scientist C. A. R. Hoare, and subsequently refined by Hoare and other researchers. ...

See also

• Denotational semantics
• Operational semantics