Algorithmic logic


Algorithmic logic is a calculus of programs which allows the expression of semantic properties of programs by appropriate logical formulas. It provides a framework that enables proving the formulas from the axioms of program constructs such as assignment, iteration and composition instructions and from the axioms of the data structures in question see,.
The following diagram helps to locate algorithmic logic among other logics.


The formalized language of algorithmic logic contains three types of well formed expressions: Terms - i.e. expressions denoting operations on elements of data structures,
formulas - i.e. expressions denoting the relations among elements of data structures, programs - i.e. algorithms - these expressions describe the computations.
For semantics of terms and formulas consult pages on first order logic and Tarski's semantic. The meaning of a program is the set of possible computations of the program.
Algorithmic logic is one of many logics of programs.
Another logic of programs is dynamic logic, see dynamic logic,.