An algorithm is formally defined within Computer Science and discrete mathematics as a finite sequence of well-defined instructions designed to transform specific inputs into one or more outputs. This theoretical construct must satisfy five essential properties: finiteness, definiteness (unambiguity), effectiveness (executability via known steps), generality regarding zero-to-many input/output capabilities, and termination guaranteeing the procedure halts upon completing its objective function without unnecessary operations. These characteristics distinguish algorithms from non-terminating processes or infinite loops in computing systems by ensuring logical closure and deterministic result generation.
An algorithm is formally defined within Computer Science and discrete mathematics as a finite sequence of well-defined instructions designed to transform specific inputs into one or more outputs. Thi…