substitules
Substitules are a concept primarily found in formal logic and theoretical computer science, referring to a specific type of operation on terms. A substitule is a function that maps variables to terms. When a substitule is applied to a term, it systematically replaces each occurrence of a variable in that term with the term designated for it by the substitule. For example, if a substitule sigma maps variable 'x' to term 'y + 1' and variable 'y' to term 'z', then applying sigma to the term 'x * y' would result in '(y + 1) * z'.
The importance of substitules lies in their role in unification algorithms, which are fundamental to automated