Path ordering (term rewriting)

Path ordering is a concept used in term rewriting and automated theorem proving to establish a well-founded ordering on terms, which helps ensure termination of rewriting processes. It is particularly relevant in the context of term rewriting systems (TRS), where rewriting rules are applied to transform terms into simpler or more canonical forms. ### Key Concepts: 1. **Terms**: In term rewriting, terms are representations of expressions that can include variables, constants, and function symbols.