Lecture 13: Unification

After completing the proof that residuating equalities is sound and complete, we present the algorithm for unification in the form of a deductive system. At first, we ignore the treatment of parameters and consider purely existential unification.

Reading

• Handout 10 on Unification (also availabe in PDF format).

Key Concepts

• Existential variables
• Unification
• Substitution
• Composition of substitution
• Unifier
• Most general unifier

Links

• Previous lecture: Residuating Equality
• Next lecture: Substitutions