Generalizations of Unification

✍ Scribed by Alessandro Berarducci; Marisa Venturini Zilli

• Book ID: 102974099
• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 816 KB
• Volume: 16
• Category: Article
• ISSN: 0747-7171
• DOI: 10.1006/jsco.1993.1059

✦ Synopsis

We define a general notion of (syntactic) unification, the (77, ~-unification, whose special cases are matching, unification, semi-unification, and weak-unification. We settle all the implications between the various cases of (77, ~)-unification leading to a classification and a decidability result. We show that some distinctions holding for finite terms collapse for infinite terms. We give some positive results on the existence of most general weak-unifiers.