Dis-unification (computer science)

Dis-unification, in computer science and logic, is an algorithmic process of solving inequations between symbolic expressions.

Publications on dis-unification

Alain Colmerauer (1984). "Equations and Inequations on Finite and Infinite Trees". In ICOT. Proc. Int. Conf. on Fifth Generation Computer Systems. pp. 85–99.
Hubert Comon (1986). "Sufficient Completeness, Term Rewriting Systems and "Anti-Unification"". Proc. 8th International Conference on Automated Deduction. LNCS. 230. Springer. pp. 128–140.
"Anti-Unification" here refers to inequation-solving, a naming which nowadays has become quite unusual, cf. Anti-unification (computer science).
Hubert Comon (1988). Unification et disunification: Théorie et applications (PDF) (Ph.D.). I.N.P. de Grenoble.
Comon, Hubert (1990). "Equational Formulas in Order-Sorted Algebras". Proc. ICALP.
Comon shows that the first-order logic theory of equality and sort membership is decidable, that is, each first-order logic formula built from arbitrary function symbols, "=" and "∈", but no other predicates, can effectively be proven or disproven. Using the logical negation (¬), non-equality (≠) can be expressed in formulas, but order relations (<) cannot. As an application, he proves sufficient completeness of term rewriting systems.
Hubert Comon (1991). "Disunification: A Survey". In Jean-Louis Lassez and Gordon Plotkin. Computational Logic — Essays in Honor of Alan Robinson. MIT Press. pp. 322–359.
Hubert Comon (1993). "Complete Axiomatizations of some Quotient Term Algebras". Proc. 18th Int. Coll. on Automata, Languages, and Programming (PDF). LNCS. 510. Springer. pp. 148–164. Retrieved 29 June 2013.

Dis-unification (computer science)

Publications on dis-unification

See also