Finite and Rational Tree Constraints

Abstract

This paper present* an incremental and Lasy daemon procedure for the fint-order equality theory over a Herforand universe (Clark equality theory) as well as for that of rational trees. The pruceduie is based on a conjunctive normal form and consists of two algorithms, one algorithm to decide satisfiability and one for transforming a universally quantified negated constraint into a new constraint in normal form. We will also show that a general formula in either theory can be rewritten into an equivalent normal form, thus providing a general decision procedure. The normal form and the design of the decision procedure have been chosen to meet the requirements of a concurrent constraint Tig language.