… Since our test for confluence is decidable for terminating programs, it can also be used to …
a declarative semantics in our sense. On the theoretical side we also show that confluence …

… semantics of Constraint Handling Rules. We assume some familiarity with (concurrent)
constraint … Since simpagation rules are abbreviations for simplification rules there is no need to …

… Constraints can be removed using simplification rules. In this … rules into simplification rules
using the concept of confluence. … Confluence and semantics of constraint simplification rules. …

… In this section we give syntax and semantics as well as soundness and completeness
results for Constraint Simpli cation Rules (CSR). We assume some familiarity with C4L …

… With CHR one simplifies and solves constraints by applying rules. … We show that confluence
implies correctness of a program. By correctness we mean that the declarative semantic of a …

… semantics, it is also confluent under the refined semantics. Then, we provide a practical (partial)
confluence test … For simplicity, we consider both simplification and propagation rules as …

… and simplified correctness proofs. A new operational … semantics suitable for considering
confluence. We use the generalized simpagation form as a common representation for the rules …

… make a comparison with operational semantics used in earlier work on confluence for CHR.
In … 2 The rule in the example program is a so-called simplification rule. CHR also includes …

… by confluence only holds when programs are considered with respect to the most general
operation semantics for CHR, namely the very abstract semantics. … (eg confluence simplifies …

… semantic confluence approach. First, we show that the system (R, E) is terminating, with
E empty, To show termination if suffices to find a simplification … Such 7 we call super-constrained, …