Demand-Driven Normalisation for ACD Term Rewriting

ACD Term Rewriting (ACDTR) is term rewriting modulo associativity, commutativity, and a limited form of distributivity called conjunctive context. Previous work presented an implementation for ACDTR based on bottom-up eager normalisation, extended to support the conjunctive context. This paper investigates the possibility of using a demand-driven normalisation strategy for ACDTR. Again, dealing with the conjunctive context proves to be challenging. The alternative normalisation strategy is compared with the current form of eager normalisation and potential further improvements on the strategy are investigated.