Efficient top-down set-sharing analysis using cliques

Abstract. We study the problem of efficient, scalable set-sharing analysis of logic programs. We use the idea of representing sharing information as a pair of abstract substitutions, one of which is a worst-case sharing representation called a clique set, which was previously proposed for the case of inferring pair-sharing. We use the clique-set representation for (1) inferring actual set-sharing information, and (2) analysis within a top-down framework. In particular, we define the new abstract functions required by standard top-down analyses, both for sharing alone and also for the case of including freeness in addition to sharing. We use cliques both as an alternative representation and as widening, defining several widening operators. Our experimental evaluation supports the conclusión that, for inferring set-sharing, as it was the case for inferring pair-sharing, precisión losses are limited, while useful efficieney gains are obtained. We also derive useful conclusions regarding the interactions between thresholds, precisión, efficieney and cost of widening. At the limit, the clique-set representation allowed analyzing some programs that exceeded memory capacity using classical sharing representations.

Sharing, freeness, linearity, redundancy, widenings, and cliques

We discuss here different variants of the Sharing abstract domain, including the base domain that captures set-sharing, a variant to capture pairsharing, in which redundant sharing groups (w.r.t. the pair-sharing property) can be eliminated, and an alternative representation based on cliques. The original proposal for using cliques in the non-redundant version of the domain is reviewed, then extended to the base domain. Variants of all the domains including freeness alone, and freeness together with linearity are also studied.