## One More Step Towards Generalized Graph-Based Weakly Relational Domains

**Authors:** Sven de Smet

This paper proposes to extend graph-based weakly relational domains
to a generalized relational context. Using a new definition of coherence, we show
that the definition of a normal form for this domain is simplified. A transitive closure
algorithm for combined relations is constructed and a proof of its correctness
is given. Using the observed similarity between transitive closure of a combined
relation and the normal form closure of a graph-based weakly relational domain,
we extract a mathematical property that a relational abstract domain must satisfy in
order to allow us to use an algorithm with the same form as the transitive closure
algorithm to compute the normal form of a graph-based weakly relational domain.

**Comments:** 21 pages. This paper is a slightly modified version of a draft paper that was submitted to ParCo 2011 and is very preliminary. Since I do not have the resources to complete this paper by increasing its clarity, adding examples, adding an experimental evaluation and adding a section on related work,
I'm making it available so that it may be useful to others.

**Download:** **PDF**

### Submission history

[v1] 22 Aug 2011

**Unique-IP document downloads:** 47 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*