Binary-Decision-Diagrams for Set Abstraction

Arlen Cox

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arXiv · 1503.01547

Binary-Decision-Diagrams for Set Abstraction

Arlen Cox

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Abstract

Whether explicit or implicit, sets are a critical part of many pieces of software. As a result, it is necessary to develop abstractions of sets for the purposes of abstract interpretation, model checking, and deductive verification. However, the construction of effective abstractions for sets is challenging because they are a higher-order construct. It is necessary to reason about contents of sets as well as relationships between sets. This paper presents a new abstraction for sets that is based on binary decision diagrams. It is optimized for precisely and efficiently representing relations between sets while still providing limited support for content reasoning.

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Arlen Cox. 2015-03-05. Binary-Decision-Diagrams for Set Abstraction. https://arxiv.org/abs/1503.01547

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