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arXiv · 1902.04809

Rewriting Abstract Structures: Materialization Explained Categorically

Andrea Corradini·Tobias Heindel·Barbara König·Dennis Nolte·Arend Rensink
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Abstract

The paper develops an abstract (over-approximating) semantics for double-pushout rewriting of graphs and graph-like objects. The focus is on the so-called materialization of left-hand sides from abstract graphs, a central concept in previous work. The first contribution is an accessible, general explanation of how materializations arise from universal properties and categorical constructions, in particular partial map classifiers, in a topos. Second, we introduce an extension by enriching objects with annotations and give a precise characterization of strongest post-conditions, which are effectively computable under certain assumptions.

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Andrea Corradini, Tobias Heindel, Barbara König, Dennis Nolte, Arend Rensink. 2019-02-13. Rewriting Abstract Structures: Materialization Explained Categorically. https://arxiv.org/abs/1902.04809

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