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Published in:
2008 | OriginalPaper | Chapter
Attribute Grammars and Categorical Semantics
Author : Shin-ya Katsumata
Published in: Automata, Languages and Programming
Publisher: Springer Berlin Heidelberg
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We give a new formulation of attribute grammars (AG for short) called
monoidal
AGs
in traced symmetric monoidal categories. Monoidal AGs subsume existing domain-theoretic, graph-theoretic and relational formulations of AGs. Using a 2-categorical aspect of monoidal AGs, we also show that every monoidal AG is equivalent to a synthesised one when the underlying category is closed, and that there is a sound and complete translation from local dependency graphs to relational AGs.