In this chapter we develop a higher-order extension of acyclic sharing theories, i.e. an extension with lambda abstractions and applications. There has been considerable research on such settings, notably higher-order graph rewriting theory, also called lambda graph rewriting systems, which are led by a practical demand for efficient implementation techniques for functional programming languages.
KeywordsMonoidal Category Additional Axiom Sharing Theory Sharing Structure Symmetric Monoidal Category
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