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Computer Sciences

Computer Science Faculty Publications and Presentations

2015

Computational Complexity

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Needed Computations Shortcutting Needed Steps, Sergio Antoy, Jacob Johannsen, Steven Libby Jan 2015

Needed Computations Shortcutting Needed Steps, Sergio Antoy, Jacob Johannsen, Steven Libby

Computer Science Faculty Publications and Presentations

We define a compilation scheme for a constructor-based, strongly-sequential, graph rewriting system which shortcuts some needed steps. The object code is another constructor-based graph rewriting system. This system is normalizing for the original system when using an innermost strategy. Consequently, the object code can be easily implemented by eager functions in a variety of programming languages. We modify this object code in a way that avoids total or partial construction of the contracta of some needed steps of a computation. When computing normal forms in this way, both memory consumption and execution time are reduced compared to ordinary rewriting computations …