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Titlebook: Higher-Order Algebra, Logic, and Term Rewriting; First International Jan Heering,Karl Meinke,Tobias Nipkow Conference proceedings 1994 Spr

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Origin tracking for higher-order term rewriting systems,discuss how origin information can be maintained for . reductions and expansions, during higher-order rewriting. We give a definition of higher-order origin tracking. The suitability of this definition is illustrated with a small, existing specification.
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Interaction systems,suing this analogy, we define an encoding of Interaction Systems into Girard‘s Linear Logic, passing through Danos and Regnier‘s . (IS‘s are untyped). Using the local implementation of boxes in [9], the translation of IS‘s into Pure Nets provides the intermediate step towards their . implementation (in Lamping style [12]) described in [4].
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Ordered and continuous models of higher-order specifications,extensionality. To restore it, generally a quotient has to be taken. It is shown that under certain conditions this preserves the existence of least fixpoints. Examples of the specification method include the essential concepts of Backus‘s FP and Hoare‘s CSP.
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