Towards an HRS Category in TermCOMP
Abstract
We show that there is a simple syntactically-defined subclass of higher-order benchmarks in the termination problem database for which rewriting according to Nipkow's higher-order rewrite systems (HRSs) and rewriting according to a beta-first strategy in the semantics of TermCOMP's higher-order category coincide. This lays the formal foundation for an HRS (sub)category in TermCOMP which would allow more tools to compete against each other.
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