VSL 2014: VIENNA SUMMER OF LOGIC 2014

First-Order Formative Rules

Authors: Carsten Fuhs and Cynthia Kop

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Paper Information

Title:First-Order Formative Rules
Authors:Carsten Fuhs and Cynthia Kop
Proceedings:RTA-TLCA 2014 LNCS Proceedings
Editor: Gilles Dowek
Keywords:termination analysis, usable rules, first-order term rewriting, higher-order term rewriting
Abstract:

ABSTRACT. This paper discusses the method of formative rules for first-order rewriting, which was previously defined for a class of higher-order rewriting. Dual to the well-known notion of usable rules, this technique allows for further simplifications of the term constraints that need to be solved during a termination proof. Compared to the higher-order definition, we can obtain significant improvements in the first-order setting, with or without types.

Pages:15
Talk:Jul 15 11:45
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