Proving Termination of Rewrite Systems Using Bounds
نویسندگان
چکیده
The use of automata techniques to prove the termination of string rewrite systems and left-linear term rewrite systems is advocated by Geser et al. in a recent sequence of papers. We extend their work to non-left-linear rewrite systems. The key to this extension is the introduction of so-called raise rules and the use of tree automata that are not quite deterministic. Furthermore, we present negative solutions to two open problems related to string rewrite systems.
منابع مشابه
توسعه روش SL با ترتیب KBO برای اثبات خودکار پایانپذیری سیستم بازنویسی ترم - مقاله برگزیده هفدهمین کنفرانس ملی انجمن کامپیوتر ایران
The term rewriting systems (TRSs) is an abstract model of functional languages. The termination proving of TRSs is necessary for confirming accuracy of functional languages. The semantic labeling (SL) is a complete method for proving termination. The semantic part of SL is given by a quasi-model of the rewrite rules. The most power of SL is related to infinite models that is difficult f...
متن کاملMatch-Bounds with Dependency Pairs for Proving Termination of Rewrite Systems
The match-bound technique is a recent and elegant method to prove the termination of rewrite systems using automata techniques. To increase the applicability of the method we incorporate it into the dependency pair framework. The key to this is the introduction of two new enrichments which take the special properties of dependency pair problems into account.
متن کاملCdiprover3: A Tool for Proving Derivational Complexities of Term Rewriting Systems
This paper describes cdiprover3 a tool for proving termination of term rewrite systems by polynomial interpretations and context dependent interpretations. The methods used by cdiprover3 induce small bounds on the derivational complexity of the considered system. We explain the tool in detail, and give an overview of the employed proof methods.
متن کاملProving Quadratic Derivational Complexities Using Context Dependent Interpretations
In this paper we study context dependent interpretations, a semantic termination method extending interpretations over the natural numbers, introduced by Hofbauer. We present two subclasses of context dependent interpretations and establish tight upper bounds on the induced derivational complexities. In particular we delineate a class of interpretations that induces quadratic derivational compl...
متن کاملProving Termination of Programs Automatically with AProVE
AProVE is a system for automatic termination and complexity proofs of Java, C, Haskell, Prolog, and term rewrite systems (TRSs). To analyze programs in high-level languages, AProVE automatically converts them to TRSs. Then, a wide range of techniques is employed to prove termination and to infer complexity bounds for the resulting TRSs. The generated proofs can be exported to check their correc...
متن کامل