Senescent Ground Tree Rewrite Systems

被引:0
|
作者
Hague, M. [1 ]
机构
[1] Royal Holloway Univ London, Egham, Surrey, England
基金
英国工程与自然科学研究理事会;
关键词
Ground tree rewrite systems; ground term rewrite systems; automata; concurrency; scope-bounding; bounded-context switches; under-approximation; reachability; petri-nets; reset petri-nets; Ackermann-hard; pushdown systems; MODEL CHECKING; LTL;
D O I
10.1145/2603088.2603112
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Ground Tree Rewrite Systems with State are known to have an undecidable control state reachability problem. Taking inspiration from the recent introduction of scope-bounded multi-stack pushdown systems, we define Senescent Ground Tree Rewrite Systems. These are a restriction of ground tree rewrite systems with state such that nodes of the tree may no longer be rewritten after having witnessed an a priori fixed number of control state changes. As well as generalising scope-bounded multi-stack pushdown systems, we show - via reductions to and from reset Petri-nets - that these systems have an Ackermann-complete control state reachability problem. However, reachability of a regular set of trees remains undecidable.
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页数:10
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