Unboundedness and downward closures of higher-order pushdown automata

Author:

Hague Matthew1,Kochems Jonathan2,Ong C.-H. Luke2

Affiliation:

1. University of London, UK

2. University of Oxford, UK

Abstract

We show the diagonal problem for higher-order pushdown automata (HOPDA), and hence the simultaneous unboundedness problem, is decidable. From recent work by Zetzsche this means that we can construct the downward closure of the set of words accepted by a given HOPDA. This also means we can construct the downward closure of the Parikh image of a HOPDA. Both of these consequences play an important role in verifying concurrent higher-order programs expressed as HOPDA or safe higher-order recursion schemes.

Funder

Engineering and Physical Sciences Research Council

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design,Software

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Cost Automata, Safe Schemes, and Downward Closures;Fundamenta Informaticae;2023-04-07

2. General Decidability Results for Asynchronous Shared-Memory Programs: Higher-Order and Beyond;Tools and Algorithms for the Construction and Analysis of Systems;2021

3. RECURSION SCHEMES, THE MSO LOGIC, AND THE U QUANTIFIER;LOG METH COMPUT SCI;2020

4. Weighted automata with storage;Information and Computation;2019-12

5. Recursion Schemes and the WMSO plus U Logic;LEIBNIZ INT PR INFOR;2018

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3