Authors
Renyan Feng
Erman Acar
Stefan Schlobach
Yisong Wang
Wanwei Liu
Date (dd-mm-yyyy)
2020
Title
On sufficient and necessary conditions in bounded CTL
Subtitle
A forgetting approach
Publication Year
2020
Number of pages
10
Publisher
International Joint Conference on Artificial Intelligence (IJCAI)
Document type
Conference contribution
Abstract

Computation Tree Logic (CTL) is one of the central formalisms in formal verification. As a specification language, it is used to express a property that the system at hand is expected to satisfy. From both the verification and the system design points of view, some information content of such property might become irrelevant for the system due to various reasons, e.g., it might become obsolete by time, or perhaps infeasible due to practical difficulties. Then, the problem arises on how to subtract such piece of information without altering the relevant system behaviour or violating the existing specifications over a given signature. Moreover, in such a scenario, two crucial notions are informative: the strongest necessary condition (SNC) and the weakest sufficient condition (WSC) of a given property. To address such a scenario in a principled way, we introduce a forgetting-based approach in CTL and show that it can be used to compute SNC and WSC of a property under a given model and over a given signature. We study its theoretical properties and also show that our notion of forgetting satisfies existing essential postulates of knowledge forgetting. Furthermore, we analyse the computational complexity of some basic reasoning tasks for the fragment CTLAFin particular.

Note
Publisher Copyright:
© 2020 17th International Conference on Principles of Knowledge Representation and Reasoning, KR 2020. All rights reserved.
Permalink
https://hdl.handle.net/11245.1/feaebe33-b777-40ab-af8c-27e59d1fde55