NDLI: Parametric temporal logic for “model measuring”

Content Provider	ACM Digital Library
Author	Peled, Doron Alur, Rajeev La torre, Salvatore Etessami, Kousha
Copyright Year	2001
Abstract	We extend the standard model checking paradigm of linear temporal logic, LTL, to a “model measuring” paradigm where one can obtain more quantitative information beyond a “Yes/No” answer. For this purpose, we define a parametric temporal logic, PLTL, which allows statements such as “a request $\textit{p}$ is followed in at most $\textit{x}$ steps by a response $\textit{q},”$ where $\textit{x}$ is a free variable. We show how one can, given a formula $*(\textit{x1...,xk})$ of PLTL and a system model $\textit{K}$ satisfies the property *, but if so find valuations which satisfy various optimality criteria. In particular, we present algorithms for finding valuations which minimize (or maximize) the maximum (or minimum) of all parameters. Theses algorithms exhibit the same PSPACE complexity as LTL model checking. We show that our choice of syntax for PLTL lies at the threshold of decidability for parametric temporal logics, in that several natural extensions have undecidable “model measuring” problems.
Starting Page	388
Ending Page	407
Page Count	20
File Format	PDF
ISSN	15293785
e-ISSN	1557945X
DOI	10.1145/377978.377990
Volume Number	2
Issue Number	3
Journal	ACM Transactions on Computational Logic (TOCL)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2001-07-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Model checking Quantitative analysis Temporal logic
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Logic Computational Mathematics Computer Science

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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