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1. Temporal Logic - Wikipedia, The Free Encyclopedia
In logic, the term Temporal logic is used to describe any system of rules and symbolism for representing, and reasoning about, propositions qualified in
http://en.wikipedia.org/wiki/Temporal_logic
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##### Temporal logic
Jump to: navigation search In logic , the term temporal logic is used to describe any system of rules and symbolism for representing, and reasoning about, propositions qualified in terms of time . It is sometimes also used to refer to tense logic , a particular modal logic -based system of temporal logic introduced by Arthur Prior in the . Subsequently it has been developed further by computer scientists , notably Amir Pnueli , and logicians Temporal logic was first studied in depth by Aristotle , whose writings are filled with a crude form of first-order temporal modal binary logic. Any logic which uses the existential quantifier or the universal quantifier is said to be a first-order logic . Any logic which views time as a sequence of states is a temporal logic, and any logic which uses only two truth values is a binary logic Consider the statement: "I am hungry." Though its meaning is constant in time, the truth value of the statement can vary in time. Sometimes the statement is true, and sometimes the statement is false, but the statement is never true and false simultaneously. In a temporal logic, statements can have a truth value which can vary in time. Contrast this with an atemporal logic, which can only handle statements whose truth value is constant in time. In a temporal logic we can then express statements like "I am always hungry", "I will

2. Temporal Logic (Stanford Encyclopedia Of Philosophy)
The term Temporal logic has been broadly used to cover all approaches to the representation of Temporal information within a logical framework,
http://plato.stanford.edu/entries/logic-temporal/
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##### Temporal Logic
First published Mon Nov 29, 1999; substantive revision Thu Dec 11, 2003 The term Temporal Logic has been broadly used to cover all approaches to the representation of temporal information within a logical framework, and also more narrowly to refer specifically to the modal-logic type of approach introduced around 1960 by Arthur Prior under the name of Tense Logic and subsequently developed further by logicians and computer scientists. Applications of Temporal Logic include its use as a formalism for clarifying philosophical issues about time, as a framework within which to define the semantics of temporal expressions in natural language, as a language for encoding temporal knowledge in artificial intelligence, and as a tool for handling the temporal aspects of the execution of computer programs.
##### 1.1 Tense Logic

 3. Foundations Of Temporal Logic - The WWW-site For Prior-studies Foundations of Temporal logic The WWW-site for Prior-studies.http://www.kommunikation.aau.dk/prior/index2.htm

4. TLA - The Temporal Logic Of Actions
TLA (the Temporal logic of Actions) is a logic for specifying and reasoning about concurrent and reactive systems. It is the basis for TLA+,
http://research.microsoft.com/users/lamport/tla/tla.html
##### TLA - The Temporal Logic of Actions
Last modified 9 February 2004 The TLA+ book is available here The TLA+ tools are available here
##### What is TLA?
TLA (the Temporal Logic of Actions) is a logic for specifying and reasoning about concurrent and reactive systems. It is the basis for TLA+, a complete specification language. This Web page will be updated to reflect new work on TLA. I hope that all work on TLA and TLA tools will be accessible from here. If you want to be notified of changes to this page, or if you want your work to be represented here, please send e-mail to Leslie Lamport
Introduction to TLA
Leslie Lamport
16 December 1994
A short (7-page) introduction to what TLA formulas mean. It should allow you to understand TLA specifications.
A Summary of TLA+
This is a 7-page "cheat sheet" that briefly describes all the constructs and built-in operators of TLA+ and the operators defined in the common standard modules, and that lists the user-definable operator symbols and the ascii representations of symbols.
Postscript (300K)
Compressed Postscript (170K) PDF (120K)
PODC 2000 Tutorial Handout
This is the handout from the TLA+ tutorial at PODC 2000. It will be meaningful only to people who attended the tutorial.

5. Temporal Logic Case Study
A case study applying Temporal logic to specify the operation of a bank of identical elevators servicing a number of floors in a building.
http://www.sei.cmu.edu/publications/documents/89.reports/89.tr.024.html
##### Temporal Logic Case Study
Wood, W. Technical Report
CMU/SEI-89-TR-024 PDF File
PostScript File
This report is a case study applying temporal logic to specify the operation of a bank of identical elevators servicing a number of floors in a building. The goal of the study was to understand the application of temporal logic in a problem domain that is appropriate for the method, and to determine some of the strengths and weaknesses of temporal logic in this domain. The case study uses a finite state machine language to build a model of the system specification, and verifies that the temporal logic specifications are consistent using this model. The specification aspires to be complete, consistent, and unambiguous. Privacy Statement

6. Temporal Logic
##### temporal logic
(definition) Definition: A logic with a notion of time included. The formulas can express facts about past, present, and future states. The formulas are interpreted over Kripke structures, which can model computation; hence temporal logic is very useful in formal verification Author: SKS
##### Implementation
The SMV model checker. Go to the Dictionary of Algorithms and Data Structures home page. If you have suggestions, corrections, or comments, please get in touch with Paul E. Black Entry modified 17 December 2004.
HTML page formatted Mon Sep 11 09:46:08 2006. Cite this as:
Sandeep Kumar Shukla, "temporal logic", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology . 17 December 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/temporllogic.html

 7. Interval Temporal Logic A flexible notation for both propositional and firstorder reasoning about periods of time found in descriptions of hardware and software systems.http://www.cse.dmu.ac.uk/~cau/itlhomepage/

8. Diagnosing Java Code: Assertions And Temporal Logic In Java Programming
Although traditional assertions can increase the amount of checking that can be done over Java code, there are many checks you just can t perform with them.
http://www.ibm.com/developerworks/java/library/j-diag0723.html
var emailAbstract = "Although traditional assertions can increase the amount of checking that can be done over Java code, there are many checks you just can't perform with them. One way to fill this gap is with temporal logic, a formalism used to describe how a program state will change over time. In this article, Eric Allen discusses assertions, introduces temporal logic, and describes a tool for processing temporal logic assertions in your programs."; Country/region select All of dW AIX and UNIX IBM Systems Information Mgmt Lotus Rational Tivoli WebSphere Architecture Autonomic computing Grid computing Java technology Linux Open source Power Architecture Web development XML dW forums alphaWorks All of IBM Home Products My IBM developerWorks ... Rate this page
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##### Diagnosing Java code: Assertions and temporal logic in Java programming
Introduce temporal logic to assertions to supplement testing Document options Document options requiring JavaScript are not displayed Discuss
Level: Introductory Eric Allen eallen@cs.rice.edu

9. BRICS Lecture Series, Abstracts, 1997
A survey of the field by Jan Chomicki and David Toman. From the 1997 BRICS Lecture Series.
http://www.brics.dk/LS/97/Abs/BRICS-LS-97-Abs/
##### BRICS Lecture Series, Abstracts, 1997
March 24, 1999 This document is also available as PostScript DVI Text
##### References
LS-97-1
PostScript PDF DVI
Jan Chomicki and David Toman.
Temporal Logic in Information Systems
November 1997.
viii+42 pp. Full version to appear in: Logics for Database and Information Systems, Chomicki and Saake (eds.), Kluwer Academic Publishers, 1998.
Abstract: Temporal logic is obtained by adding temporal connectives to a logic language. Explicit references to time are hidden inside the temporal connectives. Different variants of temporal logic use different sets of such connectives. In this chapter, we survey the fundamental varieties of temporal logic and describe their applications in information systems.
Several features of temporal logic make it especially attractive as a query and integrity constraint language for temporal databases. First, because the references to time are hidden, queries and integrity constraints are formulated in an abstract, representation-independent way. Second, temporal logic is amenable to efficient implementation. Temporal logic queries can be translated to an algebraic language. Temporal logic constraints can be efficiently enforced using auxiliary stored information. More general languages, with explicit references to time, do not share these properties.
Recent research has proposed various implementation techniques to make temporal logic practically useful in database applications. Also, the relationships between different varieties of temporal logic and between temporal logic and other temporal languages have been clarified. We report on these developments and outline some of the remaining open research problems.

10. Alur/Henzinger/Kupferman: Alternating-time Temporal Logic
Temporal logic comes in two varieties lineartime Temporal logic assumes implicit universal quantification over all paths that are generated by system
http://www.eecs.berkeley.edu/~tah/Publications/alternating-time_temporal_logic.h
##### Alternating-time Temporal Logic
Rajeev Alur, Thomas A. Henzinger , and Orna Kupferman Temporal logic comes in two varieties: linear-time temporal logic assumes implicit universal quantification over all paths that are generated by system moves; branching-time temporal logic allows explicit existential and universal quantification over all paths. We introduce a third, more general variety of temporal logic: alternating-time temporal logic offers selective quantification over those paths that are possible outcomes of games, such as the game in which the system and the environment alternate moves. While linear-time and branching-time logics are natural specification languages for closed systems, alternating-time logics are natural specification languages for open systems. For example, by preceding the temporal operator "eventually" with a selective path quantifier, we can specify that in the game between the system and the environment, the system has a strategy to reach a certain state. The problems of receptiveness, realizability, and controllability can be formulated as model-checking problems for alternating-time formulas. Depending on whether or not we admit arbitrary nesting of selective path quantifiers and temporal operators, we obtain the two alternating-time temporal logics ATL and ATL*. ATL and ATL* are interpreted over concurrent game structures Journal of the ACM 49:672-713, 2002. Preliminary versions appeared in the

11. Linear Temporal Logic
This contribution contains a shallow embedding of Linear Temporal logic (LTL) based on a coinductive representation of program executions.
http://coq.inria.fr/contribs/LTL.html
##### Linear Temporal Logic
This contribution contains a shallow embedding of Linear Temporal Logic (LTL) based on a co-inductive representation of program executions. Temporal operators are implemented as inductive (respectively co-inductive) types when they are least (respectively greatest) fixpoints. Several general lemmas, that correspond to LTL rules, are proved. Download (archive compatible with Coq V8.1) Author: Solange Coupet-Grimal (Laboratoire d'Informatique Fondamentale de Marseille (LIF, UMR 6166).) Date: July 2002 Keywords: temporal logic, infinite transition systems, co-induction. The README file of the contribution: This page was automatically generated from this description file

12. Modal And Temporal Logic - Course Details - Computing - Imperial College London
Use of Temporal logics LTL and CTL in the model checker NuSMV. logics of knowledge and belief. logics of action and duty, dynamic logic.
http://www.doc.ic.ac.uk/teaching/coursedetails/499
Skip over navigation Quick Navigation Imperial home page A-Z of Departments Courses Research Alumni Faculty of Engineering Faculty of Life Sciences Faculty of Medicine Faculty of Physical Sciences Business School Spectrum (restricted to College users) People finder Help Note: Your browser does not support javascript or you have javascript turned off. Although this will not affect your accessibility to the content of this site, some of the advanced navigation features may not be available to you. Home Teaching Course Details Modal and Temporal Logic Note: Some of the graphical elements of this site are only visible to browsers that support accepted web standards . The content of this site is, however, accessible to any browser or Internet device.
##### Modal and Temporal Logic
Lecturers: Marek Sergot homepage Ian Hodkinson homepage
For course notes click on the lecturers homepages. AIMS To develop skills in the use of modal and temporal logics for specification, knowledge representation and practical reasoning in artificial intelligence and software engineering.
LEARNING OUTCOMES Knowledge and understanding Students should have assimilated the distinctive characteristics of modalities.

13. Using Temporal Logic To Specify Properties
Fortunately, SPIN does include a general propertychecking mechanism If we can state our property in a particular formal Temporal logic, then SPIN will
http://cnx.org/content/m12317/latest/
##### Connexions
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##### Using Temporal Logic to Specify Properties
Module by: Ian Barland John Greiner Moshe Vardi Note: Your browser doesn't currently support MathML. If you are using Microsoft Internet Explorer 6 or above, please install the required MathPlayer plugin . Firefox and other Mozilla browsers will display math without plugins, though they require an additional mathematics fonts package . Any browser can view the math in the Print (PDF) version So far, we've seen some of the built-in checks performed by SPIN: assertions, deadlock, non-progress, and one notion of fairness. But what about other properties we'd like to check for? We might be interested in properties which the implementors of our particular tool weren't interested in, or hadn't thought of. Fortunately, SPIN does include a general property-checking mechanism: If we can state our property in a particular formal temporal logic , then SPIN will allow us to check the property.

 14. The Temporal Logic Of Actions The Temporal logic of actions (TLA) is a logic for specifying and reasoning about concurrent systems. Systems and their properties are represented in thehttp://portal.acm.org/citation.cfm?coll=GUIDE&dl=GUIDE&id=177726

15. Existential Graphs And Tense Logic
It should be noted that this thought is rather similar to ideas involved in the modern treatment of parallel systems with Temporal logic based on branching
http://www.hum.aau.dk/~poe/ARTIKLER/tense_graphs.html
##### Existential Graphs and Tense Logic
by
Department of Communication Aalborg University Langagervej 8 Denmark e-mail: poe@hum.auc.dk Tel: + 45 98 15 85 22 Fax: +45 98 15 94 34
Abstract. In this paper it is argued that the founder of modern tense logic, A.N. Prior was very much inspired by the logic and philosophy of C.S. Peirce. It is also demonstrated how the most important tense logical systems of Prior, K t , K c , and K b , can be reformulated in terms of the existential graphs invented by Peirce. In the 1950s and 1960s A. N. Prior succeeded in re-establishing a logic of time and tenses. It is obvious that the study of Peirce's philosophy meant a great deal to Prior and in his brief presentation of the history of the modern tense logic, to be found in the appendix to Prior's first great tense logical work "Time and Modality" [1957], elaborations of the importance of Peirce for the logic of time makes up about one fourth of the work. On the basis of his studies of Peirce's philosophy Prior even proposed a specific Peircean system of logic [Prior 1967, p.132]. This system he evidently found very attractive. There are many indications that Peirce, as one of the earliest modern philosophers, realized that tenses could, and even should, be reflected in our logic. He formulated his position in the following way:

16. Temporal Logic
As a basis for describing the genetic algorithm we will use a combination of classical firstorder logic, Temporal logic 116 , and probabilistic logic
http://lipas.uwasa.fi/cs/publications/2NWGA/node285.html
Next: Probabilistic Logic Up: Temporal Probabilistic Logic Previous: Temporal Probabilistic Logic
##### Temporal Logic
As a basis for describing the genetic algorithm we will use a combination of classical first-order logic, temporal logic [ , and probabilistic logic [ As far as temporal logic is concerned, our logic is based on temporal intervals, typically denoted I . Intervals may be used in expressions in various ways, using the following operators (table Given an interval I we have the following two operations on intervals. In order to reason within our logic we need to define some basic operators, in addition to the standard first-order logic with its boolean operators (disjunction), (conjunction), (negation), (implication) and (equivalence). We also have the first order operators (existence), and (universality). Following Manna and Pnueli [ , the temporal operators in table are sufficient for our purposes.
Table: operators. p and q are general propositions.
for intervals. Note that some of these operators are `weak' versions: wait-for is a weak version of the until operator which allows for the possibility that q never occurs and, then

17. Temporal Logic
This lecture gives a basic account of Temporal logic from the viewpoint of computer science. Motivated by the specification of reactive and concurrent
http://lat.inf.tu-dresden.de/teaching/ss2006/tl/
##### Course Description
This lecture gives a basic account of temporal logic from the viewpoint of computer science. Motivated by the specification of reactive and concurrent systems, we introduce both linear and branching-time temporal logics. We discuss the expressive power of such logics, relating them to one another, to first and second order logic, and to automata theory. We consider the two reasoning tasks model checking and satisfiability checking, and perform a detailed investigation of the computational complexity of these tasks. Prerequesites: basics of complexity theory will be helpful
##### Organization
Starting from June 12, the lecture will take place every Monday DS4 (13:00-14:00) in GRU 350 and every Thursday DS5 (14:50-16:20) in GRU 358
##### Lecture Material
A script of the lecture is available.
##### Credits / Examinations
Computational logic students can earn 3 credits by attending this lecture. The lecture can be used for the modules SV and TCSL. In order to get the credits, CL students have to pass an oral examination at the end of the term.
##### Literature
The following literature is relevant for the lecture:
• E. Allen Emerson: Temporal and Modal Logic. In J. van Leeuwen, editor, Handbook of Theoretical Computer Science, Elsevier, 1990.

18. Computer Science: Publication: Linear Temporal Logic And Z Refinement
Linear Temporal logic and Z refinement, John Derrick and Graeme Smith, 2004, Computer Science, University of Kent at Canterbury.
http://www.cs.kent.ac.uk/pubs/2004/1938/
##### John Derrick and Graeme Smith
In C. Rattray, S Maharaj, and C Shankland, editors, Algebraic Methodology and Software Technology (AMAST 2004) , volume 3116 of Lecture Notes in Computer Science , pages 117-131. Springer, July 2004.
##### Bibtex Record

19. Winter School, ISI Calcutta, January, 1997.
Over the past two decades, Temporal logic has become a very basic tool for specifying properties of reactive systems. For finitestate systems,
 Madhavan Mukund Tutorial talk, Winter School on Logic and Computer Science, Indian Statistical Institute, Calcutta, January 1997. Abstract Available as gzipped dvi (35 KB) , gzipped Postscript (79 KB) and PDF Back to Madhavan Mukund's home page

20. Temporal Logic In Specification 1987
@proceedings{DBLPconf/tls/1987, editor = {Behnam Banieqbal and Howard Barringer and Amir Pnueli}, title = {Temporal logic in Specification, Altrincham, UK,
http://www.informatik.uni-trier.de/~ley/db/conf/tls/tls1987.html
##### Temporal Logic in Specification 1987: Altrincham, UK
Behnam Banieqbal Howard Barringer Amir Pnueli (Eds.): Temporal Logic in Specification, Altrincham, UK, April 8-10, 1987, Proceedings. Lecture Notes in Computer Science 398 Springer 1989, ISBN 3-540-51803-7 BibTeX DBLP
##### Automata, Theorem Proving and Model Checking

21. Temporal Logic With Past Is Exponentially More Succinct
Abstract The old question whether Temporal logic with pasttime modalities is exponentially more succinct than pure-future Temporal logic has recently been
http://www.lsv.ens-cachan.fr/~markey/PLTL.php
Temporal Logic with Past is Exponentially More Succinct Abstract : The old question whether temporal logic with past-time modalities is exponentially more succinct than pure-future temporal logic has recently been answered positively
##### What is temporal logic with past?
It is temporal logic where future-time modalities, such as F sometimes in the future G always in the future U until "), ... are complemented with their past-time counterparts ( P or F for " once in the past H or G for " always in the past S or U for " since
##### Is it useful?
Yes. Indeed, specifications expressed in natural language often use references to events that occured in the past. One finds it natural to express that "every request is eventually granted" by G (request => F grant) Thus we woud like to express that "every grant is preceeded by a request" by the formula G (grant => F request)
##### Is it really useful?
It is possible to express the property of formula (2) without past-time modalities, and write U Formula (3) only uses future modalities, and is equivalent to formula (2) when interpreted at the beginning of a path. This is a general pattern. Gabbay

22. Tauriainen: Automata And Linear Temporal Logic: Translations With Transition-Bas
This thesis develops the theory of translating propositional linear time Temporal logic (LTL) into nondeterministic automata via selfloop alternating
http://lib.tkk.fi/Diss/2006/isbn9512283433/
Kirjasto Library Electronic dissertations Haku ... Instructions
##### Heikki Tauriainen
Dissertation for the degree of Doctor of Science in Technology to be presented with due permission of the Department of Computer Science and Engineering for public examination and debate in Auditorium T2 at Helsinki University of Technology (Espoo, Finland) on the 27 th of October, 2006, at 12 o'clock noon. Dissertation in PDF format (ISBN 951-22-8343-3) [2583 KB]
Errata
(in PDF format)
Dissertation is also available in print (ISBN 951-22-8342-5)
##### Abstract
Automata theory provides powerful tools for designing and implementing decision procedures for temporal logics and their applications to the automatic verification of systems against their logical specifications. Implementing these decision procedures by making use of automata built from the systems and their specifications with translation procedures is challenging in practice due to the tendency of the automata to grow easily unmanageably large as the size of the systems or the logical specifications increases. Keywords: linear time temporal logic, alternating automata, nondeterministic automata, transition-based acceptance, minimization, nondeterminization, emptiness checking, nested depth-first search

23. A Temporal Logic Language For Context Awareness In Pointcuts | Lambda The Ultima
For this purpose we give an overview of HALO, a novel pointcut language based on logic meta programming and Temporal logic, which allows one to reason about
http://lambda-the-ultimate.org/node/2185
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##### Lambda the Ultimate
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##### A Temporal Logic Language for Context Awareness in Pointcuts
A paper by Charlotte Herzeel, Kris Gybels, Pascal Costanza presented at Some program concerns cannot be cleanly modularized, and their implementation leads to code that is both hard to understand and maintain. In this paper we consider extending an e-commerce application, written in CLOS, with two of such crosscutting concerns. Though most of the time Common Lisp's macro facilities and CLOS method combinations can be used to modularize crosscuts, we discuss the use of a more declarative solution when crosscuts depend on the execution history. For this purpose we give an overview of HALO, a novel pointcut language based on logic meta programming and temporal logic, which allows one to reason about program execution and (past) program state. Charlotte Herzeel presented this at ILC with a flashy web-shop application built on Edi Weitz's standard tools of the web trade. The example takes the basic web-shop and uses aspects to add a lot of funky rules about promotion and discounts based on stock levels, what's selling well, what the user has been browsing, etc, and makes sure the discounts are honoured at the checkout.

24. TCS - Research - Publications - On Translating Linear Temporal Logic Into Altern
linear Temporal logic, alternating automata, automata minimization, title = {On Translating Linear Temporal logic into Alternating and Nondeterministic
http://www.tcs.hut.fi/Publications/info/bibdb.HUT-TCS-A83.shtml
TCS Research Publications / On Translating Linear Temporal Logic into Alternating and Nondeterministic Automata
##### On Translating Linear Temporal Logic into Alternating and Nondeterministic Automata
Reference: Heikki Tauriainen On translating linear temporal logic into alternating and nondeterministic automata . Research Report A83, Helsinki University of Technology Laboratory for Theoretical Computer Science , Espoo, Finland, December 2003. Abstract: Automata theory provides valuable tools for designing and implementing decision procedures for temporal logics and their applications to automatic verification of systems against their logical specifications. Implementing these decision procedures by analyzing automata built from the systems and their specifications with translation procedures is nevertheless very challenging in practice due to the tendency of the automata to grow easily unmanageably large as the size of the systems or (especially) the logical specifications increases. Keywords: linear temporal logic, alternating automata, automata minimization, nested depth-first search

25. Category:Topic Temporal Logic - Ontoworld.org
Temporal logic is a part of the Semantic Web Topic Hierarchy. It was introduced in version 1.1 as described in History of the Semantic Web Topic Hierarchy.
http://ontoworld.org/wiki/Category:Topic_temporal_logic
##### edit Short Definition
This topic is about Temporal Logic, a sub-topic of Logics. temporal logic is a part of the Semantic Web Topic Hierarchy . It was introduced in version 1.1 as described in History of the Semantic Web Topic Hierarchy
##### edit More External Information about temporal logic
It is part of the Semantic Web Topic Hierarchy
##### Articles in category "Topic temporal logic"
There is one article in this category.

26. Applied Logic :: Temporal Logic --Â  Britannica Online Encyclopedia
Britannica online encyclopedia article on applied logic, Temporal logic The object of Temporal logicvariously called chronological logic or tense logicis
http://www.britannica.com/eb/article-65908/applied-logic
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##### applied logic Temporal logic
Page 20 of 29 Temporal logic tense time-related is was

27. Logicomp Linear Temporal Logic (1) Anthony Widjaja To S Blog On
As their name suggests, Temporal logics are logics where truth values of formulas may change over time. The significance of Temporal logic in computer
http://logicomp.blogspot.com/2006/06/linear-temporal-logic-1.html
##### Logicomp
Logic and Complexity
##### Linear Temporal Logic (1)
As their name suggests, temporal logics are logics where truth values of formulas may change over time. The significance of temporal logic in computer science is indisputable, especially in verification of safety-critical reactive systems. Model checkers of many flavors of temporal logics have been developed to the extent that they can quickly verify real-world systems with a huge number of states. Furthermore, in contrast to many other tools and techniques of formal methods which are semi-automatic and relatively expensive, model checking is fully-automatic and quite cheap (excellent free model checkers like SPIN exist). Last year these tools and techniques were awarded the ACM Paris Kanellakis Theory and Practice Award. Amir Pnueli, the researcher who introduced the idea of using temporal logic in verification, was awarded the ACM Turing Award in 1996.
As we mentioned, temporal logic comes in a number of flavors. At present we deal only with

28. [cs/0702036v1] Efficient First-Order Temporal Logic For Infinite-State Systems
In this paper we consider the specification and verification of infinitestate systems using Temporal logic. In particular, we describe parameterised
http://arxiv.org/abs/cs.LO/0702036v1
##### arXiv.orgcs
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##### Title: Efficient First-Order Temporal Logic for Infinite-State Systems
Authors: Clare Dixon Michael Fisher Boris Konev Alexei Lisitsa (Submitted on 6 Feb 2007) Abstract: In this paper we consider the specification and verification of infinite-state systems using temporal logic. In particular, we describe parameterised systems using a new variety of first-order temporal logic that is both powerful enough for this form of specification and tractable enough for practical deductive verification. Importantly, the power of the temporal language allows us to describe (and verify) asynchronous systems, communication delays and more complex properties such as liveness and fairness properties. These aspects appear difficult for many other approaches to infinite-state verification. Comments: 16 pages, 2 figures

29. Temporal Logic
Temporal logic. The Temporal operators of the foundation language provide syntactic sugaring on top of the LTL operators. These Temporal operators include
http://doulos.com/knowhow/psl/temporal_logic/
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##### Temporal Logic
The temporal operators of the foundation language provide syntactic sugaring on top of the LTL operators. These temporal operators include always never next until and before , amongst others. The meaning of these operators is quite intuitive, but there are a few surprises. The always operator holds if its operand holds in every single cycle, whilst the never operator holds if its operand fails to hold in every single cycle. The next operator holds if its operand holds in the cycle that immediately follows. Hence the assertion means that whenever the HDL signal req is true, the HDL signal grant must be true in the following cycle. The meaning of a cycle will typically be specified either by defining a default clock or by including the clocking operator within the property. Note that when req is true, this assertion says nothing about the value of grant in any cycle other than the immediately following cycle. Also, it says nothing about the value of grant when req is false. It only says that whenever

30. (D. Drusinsky, M. Shing) Monitoring Temporal Logic Specifications Combined With
Using such Temporal logic with time Series (TLS), it is possible to monitor important properties such as stability, monotonicity, Temporal average and sum
http://www.jucs.org/jucs_9_11/monitoring_temporal_logic_specification
top.name="UJSeries_Window"; Search Subscription Submission Procedure Login User: anonymous Special Issues Volume 13 (2007) Volume 12 (2006) Volume 11 (2005) ... Issue 11
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##### Monitoring Temporal Logic Specifications Combined with Time Series Constraints
Doron Drusinsky (Naval Postgraduate School and Time-Rover, Inc., USA)
Man-Tak Shing (Naval Postgraduate School California, USA)
Abstract: Keywords: Execution-based Model Checking, Rapid Prototyping, Real-time Systems, Run-time Execution Monitoring, Temporal Logic Categories: D.2.1 D.2.4 D.2.5 D.2.6 ... F.3.1

31. Temporal Logic In Artificial Intelligence
Topics to be covered include theory of Temporal logic, first order Temporal logics, interval Temporal logics, ontologies of time, reasoning about action
http://www.cs.brandeis.edu/~cs112/cs112-2004/

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TA: 110 Volen Center, roser@cs.brandeis.edu Office hours: Tue. 1:00-2:30 pm Wed. 10:00-11:30 am
##### Course Description
In this course, we will cover the role that time plays in artificial intelligence and reasoning systems. Topics to be covered include: theory of temporal logic, first order temporal logics, interval temporal logics, ontologies of time, reasoning about action and change, dynamic logic, time in problem solving (diagnosis, scheduling), tense and aspect in language, semantics of tense, temporal reasoning in language, annotating time and event expressions, temporal data models, temporal query languages, temporal database systems.
##### Handouts

 32. Characterizing Kripke Structures In Temporal Logic. The question of whether branchingtime Temporal logic or linear-time Temporal logic is best for reasoning about concurrent programs is one of the mosthttp://stinet.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA

33. Propositional Linear Temporal Logic And Language - ECS EPrints Repository
Nitsche, U. (1994) Propositional Linear Temporal logic and Language. In Proceedings of the 3rd International Symposium on logical Foundations of Computer
http://eprints.ecs.soton.ac.uk/2676/
@import url(http://eprints.ecs.soton.ac.uk/style/auto.css); @import url(http://eprints.ecs.soton.ac.uk/style/print.css); @import url(http://eprints.ecs.soton.ac.uk/style/nojs.css); Site Search Breadcrumb trail: Intranet Tools RSS 1.0 Feed RSS 2.0 Feed ... Atom Feed
##### Propositional Linear Temporal Logic and Language
Nitsche, U. (1994) Propositional Linear Temporal Logic and Language. In: Proceedings of the 3rd International Symposium on Logical Foundations of Computer Science (LFCS'94). Full text not available from this repository.
Creators: Ulrich Nitsche Editors: Anil Nerode Yuri V. Matiyasevich Item Type: Conference or Workshop Item Research Group: Dependable Systems and Software Engineering Research Group Deposited On: 10 Mar 2000 by Ultes-Nitsche, Ulrich ISBN: ID Code: Last Modified: 16 Nov 2007 02:15 Performance Indicator: EZ~01~01~04
##### Tools
BibTeX OpenURL ContextObject OpenURL Dissertation OpenURL Journal Dublin Core DIDL EndNote HTML Citation Demo for Kirk METS MODS EPrints Application Profile (experimental) Reference Manager Refer Simple Metadata ASCII Citation EP3 XML
##### Corrections
ECS staff and postgraduates may modify this record The ECS EPrints Repository supports OAI 2.0

 34. [Abstract] Crisp-Fuzzy Representation Of Allen's Temporal Logic This model adapts the concept of fuzzy set into the classical AllenÂs Temporal logic (ATL) that is powerful enough to express the imprecise relationshttp://www.actapress.com/Abstract.aspx?paperId=29447

 35. Temporal Logic From FOLDOC There are two types of Temporal logic used branching time and linear time. The basic propositional Temporal logic cannot differentiate between the two,http://www.swif.uniba.it/lei/foldop/foldoc.cgi?temporal logic

 36. Search Results For "temporal Logic" Ã¢ÂÂ FacetedDBLP Searching for phrase Temporal logic (changed automatically) .. Temporal logic in Specification The full citation details 1987, DBLP BibTeX RDFhttp://dblp.l3s.de/?q=temporal logic&resultsPerPage=100

37. Using Temporal Logic In Actions :: Using Actions In Stateflow (Stateflow)
You can test the occurrence of a specified multiple of events. Learn how to use Temporal logic in Stateflow action language.
http://www.mathworks.com/access/helpdesk/help/toolbox/stateflow/ug/f0-34084.html
Stateflow
##### Using Temporal Logic in Actions
About Temporal Logic Operators Rules for Using Temporal Logic Operators after Temporal Logic Operator before Temporal Logic Operator ... Temporal Logic Events
##### Rules for Using Temporal Logic Operators
The following diagram illustrates the use of temporal logic operators in action language: The following rules apply generally to the use of temporal logic operators:
• The recurring event on which a temporal operator operates is called the base event . Any Stateflow event can serve as a base event for a temporal operator.
Note Temporal logic operators can also operate on recurrences of implicit events, such as state entry or exit events or data change events. See Defining Implicit Events
For a chart with no Simulink input events, you can use the wakeup (or tick ) event to denote the implicit event of a chart waking up. Temporal logic operators can appear only in conditions on transitions originating from states and in state actions.

38. Marking Up Temporal Logic
First in a series of posts to the wwwmath mailing list on using TL operators in web pages. Clicking Prev will continue through the series.
http://lists.w3.org/Archives/Public/www-math/msg00496.html
##### Marking up Temporal Logic
• To www-math@w3.org Subject : Marking up Temporal Logic From ucabwas@ucl.ac.uk Date : Thu, 02 Sep 1999 14:47:43 +0100 From www-math-request@tux.w3.org Thu Sep 2 09 Organization : University College London
I was hoping someone might be able to advise me on how I can quickly markup some basic first-order temporal logic equations to be included on a web document. I guess I need to use the character codes for the operators I need but is there an easy way to find these out (I don't think it matters was character encoding standard I use) Thank you loads! Warren Follow-Ups

39. University Of Trento - Italy - UNITN-Eprints - A Propositional Branching Tempora
Moreover, having a Temporal logic to express properties of computation, we can reuse the algorithms for model checking Temporal logics in analyzing the
http://eprints.biblio.unitn.it/archive/00000476/
##### A Propositional Branching Temporal Logic for the Ambient Calculus
Mardare, Radu and Priami, Corrado ) A Propositional Branching Temporal Logic for the Ambient Calculus. Technical Report DIT-03-053, Informatica e Telecomunicazioni, University of Trento. Full text available as:
PDF
##### Abstract
Subjects: Q Science QA Mathematics QA076 Computer software ID Code: Deposited By: DIT, Administrator Deposited On: 20 April 2004 Contact the site administrator at : eprints@biblio.unitn.it University Library System
UNITN-eprints is running on EPrints2 archive-creating software, which generates eprints archives that are compliant with the Open Archives Protocol for Metadata Harvesting OAI 1.1

40. Temporal Logic
Two useful Temporal logics are Computation Tree logic (called CTL) and Linear Temporal logic (called LTL). They differ in how they handle branching in the
http://nusmv.irst.itc.it/NuSMV/papers/sttt_j/html/node3.html
Next: Symbolic Representation of Kripke Up: Symbolic Model Checking Previous: Symbolic Model Checking
##### Temporal Logic
A finite state system can be described as a tuple:
where is a finite set of states, is the set of initial states, and is the transition relation, specifying the possible transitions from state to state. is a function that labels states with the atomic propositions from a given language. Such a tuple is called state transition graph or Kripke structure
Figure 1: A State Transition Graph and its unwinding.
Temporal logics are used to predicate over the behavior defined by Kripke structures. A behavior in a Kripke structure is obtained starting from a state , and then repeatedly appending states reachable through . We require that the transition relation be total. As a consequence all the behaviors of the system are infinite. Since a state can have more than one successor, the structure can be thought of as unwinding into an infinite tree, representing all the possible executions of the system starting from the initial states. Figure shows a state transition graph and its unwinding from the state labeled with `` A Two useful temporal logics are Computation Tree Logic (called CTL) and Linear Temporal Logic (called LTL). They differ in how they handle branching in the underlying computation tree. In CTL temporal operators it is possible to quantify over the paths departing from a given state. In LTL operators are intended to describe properties of all possible computation paths.

41. LINA - Jean-Claude Royer - 2001 - Temporal Logic Verifications For UML: The Vend
Our purpose in this paper is to show that writing and proving Temporal logic properties become effective in this context. Because we have Statechart i.e. a
http://lina.atlanstic.net/fr/productions/RR/rr_1_29.html
english
##### "Temporal Logic Verifications for UML: the Vending Machine example"
To verify UML specifications we need a formal specification, that is a well-known difficulty. Since UML allows data types and dynamic specifications the verification of temporal, even logic, properties leads to other problems. This paper presents an example of a system specified in UML and completed with a formal and component-oriented approach. We use an algebraic approach called Graphic Abstract data Types (GAT) based on Statechart and algebraic specifications of partial abstract data types. Our purpose in this paper is to show that writing and proving temporal logic properties become effective in this context. Because we have Statechart: i.e. a symbolic system with guards, variables and data values, classical model checking is not sufficient enough. We rather advo-cate proofs with a general theorem prover and the use of functional operators expressing temporal properties. We show several examples of properties and proofs using first-order predicate logic. IRIN (RR.01.10)

42. ScienceDirect - Journal Of Applied Logic : Editors' Introduction
Arthur Prior laid the foundations of Temporal logic in the 1960s with Today, Temporal reasoning, representation and logic is a widely ranging and
 Athens/Institution Login Not Registered? User Name: Password: Remember me on this computer Forgotten password? Home Browse My Settings ... Help Quick Search Title, abstract, keywords Author e.g. j s smith Journal/book title Volume Issue Page Journal of Applied Logic Volume 4, Issue 2 , June 2006, Pages 117-118 TIME-ICTL 2003 Abstract Full Text + Links PDF (47 K) Related Articles in ScienceDirect Guest editors' introduction to the special issue on tim... Computers in Biology and Medicine Guest editors' introduction to the special issue on time oriented systems in medicine Computers in Biology and Medicine Volume 27, Issue 5 September 1997 Pages 349-351 Carlo Combi and Yuval Shahar Abstract Abstract + References PDF (208 K) Special issue on data ... Journal of Parallel and Distributed Computing Special issue on data flow computing Guest editors' introduction Journal of Parallel and Distributed Computing Volume 10, Issue 4 December 1990 Pages 277-278 Lubomir Bic and Jean-Luc Gaudiot Abstract Abstract + References PDF (247 K) Methods for modalities 3 ... Journal of Applied Logic Methods for modalities 3 Journal of Applied Logic Volume 4, Issue 3

43. Common Temporal Logic Constructs For CTL And LTL
A number of different basis sets for Temporal logic are possible and a number of restrictions on the allowable uses of negation and quantification lead to
http://www.cl.cam.ac.uk/~djg11/pubs/temporal.html
##### Revision Note: Common Temporal Logic Constructs
A number of different basis sets for temporal logic are possible and a number of restrictions on the allowable uses of negation and quantification lead to various classes of temporal logic. Here are some notes I blogged. A Linear Temporal Logic formula describes a pattern for a sequence of events. Any actual sequence of events may match or not match that pattern. A Branching Temporal Logic formula is more expressive, since it may contain quantifiers that range over a number of possible sequences.
##### Primitives
The following primitives are assumed:
• true The true operator is always true and takes one cycle.
• p Boolean predicate p is true if it is satisfied by the environment.
• X->Y The successor/chop operator holds if X transits to Y.
##### Derived Operators
o circle / next state oF = skip;F diamond / eventually weak next []F square / always []F upto upto F upto G F U G until F U G = F W G unless / weak until F W G atnext atnext F atnext G leadsto leadsto
##### Saftey and Liveness Theorem
A safety property is an assertion that a particular state will not be reached.
•  44. Libra: International Conference On Temporal Logic - International Conference On This paper presents an overview of the development of thefield of Temporal and modal logic programming. We review Temporal andmodal logic programminghttp://libra.msra.cn/ConferenceDetail.aspx?id=1117

45. Weaselhat Â» Temporal Logic And Verification
Filed by Michael Greenberg on 200606-24 (Saturday) at 120 pm under Temporal logic and Verification * 2 Comments. a weasel in a hat
http://www.weaselhat.com/category/formal/tlv/
##### Program synthesis talk
On June 8th I gave a talk for Orna Grumberg seminar in formal verification Synthesis with Incomplete Information slides Filed by Michael Greenberg on 2006-06-24 (Saturday) at 1:20 pm under Temporal Logic and Verification 2 Comments
##### Categories

46. EEMCS EPrints Service - 6515 On A Temporal Logic For Object-Based Systems
Distefano, D.S. and Katoen, J.P. and Rensink, A. (2000) On a Temporal logic for ObjectBased Systems. In Fourth International Conference on Formal Methods
http://eprints.eemcs.utwente.nl/6515/
##### EEMCS
Home Education Research Prospective Students ... Intranet (internal) ÃÂ Nederlands ÃÂ Contact ÃÂ Sitemap ÃÂ Search ÃÂ Organisation
##### EEMCS EPrints Service
On a Temporal Logic for Object-Based Systems Home Policy Browse Search ... Help Please note: This publication repository is under development and therefore not representative for the work of all research groups and individual researchers of the EEMCS faculty.
Distefano, D.S. and Katoen, J.P. and Rensink, A. On a Temporal Logic for Object-Based Systems. In: Fourth International Conference on Formal Methods for Open Object-based Distributed Systems (FMOODS'2000) pp.ÃÂ 305-326 Kluwer Academic Publishers . ISBN Full text available as: PDF Univ. of Twente only - Requires a PDF viewer such as GSview Xpdf or Adobe Acrobat Reader
174 Kb
##### Abstract
This paper presents a logic, called BOTL (Object-Based Temporal Logic), that
facilitates the specification of dynamic and static properties of object-based systems.
The logic is based on the branching temporal logic CTL and the Object
Constraint Language (OCL), an optional part of the UML standard for expressing
static properties over class diagrams. The formal semantics of BOTL is defined

47. IngentaConnect The Expressive Power Of Temporal Logic Of Actions
It is shown that a stutterinvariant property is expressible in Temporal logic of Actions if and only if it is expressible in Second-order Temporal logic.
http://www.ingentaconnect.com/content/oup/logcom/2002/00000012/00000005/art00839
var tcdacmd="dt";
• Home About Ingenta Ingenta Labs Ingenta Blog ...
• Check our FAQs Or contact us to report problems with: Subscription access Article delivery Registration Library administrator tasks ... Other problems For Publishers For Researchers For Librarians CM8ShowAd("HorizontalBanner");
##### The Expressive Power of Temporal Logic of Actions
Authors: Estrin A. ; Kaminski M. Source: Journal of Logic and Computation , Volume 12, Number 5, October 2002 , pp. 839-859(21) Publisher: Oxford University Press Key: - Free Content - New Content - Subscribed Content - Free Trial Content CM8ShowAd("Skyscraper"); Abstract: It is shown that a stutter-invariant property is expressible in Temporal Logic of Actions if and only if it is expressible in Second-order Temporal Logic. In particular, validity questions can be translated from one logic to the other. The proof is based on equivalence transformations between the formulas of Temporal Logic of Actions and Second-order Temporal Logic. The translation from Second-order Temporal Logic into Temporal Logic of Actions is linear and the translation from Temporal Logic of Actions into Second-order Temporal Logic is quadratic.

 48. The Temporal Logic Of Reactive And Concurrent Systems - Special Purpose And ...J The Temporal logic of Reactive and Concurrent Systems Computer Communications Networks. Reactive systems are computing systems which are interactive,http://www.springer.com/west/home/computer/communications?SGWID=4-148-22-2939629

 49. Read About Science, Math, Logic And Foundations, Nonstandard Logics And Extensio A BDD based tool for the formal verification of concurrent systems using a propositional branchingtime Temporal logic action computation tree logic (ACTL)http://www.thumbshots.net/webguide.aspx?cat=Science/Math/Logic_and_Foundations/N

 50. UMSEC Publications In this paper, programs are written in an intermediate language and transformationenabling side conditions are specified in a Temporal logic suitable forhttp://www.umsec.umn.edu/publications/index.php?id=3

 51. Mu-ACTL+: A Temporal Logic For UML Statechart Diagrams We show that the possible system evolutions can be formally represented as a Double Labelled Transition System and present a Temporal logic which allowshttp://dienst.isti.cnr.it/Dienst/UI/2.0/Describe/ercim.cnr.isti/2003-TR-64?tipos

52. Action Language (Stateflow)
Temporal logic operators are Boolean operators that operate on recurrence counts of Stateflow events. See the following subsections for individual
http://www-rohan.sdsu.edu/doc/matlab/toolbox/stateflow/action38.html
 Stateflow Using Temporal Logic Temporal logic operators are Boolean operators that operate on recurrence counts of Stateflow events. See the following subsections for individual descriptions of each temporal logic operator: Rules for Using Temporal Logic Operators Gives you the rules for using temporal logic operators. after Temporal Logic Operator Shows you how to use the after temporal logic operator. before Temporal Logic Operator Shows you how to use the before temporal logic operator. at Temporal Logic Operator Shows you how to use the at temporal logic operator. every Temporal Logic Operator Shows you how to use the every temporal logic operator. Conditional and Event Notation Describes the two types of notation you can use for temporal logic operations in action language. Temporal Logic Events Shows you how you temporal logic is a single event equivalent to accumulated base events. Condition Statements Rules for Using Temporal Logic Operators

53. CiteULike: Tag Temporal-logic [38 Articles]
posted to chuspace computability-logic dynamical-system dynamics interactivity neural-symbolic Temporal Temporal-concept-analysis Temporal-logic by
http://www.citeulike.org/tag/temporal-logic
##### Tag temporal-logic [38 articles]
Recent papers classified by the tag temporal-logic.
• Specifying Systems: The TLA+ Language and Tools for Hardware and Software Engineers (19 July 2002) by Leslie Lamport posted to formal-methods temporal-logic by tautologico on 2005-09-06 20:45:59 as along with 1 person ljcamargos Extending JML Specifications with Temporal Logic Vol. 2422/2002 (September 2002), 334. by K Trentelman , M Huisman posted to temporal-logic softnet jml java ... design-by-contract by sjgaller on 2007-06-05 07:25:21 as along with 1 person and 2 groups pdagarwal Context-driven-testers Desgin-by-Contract ... JAG : J ML A nnotation G eneration for Verifying Temporal Properties Fundamental Approaches to Software Engineering (2006), pp. 373-376. by Alain Giorgetti , Julien Groslambert posted to temporal-logic specification-generation specification softnet ... java by sjgaller on 2007-09-11 07:17:02 as along with 2 groups Context-driven-testers Desgin-by-Contract Specification-based Testing of Reactive Software: Tools and Experiments (Experience Report) (1997), pp. 525-535. by Lalita J Jagadeesan , Adam A Porter , Carlos Puchol , Christopher J Ramming , Lawrence G Votta posted to finite-state-machine test-case-generation temporal-logic softnet ... formalization by sjgaller on 2007-06-06 13:15:50 as along with 2 groups Context-driven-testers Desgin-by-Contract JML-based verification of liveness properties on a class in isolation (2006), pp. 41-48.
• 54. O'Reilly - Safari Books Online - 0201325640 - A Practical Guide To Testing Objec
We have found that interval Temporal logic is useful in expressing Temporal The operators of Temporal logic allow concepts of time ordering to be
http://safari.oreilly.com/0201325640/ch08lev1sec10