1. Temporal Logic The Stanford Encyclopedia of Philosophy entry on the subject, with a detailed description, application Category Science Math Temporal Logic......Temporal Logic. The term Temporal Logic has been Modallogic approachesto temporal logic. Tense Logic. Tense Logic was introduced by Arthur http://plato.stanford.edu/entries/logic-temporal/

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A B C D ... Z content revised NOV Temporal Logic 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. Modal-logic approaches to temporal logic Predicate-logic approaches to temporal logic Philosophical issues Applications ... Related Entries Modal-logic approaches to temporal logic Tense Logic The logical language of Tense Logic contains, in addition to the usual truth-functional operators, four modal operators with intended meanings as follows:

2. TLA - The Temporal Logic Of ActionsTLA - The Temporal Logic Of Actions Last Modi Shop here for The Temporal Logic of Reactive and Concurrent Systems Specification and find more books by Zohar Manna. For a limited time, get free shipping on orders over $25! http://www.research.digital.com/SRC/personal/Leslie_Lamport/tla/tla.html

TLA - The Temporal Logic of Actions Last modified 13 January 2003 THE TLA+ BOOK IS NOW AVAILABLE. Click Here THE NEW TLA+ TOOLS ARE NOW AVAILABLE. Click 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 About TLA and TLA+ 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.

3. Citations: Temporal And Modal Logic - Emerson (ResearchIndex) 2. 2 Temporal logic temporal logic can be seen as classical logic extended withvarious modalities representing temporal aspects of logical formulae 9. The http://citeseer.nj.nec.com/context/11523/0

546 citations found. Retrieving documents... E. A. Emerson. Temporal and Modal Logic . In J. van Leeuwen, editor, Handbook of Theoretical Computer Science, volume B, pages 9961072, Amsterdam, The Netherland, 1990. Elsevier Science Publishers. 314 Home/Search Document Not in Database Summary Related Articles Check This paper is cited in the following contexts: First 50 documents Next 50 Verification of Payment Protocols - Via Multiagent Model (Correct) ....protocol. Things work in the same way for any arbitrary nesting of belief operators. Language . We associate a language to each view # B # .Intuitively, achL# is the language used to express what is true (and false) about the process of view #. We employ the Computational Tree Logic (CTL) , a well known propositional branching time temporal logic widely used in formal verification. For each #, etP# be a set of propositional atoms. Each P# allows for the definition of a di#erent language, called a MATL language (on P# ) A MATL language on P# is the smallest CTL language .... E. A. Emerson.

4. Temporal Logic Temporal Logic. Propositional Temporal Logic. Back to the tutorial pages. http://www-step.stanford.edu/tutorial/temporal-logic/temporal-navigate.html

Temporal Logic Propositional Temporal Logic Back to the tutorial pages Temporal Logic Propositional Temporal Logic Back to the tutorial pages

5. Results of a system, its properties and their proofs are of a compositional nature, and areformalized within a compositional temporal logic temporal MultiEpistemic http://portal.acm.org/results.cfm?query=temporal logic keyword&coll=GUIDE&d

6. Temporal Logic Temporal Logic for Specification. Temporal logic is ordinary logic extended withtemporal operators (read henceforth) and (read eventually). http://cs.wwc.edu/~aabyan/TL/

Temporal Logic for Specification Anthony Aaby Walla Walla College aabyan@wwc.edu var theDate="" theDate = document.lastModified document.write(" Last Modified: ") document.write(theDate) document.write(". ") Comments and content invited: aabyan@wwc.edu Temporal logic is ordinary logic extended with temporal operators [] (read henceforth ) and (read eventually ). The formula [] P asserts that P is true now and at all future times, and the formula P asserts that P is true now or at some future time. Since P is eventually true if and only if it is not always false, P   is equivalent to ~[]~ P Temporal logic, as it has been defined here, cannot formally specify things like average response time and probability of failure. However, it is useful for the specification of safety and liveness properties. Safety properties assert what the system is allowed to do, or equivalently, what it may not do. Safety properties are satisfied by a system which does nothing. Restriction to only producing correct answers is an example of a safety property. Liveness properties assert what the system must do. Termination is an example of a liveness property.

7. Temporal Logic From FOLDOC temporal logic. logic An extension There are two types of temporal logicused branching time and linear time. The basic propositional http://csai03.is.noda.sut.ac.jp/foldoc/foldoc.cgi?temporal logic

8. Temporal Logic From FOLDOC temporal logic. logic An extension There are two types of temporal logicused branching time and linear time. The basic propositional http://www.instantweb.com/foldoc/foldoc.cgi?temporal logic

9. OUP USA: Temporal Logic Temporal Logic Mathematical Foundations and Computational AspectsVolume 2 DOV. M. GABBAY, King's College London, MARK A. REYNOLDS http://www.oup-usa.org/isbn/0198537689.html

Computer Science or Browse by Subject In Stock Standard Oxford Logic Guides 40 ... Table of Contents Temporal Logic Mathematical Foundations and Computational Aspects Volume 2 DOV. M. GABBAY, King's College London, MARK A. REYNOLDS, University Sao Paulo, Brazil, and MARCELO FINGER, Murdoch University, Australia This is the second volume in a series of well-respected works in temporal science and is by the same authors as the first. Volume one dealt primarily with basic concepts and methods, volume two discuses the more applicable aspects of temporal logics. The first four chapters continue the more theoretical presentations from volume one, covering automata, branching time and labelled deduction. The rest of the book is devoted to discussions of temporal databases, temporal execution and programming, actions and planning. With its inclusion of cutting-edge results and unifying methodologies, this book, and its companion are an indispensable reference for both the pure logician and the theoretical computer scientist. 616 pp.; 83 line illus; 0-19-853768-9

10. Kono's Temporal Logic Related Information A collection of papers by Shinji Kono on the Interval temporal logic. http://rananim.ie.u-ryukyu.ac.jp/~kono/temporal-logic-e.html

Interval Temporal Logic Projects and papers on Interval Temporal Logic Japanese Page is here Projects Tokio-9.94 Programming Tools for Interval Temporal Logic Tokio Programming Language RTL-Tokio Piplelined CPU verification tool LITE Intervale Temporal Logic Verifier Papers TEMPORAL LOGIC PROGRAMMING LANGUAGE Tokio Shinji Kono, Tatsuya Aoyagi, Masahiro Fujita, Hidehiko Tanaka, Tatsuhiko Moto-oka September 1984 Logic Programming Conference Tokio: Logic Programming Language Based on Temporal Logic and Its compilation to Prolog Masahiro Fujita, Shinji Kono, Hidehiko Tanaka, Tatsuhiko Moto-oka September 1986 Internatinal Conference on Logic Programming Automatic Verification of Interval Temporal Logic Shinji Kono TM-92-007, SONYCSL March 1992 8th British Colloquium For Theoretical Computer Science October Synthesis of Contrllers from Interval Temporal Loigc Specification Masahiro Fujita Shinji Kono TR-93-11, SONYCSL October May, 1993 International Workshop on Logic Synthesis A Combination of Clasual and Non Clausal Temporal Logic Program Shinji Kono TR-93-12, SONYCSL October Aug, 1993 IJCAI-93 Workshop on Executable Modal and Temporal Logics

11. 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

Welcome Search SEI Publications About SEI Documents Lists of SEI Documents Recent Reports Featured Articles Publications news@sei Addison-Wesley Temporal Logic Case Study Technical Report Wood, W. 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. CMU/SEI-89-TR-024 download the PDF file download the PostScript file The Software Engineering Institute (SEI) is a federally funded research and development center sponsored by the U.S. Department of Defense and operated by Carnegie Mellon University. by Carnegie Mellon University URL: http://www.sei.cmu.edu/publications/documents/89.reports/89.tr.024.html

12. Foundations Of Temporal Logic - The WWW-site For Prior-studies Foundations of temporal logic The WWW-site for Prior-studies http://www.hum.auc.dk/prior/index2.htm

The WWW-site for Prior-studies This WWW-site is devoted to the Life and Work of Arthur Norman Prior (1914-69), the founding father of temporal logic. A special emphasis is placed on Prior's papers in The Bodleian Library, Oxford. Your webbrowser does not support frames. It is strongly recommended that you update your browser to a newer version: Download a current version of (both for the PC and Macintosh) Download a current version of Microsoft Explorer here (both for the PC and Macintosh)

13. Foundations Of Temporal Logic – The WWW-site For Prior-studies Devoted to the life and work of the founding father of temporal logic. Includes bibliography, interview Category Society Philosophy Philosophers Prior, Arthur Norman......Foundations of temporal logic – The WWWsite for Prior-studies. You'llbe redirected in 10 seconds. Or you can click below Enter here. http://www.hum.auc.dk/prior/

The WWW-site for Prior-studies You'll be redirected in 10 seconds. Or you can click below... Enter here Optimized for a minimum screen resolution of 800x600 pixels. Browser version 4 or later

14. Marking Up Temporal Logic First in a series of posts to the www-math mailing list on using TL operators in web pages. Clicking Category Science Math temporal logic......PrevNextIndexThread Marking up temporal logic. To wwwmath@w3.org;Subject Marking up temporal logic; From Warren Searle ucabwas@ucl.ac.uk ; http://lists.w3.org/Archives/Public/www-math/msg00496.html

[Prev] [Next] [Index] [Thread] 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 Re: Marking up Temporal Logic From Re: Marking up Temporal Logic From Prev: Re: Marking up Temporal Logic Next: Index: Message index of www-math@w3.org mailing list Thread: Thread index of www-math@w3.org mailing list

15. BRICS Lecture Series, Abstracts, 1997 A survey of the field by Jan Chomicki and David Toman. From the 1997 BRICS Lecture Series.Category Science Math temporal logic...... temporal logic in Information Systems. November 1997. viii+42 pp. Abstract temporallogic is obtained by adding temporal connectives to a logic language. 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.

16. LINGUIST List 10.1581: Modal Logic/Temporal Logic, Cognitive Typology LINGUIST List 10.1581. Thu Oct 21 1999. Calls Modal logic/temporal logic, CognitiveTypology. Editor for this issue Jody Huellmantel jody@linguistlist.org http://www.linguistlist.org/issues/10/10-1581.html

LINGUIST List 10.1581 Thu Oct 21 1999 Calls: Modal Logic/Temporal Logic, Cognitive Typology Editor for this issue: jody@linguistlist.org As a matter of policy, LINGUIST discourages the use of abbreviations or acronyms in conference announcements unless they are explained in the text. Directory Maarten de Rijke, AiML-ICTL 2000: First Call for Papers Jan.Nuyts, International Cognitive Typology Conference Message 1: AiML-ICTL 2000: First Call for Papers Date: Thu, 21 Oct 1999 22:15:25 +0200 (MET DST) From: mdr@wins.uva.nl Subject: AiML-ICTL 2000: First Call for Papers wansing@Rcs1.urz.tu-dresden.de wolter@informatik.uni-leipzig.de http://www.illc.uva.nl/~mdr/AiML/ Mail to author ... Top of issue Message 2: International Cognitive Typology Conference Date: Thu, 21 Oct 1999 09:34:06 +0200 (MET DST) From: nuyts@uia.ua.ac.be Subject: International Cognitive Typology Conference nuyts@uia.ua.ac.be nuyts@uia.ua.ac.be Universiteitsplein 1 B-2610 Wilrijk - Belgium Mail to author Respond to list Read more issues LINGUIST home page ... Top of issue

17. TLA - The Temporal Logic Of Actions TLA The temporal logic of Actions. TLA (the temporal logic of Actions) is alogic for specifying and reasoning about concurrent and reactive systems. http://research.microsoft.com/users/lamport/tla/tla.html

TLA - The Temporal Logic of Actions Last modified 13 January 2003 THE TLA+ BOOK IS NOW AVAILABLE. Click Here THE NEW TLA+ TOOLS ARE NOW AVAILABLE. Click 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 About TLA and TLA+ 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.

18. Welcome To Software Technology Research Laboratory De Montfort University Formal methods, verification, reactive systems, semantics, compositionality, interval temporal logic, executable specification, re-engineering. http://www.cse.dmu.ac.uk/~cau/

Dr. rer. nat., ir. Antonio Cau Software Technology Research Laboratory SERCentre De Montfort University Hawthorn Building, The Gateway Leicester LE1 9BH, England Telephone ++44 (0)116 257 7937 Fax ++44 (0)116 257 7936 E-mail: cau at dmu.ac.uk Feb 13 2003 Research Publications Projects ITL home ... FME course

19. Temporal Logic Category Science Math logic and Foundations Nonstandard logics and Extensions temporal logic http//plato.stanford.edu/entries/logictemporal/. http://www.ad.com/Science/T/__Temporal_Logic/

search Top Categories: Prior, Arthur Centre for Agent Research and Development Among other activities, this group explores topics related to temporal logic including temporal resolution methods. Category: Science > Math > Logic and Foundations > Nonstandard Logics and Extensions > Temporal Logic http://www.doc.mmu.ac.uk/RESEARCH/CARD/ Efficient Symbolic Tools A BDD based tool for the formal verification of concurrent systems using a propositional branching-time temporal logic: action computation tree logic (ACTL). It runs under different OS, including Li Category: Science > Math > Logic and Foundations > Nonstandard Logics and Extensions > Temporal Logic http://www.el.feri.uni-mb.si/est/ Ground Temporal Logic: A Logic for Hardware Verification A temporal logic designed to specify properties of hardware at the register transfer level. Category: Science > Math > Logic and Foundations > Nonstandard Logics and Extensions > Temporal Logic http://www.csl.sri.com/reports/html/cav94.html Interval Temporal Logic A flexible notation for both propositional and first-order reasoning about periods of time found in descriptions of hardware and software systems. Category: Science > Math > Logic and Foundations > Nonstandard Logics and Extensions > Temporal Logic http://www.cms.dmu.ac.uk/~cau/itlhomepage/

20. Interval Temporal Logic Interval temporal logic (ITL) is a flexible notation for both propositional and firstorder reasoning about periods of http://www.cse.dmu.ac.uk/~cau/itlhomepage

Next: Syntax Interval Temporal Logic Antonio Cau Ben Moszkowski and Hussein Zedan Software Technology Research Laboratory Pdf version of the ITL home page Abstract: Interval Temporal Logic (ITL) is a flexible notation for both propositional and first-order reasoning about periods of time found in descriptions of hardware and software systems. Unlike most temporal logics, ITL can handle both sequential and parallel composition and offers powerful and extensible specification and proof techniques for reasoning about properties involving safety, liveness and projected time[ ]. Timing constraints are expressible and furthermore most imperative programming constructs can be viewed as formulas in a slightly modified version of ITL [ ]. Tempura provides an executable framework for developing and experimenting with suitable ITL specifications. In addition, ITL and its mature executable subset Tempura [ ] have been extensively used to specify the properties of real-time systems where the primitive circuits can directly be represented by a set of simple temporal formulae. In addition, various researchers have applied Tempura to hardware simulation and other areas where timing is important. Syntax Semantics Frequently used abbreviations Propositional proof system ... About this document ...

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