Mark Reynolds's Publications


To Mark Reynolds's research page.

Publications by Category

·       Authored Books

·       Edited Books

·       Edited Special Issues

·       Book Chapters

·       Journal Articles

·       Conference Publications

·       Thesis

·       Reports

·       Reviews

·       Submitted

·       In progress

·       Online drafts


Authored Books

D. Gabbay, I. Hodkinson, and M. Reynolds. Temporal Logic: Mathematical Foundations and Computational Aspects, Volume 1. Oxford University Press, 1994.

D. Gabbay, M. Reynolds and M. Finger. Temporal Logic: Mathematical Foundations and Computational Aspects, Volume 2. Oxford University Press, 2000.

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Edited Books

H. Barringer, M. Fisher, D. Gabbay, R. Owens, and M. Reynolds, editors. The Imperative Future. Research Studies Press, Somerset, 1996.

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Edited Special Issues of Journals

C. Dixon, M. Finger, M. Fisher, M. Reynolds, "Special Issue on Temporal Representation and Reasoning", volume 30, number 1-4, Annals of Maths and Artificial Intelligence, Kluwer, 2001.

M. Reynolds and M. Zakharyaschev. Journal of Logic and Computation. Volume 12, Issue 4, pp. 679-697. August 2002.

M. Reynolds and A. Sattar. “Special Issue on Temporal Reasoning”, Journal of Applied Logic. Volume 4, Issue 2, Pages 117-214 (June 2006). Articles in the special issue are available online here.

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Edited Conference Proceedings

M. Reynolds, A. Sattar (editors). Proceedings of TIME-ICTL 2003, IEEE, 2003.

Renate Schmidt, Ian Pratt-Hartmann, Mark Reynolds, Heinrich Wansing (eds.). Advances in Modal Logic, Volume 5, King’s College Publications, London, 2005.

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Book Chapters

D. Gabbay and M. Reynolds. Towards a computational treatment of time. In D.M. Gabbay, C.J. Hogger, and J.A. Robinson, editors, The Handbook of Logic in Artificial Intelligence and Logic Programming, vol. 4, pages 351-437. Oxford University Press, 1995.

H. Barringer, D. Gabbay, and M. Reynolds. Introductory chapter. In H. Barringer, M. Fisher, D. Gabbay, R. Owens, and M. Reynolds, editors, The Imperative Future, pages 10--39. Research Studies Press, Somerset, 1996.

M. A. Reynolds. Temporal semantics for Gamma. In J-M. Andreoli, C. Hankin, and D. Le Metayer, editors, Coordination Programming: Mechanisms, Models and Semantics, pages 141--170. Imperial College Press, 1996.

R. Hirsch, I. Hodkinson, M. Marx, S. Mikulas, and M. Reynolds. Mosaics and step-by-step. Remarks on ``A modal logic of relations''. In E. Orlowska, editor, Logic at Work. Essays Dedicated to the Memory of Helena Rasiowa, volume 24 of Studies in Fuzziness and Soft Computing, pages 158--167. Springer-Verlag, 1999.

M. Finger and M. Reynolds. Imperative history: two-dimensional executable temporal logic. In U. Reyle and H.J. Ohlbach, editors, Logic, Language and Reasoning: Essays in Honour of Dov Gabbay, pages 81--107. Kluwer, 1999.

M. Finger and M. Reynolds. Two-dimensional executable temporal logic for bitemporal databases. In H. Barringer, M. Fisher, D. Gabbay and G. Gough, editors, Advances in Temporal Logic, pages 393--411. Kluwer Academic Publishers, 2000.

C. Dixon, M. Fisher, and M. Reynolds. Execution and proof in a horn-clause temporal logic. In H. Barringer, M. Fisher, D. Gabbay and G. Gough, editors, Advances in Temporal Logic, pages 413--433. Kluwer Academic Publishers, 2000.

M. Finger, D. Gabbay, and M. Reynolds. Advanced tense logic. In D.M. Gabbay and F. Guenthner, editors, Handbook of Philosophical Logic, second edition, volume 7, pages 43--204 Kluwer, 2002.

T. French and M. Reynolds. A sound and complete proof system for QPTL. In P. Balbiani, N-Y. Suzuki, F. Wolter and M. Zakharyaschev, editors, Advances in Modal Logic, Volume 4, pages 127--148, King’s College Publications, London, 2003.

M. Reynolds. An Axiomatization of Prior's Ockhamist Logic of Historical Necessity. In P. Balbiani, N-Y. Suzuki, F. Wolter and M. Zakharyaschev, editors, Advances in Modal Logic, Volume 4, pages 355--370, King’s College Publications, London, 2003.

M. Reynolds and C. Dixon. Theorem-proving for discrete temporal logic. In M. Fisher, D. Gabbay, and L. Vila, editors, Handbook of Temporal Reasoning in Artificial Intelligence, pages 279--314, Elsevier 2005.

Tim French, Ron van der Meyden, and Mark Reynolds.  Complete Axiomatizations for Logics of Knowledge and Past Time. In Renate Schmidt, Ian Pratt-Hartmann, Mark Reynolds, Heinrich Wansing (eds.). Advances in Modal Logic, Volume 5, King’s College Publications, London, 2005.

I. Hodkinson and M. Reynolds. Separation--- Past, Present and Future. In We Will Show Them: Essays in Honour of Dov Gabbay, Vol 2. S. Artemov, H. Barringer, A. S. d'Avila Garcez, L.

C. Lamb, and J. Woods (eds.), pages 117--142, College Publications, 2005.

Xiangyu Luo, Kaile Su, Abdul Sattar and Mark Reynolds, Verification of Multi-agent Systems Via Bounded Model Checking. In AI 2006: Advances in Artificial Intelligence. Lecture Notes in Computer Science, Springer Berlin / Heidelberg, 2006, pp 69-78.

I. Hodkinson and M. Reynolds, Temporal Logic. In
Patrick Blackburn, Johan van Benthem, and Frank Wolter. (eds). Handbook of Modal Logic,  pp 655-720, Elsevier 2007. See
http://www.csc.liv.ac.uk/~frank/MLHandbook

D. Bond and M. Reynolds, Tableaux for Branching Time. In Governatori, Orgun, Reynolds, Sattar(eds).Modal Logics for Multi-Agent Systems in preparation 2009.

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Journal Articles

M. Reynolds. A new construction for free inverse semigroups. Semigroup Forum, 30:291--296, 1984.

 

M. Reynolds and R.P. Sullivan. Products of idempotent linear transformations. Proc. Royal Soc. of Edinburgh, 100A:123--138, 1985.

 

M. Reynolds and R.P. Sullivan. The ideal structure of idempotent-generated transformation semigroups. Proc. Edinburgh Math. Soc., 28:319--331, 1985.

 

M. Reynolds. An axiomatization for Until and Since over the reals without the IRR rule. Studia Logica, 51:165--193, May 1992.

 

M. Reynolds. Axiomatisation and decidability of F and P in cyclical time. Journal of Philosophical Logic, 23:197--224, 1994.

 

D. Brough, M. Fisher, A. Hunter, R. Owens, H. Barringer, D. Gabbay, G. Gough, I. Hodkinson, P. McBrien, and M. Reynolds. Languages, meta-languages and metatem: a discussion paper. Journal of the IGPL, 4(2):255--273, March 1996.

 

M. Reynolds. Axiomatising first-order temporal logic: Until and since over linear time. Studia Logica, 57:279--302, 1996.

 

M. Reynolds. A decidable temporal logic of parallelism. Notre Dame Journal of Formal Logic, 38(3):419--436, Summer 1997.

 

A. Zanardo, B. Barcellan, and M. Reynolds. Non-definability of the class of complete bundled trees. Logic Journal of the IGPL, 7(1):125--136, 1999.

 

M. Marx and M. Reynolds. Undecidability of compass logic. J of Logic and Computation, 9(6):897--914, December 1999.

 

M. Reynolds. An axiomatization of full computation tree logic. Journal of Symbolic Logic, 66(3):1011--1057, Sept. 2001. Draft version of manuscript available at http://www.csse.uwa.edu.au/~mark/research/Online/CTLSTAR.htm.

 

M. Reynolds and M. Zakharyaschev. On the products of linear modal logics. Journal of Logic and Computation, 11(6): 909--931, December 2001. Draft version of manuscript available at http://www.csse.uwa.edu.au/~mark/research/Online/PRODL.htm.

 

M. Reynolds. Axioms for Branching Time. Journal of Logic and Computation. Volume 12, Issue 4, pp. 679-697. August 2002.

 

M. Reynolds. The complexity of the temporal logic with “until” over general linear time, Journal of Computer and System Sciences, 66 (2003) pp 393-426. Earlier draft version of manuscript available at http://www.csse.uwa.edu.au/~mark/research/Online/CULT.htm.

 

M. Bellgard, T. Gamble, M. Reynolds, A. Hunter, E. Trifonov and R. Taplin. Gap Mapping: A paradigm for sequence alignment, Applied Bioinformatics 2003: 2(3) S31-S35. (PubMed entry)

 

M. Reynolds. An axiomatization of PCTL* Information and Computation , Volume 201, Issue 1 , 25 August 2005, Pages 72-119.

 

M. Reynolds. A tableau for bundled CTL* Journal of Logic and Computation 2007 17(1):117-132.

 

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Conference Publications

D. M. Gabbay, I. M. Hodkinson, and M. A. Reynolds. Temporal expressive completeness in the presence of gaps. In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90, Proceedings ASL European Meeting 1990, Helsinki, number 2 in Lecture Notes in Logic, pages 89--121. Springer-Verlag, 1993.

 

M. Reynolds. Axiomatizing U and S over integer time. In D. Gabbay and H.-J. Ohlbach, editors, Temporal Logic, First International Conference, ICTL '94, Bonn, Germany, July 11-14, 1994, Proceedings, volume 827 of Lecture Notes in A.I., pages 117--132. Springer-Verlag, 1994.

 

M. Reynolds. Towards first-order concurrent metatem. In M. Fisher and R. Owens, editors, Proceedings of IJCAI Workshop on Executable Modal and Temporal Logics, Chambery, France 1993, volume 897 of LNAI, pages 118--143. Springer-Verlag, 1995.

 

M. Reynolds. Two-dimensional temporal logic. In J.M. Larrazabal, G. Mints, and D. Lascar, editors, Logic Colloquium'96, Lecture Notes in Logic, pages 219--236. Springer, 1998.

 

M. Reynolds. The logic of E-contracting. In J. Gammack, editor, 2nd Western Australian Workshop on Information Systems Research (WAWISR'99), pages 103-108. Murdoch University, 1999.

 

M. Reynolds. More Past Glories. In Fifteenth Annual IEEE Symposium on Logic in Computer Science (LICS'2000), Santa Barbara, California, USA, June 26-28, 2000, pages 229-240, IEEE, Los Alamitos, California, USA, 2000.

 

M. Marx, S. Mikulas and M. Reynolds. The Mosaic Method for Temporal Logics. In R. Dyckhoff, editor, Automated Reasoning with Analytic Tableaux and Related Methods, Proceedings of International Conference, TABLEAUX 2000, Saint Andrews, Scotland, July 2000, pages 324-340, LNAI 1847, Springer, 2000.

 

M. Reynolds. Continuous Temporal Models. In M. Brooks, D. Corbett, and M. Stumptner, editors, AI 2001: Advances in Artificial Intelligence, Proceedings of  the 14th Australian Joint Conference on Artificial Intelligence (AI'2001), Adelaide, December 2001, LNAI 2256, Springer, 2001.

 

Tim French, Ron van der Meyden, and Mark Reynolds.  Complete Axiomatizations for Logics of Knowledge and Past Time.  In Renate Schmidt, Ian Pratt-Hartmann, Mark Reynolds, Heinrich Wansing (eds.). Proceedings of  AiML-2004: Advances in Modal Logic. Technical Report UMCS-04-09-01. Computer Science Department, University Of Manchester. 2004. See http://www.cs.man.ac.uk/cstechrep/Abstracts/UMCS-04-09-01.html

 

M. Reynolds. Towards a CTL* Tableau. In Ramanujam and Sandeep Sen, editors, Foundations of Software Technology and Theoretical Computer Science (FSTTCS' 05), Springer LNCS Volume 3821, pages 378-389. 2005.

 

B. Baker, W. Lui, M. Reynolds. "Strategy Specification for Teamwork in Robot Soccer " published by the University of Western Australia Press in the Proceedings of International Symposium on Practical Cognitive Agents and Robots with an ISBN 1-74052-130-7. Digital publication will be available on CDs with an ISBN 1-74052-131-5. The digital procceeding will also be included in the ACM Digital Library. 2006.

 

R. Cardell-Oliver, M. Reynolds and M. Kranz. "Space and Time Logic for Programming Sensor Networks" in Special Track on Formal Methods for the Specification and Verification of Sensor Networks
International Symposium on Leveraging Formal Methods, Verification and Validation (ISOLA) 15-19 November 2006, see IEEE Xplore (published 2008).

Tim French, John C. McCabe-Dansted, Mark Reynolds: A Temporal Logic of Robustness.
In B. Konev and F. Wolter (eds), Frontiers of Combining Systems, proceedings of FroCos 2007: 193-205. Springer 2007. See http://www.springerlink.com/content/1159m1185m2h3j22/.

Kaile Su, Abdul Sattar, Han Lin, Mark Reynolds: A Modal Logic for Beliefs and Pro Attitudes. AAAI 2007: 496-501. See here.

Enkhsaikhan, M., Wong, W., Liu, W. and Reynolds, M. (2007). Measuring Data-Driven Ontology Changes using Text Mining. In Proc. Sixth Australasian Data Mining Conference (AusDM 2007), Gold Coast, Australia. CRPIT, 70. Christen, P., Kennedy, P.J., Li, J., Kolyshkina, I. and Williams, G.J., Eds., ACS. 39-46. See here.

Sabrina Ahmad, Mark Reynolds and Terry Woodings. Understanding Requirements Engineering. In Pro. International Conference on Engineering and ICT (ICEI 2007), Melaka, Malaysia, November 2007, Universiti Teknikal Malaysia, Melaka: pages 341-346. 2007.

Tim French, Szabolcs Mikulas, and Mark Reynolds (2009). A Completeness Proof for Temporal Epistemic Logic with Perfect Recall over Linear Time. In Proc. 16th International Symposium on Temporal Representation and Reasoning (TIME-2009), Brixen-Bressanone, Italy 23-25 July 2009. Accepted to appear.

John McCabe-Dansted, Tim French, Mark Reynolds and Sophie Pinchinat. On the Expressivity of RoCTL*. In Proc. 16th International Symposium on Temporal Representation and Reasoning (TIME-2009), Brixen-Bressanone, Italy 23-25 July 2009. Accepted to appear.

Mark Reynolds. Dense Time Reasoning via Mosaics . In Proc. 16th International Symposium on Temporal Representation and Reasoning (TIME-2009), Brixen-Bressanone, Italy 23-25 July 2009. Accepted to appear.

 

Mark Reynolds. A Tableau for CTL*. In Proc. FM2009, 16th International Symposium on Formal Methods, Eindhoven, the Netherlands, November 2 - November 6, 2009. The proceedings of FM2009 will be published as a volume in the Springer Lecture Notes in Computer Science series. Accepted to appear. See extended technical report version here.

 

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Thesis

M. Reynolds. Expressive Power of Query Languages based on Logic Programming. PhD thesis, London University, 1988.

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Reports

M. Reynolds. Declarative meaning for logic programs with negation as failure. Technical Report 89/3, Department of Computer Science, The University of Western Australia, 1989.

M. Reynolds. A completeness result for logic programming. Technical Report 89/8, Department of Computer Science, The University of Western Australia, 1989.

M. Reynolds. Metatem in intensive care. Technical Report tr-97-01, King's College, 1997. At http://www.dcs.kcl.ac.uk/technical-reports/papers/tr97-01.ps.gz

M. Reynolds. A decidable temporal logic of parallelism.(Long Version). Technical Report tr-98-01, King's College, 1998. At http://www.dcs.kcl.ac.uk/technical-reports/papers/tr98-01.ps.gz

M. Reynolds. Changing nothing is sometimes doing something. Technical Report tr-98-02, King's College, 1998. At http://www.dcs.kcl.ac.uk/technical-reports/papers/tr98-02.ps.gz

M. Marx and M. Reynolds. Undecidability of compass logic. Technical Report IR-460, Faculteit der Exacte Wetenschappen, Vrije Universiteit, Amsterdam, 1999.

M. Reynolds and M. Zakharyaschev. On the products of linear modal logics, short version. Technical report IT/99/04, Research Working Paper Series, Division of Business, Information Technology and Law, Murdoch University, September 1999.

M. Marx, S. Mikulas, and M. Reynolds. Temporal mosaics. Technical report IT/99/05, Research Working Paper Series, Division of Business, Information Technology and Law, Murdoch University, September 1999.

M. Reynolds. A Tableau for CTL*. Draft Technical report, CSSE, UWA, January 2009. At http://www.csse.uwa.edu.au/~mark/research/Online/StarTab.html

M. Reynolds. The Complexity of Temporal Logic over the Reals. Draft Technical report, CSSE, UWA, June 2009. At http://www.csse.uwa.edu.au/~mark/research/Online/CORT.htm

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Reviews

M. Reynolds. Review of computability and logic by Daniel E. Cohen. Journal of Logic and Computation, 1:749--751, 1991.

Mandy Rijskreesbi (alias M. Reynolds). Review of first steps in modal logic by Sally Popkorn. Journal of Logic and Computation, 6(1):162--165, 1996.

M. Reynolds. Review of "The Logic Programming Paradigm: 25-year perspective" by K. Apt, V. Marek, M. Truszczynski and D. Warren (eds.). Studia Logica, vol. 71 (2002), No 1, pp. 145-148, June 2002.

M. Reynolds. Review of “Papers on time and tense” by Arthur N. Prior, New Edition, edited by P. Hasle, P. Ohrstrom, T. Brauner and J. Copeland. History and Philosophy of Logic, accepted 2004 to appear.

M. Reynolds. Review of "Many-dimensional modal logics: Theory and applications" by D. M. Gabbay, A. Kurucz, F. Wolter, and M. Zakharyaschev. Studia Logica, vol. 81 (2005), pp. 147-150.

M. A. Reynolds. Review of "The Oxford handbook  of philosophy of mathematics and logic" edited by S. Shapiro. History and Philosophy of Logic, 27 (November 2006), pp. 339-343.

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Submitted

M. Reynolds. The complexity of the temporal logic over the reals, submitted 1999. Draft version of manuscript available at http://www.csse.uwa.edu.au/~mark/research/Online/CORT.htm.

M. Reynolds and T. Stokes. Theorem proving in modal logic using Boolean Rings, 2001. Draft version of manuscript available at
http://www.csse.uwa.edu.au/~mark/research/Online/BoolRing.htm.
 
M. Reynolds and T. Stokes. Algebraic-rewriting for Theorem-proving in Propositional Modal Logic. In ?, editors, Computing: The Australasian Theory Symposium (CATS) 2006, CRPIT, pages ?. Accepted to appear 2006. WITHDRAWN: needs a big correction.

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In Progress

D. Gabbay and M. Reynolds. Temporal Logic: Mathematical Foundations and Computational Aspects, Volume 3. Oxford University Press, in preparation.

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