TCS / Studies / T-79.5101 Advanced Course in Computational Logic
Helsinki University of Technology, 
     Laboratory for Theoretical Computer Science


Advanced Course in Computational Logic

(4 cr) P

Spring 2007 (Periods III and IV)

Navigation: [General Information] [Lecture Notes] [Tutorials] [Home Assignments] [Feedback] [Examinations] [Other Interesting Stuff] [TOPI]

Previous years: [Spring 2006]

This is an advanced course on logic and its applications in computer science and engineering. Subjects covered are: modal logics (syntax, semantics, proof theory and computational properties) and applications of temporal logic in concurrent and distributed systems.

General Information

  • NEW: Course feedback is collected from April 25, 2007 until May 23, 2007.
  • This course replaces the former course T-79.146 Logic in Computer Science: Special Topics I.
  • Lectures: by Prof. Ilkka Niemelä, Wednesdays 10-12, room TB353, starting on the 17th of January, 2007
  • Tutorials: by M.Sc.(Tech.) Matti Järvisalo, Mondays 12-13, room TB353
  • Course material:
    • Lecture notes.
    • M. Fitting. Basic Modal Logic. Handbook of Logic in Artificial Intelligence and Logic Programming, Volume 1, Logical Foundations, 1993.
    • E. Clarke and O. Grumberg and D. Peled. Model Checking. The MIT Press, 1999. (Chapters 1-4)
    • E.A. Emerson. Automated Temporal Reasoning about Reactive Systems. Logics for Concurrency, F. Moller and G. Birtwistle (Eds.), Springer-Verlag, 1996, LNCS 1043, pp. 41-99. [PS]
  • Passing and grading of the course
  • Brochure in Finnish
  • Program for lectures
  • Email contacts: the alias t795101 at is recommended.
  • Newsgroup: [http]
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Lecture Notes

(In Finnish)
Refresher [ps] [pdf]
A refresher on propositional and predicate logic
Introduction [ps] [pdf]
Introduction to the course
Modal Logic I [ps] [pdf]
Introduction to modal logics
Modal Logic II [ps] [pdf]
Propositional modal logics
Modal Logic III [ps] [pdf]
Basic results about models
Modal Logic IV [ps] [pdf]
Some examples of modal logics
Modal Logic V [ps] [pdf]
Hilbert-style proof theory
Modal Logic VI [ps] [pdf]
Tableaux method
Modal Logic VII [ps] [pdf]
More about modal logic
Modal Logic VIII [ps] [pdf]
Introduction to temporal logics
Modal Logic IX [ps] [pdf]
Expressing properties with temporal logic
Modal Logic X [ps] [pdf]
Model checking
Modal Logic XI [ps] [pdf])
Tableau method for temporal logics
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Tutorials and their Solutions

(in Finnish)

Exercise Sheets

  • Tutorials 1-3: [ps] [pdf], solutions: [pdf]
  • Tutorials 4-7: [ps] [pdf], solutions: [pdf]
  • Tutorials 8-10: [ps] [pdf] solutions: [pdf]
  • Tutorials 11-13: [ps] [pdf] solutions: [pdf]



  • 22.1. Tutorial 1
  • 29.1. Tutorial 2
  • 5.2. Tutorial 3
  • 12.2. Tutorial 4
  • 19.2. Tutorial 5
  • 26.2. Tutorial 6
  • 12.3 Tutorial 7
  • 19.3 Tutorial 8
  • 26.3. Tutorial 9
  • 2.4. Tutorial 10
  • 16.4. Tutorial 11
  • 23.4. Tutorial 12
  • 30.4. Tutorial 13
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Home Assignments

  • Results of home assignments (HAs) 1-3 as of Mar 27, 2007.
  • Each student receives three personal HAs during the spring term.
  • Grading is done using the scale passed / not passed.
  • Assignments will be delivered through personal home directories.
  • Home directories are created automatically for all registered students. Passwords will be distributed when the first HA is launched.
  • The schedule for Spring 2007:

    HA Launch date Deadline
    1 Feb 7, 2007 Feb 21, 2007, 24:00
    2 Feb 28, 2007 Mar 21, 2007, 24:00
    3 Apr 4, 2007 Apr 25, 2007, 24:00

  • In the third assignment, the task is to analyse a mutex algorithm whose SMV source code can be found here.
  • You may consult some brief instructions to get started with SMV.
  • SMV has been installed at HUT/Computing Centre Unix/Linux workstations.
  • Check the SMV site at CMU if you wish to install the software on your own PC. We have been reported that the version 2.5 for Windows/NT does not tolerate inputs involving inequality (!=).
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Course Feedback

We welcome feedback which is collected centrally in Finnish, Swedish, or English from April 25, 2007 until May 23, 2007, 24:00.

To obtain one extra exam point you should fill in the feed back form by the deadline (May 23, 2007). Please remember to supply your student ID on the form. This is just to collect the list of students who have given feedback (anonymity is not otherwise compromised).

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  • Material covered in exams
  • May 16, 2007, 13-16, T2 (in Finnish [pdf])
  • Aug 29, 2007, 9-12, T1
  • Jan 4, 2008, 9-12, T1
  • Questions will be provided in Finnish only (unless agreed otherwise).
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Other Interesting Stuff

  • Formal methods
  • Formal Methods in System Design, 22 (2) March 2003. Special Issue on Industrial Practice of Formal Hardware Verification
  • Interesting books on modal logic, temporal logic and verification of reactive systems.
    • Brian F. Chellas. Modal Logic: An Introduction, Cambridge University Press, 1980.
    • Melvin Fitting. Proof Methods for Modal and Intuitionistic Logic, Reidel, 1983.
    • Robert Goldblatt. Logics of Time and Computation, CSLI Lecture Notes Number 7, Center for the Study of Language and Information, Stanford University.
    • Hughes, G.E. and Cresswell, M.J. A Companion to Modal Logic, Methuen and Co., 1984.
    • Hughes, G.E. and Cresswell, M.J. New Introduction to Modal Logic, Routledge, 1995.
    • Patrick Blackburn, Maarten de Rijke, Yde Venema. Modal Logic, Cambridge University Press, to appear in May 2001.
    • Zohar Manna and Amir Pnueli. The Temporal Logic of Reactive and Concurrent Systems. Springer-Verlag, 1992.
    • Zohar Manna and Richard Waldinger. The Deductive Foundations of Computer Programming. Addison-Wesley, 1993.
    • Zohar Manna and Amir Pnueli. Temporal Verification of Reactive Systems: Safety. Springer-Verlag, 1995.
    • B. Berard et al. Systems and Software Verification, Model-Checking Techniques and Tools. Springer, 2001.
    • Doron A. Peled: Software Reliability Methods, Springer 2001.
    • M. Huth and M. Ryan. Logic in Computer Science: Modelling and Reasoning about Systems, Cambridge University Press, 2000.
    • E. Allen Emerson. Temporal and Modal Logic. Handbook of Theoretical Computer Science, Volume B: Formal Models and Sematics 1990, J. van Leeuwen, ed., North-Holland Pub. Co./MIT Press, Pages 995-1072.
  • Model checking tools
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Latest update: 24 August 2007.