Science of Computational Logic

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Science of Computational Logic

Lehrveranstaltung mit SWS 2/2/0 (Vorlesung/Übung/Praktikum) in WS 2016

Dozent

Tutor

Umfang (SWS)

  • 2/2/0

Module

Leistungskontrolle

  • Mündliche Prüfung

This is the follow-up course to Logic. The course will run with 4 hours of lectures and 4 hours of tutorials per week.

We cover the areas of automated deduction and automated deduction systems, knowledge representation and reasoning, logic-based databases, program development, language design, semantics and verification methods, computational logic and machine learning, computational logic and natural language processing.


News

  • The tutorial on Thursday, 15th December is canceled; there will be an additional tutorial on Monday, 19th December, 9:20 in room E05
  • The lecture starts on 5th December, and the tutorials on 15th December


Lecture Slides

Introduction Description Logic Equational Logic Actions and Causality Deduction, Abduction and Induction Non-Monotonic Reasoning


Exercise Sheets

Description Logic Equational Logic E-Unification Actions and Causality Abduction Non-Monotonic Reasoning Non-Monotonic Reasoning Non-Monotonic Reasoning

Additional exercise for Tuesday, 10th January: Prove that the question, whether a given term rewriting system is terminating, is undecidable.


References

  • Description Logics:
    • F. Baader. What's new in description logics. Informatik Spektrum, 34(5):434-442, 2011.
    • F. Baader, D. Calvanese, D. McGuinness, D. Nardi, and P. Patel-Schneider. The Description Logic Handbook. Cambridge University Press, 2003.
  • Paramodulation/Rewriting:
    • David A. Plaisted. Equational reasoning and term rewriting system. In D. M. Gabbay, C. J. Hogger and J. A. Robinson, editors, Handbook of Logic in Artificial Intelligence and Logic Programming, volume 1, chapter 5. Oxford University Press, Oxford, 1993.
  • Unification Theory:
    • F. Baader and W. Snyder. Unification Theory. In J. A. Robinson and A. Voronkov, editors, Handbook of Automated Reasoning. Elsevier Science Publishers B.V., 1999.
  • Fluent Calculus:
    • S. Hölldobler and J. Schneeberger. A new deductive approach to planning.New Generation Computing, 8:225-244, 1990.
  • Abduction:
    • R. A. Kowalski. Logic programming in arficial intelligence. In Proceedungs of the International Joint Conference on Artificial Intelligence, 1991.
    • A.C. Kakas, R.A. Kowalski and F. Toni. Abductive Logic Programming. Journal of Logic and Computation, 2(6):719-770, 1993.
  • Induction:
    • C. Walther. Mathematical Induction. In D. M. Gabbay, C. J. Hogger and J. A. Robinson, editors, Handbook of Logic in Artificial Intelligence and Logic Programming, volume 2, pages 127-228. Oxford Science Publications, 1994.
  • Default Logic:
    • G. Antoniou. A tutorial on default logics. ACM Computing Surveys, 31(4):337-359, 1999.
  • Machine Learning:
    • Tom M. Mitchell. Machine Learning, McGraw-Hill and MIT Press,1997.


Additional suggestions by Tobias

  • N. Dershowitz. Termination of Rewriting. In Journal of Symbolic Computation (1987) 3, 69-116