Dr Manfred Kerber
Course in the Midlands Graduate School in Theoretical Computer Science, November/December 1999
ObjectivesOn completion of this course, the student should:
Good knowledge of logic
The course will be presented in 6 lectures of 90 minutes and complemented by exercises.
Students who attended the course can ask for an oral exam.
There is a multitude of literature on this topic, some more literature will be mentioned during the course. The literature will mostly consist of parts of different books and research papers, since no book exactly covers the full content of the course.
|Principles of Automated Theorem Proving||David Duffy||John Wiley & Sons 1991||Further Reading|
|Symbolic Logic and Mechanical Theorem Proving||Chin-Liang Chang and Richard Char-Tung Lee||Academic Press 1973||Further Reading|
|First-Order Logic and Automated Theorem Proving||Melvin Fitting||Springer-Verlag 1990||Further Reading|
The following courses are currently planned, modifications are possible. Slides and Exercises will be made available after the corresponding lectures as gzipped PostScript and as pdf files.
|1||Introduction to mechanised deduction, different goals and approaches, examples program verification (Hoare calculus) and planning (situation calculus)||l1.ps.gz; l1.pdf||e1.ps.gz; e1.pdf|
|2||Resolution calculus (unification, clause normal form, skolemisation||l2.ps.gz; l2.pdf||e2.ps.gz; e2.pdf|
|3||Extensions to resolution (restriction strategies, selection strategies, sorts)||l3.ps.gz; l3.pdf||e3.ps.gz; e3.pdf|
|4||Equality handling (paramodulation, Knuth-Bendix procedure)||l4.ps.gz; l4.pdf||e4.ps.gz; e4.pdf|
|5||Higher-order treatment, Inductive theorem proving||l5.ps.gz; l5.pdf||e5.ps.gz; e5.pdf|
|6||Interactive theorem proving, Proof planning (natural deduction, tactics, tacticals)||l6.ps.gz; l6.pdf||e6.ps.gz; e6.pdf|
|Worksheet||Exercise||input file||output file|
no proof found in reasonable time|
Maintained by M.Kerber@cs.bham.ac.uk
School of Computer Science
The University of Birmingham
Last update 8.11.1999