RECURSION THEORY
Spring 2010
Lectures:
Thursday 15-17 Room F 1.02 (how
to get there)
Exercise
sessions: Friday 13-15 Room C1.12
Where
to find us: Piet
Rodenburg Room F2.42, Nihkef Building.
Umberto
Grandi (TA) Room C3-119, Science Park.
Godel's incompleteness theorems will not be part of the program.
They are taught in this
course.
RULES OF THE GAME
1.1-Do
the weekly assignment given at the end of the exercise session.
Deadline is strict: following Thursday at 3pm.
1.2-Do them well:
if the average of the best 5 over 7 assignments in the first part of
the semester is sufficient, then you are allowed to take the first
exam on March the 24th.
2.1-Same in the second part of the
semester: there will be 4 weekly assignments, and if the average of
the best 3 is sufficient you are allowed to take the final
exam.
2.2-The final exam is on May the 27th. It is a general exam
over the whole course.
Grade:
the final grade is the average between the
grades of the two exams.
In case this will
differ sensibly from the results of the assignments, it will be
possible to take an oral examination.
STUDY MATERIAL
The course will be based on a preliminary version of Computability Theory and Applications, by Robert I. Soare, to be made available to the participants. Moreover, fairly extensive lecture notes will be provided. They will be published on blackboard (an old version of them can be found here).
For a less abstract, and, in a sense, less casual approach, it may be useful to study Cutland’s Computability or Cohen’s Computability and Logic by the side. Another possibility is Cooper's Computability Theory (here is a list of misprints).