(https://www.coli.uni-saarland.de/~saurer/lehre/mg1/mg1-engl.html)
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This
course - the first of a 2-semester sequence - introduces set theory, ordering
relations, some algebra (groups, lattices) as well as propositional logic and
first order predicate logic with identity. The emphasis will be on logic. Each
of the two logics will be investigated from four aspects: formal syntax, formal
(model-theoretic) semantics, proof theory and application to natural language (formalisation, "informal semantics"). The aim of
the course is to make the student familiar with basic logical skills such as
formalizing natural language sentences, construction of formal proofs within a
natural deduction system and semantic evaluation of (sets of) formulas (truth
table method, determining truth conditions of formulas).
None.
The language of instruction is German and set theory.
Obligatory course for the B.Sc. in Computational Linguistics (CL), and CL as a
minor for M.A. students. There will be a midterm and a final exam, 45 min each.
The course carries 8 credit points.(For further
details regarding course requirements, in particular registration for the
exams, see German version.)
Partee, B., A. ter Meulen, R.Wall,
Mathematical Methods in Linguistics. Kluwer 1990.
Leblanc, H., W. Wisdom, Deductive Logic. Allyn and Bacon, 1976.
Thomason, R., Symbolic Logic. Macmillan, 1970.
Wed 16-18; first meeting: will
be announced in lecture
Weeks 1 and 2 |
Basic concepts of set theory |
Weeks 3 and 4 |
Basic concepts of ordering relations and algebraic
structures (groups, lattices) |
Weeks 5 - 8 |
Propositional logic: Formalisation,
syntax and semantics |
Week 8 |
Midterm exam on
material of the first half of the course; sample exam |
Weeks 9 and 10 |
Propositional logic: Proof theory (Natural
Deduction) |
Weeks 11 - 13 |
Predicate logic: Formalisation,
syntax, proof theory (Natural Deduction) |
Weeks 14 and 15 |
Predicate Logic: formal (model-theoretic) semantics |
Week 16 |
Final exam on
material of the second half of the course; sample exam |
Course mechanics (in German only)
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to Course
Schedules .