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VWO Mathematics B.
Originally logic was used by the Greek Sophists to demonstrate the correctness of their argument in formal debates. The ambiguity of human languages asked for formulation of logic in a symbolic formal language. Only towards the end of the 19th century logic has been formulated in the language of mathematics, and in particular of algebra, making it a useful tool to solve mathematical problems. In the same period the language used to prove theorems from mathematics begun suffering the same problems as natural language, showing many paradoxes. Logic was proposed as the foundational language of mathematics, but several limitations where soon discovered. More recently logic has become the language of computer science, just as calculus is the language of many engineering disciplines..
In this course we will study propositional and predicate logic, their proof theory, their limitations, as well as some of their applications in computer science.
The course gives an introduction to the field of mathematical logic by presenting the syntax and semantics of propositional logic and of the richer language of predicate logic. The goal is to describe and investigate the above logics by finitary methods, and to train students in formalizing specifications and in verifying properties of systems.
Lectures, exercise classes and a number of homework assignments.
Students will be evaluated by means of a written exam and homework assignments.
The examination is worth 70% of the final grade (with a minimum of 5.5).
The remaining 30% is from the average grade of the homework assignments.
The following book will be used for the course:
* Michael R. A. Huth and Mark D. Ryan Logic in Computer Science: Modelling and Reasoning about Systems, Cambridge University Press, 2004 (ISBN 052154310X).
Onderwijscoordinator Riet Derogeems. Riet Derogee
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