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# Introduction to Logic

Vak
2020-2021

Introduction Informatica

## Description

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 of natural language, showing many paradoxes. Logic was proposed as the foundational language of mathematics, but several limitation where soon discovered. More recently logic has become the language of computer science, just as calculus is the language of many engineering discipline.

In this course we will study propositional and predicate logic, their proof theory, their limitation, as well as some of their applications in computer science.

## Course objectives

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.

## Timetable

The most updated version of the timetables can be found on the students' website:

## Mode of instruction

Lectures and exercise classes. A weekly practice class is a mandatory component of the course.

## Assessment method

Students will be evaluated on the basis of a written examination complemented with take-home assignments. Examination is worth 70% of the final grade (with a minimum of 5.5). The remaining 30% is from the average grade of take-home assignments

• Michael R. A. Huth and Mark D. Ryan.

• Logic in Computer Science: Modelling and Reasoning about Systems.

• Cambridge University Press, 2004 (ISBN 052154310X).

Blackboard

## Signing up for classes and exams

You can enrol via uSis . More information about signing up for classes and exams can be found here .

## Contact information

Onderwijscoördinator Informatica, Riet Derogee

Logica