Computer Science and Mathematics (3 Years) [BSc]
Logic and Modelling
|Unit level:||Level 2|
|Teaching period(s):||Semester 1|
|Offered by||School of Computer Science|
|Available as a free choice unit?:||Y
Additional RequirementsStudents who are not from the School of Computer Science must have permission from both Computer Science and their home School to enrol.
To enrol students are required to have taken COMP11120 or one of the following: MATH10111, MATH10131 , MATH10212, MATH10232.
This course intends to build an understanding of fundamentals of (mathematical) logic as well as some of the applications of logic in modern computer science, including hardware verification, finite domain constraint satisfaction and verification of concurrent systems.
OverviewThis is a unique course developed at the University of Manchester. It explains how implementations of logic can be used to solve a number a number of problems, such as solving hardest Sudoku puzzles in no time, analysing two-player games, or finding serious errors in computer systems
Teaching and learning methods
22 in total, 2 per week, including some feedback sessions on exercises
Learning outcomes are detailed on the COMP21111 course unit syllabus page on the School of Computer Science's website for current students.
- Analytical skills
- Problem solving
- Written exam - 80%
- Written assignment (inc essay) - 20%
- Propositional logic
- Conjunctive normal form (CNF)
- DPLL satisfiability algorithm
- Randomized satisfiability algorithms
- Compact representations of Boolean functions using BDTs/BDDs/OBDDs
- Quantified Boolean Logic (QBF) Splitting and DPLL algorithms for QBF
- Propositional logic of finite domains
- State-changing systems
- Linear temporal logic (LTL)
- Model checking
COMP21111 reading list can be found on the School of Computer Science website for current students.
Feedback methodsMy Website of this course will contain a lot of material, including solutions to exercises
- Assessment written exam - 2 hours
- Lectures - 24 hours
- Practical classes & workshops - 9 hours
- Independent study hours - 65 hours