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CSC610 Mathematical Foundations

Lead Faculty: Dr. Ronald Uhlig

Course Description

A study of mathematical models of computation and theoretical foundations of computer science. Proof techniques, automata theory, Chomsky hierarchy, decidability and computational complexity are emphasized.

Learning Outcomes

  • Construct a model of computation for a given specification.
  • Develop a program implementing the model of computation.
  • Prove that regular expressions are equivalent to Finite State Machines.
  • Prove that complement of a regular language is regular.
  • Prove that a given language is Context-Free.
  • Construct a Push Down Automaton for a given computational problem.
  • Construct a Turing Machine for a given computational problem.