COMP30026 Models Of Computation Notes | Assignment Help | Syllabus
University: University Of Melbourne
“Theoretical underpinnings for computer science are formal logic and discrete mathematics. To represent the science of computers, this topic employs logic and discrete mathematics. It gives students a foundation in logic, sets, relations, functions, automata, formal languages, and computability, as well as ideas that underlie nearly all of the discipline’s practical tools for automated data storage, retrieval, manipulation, and communication.
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Propositional and predicate logic, resolution proofs, and mathematical proofs are all examples of logic.
Discrete mathematics is a branch of mathematics that deals with numbers that are not Order, well-foundedness, induction, and recursion are all terms that are used to describe sets, functions, and relations.
Automata: Regular languages, finite-state automata, context-free grammars and languages, and parsing are all examples of regular languages.
In a nutshell, computeability is: Turing machines, computability, and decidability are all terms used to describe how computers work.
To implement and explain ideas, a functional programming language will be utilized.
Learning outcomes that are expected
Students should be able to do the following after completing this subject:
To reason about non-trivial computational issues, use propositional and predicate logic as tools.
Explain the fundamentals of mechanised reasoning, including resolution proof, and how to use them to solve issues.
Reason about mathematical objects’ characteristics, such as functions and relations, and use them to solve problems.
Apply discrete mathematics methods to computer science issues.
Combine less formal language requirements to create context-free grammars.
Create abstract computational devices like finite-state and pushdown automata.
Finite-state automata, pushdown automata, and Turing machines are examples of computational models that may be analyzed and reasoned about.
Skills that are universal
Students should have acquired the following abilities by the end of this subject:
Skills in analysis
Problem-solving and reasoning abilities
Ability to communicate with rigor, clarity, and effectiveness Knowledge of scientific and engineering principles
Capacity for creativity and invention, as well as the ability to identify, formulate, and solve problems” ”
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