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Questions and Answers
What percentage of the final grade do homework assignments contribute?
What is the date and time of the mid-semester exam?
14th September, 2015, 7:30 am - 9:30 am
What is the course textbook?
Introduction to the Theory of Computation by Michael Sipser
What can be inferred about a dysfunctional lab?
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What state is defined as static in the chemistry lab example?
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All states are static if there are three units in the lab.
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What type of device would a finite automaton be classified under?
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A finite automaton is a system consisting of a set of states and ________ between them.
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Study Notes
Introduction to Theory of Computation
- Course includes assignments (15%), quizzes (20%), a mid-semester exam (20%), and an end-semester exam (45%).
- Assignments due at class start, late submissions incur penalties.
- Mid-semester exam scheduled for September 14, 2015; consultation of textbook and notes allowed.
- End-semester exam on November 16, 2015; consultation of textbook and notes permitted.
- Textbook: Introduction to the Theory of Computation by Michael Sipser, International student edition.
- Course materials available on course website: http://moodle.cse.iitk.ac.in.
Understanding Computation
- Computation involves step-by-step problem-solving processes.
- Examples of computation include multiplication, dictionary searches, and crossword puzzles.
- Various computational devices exist: calculators, computers, phones, and manual tools like pen and paper.
- Mathematical models characterize computational devices based on fundamental properties.
- Study focuses on the power and limitations of these computational models.
- Key question: What problems are computable, and which are not?
Introduction to Finite Automata
- A finite automaton comprises a set of states and interactions among them.
- Everyday examples include switches, fan regulators, and traffic lights.
- Finite automata can determine conditions, such as checking if a binary number is divisible by 4 (last two digits must be 0).
Example of Finite State Machine in Chemistry
- Laboratory system involving compounds A, B, and C, with three types of reactions.
- α-reaction: B + C → 2A
- β-reaction: A + C → 2B
- γ-reaction: A + B → 2C
- Reactions are symmetric, maintaining the total number of units.
- A lab state is defined as:
- Dysfunctional: Only 1 compound remains.
- Static: State has or will become dysfunctional (e.g., one compound is left).
- Intermediate: Can become dysfunctional (e.g., 2A, 1B, 1C).
- Dynamic: Cannot become dysfunctional (e.g., 2A and 1B).
- State representation: a sequence of three integers indicating the number of units of A, B, and C.
- Case examples show all possible states with varying units, distinguishing between static and dynamic conditions.
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Description
This quiz covers the introductory concepts from Chapter 1 of the Theory of Computation course. You'll learn about the course structure, including assignments, quizzes, and exams. Prepare to dive into the foundational principles of computation theory.
