Introduction to the Theory of Computation Lecture Notes and Exercises
Introduction to the Theory of Computation Lecture Notes and Exercises
Introduction to the Theory of Computation Lecture Notes and Exercises
This lecture notes contains following topics: Lecture Notes and
Exercises for CSC, Overview of this Course, Prerequisite Knowledge, The
Induction Idea, Complete Induction, Beyond Numbers, Structural Induction, A
Larger Example, Exercises, Measuring Runtime, A Simple Recursive Function, A
Special Recurrence Form, Quicksort, Exercises, Correctness of Recursive
Programs, Iterative Programs, Termination, Exercises, Regular Languages, A
Suggestive Flowchart, Deterministic Finite Automata, Correctness of DFAs,
Limitations of DFAs, Nondeterminism, Exercises, introduction to the theory of
computation, Concepts from MAT, introduction to the theory of computation
This note explains the following topics: sets
and regular expressions, Grammars and the chomsky hierarchy, Finite automata,
Nondeterministic finite automata, Combining languages, Normal forms and
algorithms, Deterministic membership testing, Nondeterministic membership
testing, Models of computation, Complexity considerations, Undecidable problems,
Undecidability and formal languages.
This PDF covers the
following topics related to Theory of Computation : Mechanical Computation,
Background, Languages and graphs, Automata, Computational Complexity.
This PDF Models of Computation by John E. Savage covers the following
topics related to Computation Theory : The Role of Theory in Computer Science,
General Computational Models, Logic Circuits, Machines with Memory, Finite-State
Machines and Pushdown Automata, Computability, Algebraic and Combinatorial
Circuits, Parallel Computation, Computational Complexity, Complexity Classes,
Circuit Complexity, Space–Time Tradeoffs, Memory-Hierarchy Tradeoffs, VLSI
Models of Computation.
This note
describes the following topics: Finite State Machines, Closure and
Nondeterminism, The Pumping Lemma, Minimizing FSMs, Context Free Languages,
CFLs and compilers, Recitation, Pushdown Machines, CFGs and NPDMs, CYK
algorithm, Undecidability and CFLs, Turing Machines, Halting Problem,
Decidability, Complexity Theory, Quantified Boolean Formula, Savitch's
Theorem, Space Hierarchy, Recursion Theorem.