Formal Languages and Automata Theory Tutorial 5. Spring Correctness of subset construction Theorem: The PDA simulates the leftmost derivation on a given w, and upon consuming it fully it either arrives at acceptance by empty stack or non-acceptance. To make this website work, we log user data and share it with processors. About project SlidePlayer Terms of Service.

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Mujind UBC Notes — tons of math! There is a unique transition on each input symbol. Choice of one of three: Deterministic Finite Automaton is a FA in which there is only one path for a specific input from current state to next state. Worst-case, average-case, and best-case analysis. Topics include sets, counting permutations and combinationsmathematical induction, relations and functions, partial order relations, equivalence relations, groups and applications to error-correcting codes.

Program design with emphasis on pragmatic and mathematical aspects of program efficiency. CR: Survey of theory requirements in other Canadian Honours programs — Soma-notes This page was last edited on 25 Januaryat CS Data Structures Covers mathematical and experimental techniques for algorithm analysis and their application to the major techniques for representing and manipulating data structures in main memory.

Lower and upper bounds of algorithms techniques include comparison trees, adversary arguments, and reduction. What is the language csthoery by CFG or G? Strings and pattern matching. Case studies from a variety of areas illustrate divide and conquer methods, the greedy approach, branch and bound algorithms and dynamic programming. Text editors and lexical analyzers are designed as finite state systems. NP- hardness and NP- completeness.

Topics include divide and conquer algorithms, recurrences, greedy algorithms, dynamic programming, graph search and backtrack, problems without algorithms, NP-completeness and its computatin.

Topics include propositional logic, first order logic, proof techniques, mathematical induction, sets, operations on sets, relations, operations on relations, functions, countable an uncountable sets, graph-theoretic concepts, such as graph connectivity, graph isomorphism, trees, Euler graphs.

What are the components of Finite automaton model? S Theory of Computation Models of sequential and parallel computation, automata theory, formal languages, the Chomsky hierarchy, decidability and computability, sequential and parallel complexity theory. B-trees, heaps and graphs. Efficient implementation of lists, sets, dictionaries, priority queues, trees, graphs, and networks using arrays, hash tables, heaps, and hierarchical linked structures.

Each step is satisfying some logical principle. Correctness comutation for both recursive and iterative program constructions. What is a regular expression? Design and Analysis of Computer Algorithms The intent of this course is to introduce the fundamental techniques in the design and analysis of computer algorithms. Introduction to assertions and loop invariants. Undecidability of problems in computation, including the halting problem.

The concept of abstract data types. P and NP classes. NFA or Non Deterministic Finite Automaton is the one in which there exists many paths for a specific input from current state to next state. Topics covered include graph theory, trees, inclusion-exclusion, generating functions, recurrence relations, and optimization and matching.

CS Theory of Computation Syllabus The emphasis is on using these structures and assessing the relative effectiveness of alternative implementations. Whenever possible applications from computztion and information technology will be included. Fundamental proof techniques with an emphasis on induction. Average case and worst case analysis. A selection of topics chosen from sorting, memory management, graphs and graph algorithms.

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Mujind UBC Notes — tons of math! There is a unique transition on each input symbol. Choice of one of three: Deterministic Finite Automaton is a FA in which there is only one path for a specific input from current state to next state. Worst-case, average-case, and best-case analysis. Topics include sets, counting permutations and combinationsmathematical induction, relations and functions, partial order relations, equivalence relations, groups and applications to error-correcting codes. Program design with emphasis on pragmatic and mathematical aspects of program efficiency. CR: Survey of theory requirements in other Canadian Honours programs — Soma-notes This page was last edited on 25 Januaryat CS Data Structures Covers mathematical and experimental techniques for algorithm analysis and their application to the major techniques for representing and manipulating data structures in main memory.