TAILIEUCHUNG - Lecture Algorithm design - Chapter 9: PSPACE

In computational complexity theory, PSPACE is the set of all decision problems that can be solved by a Turing machine using a polynomial amount of space. In this chapter will introduce PSPACE with a number of content: PSPACE complexity class, quantified satisfiability, planning problem, PSPACE-complete. | 9. PSPACE PSPACE complexity class quantified satisfiabiliy planning problem PSPACE-complete Lecture slides by Kevin Wayne Copyright 2005 Pearson-Addison Wesley Copyright 2013 Kevin Wayne http wayne kleinberg-tardos Last updated on Sep 8 2013 6 54 AM Geography game Geography. Alice names capital city c of country she is in. Bob names a capital city c that starts with the letter on which c ends. Alice and Bob repeat this game until one player is unable to continue. Does Alice have a forced win Ex. Budapest Tokyo Ottawa Ankara Amsterdam Moscow Washington Nairobi . Geography on graphs. Given a directed graph G V E and a start node s two players alternate turns by following if possible an edge out of the current node to an unvisited node. Can first player guarantee to make the last legal move Remark. Some problems especially involving 2-player games and AI defy classification according to NP EXPTIME NP and NP-Complete. 2 Section 9. PSPACE PSPACE complexity .

• Kỹ thuật lập trình
• Algorithm design
• Lecture Algorithm design
• Algorithm analysis
• PSPACE complexity class
• Quantified satisfiability
• PSPACE complete
• Dynamic programming
• Hirschbergs algorithm
• Bellman Ford algorithm
• Computational tractability
• Asymptotic order of growth
• Polynomial running time
• Greedy Algorithms
• Dijkstras algorithm
• Minimum spanning trees
• Network flow
• Ford Fulkerson algorithm
• Max flow min cut theorem
• Local search
• Gradient descent
• Metropolis algorithm
• Advanced Algorithms Analysis and Design
• Lecture Advanced Algorithms Analysis and Design
• Bài giảng Phân tích và thiết kế thuật toán nâng cao
• The Floyd Warshall algorithm
• Johnson’s algorithm
• Graph search
• Graph connectivity
• Graph traversal
• Coin changing
• Optimal caching
• Counting inversions
• Closest pair of points
• Randomized quicksort
• Master theorem
• Integer multiplication
• Matrix multiplication
• Weighted interval scheduling
• Knapsack problem
• Bipartite matching
• Disjoint paths
• Assignment problem
• Input queued switching
• Poly time reductions
• Constraint satisfaction problems
• Graph coloring
• Decision problems
• NP complete
• Nondeterministic polynomial
• Vertex covers
• Bipartite graphs
• Limits of tractability
• Approximation Algorithms
• Vertex cover
• Randomized Algorithms
• Contention resolution
• Linearity of expectation
• Stable matching
• Representative problems
• Efficient implementation
• Interval scheduling
• International Journal of Computer Science & Communication Networks
• Design of a hybrid cryptographic algorithm
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• Advanced Encryption Standard
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• Amortized analysis
• Advanced data structures
• Vietnam Journal of Mechanics
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