'Poly time' presentation slideshows

The Class NP

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CS151 Complexity Theory

CS151 Complexity Theory. Lecture 3 April 6, 2004. Introduction. A motivating question: Can computers replace mathematicians? L = { (x, 1 k ) : statement x has a proof of length at most k }. Introduction. This lecture: nondeterminism nondeterministic time classes

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חישוביות וסיבוכיות Computability and Complexity Lecture 8

חישוביות וסיבוכיות Computability and Complexity Lecture 8. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A A A A. Outline. Last week: Non-deterministic TM Poly-time verifiability The classes NP and coNP Today: Poly-time reducibility

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Complexity & Analysis of Data Structures & Algorithms

Complexity & Analysis of Data Structures & Algorithms. Piyush Kumar (Lecture 2: Algorithmic Analysis). Welcome to COP4531. Based on slides from J. Edmonds, S. Rudich, S. H. Teng, K. Wayne and my old slides. Algorithm: What is it?.

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Counting Constraint Satisfaction Problems

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Formal Representation of Polynomial-Time Algorithms and Security

Formal Representation of Polynomial-Time Algorithms and Security. Bruce Kapron University of Victoria June 9, 2004. Poly-time Function(als) in Cryptography. Probabilistic polynomial time (PPT) function(al)s play a central role in (asymptotic) complexity-based cryptography and security

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CS21 Decidability and Tractability

CS21 Decidability and Tractability. Lecture 19 February 21, 2014. Outline. the class NP an NP-complete problem alternate characterization of NP 3-SAT is NP-complete. An EXP-complete problem. Can you find a poly-time alg for ATM B ? NO! we showed that P ( EXP.

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Computability Julia sets

Computability Julia sets. Mark Braverman Microsoft Research January 6, 2009. Julia Sets. Focus on the quadratic family. Let c be a complex parameter. Consider the following discrete-time dynamical system on the complex plane: z ? z 2 + c

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SMT-Based Model Checking for Recursive Programs

SMT-Based Model Checking for Recursive Programs. Anvesh Komuravelli Carnegie Mellon University. Joint work with Arie Gurfinkel and Sagar Chaki. Bounded Model Checking (BMC) for While-Programs. Init (x 0 ). Body (x 0 ,x 1 ). assume ( Init (x)); while (*) x := Body(x); assert (!Error(x)).

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Computational Complexity

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Probabilistic verification

Probabilistic verification. Mario Szegedy, Rutgers www/cs.rutgers.edu/~szegedy/07540 Lecture 1. Course outline. Probabilistic verification Codes, Polynomials, Fourier transforms The PCP Theorem and its generalizations Inapproximability Parallel repetition The unique game conjecture.

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Computational Complexity

Computational Complexity. CPSC 468/568, Fall 2010 Time: Tu & Th, 1:00-2:15 pm Room: AKW 500 Satisfies the QR requirement. http://zoo.cs.yale.edu/classes/cs468/. Partial Topic Outline. Complexity classes (P, NP, L, NL, etc .) Reductions and completeness The roles of, e.g ., Randomness

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Probabilistic Complexity

Probabilistic Complexity. Probabilistic Algorithms Def: A probabilistic Turing Machine M is a type of non-deterministic TM, where each non-deterministic step is called a coin-flip step and has 2 legal next moves. Define the probability of branch b to be

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The Sensor Cover Problem

The Sensor Cover Problem. Alon Efrat (U. Arizona) Adam Buchsbaum (AT&T Labs) Shaili Jain (Harvard) Suresh Venkatasubramanian (AT&T Labs) Ke Yi (AT&T Labs). Sensors. Low-power devices with sensing capabilities Sensors monitoring regions

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Lecture 3 Prof. Swarat Chaudhuri

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STCON in Directed Unique-Path Graphs

STCON in Directed Unique-Path Graphs. Sampath Kannan Sanjeev Khanna Sudeepa Roy University of Pennsylvania. (Directed) st-connectivity (STCON). t. t. s. directed path from s to t in G?. Questions involving STCON. Known Results NL-complete O(n) space and O(m+n) time (BFS or DFS)

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Cryptography & Complexity

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Algoritmi on-line e risoluzione di problemi complessi

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Translating LTL to Automata

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Lecture 30

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