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Given a 3CNF , what fraction of the clauses can be satisfied simultaneously? 3 ... Distinguisher(x): * If C(x) A, return YES' * Otherwise return NO' A. B. 14 ...
Title: Languages and Finite Automata Author: Costas Busch Last modified by: Michael Goodrich Created Date: 8/31/2000 1:12:33 AM Document presentation format
2. Repeat the following if both 0s and 1s remain on the tape: Scan across the tape, crossing off a ... Scan all 0s and copy them to the second tape. ...
Select one satisfying literal in each clause gadget ... Edges in clause gadgets. are incident to at ... exactly one literal in each variable gadget is chosen ...
... literal in each clause gadget ... Edges in clause gadgets. are incident to at least one node in cover, ... literals in the cover from variable gadgets. 24 ...
Instructor Neelima Gupta ngupta@cs.du.ac.in The 0-1 Knapsack Problem Input A set S of n items with weights wi and values vi Capacity K Output: a subset S of items ...
A satisfying assignment is a setting of the variables that makes the formula true ... A Boolean formula is satisfiable if there exists a satisfying assignment for it ...
... Form (CNF) Conjunction of disjunctions of variables or their ... clause: disjunction of literals. CNF: conjunction of clauses. Every has an equivalent CNF ...
clause. literal. Examples of NP-complete problems. Vertex cover. Vertex cover - we ... 1) there must be 1 vertex per variable gadget, and 2 per clause gadget ...
Why almost all satisfiable. k-CNF formulas are ... x5 supports this clause w.r.t. ... Planted models also 'fashionable' for graph coloring, max clique, max ...
the ith digit of y2j-1 is 1 if xj 2 Ci, else 0. the ith digit of y2j is 1 if :xj 2 Ci, else 0. digit j m of y2j, y2j-1 is 1. For each 1 j m: y2k 2j = y2k 2j-1 ...
Plgw03, 17/12/07. 1. On the Hardness of Inferring Phylogenies from ... Butt'fly ...CGCG... ...AATA... ...AACG... ...CCGT... ...CAGA... ...AAGT... B E G H L M ...
So for every two you can tell if they get along. Each team member must get along with every ... the size of the max-clique is tremendously big. 11. Gap-Problems ...
However, the probability of error can be diminished by repeated executions of the algorithm. The MinCut algorithm is an example of a Monte Carlo algorithm.
... of message passing algorithms for satisfiability problems ... Algorithms for the planted model first try to get the core variables right (for some core) ...
adding a detour from the. corresponding pair of. horizontal nodes of the. of the corresponding ... detours to the clause nodes. From such a normal path. we can ...
Theorem: L NP if there exists a poly-time Turing machine ... Hamiltonian Path. Max Cut. Subset Sum. Integer Programming. Other Problems in NP. Graph Isomorphism ...
qa. t. t. a 'tableau' q0. Rows are made up of cells. Each cell has a 'light' ... on the previous row. q0. q0. EXAMPLE. q0. q1. qa. 00, R. 0, R. 11, R. 1, R ...
So they can impersonate you at other web sites where you use the same password. login: me ... If you are an impostor, you won't know how to color the graph ...
the nonmyopic optimal conditional plan. in time O( d2 B n2 ) for filtering and ... computing conditional plans is NPPP-hard. As we presented last week at UAI, appr ...
Invited Talk at FST&TCS '04. My Favorite Ten Complexity Theorems of the Past Decade ... Undirected Graph Connectivity in Deterministic Logarithmic Space. Reingold 2005 ...
... problem is closely related to PCP. And even use it to prove ... Gap-QS and PCP ... This proves a PCP characterization with D=O(n) (hardly a 'local' test...
Computational Complexity of Some Enumeration Problems in Sparse ... University of Illinois at Urbana-Champaign. Understanding Complex ... latter ~ Fin-Dom-SyDS ) ...
Invited Talk at FST&TCS '04. My Favorite Ten Complexity Theorems of the ... Beauty in results that tie together two seemingly different areas of complexity. ...
An oracle Turing Machine is a TM with a query. Tape and three ... 9 queries q1...qk. M(x;c1...cm,a1...ak) accepts ... construct a polytime algorithm for ...
If f(n) is the running time of M, we say M runs in time f(n) and that M is an f ... clause node appears on the path, by observing the diamond at which the detour ...
Is a directed acyclic graph, where: Each node has in-degree either ... The circuit Cn is the Cook-Levin circuit for M. with n hardwired in. CS5403.info ...
When m=p choose(2,n) - Gn,m and Gn,p are 'close' There exists a constant d=d(k) such that ... The planted and uniform SAT distributions are 'close' ...
CSci 5403. LECTURE XXVII: PCPs AND HARDNESS OF APPROXIMATION. Definition. ... Then there is no c/? approximation algorithm for (R,val) unless P=NP. Definition. ...