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LATA
2011
Springer
12 years 8 months ago
Classifying Regular Languages via Cascade Products of Automata
Abstract. Building on the celebrated Krohn-Rhodes Theorem we characterize classes of regular languages in terms of the cascade decompositions of minimal DFA of languages in those c...
Marcus Gelderie
ECCC
2010
83views more  ECCC 2010»
13 years 2 months ago
Symmetric LDPC codes are not necessarily locally testable
Locally testable codes, i.e., codes where membership in the code is testable with a constant number of queries, have played a central role in complexity theory. It is well known t...
Eli Ben-Sasson, Ghid Maatouk, Amir Shpilka, Madhu ...
COCO
2007
Springer
89views Algorithms» more  COCO 2007»
13 years 11 months ago
Testing Properties of Constraint-Graphs
We study a model of graph related formulae that we call the Constraint-Graph model. A constraintgraph is a labeled multi-graph (a graph where loops and parallel edges are allowed)...
Shirley Halevy, Oded Lachish, Ilan Newman, Dekel T...
ECCC
2008
122views more  ECCC 2008»
13 years 5 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
APPROX
2009
Springer
135views Algorithms» more  APPROX 2009»
14 years 4 days ago
Tolerant Linearity Testing and Locally Testable Codes
Abstract. We study tolerant linearity testing under general distributions. Given groups G and H, a distribution µ on G, and oracle access to a function f : G → H, we consider th...
Swastik Kopparty, Shubhangi Saraf