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» Characterizing Valiant's algebraic complexity classes
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COCO
1994
Springer
89views Algorithms» more  COCO 1994»
13 years 11 months ago
Relationships Among PL, #L, and the Determinant
Recent results by Toda, Vinay, Damm, and Valiant have shown that the complexity of the determinant is characterized by the complexity of counting the number of accepting computati...
Eric Allender, Mitsunori Ogihara
CSR
2007
Springer
14 years 1 months ago
On the Complexity of Matrix Rank and Rigidity
We revisit a well studied linear algebraic problem, computing the rank and determinant of matrices, in order to obtain completeness results for small complexity classes. In partic...
Meena Mahajan, Jayalal M. N. Sarma
VMCAI
2004
Springer
14 years 20 days ago
Boolean Algebra of Shape Analysis Constraints
Shape analysis is a promising technique for statically verifying and extracting properties of programs that manipulate complex data structures. We introduce a new characterization...
Viktor Kuncak, Martin C. Rinard
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
14 years 1 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet
MST
1998
76views more  MST 1998»
13 years 7 months ago
Sharply Bounded Alternation and Quasilinear Time
We de ne the sharply bounded hierarchy, SBH(QL), a hierarchy of classes within P, using quasilinear-time computation and quanti cation over strings of length logn. It generalizes ...
Stephen A. Bloch, Jonathan F. Buss, Judy Goldsmith