AbstractWe introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We give what is apparently the first feasible proofs of the Cayley–Hamilton theorem and other properties of the determinant, and study the propositional proof complexity of matrix identities such as AB=I→BA=I
(eng) We study the link between the complexity of polynomial matrix multiplication and the complexit...
In this paper, we study the complexity of computing the determinant of a matrix over a non-commutati...
We characterize the complexity of some natural and important problems in linear algebra. In particul...
We introduce three formal theories of increasing strength for linear algebra in order to study the c...
We introduce three formal theories of increasing strength for linear algebra in order to study the ...
AbstractWe introduce three formal theories of increasing strength for linear algebra in order to stu...
grantor: University of TorontoIn this thesis we are concerned with building logical founda...
Motivated by the fundamental lower bounds questions in proof complexity, we initiate the study of ma...
I will discuss the basic notions related to the complexity theory. The classes of P and NP problems ...
This study examines the complexity of linear algebra. Complexity means how much work, or the number ...
The linear complexity of a matrix is a measure of the number of additions, subtractions, and scalar ...
We define the complexity of a computational problem given by a relation using the model of a computa...
<F4.793e+05> We prove a new combinatorial characterization of the<F3.928e+05> determi-&...
this paper we shall assume that S is a commutative ring with identity. Then each instruction f i can...
One of the central problems of algebraic complexity theory is the complexity of multiplication in al...
(eng) We study the link between the complexity of polynomial matrix multiplication and the complexit...
In this paper, we study the complexity of computing the determinant of a matrix over a non-commutati...
We characterize the complexity of some natural and important problems in linear algebra. In particul...
We introduce three formal theories of increasing strength for linear algebra in order to study the c...
We introduce three formal theories of increasing strength for linear algebra in order to study the ...
AbstractWe introduce three formal theories of increasing strength for linear algebra in order to stu...
grantor: University of TorontoIn this thesis we are concerned with building logical founda...
Motivated by the fundamental lower bounds questions in proof complexity, we initiate the study of ma...
I will discuss the basic notions related to the complexity theory. The classes of P and NP problems ...
This study examines the complexity of linear algebra. Complexity means how much work, or the number ...
The linear complexity of a matrix is a measure of the number of additions, subtractions, and scalar ...
We define the complexity of a computational problem given by a relation using the model of a computa...
<F4.793e+05> We prove a new combinatorial characterization of the<F3.928e+05> determi-&...
this paper we shall assume that S is a commutative ring with identity. Then each instruction f i can...
One of the central problems of algebraic complexity theory is the complexity of multiplication in al...
(eng) We study the link between the complexity of polynomial matrix multiplication and the complexit...
In this paper, we study the complexity of computing the determinant of a matrix over a non-commutati...
We characterize the complexity of some natural and important problems in linear algebra. In particul...
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