This article contains a formalisation of the Akra–Bazzi method [1] based on a proof by Leighton [2]. It is a generalisation of the well-known Master Theorem for analysing the complexity of Divide & Con-quer algorithms. We also include a generalised version of the Master theorem based on the Akra–Bazzi theorem, which is easier to apply than the Akra–Bazzi theorem itself. Some proof methods that facilitate applying the Master theorem are also included. For a more detailed explanation of the formalisa-tion and the proof methods, see the accompanying paper (publicatio
This paper presents a formalization of the first book of the series ``Elements of Mathematics'' by ...
Kolmogorov Complexity constitutes an integral part of computability theory, information theory, and ...
Kolmogorov Complexity constitutes an integral part of computability theory, information theory, and ...
This article contains a formalisation of the Akra–Bazzi method [1] based on a proof by Leighton [2]....
Divide-and-conquer is a popular strategy to design algorithms. It splits the input into several smal...
Divide-and-conquer is a popular strategy to design algorithms. It splits the input into several smal...
none1noReverse Complexity is a long term research program aiming at discovering the abstract, logica...
The AKS algorithm (by Agrawal, Kayal and Saxena) is a significant theoretical result proving “PRIMES...
[[abstract]]Let M(n) be defined by the recurrence M(n) = max (M(k) + M(n - k) + min(f(k), f(n - k)))...
The complexity of combinatorial problems with succinct input representation. - In: Acta informatica....
We present a formalisation of the Agrawal-Kayal-Saxena (AKS) algorithm, a deterministic polynomial-t...
In this article we formalize in Mizar [1], [2] the maximum number of steps taken by some number theo...
Abstract. In this paper we analyze O’Hara’s partition bijection. We present three type of results. F...
P versus NP is considered as one of the most important open problems in computer science. This consi...
I will discuss the basic notions related to the complexity theory. The classes of P and NP problems ...
This paper presents a formalization of the first book of the series ``Elements of Mathematics'' by ...
Kolmogorov Complexity constitutes an integral part of computability theory, information theory, and ...
Kolmogorov Complexity constitutes an integral part of computability theory, information theory, and ...
This article contains a formalisation of the Akra–Bazzi method [1] based on a proof by Leighton [2]....
Divide-and-conquer is a popular strategy to design algorithms. It splits the input into several smal...
Divide-and-conquer is a popular strategy to design algorithms. It splits the input into several smal...
none1noReverse Complexity is a long term research program aiming at discovering the abstract, logica...
The AKS algorithm (by Agrawal, Kayal and Saxena) is a significant theoretical result proving “PRIMES...
[[abstract]]Let M(n) be defined by the recurrence M(n) = max (M(k) + M(n - k) + min(f(k), f(n - k)))...
The complexity of combinatorial problems with succinct input representation. - In: Acta informatica....
We present a formalisation of the Agrawal-Kayal-Saxena (AKS) algorithm, a deterministic polynomial-t...
In this article we formalize in Mizar [1], [2] the maximum number of steps taken by some number theo...
Abstract. In this paper we analyze O’Hara’s partition bijection. We present three type of results. F...
P versus NP is considered as one of the most important open problems in computer science. This consi...
I will discuss the basic notions related to the complexity theory. The classes of P and NP problems ...
This paper presents a formalization of the first book of the series ``Elements of Mathematics'' by ...
Kolmogorov Complexity constitutes an integral part of computability theory, information theory, and ...
Kolmogorov Complexity constitutes an integral part of computability theory, information theory, and ...