Abstract. We study randomness notions given by higher recursion theory, establishing the relationships Π 1 1-randomness ⊂ Π 1 1-Martin-Löf randomness ⊂ ∆ 1 1randomness = ∆ 1 1-Martin-Löf randomness. We characterize the set of reals that are low for ∆ 1 1 randomness as precisely those that are ∆ 1 1-traceable. We prove that there is a perfect set of such reals. 1
The goal of our paper is to propose a way to obtain more refined definitions of randomness than the ...
AbstractKurtz randomness is a notion of algorithmic randomness for real numbers. In particular a rea...
(eng) The goal of our paper is to propose a way to obtain more refined definitions of randomness tha...
Abstract. We study randomness notions given by higher recursion theory, es-tablishing the relationsh...
I Martin-Löf randomness is the most common formalization of randomness I Certain criticisms have sup...
Abstract. We prove that there exists a noncomputable c.e. real which is low for weak 2-randomness, a...
An analog of ML-randomness in the effective descriptive set theory setting is studied, where the r.e...
Schnorr randomness is a notion of algorithmic randomness for real numbers closely related to Martin-...
We investigate the strength of a randomness notion R as a set-existence principle in second-order ar...
AbstractSchnorr randomness is a notion of algorithmic randomness for real numbers closely related to...
AbstractIn [3], Brodhead, Downey and Ng introduced some new variations of the notions of being Marti...
One of the main lines of research in the field of algorithmic randomness is that of lowness for rand...
In this dissertation we investigate two questions in the subject of algorithmic randomness. The firs...
AbstractIn [3], Brodhead, Downey and Ng introduced some new variations of the notions of being Marti...
Abstract. We compare various notions of algorithmic randomness. First we consider relativized random...
The goal of our paper is to propose a way to obtain more refined definitions of randomness than the ...
AbstractKurtz randomness is a notion of algorithmic randomness for real numbers. In particular a rea...
(eng) The goal of our paper is to propose a way to obtain more refined definitions of randomness tha...
Abstract. We study randomness notions given by higher recursion theory, es-tablishing the relationsh...
I Martin-Löf randomness is the most common formalization of randomness I Certain criticisms have sup...
Abstract. We prove that there exists a noncomputable c.e. real which is low for weak 2-randomness, a...
An analog of ML-randomness in the effective descriptive set theory setting is studied, where the r.e...
Schnorr randomness is a notion of algorithmic randomness for real numbers closely related to Martin-...
We investigate the strength of a randomness notion R as a set-existence principle in second-order ar...
AbstractSchnorr randomness is a notion of algorithmic randomness for real numbers closely related to...
AbstractIn [3], Brodhead, Downey and Ng introduced some new variations of the notions of being Marti...
One of the main lines of research in the field of algorithmic randomness is that of lowness for rand...
In this dissertation we investigate two questions in the subject of algorithmic randomness. The firs...
AbstractIn [3], Brodhead, Downey and Ng introduced some new variations of the notions of being Marti...
Abstract. We compare various notions of algorithmic randomness. First we consider relativized random...
The goal of our paper is to propose a way to obtain more refined definitions of randomness than the ...
AbstractKurtz randomness is a notion of algorithmic randomness for real numbers. In particular a rea...
(eng) The goal of our paper is to propose a way to obtain more refined definitions of randomness tha...