Algorithmic complexity provides a mathematical formal notion of string complexity. Building on this, one arrives at mathematical ‘gold standard’ (though incomputable) definitions of randomness, induction, similarity, and even intelligence. These definitions can be turned into practical algorithms by using common compressors to approximate the universal solutions. One can consider the theories as idealized cognition with respect to which one can aim to describe actual biological cognition by listing biases and limitations that need to be defined relative to some normative reference
We propose a test based on the theory of algorithmic complexity and an experimental evaluation of Le...
In 1964 Kolmogorov introduced the concept of the complexity of a finite object (for instance, the wo...
Complexity analysis provides a measure of how well the com-putations being performed by a cognitive ...
In this paper, we present a theoretical effort to connect the theory of program size to psychology b...
Although information content is invariant up to an additive constant, the range of possible additive...
Contains a description of a generalized and constructive formal model for the processes of...
In this paper, we present a theoretical effort to connect the theory of program size to psychology b...
We overview logical and computational explanations of the notion of tractability as applied in cogni...
There has been a common perception that computational complexity is a theory of "bad news" because i...
In this paper we apply some elementary computability-theoretic notions to algorithmic complexity the...
This thesis establishes results in several different areas of computability theory. The first chapt...
We give a denition for the Kolmogorov com-plexity of a pure quantum state. In classical in-formation...
Information theory is a well developed field, but does not capture the essence of what information ...
Regarding the widespread confusion about the concept and nature of complexity, information and biolo...
All science is founded on the assumption that the physical universe is ordered. Our aim is to challe...
We propose a test based on the theory of algorithmic complexity and an experimental evaluation of Le...
In 1964 Kolmogorov introduced the concept of the complexity of a finite object (for instance, the wo...
Complexity analysis provides a measure of how well the com-putations being performed by a cognitive ...
In this paper, we present a theoretical effort to connect the theory of program size to psychology b...
Although information content is invariant up to an additive constant, the range of possible additive...
Contains a description of a generalized and constructive formal model for the processes of...
In this paper, we present a theoretical effort to connect the theory of program size to psychology b...
We overview logical and computational explanations of the notion of tractability as applied in cogni...
There has been a common perception that computational complexity is a theory of "bad news" because i...
In this paper we apply some elementary computability-theoretic notions to algorithmic complexity the...
This thesis establishes results in several different areas of computability theory. The first chapt...
We give a denition for the Kolmogorov com-plexity of a pure quantum state. In classical in-formation...
Information theory is a well developed field, but does not capture the essence of what information ...
Regarding the widespread confusion about the concept and nature of complexity, information and biolo...
All science is founded on the assumption that the physical universe is ordered. Our aim is to challe...
We propose a test based on the theory of algorithmic complexity and an experimental evaluation of Le...
In 1964 Kolmogorov introduced the concept of the complexity of a finite object (for instance, the wo...
Complexity analysis provides a measure of how well the com-putations being performed by a cognitive ...