## Search

Now showing items 1-10 of 10

#### Symmetry structure in discrete models of biochemical systems : natural subsystems and the weak control hierarchy in a new model of computation driven by interactions

(2015-07-28)

Interaction Computing (IC) is inspired by the observation that cell metabolic/regulatory systems construct order dynamically, through constrained interactions between their components and based on a wide range of possible ...

#### Symmetries of Automata

(2015-03-24)

For a given reachable automaton A, we prove that the (state-)endomorphism monoid End(A) divides its characteristic monoid M(A). Hence so does its (state-)automorphism group Aut(A), and, for finite A, Aut(A) is a homomorphic ...

#### Computational understanding and manipulation of symmetries

(Springer-Verlag, (Berlin-Heidelberg), 2015-01)

For natural and artificial systems with some symmetry structure, computational understanding and manipulation can be achieved without learning by exploiting the algebraic structure. This algebraic coordinatization is based ...

#### SgpDec : Cascade (de)compositions of finite transformation semigroups and permutation groups

(Springer-Verlag, (Berlin-Heidelberg), 2014)

We describe how the SgpDec computer algebra package can be used for composing and decomposing permutation groups and transformation semigroups hierarchically by directly constructing substructures of wreath products, the ...

#### Exploring the concept of interaction computing through the discrete algebraic analysis of the Belousov-Zhabotinsky reaction

(2013-05)

Interaction computing (IC) aims to map the properties of integrable low-dimensional non-linear dynamical systems to the discrete domain of finite-state automata in an attempt to reproduce in software the self-organizing ...

#### BIOMICS Project : Biological and Mathematical Basis of Interaction Computing

(2012)

The main idea that led us to propose this project is inspired by the observation that cell metabolic/regulatory systems are able to self-organise and/or construct order dynamically, through random interactions between their ...

#### Hierarchical coordinate systems for understanding complexity and its evolution with applications to genetic regulatory networks

(2008)

Beyond complexity measures, sometimes it is worth in addition investigating how complexity changes structurally, especially in artificial systems where we have complete knowledge about the evolutionary process. Hierarchical ...

#### Making sense of the sensory data - coordinate systems by hierarchical decomposition

(2006)

Having the right sensory channels is an important ingredient for building an autonomous agent, but we still have the problem of making sense of the sensory data for the agent. This is the basic problem of artificial ...

#### Algebraic hierarchical decomposition of finite state automata : comparison of implementations for Krohn-Rhodes Theory

(2005)

The hierarchical algebraic decomposition of finite state automata (Krohn- Rhodes Theory) has been a mathematical theory without any computational implementations until the present paper, although several possible and ...

#### Evolvability of the gentotype-phenotype relation in populations of self-replicating digital organisms in a Tierra-like system

(2003)

In other Tierra-like systems the genotype is a sequence of instructions and the phenotype is the corresponding executed algorithm. This way the genotype-phenotype mapping is constrained by the structure of a creature’s ...