Elementary theory of plasticity —Part I—

Valuation Theory. Part I

In the article we introduce a valuation function over a field [1]. Ring of non negative elements and its ideal of positive elements have been also defined. The notation and terminology used here have been introduced in the following We use the following convention: x, y, z, s are extended real numbers, i is an integer, and n, m are natural numbers. The following propositions are true: (1) If x ...

The Causal-Compositional Concept of Information Part I. Elementary Theory: From Decompositional Physics to Compositional Information

This first part of the study introduces an elementary concept of information. Our interest for newness, our curiosity in the new, will be considered as a main building block of information, and of reality itself. A typical definition of information (the reduction of uncertainty) needs to be fundamentally inverted: Information is a compositional activity, including the inconsistent, the paradox,...

A Survey of Elementary Object Systems Part I: Decidability Results

This contribution presents the formalism of Elementary Object Systems (Eos). Object nets are Petri nets which have Petri nets as tokens – an approach known as the nets-within-nets paradigm. Since object nets in general are immediately Turing complete, we introduce the restricted class of elementary object nets which restrict the nesting of nets to the depth of two. In this work we study the rel...

– 1 – Supersymmetry , Part I ( Theory )

I.

Part I: Concept and Theory