#
Modeling Computing Devices and Processes by Information Operators^{ †}

^{1}

^{2}

^{*}

^{†}

## Abstract

**:**

## 1. Introduction

## 2. Operator Modeling

**Definition**

**O1.**

**Definition**

**O2.**

## 3. Conclusions

## Funding

## Conflicts of Interest

## References

- Banach, S. Théorie des Opérations Linéaires; Monografie Matematyczne: Warszawa, Poland, 1932; Volume 1. [Google Scholar]
- Burgin, M.; Brenner, J. Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical Issues. Philosophies
**2017**, 2, 21. [Google Scholar] [CrossRef] - Dirac, P. The Principles of Quantum Mechanics; Oxford University Press: Oxford, UK, 1930. [Google Scholar]
- Exner, P.; Havlíček, M. Hilbert Space Operators in Quantum Physics; Springer: New York, NY, USA, 2008. [Google Scholar]
- Brown, A.; Pearcy, C. Introduction to Operator Theory I: Elements of Functional Analysis; Springer: New York, NY, USA; Heidelberg/Berlin, Germany, 1977. [Google Scholar]
- Ball, J.A.; Bolotnikov, V.; Helton, J.W.; Rodman, L. (Eds.) Topics in Operator Theory (Operator Theory: Advances and Applications); Birkhäuser Verlag: Basel, Switzerland, 2010. [Google Scholar]
- Burgin, M. Semitopological Vector Spaces: Hypernorms, Hyperseminorms and Operators; Apple Academic Press: Toronto, NA, Canada, 2017. [Google Scholar]
- Harris, Z. A Theory of Language and Information: A Mathematical Approach; Oxford University Press: Oxford, UK, 1991. [Google Scholar]
- Burgin, M. Epistemic Information in Stratified M-Spaces. Information
**2011**, 2, 697–726. [Google Scholar] [CrossRef] - Burgin, M. Weighted E-Spaces and Epistemic Information Operators. Information
**2014**, 5, 357–388. [Google Scholar] [CrossRef] - Brenner, J.; Burgin, M. Information as a Natural and Social Operator. Inf. Theor. Appl.
**2011**, 18, 33–49. [Google Scholar] - Downey, A.B. How to Think Like a Computer Scientist: Learning with Python; Green Tea Press: Needham, MA, USA, 2002. [Google Scholar]
- Eckel, B. Thinking in Java; Prentice Hall: Upper Saddle River, NJ, USA, 2006. [Google Scholar]
- Burgin, M. Theory of Named Sets; Nova Science Publishers: New York, NY, USA, 2011. [Google Scholar]
- Kolmogorov, A.N. On the Concept of Algorithm. Russian Math. Surv.
**1953**, 8, 175–176. [Google Scholar] - Burgin, M.; Adamatzky, A. Structural machines and slime mold computation. Int. J. Gener. Syst.
**2017**, 45, 201–224. [Google Scholar] [CrossRef] - Codd, E.F. Cellular Automata; Academic: New York, NY, USA, 1968. [Google Scholar]
- Bar-Hillel, Y.; Carnap, R. Semantic Information. Brit. J. Phil. Sci.
**1958**, 4, 147–157. [Google Scholar] [CrossRef] - Gärdenfors, P. Conceptual Spaces: The Geometry of Thought; MIT Press: Cambridge, MA, USA, 2000. [Google Scholar]
- Shreider, Y.A. On Semantic Aspects of Information Theory. Inf. Cybern. (Moscow, Radio)
**1967**, 10, 15–47. (in Russian). [Google Scholar] - Rozenberg, G.; Kari, L. The many facets of natural computing. Commun. ACM
**2008**, 51, 72–83. [Google Scholar] - Dodig-Crnkovic, G. Knowledge Generation as Natural Computation. J. Syst. Cybern. Inf.
**2008**, 6, 12–16. [Google Scholar] - Dodig-Crnkovic, G. Dynamics of Information as Natural Computation. Information
**2011**, 2, 460–477. [Google Scholar] [CrossRef] - Dodig-Crnkovic, G. Nature as a Network of Morphological Infocomputational Processes for Cognitive Agents. Eur. Phys. J.
**2017**, 226, 181–195. [Google Scholar] [CrossRef] - Dodig-Crnkovic, G. Cognition as Embodied Morphological Computation. Phil. Theory Artif. Intell.
**2017**, 19–23. [Google Scholar] [CrossRef] - Paul, C. Morphology and Computation. In Proceedings of the International Conference on the Simulation of Adaptive Behavior, Los Angeles, CA, USA, 16–18 September 2004; pp. 33–38. [Google Scholar]
- Pfeifer, R.; Iida, F. Morphological computation: Connecting body, brain and environment. Jpn. Sci. Mon.
**2005**, 58, 48–54. [Google Scholar] - Ehresmann, A.C. MENS, an Info-Computational Model for (Neuro-)cognitive Systems Capable of Creativity. Entropy
**2012**, 14, 1703–1716. [Google Scholar] [CrossRef] - Freedman, M.H.; Kitaev, A.; Larsen, M.J.; Wang, Z. Topological Quantum Computation. Bull. Am. Math. Soc.
**2002**, 40, 31–38. [Google Scholar] [CrossRef]

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. |

© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

## Share and Cite

**MDPI and ACS Style**

Burgin, M.; Dodig-Crnkovic, G.
Modeling Computing Devices and Processes by Information Operators. *Proceedings* **2020**, *47*, 18.
https://doi.org/10.3390/proceedings2020047018

**AMA Style**

Burgin M, Dodig-Crnkovic G.
Modeling Computing Devices and Processes by Information Operators. *Proceedings*. 2020; 47(1):18.
https://doi.org/10.3390/proceedings2020047018

**Chicago/Turabian Style**

Burgin, Mark, and Gordana Dodig-Crnkovic.
2020. "Modeling Computing Devices and Processes by Information Operators" *Proceedings* 47, no. 1: 18.
https://doi.org/10.3390/proceedings2020047018