The paper considers main features of two groups of logics for biological devices, called Physarum Chips, based on the plasmodium. Let us recall that the plasmodium is a single cell with many diploid nuclei. It propagates networks by growing pseudopodia to connect scattered nutrients (pieces of food). As a result, we deal with a kind of computing. The first group of logics for Physarum Chips formalizes the plasmodium behaviour under conditions of nutrient-poor substrate. This group can be defined as standard storage modification machines. The second group of logics for Physarum Chips covers the plasmodium computing under conditions of nutrient-rich substrate. In this case the plasmodium behaves in a massively parallel manner and propagates in all possible directions. The logics of the second group are unconventional and deal with non-well-founded data such as infinite streams.
1. A. Adamatzky, V. Erokhin, M. Grube, T. Schubert, A. Schumann, “Physarum Chip Project: Growing Computers From Slime Mould,” International Journal of Unconventional Computing, vol. 8, no. 4, pp. 319-323, 2012.
2. A. Schumann, “Conventional and Unconventional Approaches to Swarm Logic,” in Advances in Unconventional Computing, A. Adamatzky, Ed., Springer 2016, submitted for publication.
3. A. Schumann, “Conventional and unconventional reversible logic gates on Physarum polycephalum,” International Journal of Parallel, Emergent and Distributed Systems, 2015, DOI: 10.1080/17445760.2015.1068775.
4. A. Schumann, “From Swarm Simulations to Swarm Intelligence,” in 9th EAI International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS), ACM, 2015, submitted for publication.
5. A. Schumann, “Non-Linear Permutation Groups on Physarum Polycephalum,” in ICSAI 2014, IEEE Xplore, 15‐17 Nov. 2014, pp. 246-251.
6. A. Schumann, “p-Adic Valued Fuzzyness and Experiments with Physarum Polycephalum,” in FSKD 2014, IEEE Xplore, 19‐21 Aug. 2014, pp. 466-472.
7. A. Schumann, “p-Adic valued logical calculi in simulations of the slime mould behaviour,” Journal of Applied Non-Classical Logics, 2015, DOI: 10.1080/11663081.2015.1049099.
8. A. Schumann, “Payoff Cellular Automata and Reflexive Games,” Journal of Cellular Automata, vol. 9, no. 4, pp. 287-313, 2014.
9. A. Schumann, “Physarum Polycephalum Syllogistic L-Systems and Judaic Roots of Unconventional Computing,” Studies in Logic, Grammar and Rhetoric, vl. 44, no. 57, pp. 181-201, 2016, DOI: 10.1515/slgr-2016-0011.
10. A. Schumann, “Physarum Syllogistic L-Systems,” in FUTURE COMPUTING 2014, The Sixth International Conference on Future Computational Technologies and Applications, 2014.
11. A. Schumann, “Probabilities on Streams and Reflexive Games,” Operations Research and Decisions, vol. 24, no. 1, pp. 71 - 96, 2014.
12. A. Schumann, “Proof-Theoretic Cellular Automata as Logic of Unconventional Computing,” in International Journal of Unconventional Computing”, vol. 8, no. 3, pp. 263-280, 2012.
13. A. Schumann, “Reflexive Games and Non-Archimedean Probabilities,” p-Adic Numbers, Ultrametric Analysis and Applications, vol. 6, no. 1, pp. 66-79, January 2014.
14. A. Schumann, “Reversible Logic Gates on Physarum Polycephalum,” in International Conference of Numerical Analysis and Applied Mathematics, September 22-28, Special Volume of the AIP Conference Proceedings 2014.
15. A. Schumann, “Syllogistic Versions of Go Games on Physarum Polycephalum,” in Advances in Physarum Machines, A. Adamatzky, Ed., vol. 21 of the series Emergence, Complexity and Computation, Springer 2016, pp. 651-685.
16. A. Schumann, “Toward A Computational Model of Actin Filament Networks,” in Proceedings of the International Conference on Bio-inspired Systems and Signal Processing, SCITEPRESS, 2016, submitted for publication.
17. A. Schumann, “Towards context-based concurrent formal theories,” Parallel Processing Letters, vol. 25, 2015, 1540008.
18. A. Schumann, A. “Go Games on Plasmodia of Physarum Polycephalum,” in Annals of Computer Science and Information Systems, Proceedings of the Federated Conference on Computer Science and Information Systems, IEEE Xplore, 2015, pp. 607-614.
19. A. Schumann, A. Adamatzky, “Physarum Polycephalum Diagrams for Syllogistic Systems,” IfCoLog Journal of Logics and their Applications, vol. 2, no. 1, pp. 35-68, 2015.
20. A. Schumann, A. Adamatzky, “The Double-Slit Experiment with Physarum Polycephalum and p-Adic Valued Probabilities and Fuzziness,” International Journal of General Systems, 27 Jan 2015, DOI: 10.1080/03081079.2014.997530.
21. A. Schumann, A. Khrennikov, “Quantum Non-Objectivity from Performativity of Quantum Phenomena,” Physica Scripta, no. T163, pp. 15, 2014.
22. A. Schumann, J. Woleński, “Two Squares of Oppositions and Their Applications in Pairwise Comparisons Analysis,” Fundamenta Informaticae, 2016, submitted for publication.
23. A. Schumann, K. Pancerz, “Interfaces in a Game-Theoretic Setting for Controlling the Plasmodium Motions,” in BIOSTEC (Biosignals), Scitepress 2014.
24. A. Schumann, K. Pancerz, “p-Adic Computation with Physarum,” in Advances in Physarum Machines, A. Adamatzky, Ed., vol.21 of the series Emergence, Complexity and Computation, Springer, 2016, pp. 619-649.
25. A. Schumann, K. Pancerz, “Petri Net Models of Simple Rule-Based Systems for Programming Physarum Machines,” in Proceedings of the 24th International Workshop on Concurrency, Specification and Programming, Z. Suraj, L. Czaja, Eds., CEUR Workshop Proceedings 1492, CEUR-WS.org, September 28-30, Rzeszow - Poland 2015, pp. 155-160.
26. A. Schumann, K. Pancerz, “Roughness in Timed Transition Systems Modeling Propagation of Plasmodium,” in Rough Sets and Knowledge Technology - 10th International Conference, RSKT, held as part of the International Joint Conference on Rough Sets, IJCRS, November 20-23, Proceedings, D.Ciucci, G. Wang, S. Mitra, W.Wei-Zhi, Eds., Lecture Notes in Computer Science 9436, Springer, Tianjin - China 2015, pp. 482-491.
27. A. Schumann, K. Pancerz, “Timed Transition System Models for Programming Physarum Machines: Extended Abstract”, in Proceedings of the Workshop on Concurrency, L. Popova- Zeugmann, Ed., Specification and Programming (CS&P), Chemnitz, September 29 - October 1, Germany 2014, pp. 180-183.
28. A. Schumann, K. Pancerz, “Towards an Object-Oriented Programming Language for Physarum Polycephalum Computing,” in Proceedings of the Workshop on Concurrency, Specification and Programming (CS&P), M. Szczuka, L.Czaja, M. Kacprzak, Eds. September 25-27, Warsaw - Poland 2013, , pp. 389-397.
29. A. Schumann, K. Pancerz, “Towards an Object-Oriented Programming Language for Physarum Polycephalum Computing: A Petri Net Model Approach,” Fundamenta Informaticae, vol. 133, no. 2-3, pp. 271-285, 2014.
30. A. Schumann, K. Pancerz, A. Adamatzky, M. Grube, “Bio-Inspired Game Theory: The Case of Physarum Polycephalum,” in BICT, ACM, 1‐3 Dec. 2014.
31. A. Schumann, K. Pancerz, A. Szelc, “The Swarm Computing Approach to Business Intelligence,” Studia Humana, vol. 4, no. 3, pp. 41-50, 2015, DOI: 10.1515/sh-2015-0019.
32. A. Schumann, K. Pancerz, J. Jones, “Towards Logic Circuits Based on Physarum Polycephalum Machines: the Ladder Diagram Approach,” in Proceedings of the 7th International Conference on Biomedical Electronics and Devices (BIODEVICES’2014), A. Cliquet, G. Plantier, T. Schultz, A. Fred, H. Gamboa, Eds. Angers, March 3-6, France 2014, pp. 165-170.
33. A. Schumann, K., Pancerz, “PhysarumSoft - a Software Tool for Programming Physarum Machines and Simulating Physarum Games,” in Annals of Computer Science and Information Systems. Proceedings of the Federated Conference on Computer Science and Information Systems, IEEE Xplore, 2015, pp. 615-626.
34. A. Schumann, L. Akimova, “Process Calculus and Illocutionary Logic for Analyzing the Behavior of Schistosomatidae (Trematoda: Digenea),” in Computational Intelligence, Medicine and Biology - Selected Links. K. Pancerz, E. Zaitseva, Eds. Studies in Computational Intelligence 600, Springer 2015.
35. A. Schumann, L. Akimova, “Simulating of Schistosomatidae (Trematoda: Digenea) Behaviour by Physarum Spatial Logic,” in Annals of Computer Science and Information Systems, vol.1. Proceedings of the Federated Conference on Computer Science and Information Systems. IEEE Xplore, 2013, pp. 225-2301.
36. A. Schumann, L. Akimova, “Syllogistic System for the Propagation of Parasites. The Case of Schistosomatidae (Trematoda: Digenea),” Studies in Logic, Grammar and Rhetoric, vol. 40, no. 1, pp. 303-319, 2015.
37. A. Schumann, Unconventional logic for massively parallel reasoning, in Human System Interaction (HSI), The 6th International Conference on 6-8 June 2013, IEEE Xplore, (2013), pp. 298-305, DOI 10.1109/HSI.2013.6577839
38. K. Pancerz, A. Schumann, “A Rough Set Version of the Go Game on Physarum Machines,” in: 9th EAI International Conference on Bio-inspired Information and Communications Technologies (formerly BIONETICS), ACM, 2015, submitted for publication.
39. K. Pancerz, A. Schumann, “Principles of an Object-Oriented Programming Language for Physarum Polycephalum Computing,” in Proceedings of the 10th International Conference on Digital Technologies (DT'2014), Zilina, July 9-11, Slovakia 2014, pp. 273-280.
40. K. Pancerz, A. Schumann, “Rough Set Description of Strategy Games on Physarum Machines,” in Advances in Unconventional Computing, A. Adamatzky, Ed., Springer 2016, submitted for publication.
41. K. Pancerz, A. Schumann, “Rough Set Models of Physarum Machines,” International Journal of General Systems, 27 Jan 2015, DOI: 10.1080/03081079.2014.997529.
42. K. Pancerz, A. Schumann, “Some Issues on an Object-Oriented Programming Language for Physarum Machines,” in Applications of Computational Intelligence in Biomedical Technology. R. Bris, J. Majernik, K. Pancerz, E. Zaitseva, Eds. Studies in Computational Intelligence 606, Springer 2016.