- Gh. P
Pãun: M Membrane C
- Computing. A
After T Twenty Y Years 1 1
Me em mb br ra an ne e C Co
- m
mp pu ut ti in ng g
After T Twenty Y Years
G Gh he eo
- r
rg gh he e P Pã ãu un n
Romanian A Academy, B Bucharest gpaun@us.es, c curteadelaarges@gmail.com
Me em mb br ra an ne e C Co om mp pu ut ti in ng g - - PowerPoint PPT Presentation
Me em mb br ra an ne e C Co om mp pu ut ti in ng g After T Twenty Y Years G Gh he eo or rg gh he e P P u un n Romanian A Academy, B Bucharest gpaun@us.es, c curteadelaarges@gmail.com Gh. P Pun: M
Pãun: M Membrane C
After T Twenty Y Years 1 1
Romanian A Academy, B Bucharest gpaun@us.es, c curteadelaarges@gmail.com
Pãun: M Membrane C
After T Twenty Y Years 2 2
Romanian A Academy, B Bucharest gpaun@us.es, c curteadelaarges@gmail.com
*A Al le ex xa an nd de er r D Du um ma as s: : Tw we en nt ty y Y Ye ea ar rs s A Af ft te er r/ /V Vi in ng gt t a an ns s a ap pr rè ès s, , co
nt ti in nu ua at ti io
n o
f Th he e T Th hr re ee e M Mu us sk ke et te ee er rs s/ /L Le es s t tr ro
is s mo
us sq qu ue et ta ai ir re es s
Pãun: M Membrane C
After T Twenty Y Years 3 3
David H Hilbert ( (1928): w what c can b be mechanically computed? Answer: A Alan T Turing, 1 1936 ( (after s several o
proposals: P Post, C Church, K Kleene, Gödel...) Turing P PhD t thesis, P Princeton, 1 1939: Systems o
Logic B Based o
Ordinals (supervisor: A
Church)
Actually, a also i in N Natural C Computing “ “everything” g goes b back t to Turing ( (genetic, n neural c computing, o
hypercomputation...)
Pãun: M Membrane C
After T Twenty Y Years 4 4
Michael C Conrad, R Richard F Feynman, C Charles B Bennett ( (1970)
Tom H Head ( (1987) Leonard A Adleman ( (1994)
Pãun: M Membrane C
After T Twenty Y Years 5 5
Hartmanis: A About t the n nature o
computer s
the E EATCS, 53 ( (June 1 1994), 1 170-1 190
Hartmanis: O On t the w weight o
the E EATCS, 5 55 ( (February 1 1995), 136-1 138 Adleman = = d demo, b but t the weight is a a n new ( (prohibitive) c complexity m measure
Pãun: M Membrane C
After T Twenty Y Years 6 6
A l lot o
theory, e experiments, t toy p problems s solved, n new t technologies, n nano-constructions, by-p products, m maybe c classified a applications ( (cryptography),...
Gh. . Pã ãu un n, , G
Ro
ze en nb be er rg g, , A A. . S Sa al lo
maa a: : DN NA C Com mp pu ut ti in ng g. . N Ne ew w C Com mp pu ut ti in ng g P Pa ar ra ad di ig gm ms s, , Sp pr ri in ng ge er r 1 19 99 98 8; ; T To
ky yo
19 99 99 9; ; T Tsi in ng gh hu ua a U Un ni iv v. . P Pr re es ss s, , B Be ei ij ji in ng g, , 2 20 00 04 4; ; M Mi ir r, , M Mo
sk ko
w, , 2 20 00 05 5 It t w wa as s i in n T Tu ur rk ku u
( (w wi it th h S Sh he en ng g Y Yu u a an nd d A Al le ex xa an nd dr ru u M Ma at te ee es sc cu u) )
Tr ro
is s M Mo
us sq qu ue et ta ai ir re es s. .. .. .
Pãun: M Membrane C
After T Twenty Y Years 7 7
Gh. . Pã ãu un n, , G
Ro
ze en nb be er rg g, , A A. . S Sa al lo
maa a: : DN NA C Com mp pu ut ti in ng g. . N Ne ew w C Com mp pu ut ti in ng g P Pa ar ra ad di ig gm ms s, , Sp pr ri in ng ge er r 1 19 99 98 8; ; T To
ky yo
19 99 99 9; ; T Tsi in ng gh hu ua a U Un ni iv v. . P Pr re es ss s, , B Be ei ij ji in ng g, , 2 20 00 04 4; ; M Mi ir r, , M Mo
sk ko
w, , 2 20 00 05 5
But a a l little b bit t too b big f for m me...
Pãun: M Membrane C
After T Twenty Y Years 8 8
Gh. . P Pã ãu un n: : C Co
mpu ut ti in ng g w wi it th h M Mem mbr ra an ne es s. . Jo
ur rn na al l o
f C Co
mp pu ut te er r a an nd d S Sys st te em m S Sc ci ie en nc ce es s, , 61 1, , 1 1 ( (2 20 00 00 0) ), , 1 10 08 8-1 14 43 3
Pãun: M Membrane C
After T Twenty Y Years 9 9
Pãun: C Computing w with M
Computer a and S System S Sciences, 6 61, 1 ( (2000), 1 108- 143 (cell-l like P s systems, s symbol o
string o
Pãun: P P s systems w with active m membranes: Attacking N NP-c complete p problems, J. A Automata, , Languages, , a and C Combinatorics, , 6, 1 1 ( (2001), 7 75-9 90
Pãun, G
Pãun: T The p power o
communication: P P s systems w with symport/antiport, New G Generation Computing, , 20, 3 3 ( (2002), 2 295-3 306
Martin-V Vide, J
Pazos, G
Pãun, A
Rodriguez-P Paton: Tissue P P s systems, Theoretical C Computer S Sci., 296, 2 2 ( (2003), 2 295-3 326
Pãun, R
Pãun: M Membrane c computing a and e economics: Numerical P P systems, Fundamenta Informaticae, , 73, 1 1-2 2 ( (2006), 2 213-2 227
Ionescu, G
Yokomori: Spiking n neural P P s systems, Fundamenta I Informaticae, 7 71, 2 2-3 3 (2006), 2 279-3 308
Pãun, M M.J. P Perez-J Jimenez: S Solving p problems i in a a d distributed w way i in m membrane c computing: dP s systems, International J
Computers, , C Communication a and C Control, , 5, 2 2 ( (2010), 2 238-2 252 Other b branches: c conformon, p population, k kernel, m metabolic, m multi-e environment, p polymorphic, e
et tc c. . etc. e
et tc c. . . .. .. .
Pãun: M Membrane C
After T Twenty Y Years 1 10
Pãun: M Membrane C
After T Twenty Y Years 1 11
Pãun: M Membrane C
After T Twenty Y Years 1 12
Pãun: M Membrane C
After T Twenty Y Years 1 13
Pãun: M Membrane C
After T Twenty Y Years 1 14
Pãun: M Membrane C
After T Twenty Y Years 1 15
Pãun: M Membrane C
After T Twenty Y Years 1 16
Pãun: M Membrane C
After T Twenty Y Years 1 17
Pãun: M Membrane C
After T Twenty Y Years 1 18
Journal o
Membrane C Computing Editor-i in-C Chief: L Linqiang P Pan Honorary E Editor-i in-C Chief: G Gheorghe P Pãun Managing E Editor: G Gexiang Z Zhang
Pãun: M Membrane C
After T Twenty Y Years 1 19
Pãun: M Membrane C
After T Twenty Y Years 2 20