?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=%C5%81ukasiewicz-Moisil+Many-Valued+Logic+Algebra+of+Highly-Complex+Systems&rft.creator=Baianu%2C+Professor+I.C.&rft.creator=Georgescu%2C+Professor+George&rft.creator=Glazebrook%2C+Professor+James+F.&rft.subject=Theoretical+Biology&rft.subject=Computational+Neuroscience&rft.subject=Complexity+Theory&rft.subject=Dynamical+Systems&rft.subject=Neural+Nets&rft.subject=Neurogenetics&rft.subject=Neural+Modelling&rft.subject=Neurophysiology&rft.description=A+novel+approach+to+self-organizing%2C+highly-complex+systems+(HCS)%2C+such+as+living+organisms+and+artificial+intelligent+systems+(AIs)%2C+is+presented+which+is+relevant+to+Cognition%2C+Medical+Bioinformatics+and+Computational++Neuroscience.++Quantum+Automata+(QAs)+were+defined+in+our+previous+work+as+generalized%2C+probabilistic+automata+with+quantum+state+spaces++(Baianu%2C+1971).+Their+next-state+functions+operate+through+transitions+between+quantum+states+defined+by+the+quantum+equations+of+motion+in+the+Schroedinger+representation%2C+with+both+initial+and+boundary+conditions+in+space-time.++Such+quantum+automata+operate+with+a+quantum+logic%2C+or+Q-logic%2C+significantly+different+from+either+Boolean+or+%C5%81ukasiewicz++many-valued+logic.++A+new+theorem+is+proposed+which+states+that+the+category+of+quantum+automata+and+automata--homomorphisms+has+both+limits+and+colimits.++Therefore%2C+both+categories+of+quantum+automata+and+classical+automata+(sequential+machines)+are+bicomplete.+A+second+new+theorem+establishes+that+the+standard+automata+category+is+a+subcategory+of+the+quantum+automata+category.+The+quantum+automata+category+has+a+faithful+representation+in+the+category+of+Generalized+(M%2CR)--Systems+which+are+open%2C+dynamic+biosystem+networks++with+defined+biological+relations+that+represent+physiological+functions+of+primordial+organisms%2C+single+cells+and+higher+organisms.&rft.publisher=BRAIN&rft.contributor=Iantovics%2C+Dr.++Barna&rft.date=2010-07-12&rft.type=Journal+(Paginated)&rft.type=PeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F7751%2F1%2FBRAINbgb2k10All_LMs.pdf&rft.format=text%2Fplain&rft.identifier=http%3A%2F%2Fcogprints.org%2F7751%2F7%2FBrain1B_revised.tex&rft.identifier=++Baianu%2C+Professor+I.C.+and+Georgescu%2C+Professor+George+and+Glazebrook%2C+Professor+James+F.++(2010)+%C5%81ukasiewicz-Moisil+Many-Valued+Logic+Algebra+of+Highly-Complex+Systems.++%5BJournal+(Paginated)%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F7751%2F