UBM invited talk: Patrick O'Neill
Finite splicing systems, logically and algebraically
Monday, February 28, 2011 · 12 - 1 PM
Feb 28th UBM meeting at 12:00 invited talk:
Finite splicing systems, logically and algebraically
Patrick O'Neill
Towson University, Department of Mathematics
In the past fifteen years, many different models of DNA computation have been proposed, and universality results for many of these constructions have been immediate. Not all models, however, are so easily characterized. In particular we survey "finite splicing systems", models which compute through the action of restriction and ligation enzymes on initial strands of DNA. Although finite splicing systems are among the oldest and most biologically relevant models of DNA computation, they have not been shown to conform to any known computational class. After comparing their expressive power to that of alternative models, we review what is currently known about finite splicing systems by presenting partial characterizations of splicing languages in terms of several canonical sub-regular classes, and describing algebraic and model-theoretic lenses for viewing the problem.
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