10,085 research outputs found
Cascade synthesis of finite-state machines
One can construct any finite-state machine as a cascade interconnection of machines whose inputs either permute the states or reset them all to one state. Each permutation group needed in the construction is a homomorphic image of a group generated by the action of a set of input sequences on a state subset of the original machine. Proofs of these facts will be given and their application to the Krohn-Rhodes theory described
SgpDec : Cascade (de)compositions of finite transformation semigroups and permutation groups
We describe how the SgpDec computer algebra package can be used for composing and decomposing permutation groups and transformation semigroups hierarchically by directly constructing substructures of wreath products, the so called cascade products.Final Accepted Versio
Protein-DNA computation by stochastic assembly cascade
The assembly of RecA on single-stranded DNA is measured and interpreted as a
stochastic finite-state machine that is able to discriminate fine differences
between sequences, a basic computational operation. RecA filaments efficiently
scan DNA sequence through a cascade of random nucleation and disassembly events
that is mechanistically similar to the dynamic instability of microtubules.
This iterative cascade is a multistage kinetic proofreading process that
amplifies minute differences, even a single base change. Our measurements
suggest that this stochastic Turing-like machine can compute certain integral
transforms.Comment: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC129313/
http://www.pnas.org/content/99/18/11589.abstrac
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