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Coherent minimisation: aggressive optimisation for symbolic finite state transducers

Al-Zobaidi, Zaid (2014)
Ph.D. thesis, University of Birmingham.

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Automata minimisation is considered as one of the key computational resources that drive the cost of computation. Most of the conventional minimisation techniques are based on the notion of bisimulation to determine equivalent states which can be identified.

Although minimisation of automata has been an established topic of research, the optimisation of automata works in constrained environments is a novel idea which we will examine in this dissertation, along with a motivating, non-trivial application to efficient tamper-proof hardware compilation.

This thesis introduces a new notion of equivalence, coherent equivalence, between states of a transducer. It is weaker than the usual notions of bisimulation, so it leads to more states being identified as equivalent. This new equivalence relation can be utilised to aggressively optimise transducers by reducing the number of states, a technique which we call coherent minimisation. We note that the coherent minimisation always outperforms the conventional minimisation algorithms. The main result of this thesis is that the coherent minimisation is sound and compositional.

In order to support more realistic applications to hardware synthesis, we also introduce a refined model of transducers, which we call symbolic finite states transducers that can model systems which involve very large or infinite data-types.

Type of Work:Ph.D. thesis.
Supervisor(s):Ghica, Dan
School/Faculty:Colleges (2008 onwards) > College of Engineering & Physical Sciences
Department:School of Computer Science
Subjects:QA75 Electronic computers. Computer science
Institution:University of Birmingham
ID Code:5012
This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder.
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