of this work is to broaden the theory of persistent data structures and devise efficient implementations of data structures to be used in functional languages. Arrays are without any question the most frequently used data structure.

This thesis initiates a two-part series that explores data structures and algorithms. When choosing a data structure or algorithm, you sometimes discover an inverse relationship between memory usage and CPU time: the less memory a data structure uses, the more CPU time associated algorithms need to process the data structure’s data items ...

In this thesis we study the efficient representation of multidimensional grids, presenting new compact data structures to store and query grids in different application domains. We propose several static and dynamic data structures for the representation of binary grids and grids of integers, and study applications to the

Jun 4, 2021 · This dissertation defines the data-structure interface precisely, and goes some way toward reworking algorithms in terms of that interface. The second problem is providing an efficient, scalable implementation for the defined data structure.

organize the data into a data structure which occupies a small amount of space and yet responds to any user query in real-time. In this thesis the study of the GIQ problems was conducted from the point-of-view

We present pseudocode with detailed correctness proofs for concurrent data structures and algorithms in this thesis, validating their correctness, identifying linearization points and showing their lock-freedom.

May 19, 2010 · Abstract: For many algorithmic problems, traditional algorithms that optimise on the number of instructions executed prove expensive on I/Os. Novel and very different design techniques, when applied to these problems, can produce algorithms that are I/O efficient. This thesis adds to the growing chorus of such results.

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Feb 2, 2022 · Isabelle/HOL is a theorem prover for higher order logic. In a refinement based top-down development process, an algorithm is first phrased on an abstract level, that is suitable for proving the algorithm correct without coping with implementation details.

developing a complete interactive book for courses in data structures and algorithms. Though designed with the purpose of enhancing efficiency in student learning in mind, some of the chapters have proved quite challenging for the students. The chapter under scrutiny in this thesis has to do with algorithm analysis.