By Keller R.

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2. ••Describe how sharing can be useful for storing matrices. 3. ••• Describe some practical uses for deferred binding. 4. ••• Devise a notation for representing an information structure with sharing and possible cycles. 5. ••• For a computer operating system of your choice, determine whether and how sharing of files is represented in the directory structure. For example, in UNIX there are two kinds of links, regular and symbolic, which are available. Describe how such links work from the user's viewpoint.

50 Exploring Abstractions: Information Structures Most real applications deal with information abstractions far more complex than just the natural numbers. It is important for the computer scientist to be familiar with typical abstractions and their attendant presentations and representations and to be able to spot instances of these abstractions as they arise in problems. This is one of the reasons that we have avoided focusing on particular common programming languages thus far; it is too easy to get lost in the representational issues of the language itself and loose sight of the information structural properties that are an essential component of our goal: to build well-engineered information processing systems.

Moreover, it is common for the target sets of two nodes to have a non-empty intersection. Finally there is no unique root. Thus all three of the requirements for a directed graph to be a tree are violated. Exercises 1. •• What are some ways of representing the following tree as a list: a b c g d e f 2. •• Draw the trees corresponding to the interpretation of the following list as (i) a labeled tree, (ii) an unlabeled tree, and (iii) a binary tree: [1, [2, 3, 4, 5], [6, [7, [8, 9] ] ] ] 3. ••• What lists have interpretations as unlabeled trees but not as labeled trees?