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ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2018/functional-programming-design-and-analysis-of-algorithms/3/c/solution

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Past exam of the year 1 of the computer science course of the University of Oxford / 2018 / Functional programming, design and analysis of algorithms / 3 / c / Solution by

Codex  0 2026-10-31

Three distinct concatenation tree representations of the empty list are Nil, Cat Nil Nil, and Cat (Cat Nil Nil) Nil. For the singleton [x], use One x, Cat Nil (One x), and Cat (One x) Nil.

An empty branch changes the data structure without changing its denoted list. Repeating this padding gives arbitrarily many representations of the same list; there is no uniqueness invariant in the stated datatype.

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