Question

Consider expressions built up from natural numbers using a subtraction operator that is assumed to associate to the left. a. Translate this description directly into a grammar. b. Implement this grammar as a parser expr :: Parser Int. c. What is the problem with this parser? d. Show how it can be fixed. Hint: rewrite the parser using the repetition primitive many and the library function foldl.

   Consider expressions built up from natural numbers using a subtraction operator that is assumed to associate to the left.
a. Translate this description directly into a grammar.
b. Implement this grammar as a parser expr :: Parser Int.
c. What is the problem with this parser?
d. Show how it can be fixed. Hint: rewrite the parser using the repetition primitive many and the library function foldl.
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Programming in Haskell
Programming in Haskell
Graham Hutton 2nd Edition
Chapter 13, Problem 8 ↓

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The grammar for expressions built up from natural numbers using a subtraction operator that associates to the left can be written as: expr -> term | expr "-" term term -> factor | term "-" factor factor -> number | "(" expr ")" number -> "0" | "1" | "2" | ... b.  Show more…

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Consider expressions built up from natural numbers using a subtraction operator that is assumed to associate to the left. a. Translate this description directly into a grammar. b. Implement this grammar as a parser expr :: Parser Int. c. What is the problem with this parser? d. Show how it can be fixed. Hint: rewrite the parser using the repetition primitive many and the library function foldl.
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