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29 lines
1.2 KiB
Text
29 lines
1.2 KiB
Text
__author__ = "7987847, Werner, 7347119, Fajst, 7735965, Melikidze"
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================================================================================================================
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a) The context-free grammar generates words that consist of variables (V), which can be any lowercase letter from a to z,
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and operators (O), which can be +, -, *, or /. These variables and operators are combined using parentheses (T).
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Specifically, the grammar generates words by either replacing the start symbol T with a variable (V),
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or by replacing T with an opening parenthesis followed by a combination of a T, an operator (O), and another T, followed by a closing parenthesis.
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b) The word "(a + ((x - z) / y))" can be generated by the context-free grammar. One possible order of derivation rules to create this word is as follows:
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T -> (TOT)
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T -> V
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O -> +
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T -> (TOT)
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T -> (TOT)
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T -> V
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O -> -
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T -> V
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O -> /
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T -> V
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The word "((p) + (o))" can also be generated by the context-free grammar. One possible order of derivation rules to create this word is as follows:
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T -> (TOT)
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T -> V
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O -> +
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T -> (TOT)
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T -> V
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