Base case: Every variable from the set { a, b, c, d, e, f} is in S. Recursive rules: If x € S and y € S, then: 1.x+YES 2.X-YES 3. (x) (y) ES

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S is a set of arithmetic expressions recursively defined as follows.
Base case: Every variable from the set { a, b, c, d, e, f } is in S.
Recursive rules: If x € S and y € S, then:
1.x+YES
2.X-YES
3. (x) (y) ES
Indicate which expressions are in S.
a+b+c-d
(a) + (b-c)
(a + b -c) (d-e)
a-(b + c)(b + d)
Transcribed Image Text:S is a set of arithmetic expressions recursively defined as follows. Base case: Every variable from the set { a, b, c, d, e, f } is in S. Recursive rules: If x € S and y € S, then: 1.x+YES 2.X-YES 3. (x) (y) ES Indicate which expressions are in S. a+b+c-d (a) + (b-c) (a + b -c) (d-e) a-(b + c)(b + d)
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