Gx: G(x) Gtrue bool Gfalse: bool Gn: int Gel: t1 G, xt1e2: t2 Glet x el in e2: t2 Gel bool Ge2 bool Gel and e2: bool Ge: int Geq0 e bool Gel bool Ge2: t Ge3: t Gif el then e2 else e3: t In the rule for let x = e1 in e2, what is the relationship between the types of e1 and e2? e1 and e2 must have the same type. e1 determines the type of x, and e2 can have any type. e1 determines the type of x, and the type of e2 depends on the context. e1 must be a boolean, and e2 must be an int. Gx: G(x) Gtrue bool Gfalse: bool Gn: int Gelt1 G,x: t1e2: t2 Glet x el in e2: t2 Gel bool Ge2 bool Gel and e2: bool Ge: int Gel bool Ge2t Ge3: t Geq0 e bool Gif el then e2 else e3: t Using the typing rules above, determine if the following expressions are well-typed:

Np Ms Office 365/Excel 2016 I Ntermed
1st Edition
ISBN:9781337508841
Author:Carey
Publisher:Carey
Chapter8: Working With Advanced Functions
Section8.2: Lookup Tables And The Iferror Function
Problem 1QC
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Gx: G(x) Gtrue bool
Gfalse: bool
Gn: int
Gel: t1 G, xt1e2: t2
Glet x el in e2: t2
Gel bool Ge2 bool
Gel and e2: bool
Ge: int
Geq0 e bool
Gel bool Ge2: t Ge3: t
Gif el then e2 else e3: t
In the rule for let x = e1 in e2, what is the relationship between the types of e1 and e2?
e1 and e2 must have the same type.
e1 determines the type of x, and e2 can have any type.
e1 determines the type of x, and the type of e2 depends on the context.
e1 must be a boolean, and e2 must be an int.
Transcribed Image Text:Gx: G(x) Gtrue bool Gfalse: bool Gn: int Gel: t1 G, xt1e2: t2 Glet x el in e2: t2 Gel bool Ge2 bool Gel and e2: bool Ge: int Geq0 e bool Gel bool Ge2: t Ge3: t Gif el then e2 else e3: t In the rule for let x = e1 in e2, what is the relationship between the types of e1 and e2? e1 and e2 must have the same type. e1 determines the type of x, and e2 can have any type. e1 determines the type of x, and the type of e2 depends on the context. e1 must be a boolean, and e2 must be an int.
Gx: G(x) Gtrue bool
Gfalse: bool
Gn: int
Gelt1 G,x: t1e2: t2
Glet x el in e2: t2
Gel bool Ge2 bool
Gel and e2: bool
Ge: int
Gel bool
Ge2t Ge3: t
Geq0 e bool
Gif el then e2 else e3: t
Using the typing rules above, determine if the following expressions are well-typed:
Transcribed Image Text:Gx: G(x) Gtrue bool Gfalse: bool Gn: int Gelt1 G,x: t1e2: t2 Glet x el in e2: t2 Gel bool Ge2 bool Gel and e2: bool Ge: int Gel bool Ge2t Ge3: t Geq0 e bool Gif el then e2 else e3: t Using the typing rules above, determine if the following expressions are well-typed:
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