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: 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 Gel bool Ge2t Ge3: t Geq0 e bool Gif el then e2 else e3: t let x = 5 in eq0 x and false Which of the following types is the final result of this expression? int ○ bool false The expression is not well-typed.

Programming Logic & Design Comprehensive
9th Edition
ISBN:9781337669405
Author:FARRELL
Publisher:FARRELL
Chapter2: Elements Of High-quality Programs
Section: Chapter Questions
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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:
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
Gel bool
Ge2t Ge3: t
Geq0 e bool
Gif el then e2 else e3: t
let x = 5 in eq0 x and false
Which of the following types is the final result of this expression?
int
○ bool
false
The expression is not well-typed.
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 Gel bool Ge2t Ge3: t Geq0 e bool Gif el then e2 else e3: t let x = 5 in eq0 x and false Which of the following types is the final result of this expression? int ○ bool false The expression is not well-typed.
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