For this task, you have access to sub-specifications. Please feel free to use them.
Say the user wishes to synthesize a function f which accepts an integer as input and produces an integer as output. They specify the function f as follows :
In response, the synthesizer produces the following implementation :
Please hover over different parts of the implementation to see the corresponding sub-specifications.
f(x)= if x≥0 ∀x. false then x ∀x. false else -1 ∀x. x<0 ⇒ h(x)≥0
There is a bug in the implementation. Where is the bug?
if x≥0 then x else -1
Can you fix the bug?
Consider the following sub-expression in the implementation : f(x)= if x≥0 then x else -1 Observe that the sub-specification is '∀x. false' for the sub-expression. Can you explain why?