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1) Can a Deterministic PDA has two epsilon transition each reading different Stack symbol to perform a transition?

2) Can a transition be performed without reading Stack symbol at all. Like $a, λ/ λ$?
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1) Deterministic PDA cannot have epsilon.

2) NPDA can .
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DPDA can actually has epsilon transition. They query was referring to a specific configuration.
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If there is an epsilon transition from a state q, there must not be any alphabet transition from that state.One time only one symbol to be read... my opinion