Question: We can define a class of 2-stack PDAs (or 2PDA for short). which have 2 stacks instead of one. On any transition, 2PDAs can push

 We can define a class of 2-stack PDAs (or "2PDA" for

short). which have 2 stacks instead of one. On any transition, 2PDAs

can push and or pop either or both stacks. (This is analogous

We can define a class of 2-stack PDAs (or "2PDA" for short). which have 2 stacks instead of one. On any transition, 2PDAs can push and or pop either or both stacks. (This is analogous to how multitape TMs can read write multiple tapes on each transaction) Just as for regular PDAs, both stacks are initially empty. (a) Give a formal definition of 2PDA (including of the transitions) (b) What would its configuration consist of? What would be an initial configuration? A final configuration? Given a current configuration and a transition, how do we compute what the next configuration will be? Hint: look at the definitions of a 2-tape vs. a 1-tape TM for inspiration. We can define a class of 2-stack PDAs (or "2PDA" for short). which have 2 stacks instead of one. On any transition, 2PDAs can push and or pop either or both stacks. (This is analogous to how multitape TMs can read write multiple tapes on each transaction) Just as for regular PDAs, both stacks are initially empty. (a) Give a formal definition of 2PDA (including of the transitions) (b) What would its configuration consist of? What would be an initial configuration? A final configuration? Given a current configuration and a transition, how do we compute what the next configuration will be? Hint: look at the definitions of a 2-tape vs. a 1-tape TM for inspiration

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