Steve Find said on August 09, 2002 6:24 PM:
>Anyone happen to know where pushdown automata fit in this list? Can
>they handle context-sensitive, just context-free, or some other
>subset?

Mark Reed said on August 09, 2002 7:60 PM:
>To recognize a context-sensitive language I think you need a Turing
>machine.  I'm not aware of anything intermediate in power between
>a PDA and a TM.

A regular expression is equivalent to an FSM 
  (Finite State Machine).
A context-free grammar is equivalent to a PDA 
  (Push-down Automata -- i.e., an FSM with a stack)
A context-sensitive grammars is equivalent to an LBA 
  (Linear Bounded Automata -- i.e., a Turing machine restricted 
  to a given finite length of tape)
An unrestricted grammar is equivalent to a TM 
  (Turing Machine).

[info from _Introduction_to_Automata_Theory,_Languages,_and_Computation_,
John E. Hopcroft and Jeffrey D. Ullman]

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