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In the standard simulation of a grammar by a PDA, what are the symbols allowed in the stack alphabet1 pointInput symbolsGrammar variables$Grammar rules

Question

In the standard simulation of a grammar by a PDA, what are the symbols allowed in the stack alphabet1 pointInput symbolsGrammar variables$Grammar rules

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Solution

In the standard simulation of a grammar by a Pushdown Automaton (PDA), the symbols allowed in the stack alphabet are:

  1. Input symbols: These are the symbols that the PDA reads from the input string. They are pushed onto the stack and later popped off.

  2. Grammar variables: These are the non-terminal symbols in the grammar. They are used to generate strings in the language defined by the grammar. In the PDA, they are pushed onto the stack and later replaced by the right-hand side of a production rule when that rule is applied.

  3. $: This is a special symbol used to indicate the bottom of the stack. It is pushed onto the stack at the beginning of the computation and signals the PDA when it has completely processed the input string.

  4. Grammar rules: These are not typically considered part of the stack alphabet in a PDA. Instead, they define the transitions between states in the PDA. When a rule is applied, the PDA pops the left-hand side of the rule from the stack and pushes the right-hand side onto the stack.

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