Whats the language for this PDA ( Pushdown Automata) This image depicts a Pushdown Automaton (PDA) diagram with four states: $ q1, q2, q3, $ and $ q4 $. Here is a detailed explanation:- **States**: - $ q1 $: The initial state, marked with an incoming arrow. - $ q2 $: An intermediate state with transitions looping back to itself. - $ q3 $: Another intermediate state with a self-loop. - $ q4 $: The accepting state, indicated by a double circle.- **Transitions**: - From $ q1 $ to $ q2 $: - Transition on $(\epsilon, \epsilon \rightarrow \$)$: The automaton reads an epsilon input (no input) with an epsilon (empty) stack and pushes a dollar sign (\$) onto the stack. - From $ q2 $ to $ q2 $ (self-loop): - Transition on $(0, \epsilon \rightarrow 0)$: Reads input '0' with an empty stack, pushing '0' onto the stack. - From $ q2 $ to $ q3 $: - Transition on $(1, 0 \rightarrow \epsilon)$: Reads input '1' with '0' on top of the stack, popping '0' from the stack. - From $ q3 $ to $ q3 $ (self-loop): - Transition on $(1, 0 \rightarrow \epsilon)$: Reads input '1' with '0' on the stack, and pops '0' off the stack. - From $ q3 $ to $ q4 $: - Transition on $(\epsilon, \$ \rightarrow \epsilon)$: Reads no input and uses the dollar sign (\$) at the top of the stack, popping it from the stack.This diagram is used to accept a specific language defined by its transitions, typically demonstrating a balanced number of certain characters, like zeros and ones, with the help of the stack operations in a pushdown automaton.

In a PDA, when an arrow has a label a,b → c it means that that when the machine is reading ana from…

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Database System Concepts

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ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

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Whats the language for this PDA ( Pushdown Automata)

This image depicts a Pushdown Automaton (PDA) diagram with four states: $ q1, q2, q3, $ and $ q4 $. Here is a detailed explanation:

- **States**:
- $ q1 $: The initial state, marked with an incoming arrow.
- $ q2 $: An intermediate state with transitions looping back to itself.
- $ q3 $: Another intermediate state with a self-loop.
- $ q4 $: The accepting state, indicated by a double circle.

- **Transitions**:
- From $ q1 $ to $ q2 $:
- Transition on $(\epsilon, \epsilon \rightarrow \$)$: The automaton reads an epsilon input (no input) with an epsilon (empty) stack and pushes a dollar sign (\$) onto the stack.

- From $ q2 $ to $ q2 $ (self-loop):
- Transition on $(0, \epsilon \rightarrow 0)$: Reads input '0' with an empty stack, pushing '0' onto the stack.

- From $ q2 $ to $ q3 $:
- Transition on $(1, 0 \rightarrow \epsilon)$: Reads input '1' with '0' on top of the stack, popping '0' from the stack.

- From $ q3 $ to $ q3 $ (self-loop):
- Transition on $(1, 0 \rightarrow \epsilon)$: Reads input '1' with '0' on the stack, and pops '0' off the stack.

- From $ q3 $ to $ q4 $:
- Transition on $(\epsilon, \$ \rightarrow \epsilon)$: Reads no input and uses the dollar sign (\$) at the top of the stack, popping it from the stack.

This diagram is used to accept a specific language defined by its transitions, typically demonstrating a balanced number of certain characters, like zeros and ones, with the help of the stack operations in a pushdown automaton.

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In a PDA, when an arrow has a label $a, b \to c$ it means that that when the machine is reading an
a from the input, it may replace the symbol b on the top of the stack with a c.
Any of a, b, and c may be ε. If a is ε, the machine may make this transition
without reading any symbol from the input. If b is ε, the machine may make
this transition without reading and popping any symbol from the stack. If c
is ε, the machine does not write any symbol on the stack when going along this
transition.

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