Editing Automata Theory (section)

== <span style="color: #FFFFFF;">Applying</span> ==
'''Modeling 'The Vending Machine' (A simple Finite State Automaton):'''
<syntaxhighlight lang="python">
class VendingMachine:
    def __init__(self):
        self.state = "IDLE"
        self.balance = 0

    def insert_coin(self, amount):
        self.balance += amount
        if self.balance >= 100:
            self.state = "READY"
            print("State: READY to dispense.")
        else:
            print(f"State: WAITING. Balance: {self.balance}")

    def push_button(self):
        if self.state == "READY":
            print("ACTION: DISPENSING SODA.")
            self.balance = 0
            self.state = "IDLE"
        else:
            print("ACTION: NOTHING. Insert more coins.")

# Run the Automaton
vm = VendingMachine()
vm.insert_coin(50)
vm.push_button()
vm.insert_coin(50)
vm.push_button()
</syntaxhighlight>

; Automata Landmarks
: '''The 'Turing-Church' Thesis''' → The hypothesis that "Everything we call 'Calculation' is just a Turing Machine." If this is true, "Human Thinking" might just be a very complex Automaton.
: '''Regular Expressions (Regex)''' → The tool used by every programmer to "Find patterns" in text. Regex is the practical application of "Finite Automata."
: '''Compilers''' → The software that "Translates" C++ or Python into machine code. It uses the "Chomsky Hierarchy" to "Parse" your code.
: '''Cellular Automata (Conway’s Game of Life)''' → A "Grid" of cells that follow "Simple rules" (e.g., 'If you have 3 neighbors, stay alive'). It proved that "Complex Life-like Patterns" can emerge from "Dead Logic."
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