Скачать или смотреть DFA | Deterministic Finite Automata | Common Symbols Examples Part 1

In this video, we shift from theory to hands-on problem solving. This is Part 1 of our DFA Examples Series, where we solve real exam-style questions step by step. Each example is carefully explained with state diagrams, transition tables, and test strings so that you can apply DFA concepts confidently.

🔍 What You’ll Learn in This Lecture

1. Recap of DFA Basics (Quick)

DFA formal definition (Q, Σ, δ, q₀, F)

Transition function & state diagrams

2. Examples with Common Symbols

DFA for binary alphabet {0,1}

DFA for {a,b} alphabets

Understanding simple but tricky constraints

3. Step-by-Step Construction

Identifying the condition (prefix, suffix, or substring)

Defining states and dead states

Transition table + diagram explanation

Testing input strings (accept/reject analysis)

4. Problem-Solving Techniques

Breaking down DFA design in exams

Spotting common pitfalls (like missed transitions)

How to verify correctness of your DFA

🧑‍💻 Technical Insight (Detailed)

Most common symbol-based DFA problems appear in exams such as:

DFA accepting strings containing at least one occurrence of a symbol

DFA accepting strings that do not contain a symbol

DFA accepting strings with at least two occurrences of a symbol

DFA accepting strings starting/ending with a symbol

Each problem is formally modeled as a language over Σ = {0,1} or {a,b}, and the DFA is constructed to capture symbol occurrence constraints. This involves:

Creating states to represent “progress” (e.g., zero seen, one seen, two seen)

Adding transitions to detect or restrict occurrences

Defining final states based on acceptance conditions

By the end, you’ll be able to construct DFAs for symbol-based conditions quickly and systematically.

🖊 Example Problems Covered (Part 1)

DFA over {0,1} that accepts strings containing at least one 1

DFA over {0,1} that accepts strings ending with 0

DFA over {a,b} that accepts strings containing a

DFA over {a,b} that accepts strings that do not contain b

🕒 Timestamps

0:00 – Introduction & quick DFA recap


🔍 Keywords:

DFA common examples

DFA examples with symbols

DFA examples {0,1}

DFA examples {a,b}

DFA at least one occurrence

DFA ends with a symbol

DFA does not contain a symbol

DFA automata examples

DFA state diagram practice

DFA solved problems theory of computation