Simplified Turing Machine Design for Recognizing Odd Palindromes 🔍
Discover how to design a Turing Machine that efficiently recognizes the language L = wAwʳ, focusing on odd-length palindromes. Perfect for students and enthusiasts exploring automata theory!

Sagar Choudhary
327 views • May 14, 2025

About this video
🎓 Welcome to the "Theory of Computation & Automata" Series!
In this video, we dive into the design of a Turing Machine that accepts the language L = wAwʳ, where:
w is any string over a given alphabet,
A is a fixed middle symbol,
and wʳ is the reverse of w.
💡 This represents all odd-length palindromes, making it an excellent example to understand how Turing Machines handle symmetry and central markers.
📌 Key Concepts Covered:
Structure and logic of L = wAwʳ
Step-by-step construction of the Turing Machine
Tape operations, symbol marking, and head movement
Final accepting state configuration
🧠 Learn how Turing Machines can recognize patterns that push beyond context-free limitations.
This video is essential for GATE/UGC-NET and university students tackling complex automata problems.
👍 Don’t forget to Like, 💬 Comment with your doubts, and 🔔 Subscribe for more videos in the series!
💡 In this Lecture Series:
Episode 1 - Introduction of Automata: - https://youtu.be/X7Dcc6lo-0U
Episode 2 - Language | Finite & Infinite Languages: - https://youtu.be/avQl_m-CZbE
Episode 3 - Kleene Star and Kleene Plus: -https://youtu.be/O_XClg5RnRw
Episode 4 - Deterministic Finite Automata (DFA): - https://youtu.be/9J1XGewV0Io
Episode 5 - Important Questions of DFA, Dead and Trap State: - https://youtu.be/BRFBL5-lSyk
Episode 6 - Non-Deterministic Finite Automata (NFA): - https://youtu.be/h-AK5NHKH9E
Episode 7 - NFA to DFA Conversion: - https://youtu.be/4b5mGBNKgis
Episode 8 - DFA Minimization using Myphill-Nerode Theorem: - https://youtu.be/GHdTn7XaQVA
Episode 9 - DFA Minimization using Equivalence Theorem: - https://youtu.be/-1Qh-swLJFc
Episode 10 - Mealy Machine: - https://youtu.be/MGj_M8UA1Pw
Episode 11 - Examples of Mealy Machine: - https://youtu.be/YI16G1dOX-4
Episode 12 - Moore Machine: - https://youtu.be/yuFFWbQe-LY
Episode 13 - Moore Machine to Mealy Machine Conversion: - https://youtu.be/CN4ZlMXJctc
Episode 14 - Mealy Machine to Moore Machine Conversion: - https://youtu.be/0a-Tu5okZ2I
Episode 15 - Gammar: - https://youtu.be/wqlkNln3g4E
Episode 16 - Classification of Grammar: - https://youtu.be/tze69avNRQU
Episode 17 -Regular Language and Regular Expression: -
Episode 18 - Arden's Theorem for Finite Automata to Regular Language: - https://youtu.be/g4rNR_o4p4Y
Episode 19 - State Elimination Method for Finite Automata to Regular Language: - https://youtu.be/m_nuUlJxYf4
Episode 20 - Regular Expression to Finite Automata: - https://youtu.be/z9U9muuq7p4
Episode 21 - Pumping Lemma for Regular Languages: - https://youtu.be/rRFhAV7dEJU
Episode 22 - Closure Properties of Regular Languages: - https://youtu.be/Q6MXI2dUorI
Episode 23 - Context Free Grammar (CFG) & it's Derivation Tree: - https://youtu.be/v96Ci0ebC4k
Episode 24 - Leftmost & Rightmost Derivations Tree: - https://youtu.be/lAFwkaRhSBQ
Episode 25 - CFG Simplification : - https://youtu.be/ZzCqPab5Log
Episode 26 - Chomsky Normal Form (CNF) Explained: - https://youtu.be/3OqdH7j9ADY
Episode 27 - Greibach Normal Form (GNF): - https://youtu.be/p6H_y8D5mPI
Episode 28 - Pushdown Automata (PDA): - https://youtu.be/hto68_jYGxc
Episode 29 - PDA to CFG Conversion: - https://youtu.be/zrCctAOL0p4
Episode 30 - Turing Machine | TM for L = {aⁿbⁿ}: - https://youtu.be/zUYaNYxQuKY
Episode 31 - Turing Machine for L = {aⁿbⁿcⁿ}: - https://youtu.be/9pyt16KZKyE
Episode 32 - Turing Machine for L = wwʳ | Even Palindrome: - https://youtu.be/480ghRIfi9I
Episode 33 - Turing Machine for L = wAwʳ | Odd Palindrome : - https://youtu.be/PF5pqo060wY
Episode 34 - Turing Machine for Unary Addition: - https://youtu.be/4IM_19vVxwA
Episode 35 - Turing Machine for Unary Multiplication: - https://youtu.be/3CwYC6rz8AU
💡 Other Playlist:
Theory of Computation and Automata: - https://www.youtube.com/playlist?list=PLfvuiiJ4Iz1HVeTV7rFCNsqqIgTvQ2MSy
Design and Analysis of Algorithms: - https://www.youtube.com/playlist?list=PLfvuiiJ4Iz1H8uVaTv0LEGKXksZUBGIbO
Web Development: - https://www.youtube.com/playlist?list=PLfvuiiJ4Iz1HnmPqyMboi558YQKgArc6d
💡 Who Should Watch?
Students preparing for GATE, NET, or other competitive exams.
Programmers are gearing up for coding interviews.
Anyone looking to strengthen their understanding of the Theory of Computation & Automata.
💻 Perfect For:
Algorithm enthusiasts.
Competitive programmers.
Students preparing for exams or interviews.
📢 Don’t forget to Like, Share, and Subscribe for more Theory of Computation & Automata.
#automata #TheoryOfComputation #FiniteLanguages #InfiniteLanguages
#theoryofcomputation #Theoryofcomputationandautomata #TOC #KleeneStar #KleenePlus #TheoryOfComputation #automata #automatatheory
In this video, we dive into the design of a Turing Machine that accepts the language L = wAwʳ, where:
w is any string over a given alphabet,
A is a fixed middle symbol,
and wʳ is the reverse of w.
💡 This represents all odd-length palindromes, making it an excellent example to understand how Turing Machines handle symmetry and central markers.
📌 Key Concepts Covered:
Structure and logic of L = wAwʳ
Step-by-step construction of the Turing Machine
Tape operations, symbol marking, and head movement
Final accepting state configuration
🧠 Learn how Turing Machines can recognize patterns that push beyond context-free limitations.
This video is essential for GATE/UGC-NET and university students tackling complex automata problems.
👍 Don’t forget to Like, 💬 Comment with your doubts, and 🔔 Subscribe for more videos in the series!
💡 In this Lecture Series:
Episode 1 - Introduction of Automata: - https://youtu.be/X7Dcc6lo-0U
Episode 2 - Language | Finite & Infinite Languages: - https://youtu.be/avQl_m-CZbE
Episode 3 - Kleene Star and Kleene Plus: -https://youtu.be/O_XClg5RnRw
Episode 4 - Deterministic Finite Automata (DFA): - https://youtu.be/9J1XGewV0Io
Episode 5 - Important Questions of DFA, Dead and Trap State: - https://youtu.be/BRFBL5-lSyk
Episode 6 - Non-Deterministic Finite Automata (NFA): - https://youtu.be/h-AK5NHKH9E
Episode 7 - NFA to DFA Conversion: - https://youtu.be/4b5mGBNKgis
Episode 8 - DFA Minimization using Myphill-Nerode Theorem: - https://youtu.be/GHdTn7XaQVA
Episode 9 - DFA Minimization using Equivalence Theorem: - https://youtu.be/-1Qh-swLJFc
Episode 10 - Mealy Machine: - https://youtu.be/MGj_M8UA1Pw
Episode 11 - Examples of Mealy Machine: - https://youtu.be/YI16G1dOX-4
Episode 12 - Moore Machine: - https://youtu.be/yuFFWbQe-LY
Episode 13 - Moore Machine to Mealy Machine Conversion: - https://youtu.be/CN4ZlMXJctc
Episode 14 - Mealy Machine to Moore Machine Conversion: - https://youtu.be/0a-Tu5okZ2I
Episode 15 - Gammar: - https://youtu.be/wqlkNln3g4E
Episode 16 - Classification of Grammar: - https://youtu.be/tze69avNRQU
Episode 17 -Regular Language and Regular Expression: -
Episode 18 - Arden's Theorem for Finite Automata to Regular Language: - https://youtu.be/g4rNR_o4p4Y
Episode 19 - State Elimination Method for Finite Automata to Regular Language: - https://youtu.be/m_nuUlJxYf4
Episode 20 - Regular Expression to Finite Automata: - https://youtu.be/z9U9muuq7p4
Episode 21 - Pumping Lemma for Regular Languages: - https://youtu.be/rRFhAV7dEJU
Episode 22 - Closure Properties of Regular Languages: - https://youtu.be/Q6MXI2dUorI
Episode 23 - Context Free Grammar (CFG) & it's Derivation Tree: - https://youtu.be/v96Ci0ebC4k
Episode 24 - Leftmost & Rightmost Derivations Tree: - https://youtu.be/lAFwkaRhSBQ
Episode 25 - CFG Simplification : - https://youtu.be/ZzCqPab5Log
Episode 26 - Chomsky Normal Form (CNF) Explained: - https://youtu.be/3OqdH7j9ADY
Episode 27 - Greibach Normal Form (GNF): - https://youtu.be/p6H_y8D5mPI
Episode 28 - Pushdown Automata (PDA): - https://youtu.be/hto68_jYGxc
Episode 29 - PDA to CFG Conversion: - https://youtu.be/zrCctAOL0p4
Episode 30 - Turing Machine | TM for L = {aⁿbⁿ}: - https://youtu.be/zUYaNYxQuKY
Episode 31 - Turing Machine for L = {aⁿbⁿcⁿ}: - https://youtu.be/9pyt16KZKyE
Episode 32 - Turing Machine for L = wwʳ | Even Palindrome: - https://youtu.be/480ghRIfi9I
Episode 33 - Turing Machine for L = wAwʳ | Odd Palindrome : - https://youtu.be/PF5pqo060wY
Episode 34 - Turing Machine for Unary Addition: - https://youtu.be/4IM_19vVxwA
Episode 35 - Turing Machine for Unary Multiplication: - https://youtu.be/3CwYC6rz8AU
💡 Other Playlist:
Theory of Computation and Automata: - https://www.youtube.com/playlist?list=PLfvuiiJ4Iz1HVeTV7rFCNsqqIgTvQ2MSy
Design and Analysis of Algorithms: - https://www.youtube.com/playlist?list=PLfvuiiJ4Iz1H8uVaTv0LEGKXksZUBGIbO
Web Development: - https://www.youtube.com/playlist?list=PLfvuiiJ4Iz1HnmPqyMboi558YQKgArc6d
💡 Who Should Watch?
Students preparing for GATE, NET, or other competitive exams.
Programmers are gearing up for coding interviews.
Anyone looking to strengthen their understanding of the Theory of Computation & Automata.
💻 Perfect For:
Algorithm enthusiasts.
Competitive programmers.
Students preparing for exams or interviews.
📢 Don’t forget to Like, Share, and Subscribe for more Theory of Computation & Automata.
#automata #TheoryOfComputation #FiniteLanguages #InfiniteLanguages
#theoryofcomputation #Theoryofcomputationandautomata #TOC #KleeneStar #KleenePlus #TheoryOfComputation #automata #automatatheory
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Video Information
Views
327
Likes
19
Duration
12:47
Published
May 14, 2025