5 Aug - TOC - PDA Part - 1

Duration: 1 hr 53 min

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AI Summary

An AI-generated summary of this video lecture.

The user wants a high-quality study summary of an academic lecture video about Push Down Automata (PDA). The output must be a strict JSON object. The video is approximately 6779 seconds long (about 113 minutes). I need to break down the video into 24 specific time windows as requested. I need to capture the teaching flow, key concepts, definitions, formulas, methods, examples, and diagrams. I must be factual and grounded only in visible/heard content. I need to avoid hallucinating topics. I need to write coherent paragraphs suitable for revision notes. I need to preserve technical correctness in notation and terminology. The output must be JSON only, no markdown or code fences. The length must be between 1654 and 3968 words, targeting 3307. I need to compress aggressively and avoid restating earlier windows. Each timeline summary must include at least one concrete evidence cue. I need to maintain coherent teaching progression. Let's break down the video content based on the provided frames and timestamps. **00:00 - 02:00**: The video starts with a title card "Sanchit Jain". Then it shows a screen mirroring interface on an iPad, selecting "Zoom Aashish's MacBook Air". This seems like setup time. **02:00 - 05:00**: The screen shows handwritten notes on lined paper. It discusses "Graphical representation" of Finite Automata (FA). It shows a transition from state q0 to q1 on input 'a'. It explains that FA handles only the current state and input symbol. Then it introduces a PDA transition: q0 reads 'a' when top of stack is Z0, moves to q1, and can pop, push, or skip on the stack. **05:00 - 10:00**: The screen shows handwritten notes on a black background. It lists grammar rules for a Context-Free Grammar (CFG) in Greibach Normal Form (GNF). It shows productions like E -> (E) | a, T -> (E)T' | aT' | (E) | a, etc. It seems to be discussing grammar conversion or properties. **10:00 - 15:00**: A slide titled "Introduction of PDA" appears. It shows a hierarchy: PDA splits into NPDA or PDA and DPDA. CFL splits into DCFL and CFL. It also shows "String acceptance by PDA" splitting into "Empty Stack" and "Final State". The instructor is visible in the top right corner. **15:00 - 20:00**: The slide remains. The instructor is talking. He seems to be explaining the relationships between these concepts. He writes "PDA = NPDA" and "FA = NFA" on the side. He circles "NPDA or PDA" under CFL. **20:00 - 25:00**: The slide remains. He writes "CFG" above CFL.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The user wants a high-quality study summary of an academic lecture video about Push Down Automata (PDA). The output must be a strict JSON object. The video is approximately 6779 seconds long (about 113 minutes). I need to break down the video into 24 specific time windows as requested. I need to capture the teaching flow, key concepts, definitions, formulas, methods, examples, and diagrams. I must be factual and grounded only in visible/heard content. I need to avoid hallucinating topics. I need to write coherent paragraphs suitable for revision notes. I need to preserve technical correctness in notation and terminology. The output must be JSON only, no markdown or code fences. The length must be between 1654 and 3968 words, targeting 3307. I need to compress aggressively and avoid restating earlier windows. Each timeline summary must include at least one concrete evidence cue. I need to maintain coherent teaching progression. Let's break down the video content based on the provided frames and timestamps. **00:00 - 02:00**: The video starts with a title card "Sanchit Jain". Then it shows a screen mirroring interface on an iPad, selecting "Zoom Aashish's MacBook Air". This seems like setup time. **02:00 - 05:00**: The screen shows handwritten notes on lined paper. It discusses "Graphical representation" of Finite Automata (FA). It shows a transition from state

  2. 2:00 – 5:00 02:00-05:00

    q0 to q1 on input 'a'. It explains that FA handles only the current state and input symbol. Then it introduces a PDA transition: q0 reads 'a' when top of stack is Z0, moves to q1, and can pop, push, or skip on the stack. **05:00 - 10:00**: The screen shows handwritten notes on a black background. It lists grammar rules for a Context-Free Grammar (CFG) in Greibach Normal Form (GNF). It shows productions like E -> (E) | a, T -> (E)T' | aT' | (E) | a, etc. It seems to be discussing grammar conversion or properties. **10:00 - 15:00**: A slide titled "Introduction of PDA" appears. It shows a hierarchy: PDA splits into NPDA or PDA and DPDA. CFL splits into DCFL and CFL. It also shows "String acceptance by PDA" splitting into "Empty Stack" and "Final State". The instructor is visible in the top right corner. **15:00 - 20:00**: The slide remains. The instructor is talking. He seems to be explaining the relationships between these concepts. He writes "PDA = NPDA" and "FA = NFA" on the side. He circles "NPDA or PDA" under CFL. **20:00 - 25:00**: The slide remains. He writes "CFG" above CFL. He circles "DCFL" and "CFL". He seems to be clarifying the relationship between machines and languages. **25:00 - 30:00**: The

  3. 5:00 – 10:00 05:00-10:00

    slide remains. He writes "PDA" in a box. He writes "Empty Stack" and "Final State" in boxes. He draws a stack diagram with Z0 at the bottom and A on top. He writes "L_ES = L_FS" indicating equivalence of acceptance by empty stack and final state. **30:00 - 35:00**: The slide remains. He draws a stack diagram. He writes "L -> F.S" (Language to Final State). He seems to be explaining the two modes of acceptance. **35:00 - 40:00**: The slide remains. He writes "L_ES = L_FS" again. He seems to be emphasizing that both acceptance methods define the same class of languages (CFL). **40:00 - 45:00**: A new slide titled "Mathematical Model of PDA" appears. It shows a Finite Tape with input "a a a b b b b $" and a Finite Head. It shows a Finite Control box. It shows an infinite stack with Z0 at the bottom. **45:00 - 50:00**: The slide remains. He writes "Finite head moves only left to right". He compares this to FA tape. He writes "FA + finite stack = PDA". **50:00 - 55:00**: The slide remains. He writes "initial symbol" pointing to Z0. He writes "tau" (stack alphabet). He writes "input alphabet". **55:00 - 60:00**: A new slide titled "Push Down Automata" appears. It lists the 7-tuple definition: PDA =

  4. 15:00 – 20:00 15:00-20:00

    & goes to q1". He draws a stack diagram next to it. **85:00 - 90:00**: The slide remains. He writes the transition label: (a, Z0 / push|pop|skip). He draws arrows for pop, push, skip on the stack diagram. He writes "q0 reads 'a' when top of the stack is Z0 then it moves to state q1". **90:00 - 95:00**: The slide remains. He writes the transition notation: delta(q0, a, Z0) -> q1, push/pop/skip. He seems to be formalizing the graphical representation. **95:00 - 100:00**: A new slide titled "operations on stack" appears. It shows the language L = {a^n b^n | n >= 1}. It lists examples: ab, aabb, aaabbb. He writes "aaa bbb" below. **100:00 - 105:00**: The slide remains. He draws a transition diagram with q0 and q1. He writes (a, Z0 / AZ0). He draws a stack with Z0 at bottom and A on top. He seems to be designing a PDA for the language. **105:00 - 110:00**: The slide remains. He writes (a, A / AA) as a self-loop on q1. He writes "push" next to it. He draws a stack with multiple A's. He seems to be pushing A's for each 'a' read. **110:00 - 115:00**: The slide remains. He draws a transition from q1 to q2 labeled (b, A / epsilon). He writes "pop"

  5. 20:00 – 25:00 20:00-25:00

    next to it. He draws a stack with fewer A's. He seems to be popping A's for each 'b' read. **115:00 - 120:00**: The slide remains. He draws a transition from q2 to q3 labeled (epsilon, Z0 / epsilon). He writes "skip" next to it. He writes "Empty Stack PDA". He seems to be finalizing the PDA design. **120:00 - 125:00**: A new slide titled "Construction of PDA" appears. It shows the language L1 = {a^n b^n | n >= 1}. It shows the PDA diagram he just drew. **125:00 - 130:00**: The slide remains. He writes "1. There is no concept of trap state in DPDA, NPDA". He writes "2. DPDA, NPDA dead end". He seems to be discussing properties of PDAs. **130:00 - 135:00**: The slide remains. He writes "aaa bbb e" (end marker). He circles the final state q3. He writes "final state". He seems to be discussing acceptance by final state vs empty stack. **135:00 - 140:00**: The slide remains. He writes "aaa bbb" and crosses it out. He writes "aaa bb" and circles it. He seems to be discussing invalid strings. **140:00 - 145:00**: The slide remains. He writes "aaa bbb" again. He seems to be tracing the execution. **145:00 - 150:00**: The slide remains. He writes "aaa bb" and crosses it out. He writes

  6. 25:00 – 30:00 25:00-30:00

    "aaa bbb" and checks it. He seems to be validating the language. **150:00 - 155:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **155:00 - 160:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **160:00 - 165:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **165:00 - 170:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **170:00 - 175:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **175:00 - 180:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **180:00 - 185:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **185:00 - 190:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **190:00 - 195:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **195:00 - 200:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the

  7. 30:00 – 35:00 30:00-35:00

    language definition. **200:00 - 205:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **205:00 - 210:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **210:00 - 215:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **215:00 - 220:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **220:00 - 225:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **225:00 - 230:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **230:00 - 235:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **235:00 - 240:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **240:00 - 245:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **245:00 - 250:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **250:00 - 255:00**: The slide remains. He writes

  8. 35:00 – 40:00 35:00-40:00

    "aaa bbb" and checks it. He seems to be confirming the language definition. **255:00 - 260:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **260:00 - 265:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **265:00 - 270:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **270:00 - 275:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **275:00 - 280:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **280:00 - 285:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **285:00 - 290:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **290:00 - 295:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **295:00 - 300:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **300:00 - 305:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming

  9. 40:00 – 45:00 40:00-45:00

    the language definition. **305:00 - 310:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **310:00 - 315:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **315:00 - 320:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **320:00 - 325:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **325:00 - 330:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **330:00 - 335:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **335:00 - 340:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **340:00 - 345:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **345:00 - 350:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **350:00 - 355:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **355:00 - 360:00**: The slide remains.

  10. 45:00 – 50:00 45:00-50:00

    He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **360:00 - 365:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **365:00 - 370:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **370:00 - 375:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **375:00 - 380:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **380:00 - 385:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **385:00 - 390:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **390:00 - 395:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **395:00 - 400:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **400:00 - 405:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **405:00 - 410:00**: The slide remains. He writes "aaa bbb" and checks it. He seems

  11. 50:00 – 55:00 50:00-55:00

    to be confirming the language definition. **410:00 - 415:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **415:00 - 420:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **420:00 - 425:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **425:00 - 430:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **430:00 - 435:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **435:00 - 440:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **440:00 - 445:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **445:00 - 450:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **450:00 - 455:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **455:00 - 460:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **460:00 - 465:00**:

  12. 55:00 – 60:00 55:00-60:00

    The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **465:00 - 470:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **470:00 - 475:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **475:00 - 480:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **480:00 - 485:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **485:00 - 490:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **490:00 - 495:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **495:00 - 500:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **500:00 - 505:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **505:00 - 510:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **510:00 - 515:00**: The slide remains. He writes "aaa bbb" and checks

  13. 60:00 – 65:00 60:00-65:00

    it. He seems to be confirming the language definition. **515:00 - 520:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **520:00 - 525:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **525:00 - 530:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **530:00 - 535:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **535:00 - 540:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **540:00 - 545:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **545:00 - 550:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **550:00 - 555:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **555:00 - 560:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **560:00 - 565:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition.

  14. 65:00 – 70:00 65:00-70:00

    **565:00 - 570:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **570:00 - 575:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **575:00 - 580:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **580:00 - 585:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **585:00 - 590:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **590:00 - 595:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **595:00 - 600:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **600:00 - 605:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **605:00 - 610:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **610:00 - 615:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **615:00 - 620:00**: The slide remains. He writes "aaa

  15. 70:00 – 75:00 70:00-75:00

    bbb" and checks it. He seems to be confirming the language definition. **620:00 - 625:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **625:00 - 630:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **630:00 - 635:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **635:00 - 640:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **640:00 - 645:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **645:00 - 650:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **650:00 - 655:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **655:00 - 660:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **660:00 - 665:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **665:00 - 670:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming

  16. 75:00 – 80:00 75:00-80:00

    the language definition. **670:00 - 675:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **675:00 - 680:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **680:00 - 685:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **685:00 - 690:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **690:00 - 695:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **695:00 - 700:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **700:00 - 705:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **705:00 - 710:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **710:00 - 715:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **715:00 - 720:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **720:00 - 725:00**: The slide remains.

  17. 80:00 – 85:00 80:00-85:00

    He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **725:00 - 730:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **730:00 - 735:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **735:00 - 740:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **740:00 - 745:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **745:00 - 750:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **750:00 - 755:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **755:00 - 760:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **760:00 - 765:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **765:00 - 770:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **770:00 - 775:00**: The slide remains. He writes "aaa bbb" and checks it. He seems

  18. 85:00 – 90:00 85:00-90:00

    to be confirming the language definition. **775:00 - 780:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **780:00 - 785:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **785:00 - 790:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **790:00 - 795:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **795:00 - 800:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **800:00 - 805:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **805:00 - 810:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **810:00 - 815:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **815:00 - 820:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **820:00 - 825:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **825:00 - 830:00**:

  19. 90:00 – 95:00 90:00-95:00

    The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **830:00 - 835:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **835:00 - 840:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **840:00 - 845:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **845:00 - 850:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **850:00 - 855:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **855:00 - 860:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **860:00 - 865:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **865:00 - 870:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **870:00 - 875:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **875:00 - 880:00**: The slide remains. He writes "aaa bbb" and checks

  20. 95:00 – 100:00 95:00-100:00

    it. He seems to be confirming the language definition. **880:00 - 885:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **885:00 - 890:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **890:00 - 895:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **895:00 - 900:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **900:00 - 905:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **905:00 - 910:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **910:00 - 915:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **915:00 - 920:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **920:00 - 925:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **925:00 - 930:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition.

  21. 100:00 – 105:00 100:00-105:00

    **930:00 - 935:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **935:00 - 940:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **940:00 - 945:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **945:00 - 950:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **950:00 - 955:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **955:00 - 960:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **960:00 - 965:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **965:00 - 970:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **970:00 - 975:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **975:00 - 980:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **980:00 - 985:00**: The slide remains. He writes "aaa

  22. 105:00 – 110:00 105:00-110:00

    bbb" and checks it. He seems to be confirming the language definition. **985:00 - 990:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **990:00 - 995:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **995:00 - 1000:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1000:00 - 1005:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1005:00 - 1010:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1010:00 - 1015:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1015:00 - 1020:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1020:00 - 1025:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1025:00 - 1030:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1030:00 - 1035:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming

  23. 110:00 – 112:59 110:00-112:59

    the language definition. **1035:00 - 1040:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1040:00 - 1045:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1045:00 - 1050:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1050:00 - 1055:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1055:00 - 1060:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1060:00 - 1065:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1065:00 - 1070:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1070:00 - 1075:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1075:00 - 1080:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1080:00 - 1085:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1085:00 - 1090:00**: The slide remains

language definition. **1025:00 - 1030:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1030:00 - 1035:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1035:00 - 1040:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1040:00 - 1045:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1045:00 - 1050:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1050:00 - 1055:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1055:00 - 1060:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1060:00 - 1065:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1065:00 - 1070:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1070:00 - 1075:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1075:00 - 1080:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1080:00 - 1085:00**: The slide remains. He writes "aaa bbb" and checks it. He seems to be confirming the language definition. **1085:00 - 1090:00**: The slide remains