vault backup: 2025-04-14 17:05:00
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@ -123,23 +123,15 @@ From this, we can do:
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These actions **complement each other**, so we can apply the **synchronization rule**:
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A′→bˉAB→bB′A′∣B→τA∣B′\frac{A' \xrightarrow{\bar{b}} A \quad B \xrightarrow{b} B'}{A' \mid B \xrightarrow{\tau} A \mid B'}
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$$\frac{A' \xrightarrow{\bar{b}} A \quad B \xrightarrow{b} B'}{A' \mid B \xrightarrow{\tau} A \mid B'}$$
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✅ **Second transition:**
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$$A' \mid B \xrightarrow{\tau} A \mid B'$$
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A′∣B→τA∣B′A' \mid B \xrightarrow{\tau} A \mid B'
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---
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## ▶️ Step 3: Transition from B'
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##### ▶️ Step 3: Transition from B'
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From the definition:
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- B′≜cˉ.BB' \triangleq \bar{c}.B
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So:
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B′→cˉBB' \xrightarrow{\bar{c}} B
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- $BB' \triangleq \bar{c}.B$
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- So: B′→cˉBB' \xrightarrow{\bar{c}} B
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Now use the **right parallel rule**:
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