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# BIOL 240: Microbiology 1

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# ECE 203: Probability

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# ECE 207: Signals and Systems

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# ECE 208: Discrete Math 2
## Hilbert system rules
**Axioms:**
- $\vdash (A\implies (B\implies A))$
- $\vdash (A\implies (B\implies C))\implies ((A\implies B)\implies (A\implies C))$
- $\vdash (\neg B\implies\neg A)\implies (A\implies B))$
**Inference (MP):**
- $\frac{\vdash A, \vdash A\implies B}{\vdash B}$
**Derived rules:**
- Deduction: $\frac{U\cup \{A\}\vdash B}{U\vdash A\implies B}$
- Contrapositive: $\frac{U\vdash \neg B\implies\neg A}{U\vdash A\implies B}$ (and vice versa)
- Transitivity: $\frac{u\vdash A\implies B, U\vdash B\implies C}{U\vdash A\implies C}$
- Exchange of antecedent: $\frac{U\vdash A\implies (B\implies C)}{U\vdash B\implies (A\implies C)}$
- Double negation: $\frac{U\vdash \neg\neg A}{U\vdash A}$ (and vice versa)
- Reductio ad absurdum: $\frac{U\vdash\neg A\implies false}{U\vdash A}$

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# ECE 224: Embedded

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# ECE 252: Concurrency

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- "ECE 250: DSA": 2a/ece250.md - "ECE 250: DSA": 2a/ece250.md
- "ECE 205: Advanced Calculus 1": 2a/ece205.md - "ECE 205: Advanced Calculus 1": 2a/ece205.md
- "ECE 204: Numerical Methods": 2a/ece204.md - "ECE 204: Numerical Methods": 2a/ece204.md
- Computer Engineering 2B:
- "ECE 208: Discrete Math 2": 2b/ece208.md
- "ECE 207: Signals": 2b/ece207.md
- "BIOL 240: Microbiology 1": 2b/biol240.md
- "ECE 203: Probability": 2b/ece203.md
- "ECE 224: Embedded": 2b/ece224.md
- "ECE 252: Concurrency": 2b/ece252.md
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