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Table 5 Inferring the function of protein Pu described in example 2

From: Predicting protein functions by applying predicate logic to biomedical literature

Step

Reason

1. AAS(Px)

Given premise (based on its co-occurrence with Pu)

2. AAS(Py)

Given premise (based on its co-occurrence with Pu)

3. AAS(Px) ∧ AAS(Py)

Conjunction using steps 1 & 2

4. AAS(Px) → ST(Px)

Premise R2 from Table 1

5. ST(Px)

Modus Ponens using steps 1 & 4

6. (AAS(Px) ∧ AAS(Py)) ∧ ST(Px)

Conjunction using steps 3 & 5

7. (AAS(Px) ∧ AAS(Py))→((ST(Px)→F(Py))

Premise R10 from Table 1

8. F(Py)

Conditional Proof using steps 6 & 7

9. AAS(Py) → ST(Py)

Premise R2 from Table 1

10. ST(Py)

Modus Ponens using steps 2 & 9

11. (AAS(Px) ∧ AAS(Py)) ∧ ST(Py)

Conjunction using steps 3 &10

12. (AAS(Px) ∧ AAS(Py))→((ST(Py)→F(Px))

Premise M10 from Table 1

13. F(Px)

Conditional Proof using steps 11&12