Week - 1 |
Quantification. Formal language of quantificational logic. Terms and quantified statements. |
Week - 2 |
Free and bound variables. Substitution. |
Week - 3 |
Symbolization and translation. |
Week - 4 |
Symbolization and translation (cont). |
Week - 5 |
Natural deductions in quantificational logic. |
Week - 6 |
Natural deductions in quantificational logic (cont). |
Week - 7 |
Natural deductions in quantificational logic (cont). |
Week - 8 |
Natural deductions in quantificational logic (cont). |
Week - 9 |
Natural deductions in quantificational logic (cont). |
Week - 10 |
Natural deductions in quantificational logic (cont). |
Week - 11 |
First-order structures. Interpretation of terms in first-order structures. Satisfiability in first order structures. Validity, invalidity. |
Week - 12 |
Satisfiability in first order structures. Validity, invalidity. |
Week - 13 |
Satisfiability in first order structures. Validity, invalidity. Finding models and counter-models. |
Week - 14 |
Prenex normal form |