Mathematics - Mathematical Logic

Course Lectures

• Mod-01 Lec-01 Sets and Strings

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• Mod-01 Lec-02 Lecture-02-Syntax of Propositional Logic

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• Mod-01 Lec-03 Lecture-03-Unique Parsing

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• Mod-01 Lec-04 Lecture-04-Semantics of PL

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• Mod-01 Lec-05 Lecture-05-Consequences and Equivalences

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• Mod-01 Lec-06 Five results about PL

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• Mod-01 Lec-07 Lecture-07-Calculations and Informal Proofs

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• Mod-01 Lec-08 Lecture-08-More Informal Proofs

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• Mod-01 Lec-09 Lecture-09-Normal forms

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• Mod-01 Lec-10 Lecture-10-SAT and 3SAT

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• Mod-01 Lec-11 Lecyture-11-Horn-SAT and Resolution

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• Mod-01 Lec-12 Lecture-12-Resolution

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• Mod-01 Lec-13 Lecture-13-Adequacy of Resolution

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• Mod-01 Lec-14 Lecture-14-Adequacy and Resolution Strategies

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• Mod-01 Lec-15 Lecture-15-Propositional Calculus (PC)

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• Mod-01 Lec-16 Lecture-16-Some Results about PC

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• Mod-01 Lec-17 Lecture-17-Arguing with Proofs

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• Mod-01 Lec-18 Lecture-18-Adequacy of PC

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• Mod-01 Lec-19 Lecture-19-Compactness & Analytic Tableau

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• Mod-01 Lec-20 Lecture-20-Examples of Tableau Proofs

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• Mod-01 Lec-21 Lecture-21-Adequacy of Tableaux

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• Mod-01 Lec-22 Lecture-22-Syntax of First order Logic (FL)

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• Mod-01 Lec-23 Lecture-23-Symbolization & Scope of Quantifiers

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• Mod-01 Lec-24 Lecture-24-Hurdles in giving Meaning

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• Mod-01 Lec-25 Lecture-25-Semantics of FL

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• Mod-01 Lec-26 Lecture-26-Relevance Lemma

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• Mod-01 Lec-27 Lecture-27-Validity, Satisfiability & Equivalence

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• Mod-01 Lec-28 Lecture-28-Six Results about FL

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• Mod-01 Lec-29 Lecture-29-Laws, Calculation & Informal Proof

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• Mod-01 Lec-30 Lecture-30-Quantifier Laws and Consequences

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• Mod-01 Lec-31 Lecture-31-More Proofs and Prenex Form

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• Mod-01 Lec-32 Lecture-32-Prenex Form Conversion

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• Mod-01 Lec-33 Lecture-33-Skolem Form

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• Mod-01 Lec-34 Lecture-34-Syntatic Interpretation

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• Mod-01 Lec-35 Lecture-35-Herbrand's Theorem

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• Mod-01 Lec-36 Lecture-36-Most General Unifiers

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• Mod-01 Lec-37 Lecture-37-Resolution Rules

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• Mod-01 Lec-38 Lecture-38-Resolution Examples

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• Mod-01 Lec-39 Lecture-39-Ariomatic System FC

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• Mod-01 Lec-40 Lecture-40-FC and Semidecidability of FL

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• Mod-01 Lec-41 Lecture-41-Analytic Tableau for FL

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• Mod-01-Lec-42 Lecture-42-Godels Incompleteness Theorems

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