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Mathematical Logic

IIT Madras, , Prof. Arindama Singh

Updated On 02 Feb, 19

Overview

Contents:
Propositional Logic : Syntax, Unique parsing, Semantics, Equivalences, Consequences, Calculations, Informal proofs.

Normal Forms and Resolution : Clauses, CNF and DNF representations, Adequacy of calculations, SAT, Resolution refutation, Adequacy of resolution.

Proof Systems : Axiomatic system PC, Adequacy of PC, Analytic tableau PT, Adequacy of PT, Compactness of PL.

First Order Logic : Syntax of FL, Scope and binding, Substitutions, Semantics of FL,Quantifier laws, Equivalences, Consequences.

Normal Forms in FL : Calculations, Informal proofs, Prenex forms, Skolem forms,Herbrand's theorem, Skolem-Lowenheim theorem, Resoltion in FL.

Proof Systems for FL : Axiomatic system FC, Analytic tableau FT, Adequacy of FC and FT, Compactness in FL.
Axiomatic Theories : Undecidabilty of FL, Godel's incompleteness theorems.

Includes

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

4.1 ( 11 )


Lecture Details

Mathematical Logic by Prof.Arindama Singh, Department of Mathematics ,IIT Madras. For more details on NPTEL visit httpnptel.iitm.ac.in

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Comments
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Sam

Excellent course helped me understand topic that i couldn't while attendinfg my college.

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Dembe

Great course. Thank you very much.

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