Media Summary: 0:00 Definition of the "resolution" inference rule 1:43 CS applications of resolution 2:26 The disjunctive syllogism is a special case ... Formal proofs in propositional logic 0:00 First argument 2:21 Informal definition of a proof 4:07 Proof of the first argument 9:01 ... A second sample formal proof in predicate logic.

Discrete Structures Lecture 20 Segment - Detailed Analysis & Overview

0:00 Definition of the "resolution" inference rule 1:43 CS applications of resolution 2:26 The disjunctive syllogism is a special case ... Formal proofs in propositional logic 0:00 First argument 2:21 Informal definition of a proof 4:07 Proof of the first argument 9:01 ... A second sample formal proof in predicate logic. 0:00 Five examples of English sentences translated into predicate logic 7:47 Three examples of predicate logic expressions ... Three new rules of inference (for propositional logic) 0:00 Addition 1:38 Simplification 2:33 Conjunction 4:01 First example of a ... The change-making problem 0:00 Definition: Change-making problem and algorithm 1:

0:00 Unary predicates 2:57 Binary predicates 4:56 domain of a variable (or universe of discourse) 12:12 ternary predicates 14:29 ... Predicate logic 0:00 Formalizing the Flipper argument 10:35 The need for quantification.

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Discrete Structures [Lecture 20 / Segment 1] - Relative rate of growth of reference functions
Discrete Structures [Lecture 20 / Segment 7] - Big-Theta notation
Discrete Structures [Lecture 20 / Segment 5] - Good upper bounds: Two more examples
Discrete Structures [Lecture 20 / Segment 4] - Good upper bounds: One example
Discrete Structures [Lecture 20 / Segment 3] - The growth of functions: function multiplication
Discrete Structures [Lecture 20 / Segment 2] - The growth of functions: function addition
Discrete Structures [Lecture 20 / Segment 6] - Big-Omega notation
Discrete Structures [Lecture 8 / Segment 4] - Predicate logic - Part 17/20
Discrete Structures [Lecture 8 / Segment 3] - Predicate logic - Part 16/20
Discrete Structures [Lecture 9 / Segment 3] - Predicate logic - Part 20/20
Discrete Structures [Lecture 7 / Segment 4] - Predicate logic - Part 13/20
Discrete Structures [Lecture 8 / Segment 2] - Predicate logic - Part 15/20
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Discrete Structures [Lecture 20 / Segment 1] - Relative rate of growth of reference functions

Discrete Structures [Lecture 20 / Segment 1] - Relative rate of growth of reference functions

Welcome to this third

Discrete Structures [Lecture 20 / Segment 7] - Big-Theta notation

Discrete Structures [Lecture 20 / Segment 7] - Big-Theta notation

Welcome back in this last

Discrete Structures [Lecture 20 / Segment 5] - Good upper bounds: Two more examples

Discrete Structures [Lecture 20 / Segment 5] - Good upper bounds: Two more examples

Welcome back in this fifth

Discrete Structures [Lecture 20 / Segment 4] - Good upper bounds: One example

Discrete Structures [Lecture 20 / Segment 4] - Good upper bounds: One example

Welcome back in previous

Discrete Structures [Lecture 20 / Segment 3] - The growth of functions: function multiplication

Discrete Structures [Lecture 20 / Segment 3] - The growth of functions: function multiplication

Welcome back to this third

Discrete Structures [Lecture 20 / Segment 2] - The growth of functions: function addition

Discrete Structures [Lecture 20 / Segment 2] - The growth of functions: function addition

... so in this

Discrete Structures [Lecture 20 / Segment 6] - Big-Omega notation

Discrete Structures [Lecture 20 / Segment 6] - Big-Omega notation

Welcome back in this

Discrete Structures [Lecture 8 / Segment 4] - Predicate logic - Part 17/20

Discrete Structures [Lecture 8 / Segment 4] - Predicate logic - Part 17/20

0:00 Definition of the "resolution" inference rule 1:43 CS applications of resolution 2:26 The disjunctive syllogism is a special case ...

Discrete Structures [Lecture 8 / Segment 3] - Predicate logic - Part 16/20

Discrete Structures [Lecture 8 / Segment 3] - Predicate logic - Part 16/20

Formal proofs in propositional logic 0:00 First argument 2:21 Informal definition of a proof 4:07 Proof of the first argument 9:01 ...

Discrete Structures [Lecture 9 / Segment 3] - Predicate logic - Part 20/20

Discrete Structures [Lecture 9 / Segment 3] - Predicate logic - Part 20/20

A second sample formal proof in predicate logic.

Discrete Structures [Lecture 7 / Segment 4] - Predicate logic - Part 13/20

Discrete Structures [Lecture 7 / Segment 4] - Predicate logic - Part 13/20

0:00 Five examples of English sentences translated into predicate logic 7:47 Three examples of predicate logic expressions ...

Discrete Structures [Lecture 8 / Segment 2] - Predicate logic - Part 15/20

Discrete Structures [Lecture 8 / Segment 2] - Predicate logic - Part 15/20

Three new rules of inference (for propositional logic) 0:00 Addition 1:38 Simplification 2:33 Conjunction 4:01 First example of a ...

Discrete Structures [Lecture 32 / Segment 5] - Combinatorial proof of Vandermonde's identity

Discrete Structures [Lecture 32 / Segment 5] - Combinatorial proof of Vandermonde's identity

Welcome back in this

Discrete Structures [Lecture 17 / Segment 6] - Introduction to algorithms - Part 6/6

Discrete Structures [Lecture 17 / Segment 6] - Introduction to algorithms - Part 6/6

The change-making problem 0:00 Definition: Change-making problem and algorithm 1:

Discrete Structures [Lecture 5 / Segment 3] - Predicate logic - Part 3/20

Discrete Structures [Lecture 5 / Segment 3] - Predicate logic - Part 3/20

0:00 Unary predicates 2:57 Binary predicates 4:56 domain of a variable (or universe of discourse) 12:12 ternary predicates 14:29 ...

Discrete Structures [Lecture 5 / Segment 4] - Predicate logic - Part 4/20

Discrete Structures [Lecture 5 / Segment 4] - Predicate logic - Part 4/20

Predicate logic 0:00 Formalizing the Flipper argument 10:35 The need for quantification.