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Can Computers Understand Their Own Programs?

Published on Jul 10, 20126672 Views

Charles Antony Richard Hoare

The answer depends on ideas of philosophy, logic, proofs of programs, and self-application. These are interests which I share with Turing, and which go back to the ancient philosophers Aristotle and E

Alan Turing Centenary Conference 2012 - Manchester

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Artificial IntelligenceComputers

Chapter list

Can Computers Understand Their Own Programs?00:00
Auxiliary question 2 .01:11
Auxiliary question 3.03:00
Question 104:38
Auxiliary question 1.05:06
Aristotle 384-322 BC.07:06
Logic is defined by08:45
Grammar09:14
Barbara10:11
Celarent11:41
Darii12:24
24 syllogisms12:49
Examples from Biology14:41
A five-line proof16:03
Grammar of proofs16:41
Principles16:44
Computer reasoning18:20
The four-colour theorem (1)19:06
The four-colour theorem (2)20:51
The Kepler Conjecture22:49
Question 224:40
Euclid24:46
Constructions26:16
Five postulates28:03
To draw a circle with any centre and radius. (postulate 3).28:44
23 Definitions29:05
An equilateral triangle has equal sides (Def 20)29:49
All straight lines from the boundary to the centre of a circle are equal (Def 14, 15, 16)30:03
Five common notions30:23
48 Propositions of Book 130:44
Subroutines31:12
1. To construct an equilateral triangle (1)32:59
1. To construct an equilateral triangle (2)33:04
1. To construct an equilateral triangle (3)33:06
1. To construct an equilateral triangle (4)33:10
1. To construct an equilateral triangle (5)33:19
1. To construct an equilateral triangle (6)33:40
1. To construct an equilateral triangle (7)33:46
1. To construct an equilateral triangle (8)33:50
1. To construct an equilateral triangle (9)34:11
1. To construct an equilateral triangle (10)34:21
1. To construct an equilateral triangle (11)34:50
1. To construct an equilateral triangle (12)34:56
1. To construct an equilateral triangle (13)35:02
Summary of Euclid’s method35:58
Alan Turing36:56
The Hoare triple: P{V}R38:31
Examples of triples39:30
Sequential execution40:17
Conditional tests.41:06
Repetition41:43
Non-determinism41:51
Syllogism for non-determinism.43:44
Question 343:57
The Turing test44:44
An Engineering Version of the Test45:26
Criterion of understanding46:37
Typical questions48:39
The Intelligent Programmer’s Assistant49:39
Collaborative program development51:17
The programmer will complain52:23
Analogies52:42
Alan Turing53:41