Analoges Wissensreprsentation

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EXCURSION
Analogue Representation
Aaron Sloman, Sussex and Birmingham
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A Map Declarative or analogue?
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Analogue Repn plus Reasoning
Pythagoras Theorem
The World as intention and imagination"
Schopenhauer
Die Welt als Wille und Vorstellung"
?
Whats the Difference
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Fregian Representation
Functional and Declarative
Mary loves Toms brother "
Loves ( , )

Gottlob Frege Begriffsschrift (Halle
1879)
Mary
Brother ( )
Tom
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Examples for Fregian Representations
Arithmetical Expressions
Logical Expressions
Programming Languages
LISP cons(car(list), cdr(list)) list
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Example Analogue Repn (1)
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Example Analogue Repn (2)
?
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Example Analogue Repn (3)
?
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Example Analogue Repn (4)
l l l l l l l l l l
l l l l - l l l l
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More Examples Analogue Repn

• Call Structure
• Cable Plans
• Computer Boards
• Photography / Painting
• etc . . . . .
• Computer Vision (?)

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Again What is the difference ?

• Implementation of a Representation
• Isomorphism
• Relationship of the Parts to the Whole

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Analogue Repn of Knowledge in AI
Example
ABD DBC

In Gelernter's Geometry Theorem Prover
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Analogue Repn of Knowledge in AI

Example
In Shakey's Representation of the World
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Analogue Repn of Knowledge in AI
Example
1
2
3
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Subject to Constraints "
In Estmans General Space Planner
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Analogue Repn of Knowledge in AI
Example
In Funts Whisper-Programme
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Analogue Repn of Knowledge in AI
Example
Will the ladder slip away?
A
Given

• A / B
• Weight
• Frictional Coefficient

B
In A. Bundy ' Mecho '
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Analogue Repn or Freges Repn ?
? What is better ?
Exists a denotiation ?
Changes in representation ? changes in the
represented
object ?
Explicit versus implicit constraints
Number of relations
? What do we use ?