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Representing
Commonsense Knowledge
Chapter 18.
2
Outline
 The Commonsense World
 Time
 Knowledge Representations by Networks
 Additional Readings and Discussion
3
18.1 The Commonsense World
 What Is Commonsense Knowledge?
 Most people know the fact that a liquid fall out if the cup is
turned upside down. But how can we represent it ?
 Commonsense knowledge
 If you drop an object, it will fall.
 People don‟t exist before they are born.
 Fish live in water and will die if taken out.
 People buy bread and milk in a grocery store.
 People typically sleep at night.
4
18.1.2 Difficulties in Representing
Commonsense Knowledge
 How many will be needed by a system capable of general
human-level intelligence? No on knows for sure.
 No well-defined frontiers
 Knowledge about some topics may not be easily captured
by declarative sentences.
 Description of a human face
 Many sentences we might use for describing the world
are only approximations.
5
18.1.3 The Importance of Commonsense
Knowledge
 Machine with commonsense
 The knowledge such a robot would have to have!
 Commonsense knowledge for expert systems
 To recognize outside of the specific area, to predict more
accurately.
 Commonsense for expanding the knowledge of an expert
system
 To understanding natural language
6
18.1.4 Research Areas
 Currently not available system with commonsense but,
 Object and materials : describing materials and their properties
 Space : formalizing various notions about space
 Physical properties : mass, temperature, volume, pressure, etc.
 Physical Processes and events : modeling by differential
equations v.s. qualitative physics without the need for exact
calculation
 Time : developing techniques for describing and reasoning
about time
7
18.2 Time
 How are we to think about time?
 Real line: extending both into infinite past and infinite future
 Integer: countable from beginning with 0 at „big bang‟
 [James 1984, Allen 1983]
 Time is something that events and processes occur in.
 “Interval” : containers for events and processes.
 Predicate calculus used for describing interval
 Occurs(E, I) : some event or process E, occupies the interval I.
 Interval has starting and ending time points.
8
 그림 18.1
Figure 18.1 Relation between Intervals
9
18.3 Knowledge Representation by Networks
18.3.1 Taxonomic Knowledge
 The entities of both commonsense and expert domains
can be arranged in hierarchical structures that organize
and simplify reasoning.
 CYC system [Guha & Lenat 1990]
 Taxonomic hierarchies : encoded either in networks or
data structure called frames.
 Example
 “Snoopy is a laser printer, all laser printers are printers, all
printers are machines.”
Laser_printer(Snoopy)
(x)[Laser_printer(x)  Printer(x)]
(x)[Printer(x)  Office_machine(x)]
10
18.3.2 Semantic Networks
 Definition : graph structures that encode taxonomic
knowledge of objects and their properties
 Two kinds of nodes
 Nodes labeled by relation constants corresponding to either
taxonomic categories or properties
 Nodes labeled by object constants corresponding to objects in
the domain
 Three kinds of arcs connecting nodes
 Subset arcs (isa links)
 Set membership arcs (instance links)
 Function arcs
11
 그림 18.2
Figure 18.2 A Semantic network
12
18.3.3 Nonmonotonic Reasoning in
Semantic Networks
 Reasoning in ordinary logic is monotonic.
 Because adding axioms to a logical system does not diminish
the set of theorems that can be proved.
 We must retract the default inference if new
contradictory knowledge arrives.
 Default inference : barring knowledge to the contrary, we are
willing to assume are true.
 Example of nonmonotonic reasoning : cancellation of
inheritance.
 By default, the energy source of office machines is electric wall
outlet. But the energy source of a robot is a battery.
13
 Figure 18.3 A Semantic Network for Default Reasoning
 Adding another function arc
 Contradiction from property inheritance can be resolved by the
way in which information about the most specific categories
takes precedence over less specific categories.
14
18.3.4 Frames
 Frame is a Data structure which has a name and a set of attribute-
value pairs (slots).
 The frame name corresponds to a node in a semantic network.
 The attributes (slot names) correspond to the names of arcs associated
with this node
 The values (slot fillers)correspond to nodes at the other ends of these
arcs.
 Semantic networks and frames do have difficulties in expressing
certain kinds of knowledge
 Disjunctions, negations, nontaxonomic knowledge
 Hybrid system : KRYPTON, CLASSIC
 Use terminological logic (employing hierarchical structures to
represnent entities, classes, and properties and logical expressions for
other information).
15
Figure 18.5 A Frame

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18 common knowledge

  • 2. 2 Outline  The Commonsense World  Time  Knowledge Representations by Networks  Additional Readings and Discussion
  • 3. 3 18.1 The Commonsense World  What Is Commonsense Knowledge?  Most people know the fact that a liquid fall out if the cup is turned upside down. But how can we represent it ?  Commonsense knowledge  If you drop an object, it will fall.  People don‟t exist before they are born.  Fish live in water and will die if taken out.  People buy bread and milk in a grocery store.  People typically sleep at night.
  • 4. 4 18.1.2 Difficulties in Representing Commonsense Knowledge  How many will be needed by a system capable of general human-level intelligence? No on knows for sure.  No well-defined frontiers  Knowledge about some topics may not be easily captured by declarative sentences.  Description of a human face  Many sentences we might use for describing the world are only approximations.
  • 5. 5 18.1.3 The Importance of Commonsense Knowledge  Machine with commonsense  The knowledge such a robot would have to have!  Commonsense knowledge for expert systems  To recognize outside of the specific area, to predict more accurately.  Commonsense for expanding the knowledge of an expert system  To understanding natural language
  • 6. 6 18.1.4 Research Areas  Currently not available system with commonsense but,  Object and materials : describing materials and their properties  Space : formalizing various notions about space  Physical properties : mass, temperature, volume, pressure, etc.  Physical Processes and events : modeling by differential equations v.s. qualitative physics without the need for exact calculation  Time : developing techniques for describing and reasoning about time
  • 7. 7 18.2 Time  How are we to think about time?  Real line: extending both into infinite past and infinite future  Integer: countable from beginning with 0 at „big bang‟  [James 1984, Allen 1983]  Time is something that events and processes occur in.  “Interval” : containers for events and processes.  Predicate calculus used for describing interval  Occurs(E, I) : some event or process E, occupies the interval I.  Interval has starting and ending time points.
  • 8. 8  그림 18.1 Figure 18.1 Relation between Intervals
  • 9. 9 18.3 Knowledge Representation by Networks 18.3.1 Taxonomic Knowledge  The entities of both commonsense and expert domains can be arranged in hierarchical structures that organize and simplify reasoning.  CYC system [Guha & Lenat 1990]  Taxonomic hierarchies : encoded either in networks or data structure called frames.  Example  “Snoopy is a laser printer, all laser printers are printers, all printers are machines.” Laser_printer(Snoopy) (x)[Laser_printer(x)  Printer(x)] (x)[Printer(x)  Office_machine(x)]
  • 10. 10 18.3.2 Semantic Networks  Definition : graph structures that encode taxonomic knowledge of objects and their properties  Two kinds of nodes  Nodes labeled by relation constants corresponding to either taxonomic categories or properties  Nodes labeled by object constants corresponding to objects in the domain  Three kinds of arcs connecting nodes  Subset arcs (isa links)  Set membership arcs (instance links)  Function arcs
  • 11. 11  그림 18.2 Figure 18.2 A Semantic network
  • 12. 12 18.3.3 Nonmonotonic Reasoning in Semantic Networks  Reasoning in ordinary logic is monotonic.  Because adding axioms to a logical system does not diminish the set of theorems that can be proved.  We must retract the default inference if new contradictory knowledge arrives.  Default inference : barring knowledge to the contrary, we are willing to assume are true.  Example of nonmonotonic reasoning : cancellation of inheritance.  By default, the energy source of office machines is electric wall outlet. But the energy source of a robot is a battery.
  • 13. 13  Figure 18.3 A Semantic Network for Default Reasoning  Adding another function arc  Contradiction from property inheritance can be resolved by the way in which information about the most specific categories takes precedence over less specific categories.
  • 14. 14 18.3.4 Frames  Frame is a Data structure which has a name and a set of attribute- value pairs (slots).  The frame name corresponds to a node in a semantic network.  The attributes (slot names) correspond to the names of arcs associated with this node  The values (slot fillers)correspond to nodes at the other ends of these arcs.  Semantic networks and frames do have difficulties in expressing certain kinds of knowledge  Disjunctions, negations, nontaxonomic knowledge  Hybrid system : KRYPTON, CLASSIC  Use terminological logic (employing hierarchical structures to represnent entities, classes, and properties and logical expressions for other information).