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Knowledge Model Basics
Challenges in knowledge modeling
Basic knowledge-modeling constructs
Comparison to general software analysis
Knowledge-modelling basics 2
Knowledge model
specialized tool for specification of knowledge-intensive tasks
abstracts from communication aspects real-world oriented reuse is central theme
Knowledge-modelling basics 3
Relation to other models
organization modeltask model
agent model
knowledge-intensive
task
communicationmodel
knowledgemodel
designmodel
requirementsspecification
for interaction functions
requirementsspecification
for reasoning functions
task selected in feasibility studyand further detailed in Task and Agent Models
Knowledge-modelling basics 4
The term “knowledge”
“information about information” example: sub-class hierarchy of object types no hard borderline between information and
knowledge knowledge is “just“ semantically rich information
target: “knowledge-intensive” systems large bulk of meaningful information is present scope is broader than traditional KBS
Knowledge-modelling basics 5
Challenges in specifying knowledge
person
ageincome
loan
amountinterest
J ohn has a loan of $1,750Harry has a loan of $2,500
A person with a loan should be at least 18 years oldA person with an income up to $10,000 can get a maximum loan of $2,000A person with an income between $10,000 and $20,000 can get a maximum loan of $3,000
INFORMATION
KNOWLEDGE
has loan
Knowledge-modelling basics 6
Structuring a knowledge base
Rule 1: IF ... THEN ...
Rule 2: IF ... THEN ...
Rule 3: IF ... THEN ...
Rule 12: IF ... THEN ...
Rule 4: IF ... THEN ...
Rule 5: IF ... THEN ...
Rule 6: IF ... THEN ...
Rule 7: IF ... THEN ...
Rule 8: IF ... THEN ...Rule 9: IF ... THEN ...Rule 10: IF ... THEN ...Rule 11: IF ... THEN ...
<plus many others>
single flat knowledge base
multiple rule setscontaining rules
with similar structure
rules of type A
rules of type D
rules of type B
rules of type C
Knowledge-modelling basics 7
Knowledge categories
Task knowledge goal-oriented functional decomposition
Domain knowledge relevant domain knowledge and information static
Inference knowledge basic reasoning steps that can be made in the domain
knowledge and are applied by tasks
Knowledge-modelling basics 8
Knowledge model overview
Disease(type)
Symptom(type)
Test(type)
hypothesize(inference)
verify(inference)
DIAGNOSIS(task)
Task knowledgetask goalstask decompositiontask control
Inference knowledgebasic inferencesroles
Domain knowledgedomain typesdomain rulesdomain facts
Knowledge-modelling basics 9
Example domain: car diagnosis
fuel tankempty
batterylow
battery dialzero
gas dialzero
poweroff
engine behaviordoes not start engine behavior
stops
gas in enginefalse
fuseblown
fuse inspectionbroken
1
2 3
4 5
6
7 8 9
Knowledge-modelling basics 10
Domain knowledge
domain schema schematic description of knowledge and information types comparable to data model defined through domain constructs
knowledge base set of knowledge instances comparable to database content but; static nature
Knowledge-modelling basics 11
Constructs for domain schema
Concept cf. object class (without operations)
Relation cf. association
Attribute primitive value
Rule type introduces expressions => no SE equivalent
Knowledge-modelling basics 12
Concept & attribute
“Concept” describes a set of objects or instances multiple concept hierarchies
along distinct dimensions
can have any number of attributes Am attribute refers to a value values are atomic and are defined through a value
type attribute may not refer to another concept
use relation construct
Knowledge-modelling basics 13
Example: car concepts
VALUE-TYPE dial-value; VALUE-LIST: {zero, low, normal}; TYPE: ORDINAL;END VALUE-TYPE dial-value;
CONCEPT gas dial; ATTRIBUTES: value: dial-value;END CONCEPT gas-dial; CONCEPT fuel-tank;
ATTRIBUTES status: {full, almost-empty, empty};END CONCEPT fuel-tank;
gas dial
value: dial-value
fuel tank
status: {full, almost-empty, empty}
Knowledge-modelling basics 14
Example: apple concept
apple
color: {yellow, yellow-green, green}rusty-surface: booleangreasy-surface: booleanform: {flat, high}
Granny Smith:apple class
Golden Delicious:apple class
Grey Reinet:apple class
Present of England:apple class
apple classhas class
Knowledge-modelling basics 15
Example: car subtypes
car state
status: universalobservable: boolean
invisiblecar state
observable: {false}
visiblecar state
observable: {true}
car observable
value: universal
fuel tank
status: {full, almost-empty, empty}
battery
status: {normal, low}
fuse
status: {normal, blown}
gas in engine
status: boolean
power
status: {on, off}
engine behavior
status: {normal, does-not-start, stops}
fuse inspection
value: {normal, broken}
gas dial
value: dial value
battery dial
value: dial-value
Knowledge-modelling basics 16
Example: house sub-types
apartment
entrance-floor: naturallift-available: boolean
residence
house
square-meters: natural
CONCEPT house; DESCRIPTION: "a residence with its own territory"; SUB-TYPE-OF: residence; ATTRIBUTES: square-meters: NATURAL;END CONCEPT house;
CONCEPT apartment; DESCRIPTION: "part of of a larger estate"; SUB-TYPE-OF: residence; ATTRIBUTES: entrance-floor: NATURAL; lift-available: BOOLEAN;END CONCEPT apartment;
Knowledge-modelling basics 17
Relation
typically between concepts, any arity cardinality specification special construct for binary relations relations can have subtypes as well as attributes reification of a relation is allowed
relation functions as a concept cf. Association class in UML a form of higher order relations
Knowledge-modelling basics 18
Example: car relation
car person
car person
ownership
ownership
purchase date: date;
a)
b) car personowned-by
c)
0+ 0-1
Knowledge-modelling basics 19
N-ary relation
agent
nameposition
observation
valuedatetime
observable
type
location
departmenthospital
patient
namediagnosis
Knowledge-modelling basics 20
Modelling rules
“rules” are a common form for symbolic knowledge do not need to be formal knowledge analysis is focused on finding rules with a
common structure a rule as an instance of a rule type
Knowledge-modelling basics 21
Rule type
models a relation between expressions about feature values (e.g. attribute values)gas-dial.value = zero -> fuel-tank.status = empty
models set of real-world “rules” with a similar structure
dependency is usually not strictly logical (= implication) specify connection symbol
Knowledge-modelling basics 22
Example rule type
loanconstraint
restricts
person.income <= 10,000 RESTRICTS loan.amount <= 2,000
person.income > 10,000 AND person.income <= 20,000 RESTRICTS loan.amount <= 3,000
person
name: stringincome: integer
loan
amount: integerinterest-rate: number
1+
Knowledge-modelling basics 23
Rule type structure
<antecedent> <connection-symbol> <consequent> example rule:
fuel-supply.status = blocked
CAUSES
gas-in-engine.status = false;
flexible use for almost any type of dependency multiple types for antecedent and consequent
Knowledge-modelling basics 24
Rule types for car diagnosis
invisiblecar state
car state
car observable
invisiblecar state
manifestationrule
statedependency
causes
hasmanifestation
1 1
11
Knowledge-modelling basics 25
Knowledge base
= conceptual knowledge-base partition contains instances of knowledge types rule-type instances = “rules” structure:
USES: <types used> from <schema> EXPRESSIONS: <instances>
instance representation: intuitive natural language
– connection symbol formal expression language (appendix of book)
Knowledge-modelling basics 26
Example knowledge base
KNOWLEDGE-BASE car-network; USES: state-dependency FROM car-diagnosis-schema,
manifestation-rule FROM car-diagnosis-schema; EXPRESSIONS:
/* state dependencies */ fuse.status = blown CAUSES power.status = off; battery.status = low CAUSES power.status = off; …./* manifestation rules */ fuse.status = blown HAS-MANIFESTATION
fuse-inspection.value = broken; battery.status = low HAS-MANIFESTATION
battery-dial.value = zero; …..END KNOWLEDGE-BASE car-network;
Knowledge-modelling basics 27
Inference knowledge
describes the lowest level of functional decomposition
basic information-processing units: inference => reasoning transfer function => communication with other agents
why special status? indirectly related to domain knowledge enables reuse of inference
Knowledge-modelling basics 28
Example inference: cover
complaint hypothesiscover
causalmodel
my car does not startfuel tank is empty
fuel tank is empty leads to lack of gas in engineif there is no gas in the engine, then the car does not start
dynamic input role dynamic output role
static role
inference
Knowledge-modelling basics 29
Inference
fully described through a declarative specification of properties of its I/O
internal process of the inference is a black box not of interest for knowledge modeling.
I/O described using “role names” functional names, not part of the domain knowledge schema
/ data model
guideline to stop decomposition: explanation
Knowledge-modelling basics 30
Knowledge role
Functional name for data/knowledge elements Name captures the “role” of the element in the
reasoning process Explicit mapping onto domain types Dynamic role: variant input/output Static role: invariant input
cf. a knowledge basel
Knowledge-modelling basics 31
Example inference
INFERENCE cover;
ROLES:
INPUT: complaint;
OUTPUT: hypothesis;
STATIC: causal-model;
SPECIFICATION:
"Each time this inference is invoked, it generates a candidatesolution that could have caused the complaint. The
output thus should be an initial state in the state dependency network which causally ``covers'' the input complaint.";
END INFERENCE cover;
Knowledge-modelling basics 32
Example dynamic knowledge roles
KNOWLEDGE-ROLE complaint;
TYPE: DYNAMIC;
DOMAIN-MAPPING: visible-state;
END KNOWLEDGE-ROLE complaint;
KNOWLEDGE-ROLE hypothesis;
TYPE: DYNAMIC;
DOMAIN-MAPPING: invisible-state;
END KNOWLEDGE-ROLE hypothesis;
Knowledge-modelling basics 33
Example static knowledge role
KNOWLEDGE-ROLE causal-model;
TYPE: STATIC;
DOMAIN-MAPPING: state-dependency FROM car-network;
END KNOWLEDGE-ROLE causal-model;
Knowledge-modelling basics 34
Transfer functions
transfers an information item between the reasoning agent and another agent
from the knowledge-model point of view black box: only its name and I/O
detailed specification of transfer functions is part of communication model
standard names
Knowledge-modelling basics 35
Types of transfer functions
obtain receive
present provide
systeminitiative
externalinitiative
externalinformation
internalinformation
Knowledge-modelling basics 36
Inference structure
combined set of inferences specifies the basic inference capability of the target system
graphical representation: inference structure provides constraints for control flow
Knowledge-modelling basics 37
Example: car inferences
complaint
cover
predict compare
obtain
expectedfinding
actualfinding
result
causal model
manifestation model
hypothesis
Knowledge-modelling basics 38
Using inference structures
Important communication vehicle during development process
Often provisional inference structures Can be difficult to understand because of “vague”
(non domain-specific terms) Often useful to annotate with domain-specific
examples
Knowledge-modelling basics 39
Annotated inference structure
complaint
cover
predict compare
obtain
expectedfinding
actualfinding
result
causal model
manifestation model
hypothesis
engine doesnot start
state dependencyrules
empty fuel tank gas dial = zero/low
gas dial = normal
not equalmanifestation
rules
Knowledge-modelling basics 40
Reusing inferences
Standard set of inferences?! difficult subject
See catalog in Ch. 13 Use as much as possible standard names
Knowledge-modelling basics 41
Task knowledge
describes goals assess a mortgage application in order to minimize the risk
of losing money find the cause of a malfunction of a photocopier in order to
restore service. design an elevator for a new building.
describes strategies that can be employed for realizing goals.
typically described in a hierarchical fashion:
Knowledge-modelling basics 42
Task decomposition for car diagnosis
diagnosis
diagnosis through
generate-and-test
obtaincover
predict
task
task method
compare
decomposition
inferences
transfer function
Knowledge-modelling basics 43
Task
Description of the input/output Main distinction with traditional functions is that the
data manipulated by the task are (also) described in a domain-independent way. example, the output of a medical diagnosis task would not
be a “disease” but an abstract name such as “fault category”
Knowledge-modelling basics 44
Example task
TASK car-fault-category; GOAL: "Find a likely cause for the complaint of the user";
ROLES:INPUT: complaint: "Complaint about the behavior of the car";
OUTPUT: fault-category: "A hypothesis explained by the
evidence"; evidence: "Set of observations obtained during the
diagnostic process"; SPEC: "Find an initial state that explains the complaint
and is consistent with the evidence obtained";END TASK car-diagnosis;
Knowledge-modelling basics 45
Task method
describes how a task is realized through a decomposition into sub-functions
sub-functions: another task, inference, transfer function
core part of a method: “control structure” describes ordering of sub-functions small program,
captured reasoning strategy
additional task roles to store intermediate reasoning results
Knowledge-modelling basics 46
Example task method
TASK-METHOD diagnosis-through-generate-and-test; DECOMPOSITION:
INFERENCES: cover, predict, compare;
TRANSFER-FUNCTIONS: obtain;
ROLES:
INTERMEDIATE:
expected-finding: "The finding predicted,
in case the hypothesis is true";
actual-finding: "The finding actually observed";
Knowledge-modelling basics 47
Example method control
CONTROL-STRUCTURE:
REPEAT
cover(complaint -> hypothesis); predict(hypothesis -> expected-finding); obtain(expected-finding -> actual-finding); evidence := evidence ADD actual-finding; compare(expected-finding + actual-finding -> result);UNTIL "result = equal or no more solutions of over";
END REPEAT
IF result == equal
THEN fault-category := hypothesis;
ELSE "no solution found";
END IF
Knowledge-modelling basics 48
UML activity diagram for method control
cover
predict
obtain compare
[no more solutionsof cover]
[new solutionof cover]
[result = equal]
[result = not equal]
solution found
no solution found
startdiagnosisthrough
generate-and-test
Knowledge-modelling basics 49
Control structure elements
“procedure” calls: tasks, transfer functions, inferences
role operations assign, add/append, delete/subtract, retrieve, ..
control primitives repeat-until, while-do, foreach-do, if-then-else
Knowledge-modelling basics 50
Control structures (cont.)
Conditions: logical expressions about roles:
until differential = empty
two special conditions has-solution
– invocation of inference that can fail new solution
– invocation of inference that can succeed multiple times, e.g. the cover inference in the car-diagnosis model
Knowledge-modelling basics 51
Inference or task?
“If the internal behavior of a function are important for explaining the behavior of the system as a whole, then one needs to define this function as a task”
During development: provisional inference structures Function = task or inference (or transfer function)
Knowledge-modelling basics 52
Knowledge model vs. SE analysis model
“Data model” contains “data about data” = knowledge
Functions are described data-model independent enables reuse of reasoning functions
Emphasis on “internal control” strategy of reasoning process
Knowledge model abstracts from communication aspects
Knowledge-modelling basics 53
The data-function debate
DATAviewpoint
FUNCTIONviewpoint
Object-Oriented Analysis(OMT, Booch, ....)
Structured Analysis(Yourdon)
CommonKADS:function-data decoupling
functional decomposition is starting pointdata types are derived from DFDs
static information structure is starting pointfunctions are grouped with the data
reuse of data/function groups ("objects")
parallel function/data descriptionreusable functional decompositions
reusable data/knowledge types