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Example 2.6.3. The electric circuit of Example 2.3.2, depicted in Fig. 2.4,
is slightly modied and further augmented by a light detecting device that
becomes and stays activated as soon as light turns on; see Fig. 2.8. Accord-
ingly, the basic action domain of Example 2.3.2 is extended by fluent name
detect 0 . The new arrangement is formalized by these four state constraints:
light up ( s 1 ) ^ up ( s 2 )
relay
up
(
s 1 ) ^
up
(
s 3 )
(2.13)
relay : up ( s 2 )
light
detect
Obviously, potential influence is as in our predecessor circuit but with
additionally having that the state of the light bulb may aect the de-
tector. After enhancing influence information I of Example 2.3.2 by pair
( light ; detect ), the above state constraints determine the following causal
relationships R according to our generation procedure.
up ( s 1 ) causes
light if up ( s 2 )
up ( s 2 ) causes
light if up ( s 1 )
:
(
s 1 ) causes
:
if >
:
(
s 2 ) causes :
if >
up
light
up
light
up
(
s 1 ) causes
relay
if
up
(
s 3 )
up
(
s 3 ) causes
relay
if
up
(
s 1 )
: up ( s 1 ) causes
: relay if >
: up ( s 3 ) causes : relay if >
relay causes : up ( s 2 )if >
light causes
detect if >
Now, suppose we toggle the rst switch, s 1 , in the state depicted in Fig. 2.8.
What is the expected outcome? Obviously, the relay gets activated and, then,
: up ( s 1 )
up ( s 2 )
: light
R : detect
: relay
up ( s 3 )
Figure 2.8. A modied electric circuit (c.f. Fig. 2.4) augmented by a device, repre-
sented by fluent detect , which registers an activation of the light bulb (this device
combines a phototransistor and flipflop). It is assumed that no action of light has
occurred yet.
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