behaviours are dual to events - university of edinburghintro functional reactive animation of c of...
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Behaviours are Dualto Events
Philip WadlerUniversity of Edinburgh
Hudak Symposium, 29 April 2016
�, A ` � ⇤-L�, ⇤A ` �
⇤� ` A, ⌃� ⇤-R⇤� ` ⇤A, ⌃�
⇤�, A ` ⌃� ⌃-L⇤�, ⌃A ` ⌃�� ` A, � ⌃-R
� ` ⌃A, �
⇤A = Time ! A
⌃A = Time⇥ A
¬A = A! ?
¬⇤¬A
= (Time ! (A! ?))! ?= ((Time⇥ A)! ?)! ?= ¬¬⌃A
= ⌃A
¬⌃¬A
= (Time⇥ (A! ?))! ?= Time ! ((A! ?)! ?)
= ⇤¬¬A
= ⇤A
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