File: bool.ott

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% TAPL [bool]  Booleans, p34
grammar
t :: Tm ::=                                        {{ com terms: }}
  | true                          ::   :: True       {{ com constant true }}
  | false                         ::   :: False      {{ com constant false }}
  | if t1 then t2 else t3         ::   :: If         {{ com conditional }}

v :: Va ::=                                        {{ com values: }}
  | true                          ::   :: True       {{ com true value }}
  | false                         ::   :: False      {{ com false value }}


subrules
v <:: t

defns 
Jop :: '' ::= 

defn 
t --> t' :: :: red :: E_ {{ com Evaluation }} by

------------------------------- :: IfTrue
if true then t2 else t3 --> t2

------------------------------- :: IfFalse
if false then t2 else t3 --> t3

t1 --> t1'
------------------------------------------------ :: If
if t1 then t2 else t3 --> if t1' then t2 else t3