File: test17.8.ott

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% test17.8.ott  dot form test

%metavar x ::= {{ isa string }} 

indexvar index , n , i ::= {{ isa nat }} {{ coq nat }} {{ hol num }}

  grammar

    a :: 'a_' ::= 
      | ()                 :: :: unit
      | ( a0 , .... , an ) :: :: tuple
      | ( a0 : t0 , .... , an : tn ) :: :: typedtuple
      | a . i              :: :: proj
 
    t :: 't_' ::=
      | unit               ::   :: unit
      | t0 * .... * tn     ::   :: tuple 
      | ( t )              :: M :: paren {{ ich [[t]] }} {{ ocaml [[t]] }}
      | t + t2             ::   :: sum

formula :: formula_ ::=          
  | judgement              :: :: judgement
  | formula1 .. formulan   :: :: dots 
%         {{ isa (List.list_all (\<lambda> b . b) ( [[ formula1 .. formulan ]] ) ) }}
%         {{ coq (List.fold_left (fun (a b:Prop) => a /\ b) ([[ formula1 .. formulan ]]) True) }}

terminals :: terminals_ ::=
  | |-                     ::   :: turnstile {{ tex \vdash }}


defns
  Jtype :: '' ::= 

defn
  |- a : t :: :: ati :: at_ by


--------- :: 1
|- () : unit

|- a0 : t'0  .... |- an : t'n
---------------------------- :: 2
|- ( a0,....,an):t'0*....*t'n

|- a : t0*....*tn
%|- a : (t0 + t'0)*....*(tn + t'n)
------------------- :: 3
|- a.i :ti