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node Sofar( X : bool ) returns ( Sofar : bool );
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let
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Sofar = X -> X or pre Sofar;
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tel
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node excludes4( X1, X2, X3, X4 : bool ) returns ( excludes : bool );
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let
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excludes = not ( X1 and X2 and X1 and X3 or X1 and X4 or
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X2 and X3 or X2 and X4 or
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X3 and X4 );
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tel
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node moesi(init_invalid_mo : int; etat_mo1, etat_mo2, etat_mo3, etat_mo4 : bool)returns(
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modified_mo, exclusive_mo, shared_mo, invalid_mo, owned_mo: int; erreur_mo : bool
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);
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var
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garde_mo1, garde_mo2, garde_mo3, garde_mo4 : bool;
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let
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garde_mo1 = pre invalid_mo >= 1;
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garde_mo2 = pre exclusive_mo>=1;
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garde_mo3 = pre shared_mo + pre owned_mo>=1;
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garde_mo4 = pre invalid_mo>=1;
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erreur_mo = false -> exclusive_mo >= 2;
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modified_mo = 0 ->
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if(etat_mo1) then if(garde_mo1) then 0 else pre modified_mo else
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if(etat_mo2) then if(garde_mo2) then pre modified_mo+1 else pre modified_mo else
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if(etat_mo3) then if(garde_mo3) then 0 else pre modified_mo else
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if(etat_mo4) then if(garde_mo4) then 0 else pre modified_mo else
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pre modified_mo;
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exclusive_mo = 0 ->
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if(etat_mo1) then if(garde_mo1) then 0 else pre exclusive_mo else
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if(etat_mo2) then if(garde_mo2) then pre exclusive_mo-1 else pre exclusive_mo else
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if(etat_mo3) then if(garde_mo3) then 1 else pre exclusive_mo else
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if(etat_mo4) then if(garde_mo4) then 1 else pre exclusive_mo else
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pre exclusive_mo;
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shared_mo = 0 ->
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if(etat_mo1) then if(garde_mo1) then pre shared_mo + pre exclusive_mo + 1 else pre shared_mo else
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if(etat_mo3) then if(garde_mo3) then 0 else pre shared_mo else
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if(etat_mo4) then if(garde_mo4) then 0 else pre shared_mo else
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pre shared_mo;
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invalid_mo = init_invalid_mo ->
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if(etat_mo1) then if(garde_mo1) then pre invalid_mo-1 else pre invalid_mo else
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if(etat_mo3) then if(garde_mo3) then pre invalid_mo + pre modified_mo + pre exclusive_mo + pre shared_mo + pre owned_mo -1 else pre invalid_mo else
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if(etat_mo4) then if(garde_mo4) then pre invalid_mo + pre modified_mo + pre exclusive_mo + pre shared_mo + pre owned_mo -1 else pre invalid_mo else
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pre invalid_mo;
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owned_mo = 0 ->
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if(etat_mo1) then if(garde_mo1) then pre owned_mo + pre modified_mo else pre owned_mo else
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if(etat_mo3) then if(garde_mo3) then 0 else pre owned_mo else
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if(etat_mo4) then if(garde_mo4) then 0 else pre owned_mo else
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49
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pre owned_mo;
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50
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tel
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node top( init_invalid_mo : int; etat_mo1, etat_mo2, etat_mo3, etat_mo4 : bool )
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52
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returns ( OK : bool );
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53
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--@ contract guarantees OK;
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54
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var modified_mo, exclusive_mo, shared_mo, invalid_mo, owned_mo: int;
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erreur_mo : bool;
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56
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env : bool;
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let
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( modified_mo, exclusive_mo, shared_mo, invalid_mo, owned_mo, erreur_mo ) =
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moesi(init_invalid_mo, etat_mo1, etat_mo2, etat_mo3, etat_mo4 );
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env = Sofar( excludes4( etat_mo1, etat_mo2, etat_mo3, etat_mo4 ) );
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OK = env => (true ->
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(modified_mo+exclusive_mo+shared_mo+invalid_mo+owned_mo) =
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pre(modified_mo+exclusive_mo+shared_mo+invalid_mo+owned_mo));
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64
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--%MAIN;
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--%PROPERTY OK=true;
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tel
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