RE: [sv-ac] 1932 LTL_Formal.0701009.pdf partial review.

From: Bustan, Doron <doron.bustan_at_.....>
Date: Mon Oct 29 2007 - 23:29:43 PDT
Hi Johan,


>> > next[0] p == p (next[0] is needed for the definition of
>> eventually[0:x])
>> > next[n] p == next (next[n-1] p) [n>0]
>> > 
>> > and
>> > s_next[n] p == not next[n] not p [n>0]
>> 
>> [DB:] The reason next[m] starts from 1, is that we want to reserve
>> next[0] as synchronizing operator for multi clock properties. I just
saw
>> a presentation by Dana Fisman on a similar operator in PSL. I am
waiting
>> for the proceeding of the conference HVC07, that should be published
at
>> November 19, to see what she has done.
>
>How should we define 's_eventually [0:m]' and 'always [0:m]'? It seems
>they are ultimately defined in terms of next[0].

Yes that is a problem

Maybe 

's_eventually [0:m] p = 1[*0:m] #-# p'
And 
'always [0:m] p = 1[*0:m] |-> p]'

Note, that in this case p cannot have a different leading clock.

What do you think?

Doron
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Received on Mon Oct 29 23:30:49 2007

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