Dmitry The issue is the LRM 16.15.8 Nonvacuous evaluations d) An evaluation attempt of a property of the form not property_expr is nonvacuous if, and only if, the underlying evaluation attempt of property_expr is nonvacuous. Question, when is it ever vacuous? a |-> b --> Vacuous success if a == 0. The "not" will negate it and hence: not (a |-> b) --> when"a == 0" is a FAILURE But logically, the intent here is as follows: not (a |-> b) should mean "never the case that (if a==1, b==1)", and if a==0, we don't care". But this is not what "not (a |-> b)" says. It says "never the case that (if a==1, b==1)", and if a==0, It's a ERROR".c Answers to Daniel Mlynek: > <1. rule for or operator e)Results should be also vacuous if both prop1 > and prop2 are vacuous. > > I'm assuming than if prop1 is non-vacuous pass and prop2 is vacuous pass > then result is nonvacuous> > > Ben: But either one or the other satisfy the requirement. Doesn't that > imply both? It's redundant. > > > <4. Operator "not" also introduces ambiguity (for definition see below) - > what should happen if property under not passes vacuously? We are geting a > vacuous fail ? > An evaluation attempt of a property of the form not property_expr is > nonvacuous if, and only if, the underlying evaluation attempt of > property_expr is nonvacuous.> > > Ben: Agree with the ambiguity. The way the LRM stands, I don't see how > the not operator on a property can produce a vacuous result. In "16.13.16 > Case", LRM brings the concept of true vacuous in "…and the evaluation of > the case property statement from that start point succeeds and returns true > (vacuously)." Thus, the not of a property that is vacuous, which is true > vacuous, must be FALSE. Consider the property expression: a |-> b. If > "a==0", property expression is vacuous. But "not(a |-> b)" sates never > the case that if "a" then "b". What happens if "a==0"? we should not > really care, and the not of a vacuous property should result in a vacuous > result. > > The statement "An evaluation attempt of a property of the form not > property_expr is nonvacuous if, and only if, the underlying evaluation > attempt of property_expr is nonvacuous." Seems to imply that result of a not > of vacuous property is vacuous. But vacuous is also considered as "true", > thus not of true is false. > -- This message has been scanned for viruses and dangerous content by MailScanner, and is believed to be clean.Received on Fri Feb 13 21:06:14 2009
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