[sv-ac] vacuity examples

Hi,

 

I selected some examples of properties with the coverage I would like to
extract from them.

I consider "next p" as "1 |=> p" and "s_next p" as "1 #=# p", so I don't
have examples for next.

I don't have a good intuition for properties that use until, so
donations will be appreciated. 

 

 

Properties                                             ||
cover I would like to see

========================================================================
=====

a |-> b                                                   ||      a ##0
b, !b

 

not (a |->b)                                            ||      

 

a |-> ##[1:3] b                                        ||      a ##1 b,
a ##2 b a##3 b, !b[*3]

 

not ( a |-> ##[1:3] b)                               ||      a ##1 b[*2]

 

a[*1:3] |->b                                            ||      (a &&
b)[*3], (a && b)[*2] ##1 !a,  (a && b) ##1 !a , !b

 

not(a[*1:3] |->b)                                     ||      (a &&
b)[*2] ##1 (a && !b) 

 

a |=> ((b |=>c) or (d |=> e))                     ||      a ##1 (b && d)
##1 !e, a ##(b && d) ##1 !c, a ##2 (!c && !e), (b && d) ##1 (c&& e)

 

a |=> ((b |=>c) and (d |=> e))                  ||      a ##1 b ##1 c, a
##d ##1 e, a ##2 (!c && !e), (b ##1 !c) or (d ##1 !e)

 

a until b                                                ||      !b, b

 

not (a until b)                                         ||      (!a &&
!b), b

 

always a                                               ||      

 

eventually a                                           ||      !a

 

always eventually a                                ||      !a

 

(always eventually a) -> eventually b       ||      always eventually a
,  always  !b

 

!rst until (rst and next always !rst)           ||      eventually rst 

 

 

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