What is the best way to check an event occurred in the past in SVA? - system-verilog

Question

I want to check in my design that when signal b get asserted, then signal a should have gotten asserted 3 to 5 cycles before.
I'm looking for the different ways to check that.
Currently I'm using the following logic
sequence s_test();
##1 $rose(a) ##[3:5] 1;
endsequence
property p_test();
##1 $rose(b) |-> s_test.triggered();
Is there a way to check that property without using the sequence triggered mechanism ? I guess I could also use something like $past(a, 3) || ... || $past(a, 5), but that's cumbersome.
Also what's the difference between the sequence triggered and matched mechanism ?

Answer 1

We can have two approaches here: cause then effect or effect because of cause.
Cause then effect approach:
You can use a forward-time-based assertion stating that when s_test is triggered, then b should go high in 1-5 clock period of time window:
s_test.triggered |-> ##[1:5] $rose(b);
Effect then cause approach:
Alternatively, if s_test is a signal, then you can use a glue logic which monitors past 5 values of s_test. Thereafter, the assertion checks that the earlier values of s_test must have atleast 1'b1 when b rises from 0 to 1.
bit[1:5] earlier;
always #(posedge clk) begin
earlier <= {s_test, earlier[1:5]}; // shift for 5 clocks
end
p1_past20: assert property(#(posedge clk)
$rose(b) |-> $countones(earlier) >= 1);
A similar discussion is available here and a reference is over here.

Answer 2

You can use $past something like below.
property test_past;
#(posedge clk)
$rose(b) |-> ##[3:5] $past(a);
endproperty

Answer 3

triggered & matched methods differ for single clock & multi clock sequences.
Both methods show end point of a sequence, but triggered method evaluates to true if the operand sequence has reached it's end point at that particular time and false otherwise.
Whereas matched method detects endpoint of sequence, referenced in multiclocked sequence. So it provides synchronization between 2 sequences and evaluates to true after match, untill arrival of 1st clock tick of destination sequence.
triggered status of a sequence is set in observed region and is persisted through the remainder of the timestep. Whereas matched status of a sequence is set in observed region and is persisted untill the observed region of the arrival of first clock tick of destination sequence after match.