A sequence is a simple building block in SystemVerilog assertions that can represent certain expressions to aid in creating more complex properties.

Simple Sequence

  
  
module tb;
  	bit a;
  	bit clk;
  
	// This sequence states that a should be high on every posedge clk
  	sequence s_a;
      @(posedge clk) a;
    endsequence
  
  	// When the above sequence is asserted, the assertion fails if 'a'
  	// is found to be not high on any posedge clk
  	assert property(s_a);

      
	always #10 clk = ~clk;
      
	initial begin
      for (int i = 0; i < 10; i++) begin        
        a = $random;
        @(posedge clk);
        
        // Assertion is evaluated in the preponed region and 
        // use $display to see the value of 'a' in that region
        $display("[%0t] a=%0d", $time, a);
      end
      #20 $finish;
    end
endmodule

  
Time (ns) a Result
10 0 FAIL
30 1 PASS
50 1 PASS
70 1 PASS
90 1 PASS
110 1 PASS
130 1 PASS
150 0 FAIL
170 1 PASS
190 1 PASS
Simulation Log

Compiler version P-2019.06-1; Runtime version P-2019.06-1;  Jan 14 06:32 2020
[10] a=0
"testbench.sv", 12: tb.unnamed$$_0: started at 10ns failed at 10ns
	Offending 'a'
[30] a=1
[50] a=1
[70] a=1
[90] a=1
[110] a=1
[130] a=1
[150] a=0
"testbench.sv", 12: tb.unnamed$$_0: started at 150ns failed at 150ns
	Offending 'a'
[170] a=1
[190] a=1
$finish called from file "testbench.sv", line 27.
$finish at simulation time                  210
           V C S   S i m u l a t i o n   R e p o r t 
Time: 210 ns

$rose

The system task $rose is used to detect a positive edge of the given signal. In this case $rose of a indicates that a posedge of a is expected to be seen on every posedge of clk. Because SystemVerilog assertions evaluate in the preponed region, it can only detect value of the given signal in the preponed region. When value of the signal is 0 in the first edge and then 1 on the next edge, a positive edge is assumed to have happened. So, this requires 2 clocks to be identified.

  
  
module tb;
  	bit a;
  	bit clk;
  
	// This sequence states that 'a' should rise on every posedge clk
  	sequence s_a;
      @(posedge clk) $rose(a);
    endsequence
  
  	// When the above sequence is asserted, the assertion fails if 
  	// posedge 'a' is not found on every posedge clk
  	assert property(s_a);

      
	// Rest of the testbench stimulus
endmodule

  

See that a positive edge was detected and the assertion passed at 30ns in the image shown below. This is because value of a is 0 at 10ns and 1 at 30ns upon which the assertion completes and is proven to be successful.

Time (ns) a Transition Result
10 0 FAIL
30 1 0->1 PASS
50 1 FAIL
70 1 FAIL
90 1 FAIL
110 1 FAIL
130 1 FAIL
150 0 1->0 FAIL
170 1 0->1 PASS
190 1 FAIL

The behavior is visible in the simulation log where assertion failed at all times other than 30ns and 170ns.

Simulation Log

Compiler version P-2019.06-1; Runtime version P-2019.06-1;  Jan 14 06:58 2020
[10] a=0
"testbench.sv", 12: tb.unnamed$$_0: started at 10ns failed at 10ns
	Offending '$rose(a)'
[30] a=1
[50] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 50ns failed at 50ns
	Offending '$rose(a)'
[70] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 70ns failed at 70ns
	Offending '$rose(a)'
[90] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 90ns failed at 90ns
	Offending '$rose(a)'
[110] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 110ns failed at 110ns
	Offending '$rose(a)'
[130] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 130ns failed at 130ns
	Offending '$rose(a)'
[150] a=0
"testbench.sv", 12: tb.unnamed$$_0: started at 150ns failed at 150ns
	Offending '$rose(a)'
[170] a=1
[190] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 190ns failed at 190ns
	Offending '$rose(a)'
$finish called from file "testbench.sv", line 27.
$finish at simulation time                  210
           V C S   S i m u l a t i o n   R e p o r t 
Time: 210 ns

$fell

The system task $fell is used to detect negative edge of the given signal. In this case $fell of a indicates that a negedge of a is expected to be seen on every posedge of clk. Because SystemVerilog assertions evaluate in the preponed region, it can only detect value of the given signal in the preponed region. When value of the signal is 1 on the first edge and then 0 on the next edge, a negative edge is assumed to have happened. So, this requires 2 clocks to be identified.

  
  
module tb;
  	bit a;
  	bit clk;
  
	// This sequence states that 'a' should fall on every posedge clk
  	sequence s_a;
      @(posedge clk) $fell(a);
    endsequence
  
  	// When the above sequence is asserted, the assertion fails if 
  	// negedge 'a' is not found on every posedge clk
  	assert property(s_a);

      
	// Rest of the testbench stimulus
endmodule

  

See that a negative edge was detected and the assertion passed at 1500ns in the image shown below. This is because value of a is 1 at 130ns and 0 at 150ns upon which the assertion completes and is proven to be successful.

Time (ns) a Transition Result
10 0 FAIL
30 1 0->1 FAIL
50 1 FAIL
70 1 FAIL
90 1 FAIL
110 1 FAIL
130 1 FAIL
150 0 1->0 PASS
170 1 0->1 FAIL
190 1 FAIL
Simulation Log

Compiler version P-2019.06-1; Runtime version P-2019.06-1;  Jan 14 07:09 2020
[10] a=0
"testbench.sv", 12: tb.unnamed$$_0: started at 10ns failed at 10ns
	Offending '$fell(a)'
[30] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 30ns failed at 30ns
	Offending '$fell(a)'
[50] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 50ns failed at 50ns
	Offending '$fell(a)'
[70] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 70ns failed at 70ns
	Offending '$fell(a)'
[90] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 90ns failed at 90ns
	Offending '$fell(a)'
[110] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 110ns failed at 110ns
	Offending '$fell(a)'
[130] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 130ns failed at 130ns
	Offending '$fell(a)'
[150] a=0
[170] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 170ns failed at 170ns
	Offending '$fell(a)'
[190] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 190ns failed at 190ns
	Offending '$fell(a)'
$finish called from file "testbench.sv", line 27.
$finish at simulation time                  210
           V C S   S i m u l a t i o n   R e p o r t 
Time: 210 ns

$stable

  
  
module tb;
  	bit a;
  	bit clk;
  
	// This sequence states that 'a' should be stable on every clock
	// and should not have posedge/negedge at any posedge clk
  	sequence s_a;
      @(posedge clk) $stable(a);
    endsequence
  
  	// When the above sequence is asserted, the assertion fails if 
  	// 'a' toggles at any posedge clk
  	assert property(s_a);

      
	// Rest of the testbench stimulus
endmodule

  
Time (ns) a Transition Result
10 0 FAIL
30 1 0->1 FAIL
50 1 PASS
70 1 PASS
90 1 PASS
110 1 PASS
130 1 PASS
150 0 1->0 FAIL
170 1 0->1 FAIL
190 1 PASS
Simulation Log

Compiler version P-2019.06-1; Runtime version P-2019.06-1;  Jan 14 07:12 2020
[10] a=0
[30] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 30ns failed at 30ns
	Offending '$stable(a)'
[50] a=1
[70] a=1
[90] a=1
[110] a=1
[130] a=1
[150] a=0
"testbench.sv", 12: tb.unnamed$$_0: started at 150ns failed at 150ns
	Offending '$stable(a)'
[170] a=1
"testbench.sv", 12: tb.unnamed$$_0: started at 170ns failed at 170ns
	Offending '$stable(a)'
[190] a=1
$finish called from file "testbench.sv", line 27.
$finish at simulation time                  210
           V C S   S i m u l a t i o n   R e p o r t 
Time: 210 ns