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pn2mc:pt_cp_model_checking [2014/11/24 23:29]
jbiernacki [nuXmv]
pn2mc:pt_cp_model_checking [2021/09/23 08:51] (current)
Line 179: Line 179:
  
 <code> <code>
-NuSMV > check_ltlspec+nuXmv > check_ltlspec
 -- specification G ( F p5) is false -- specification G ( F p5) is false
 -- as demonstrated by the following execution sequence -- as demonstrated by the following execution sequence
Line 218: Line 218:
 -- specification G (((((!p0 & !p1) & !p2) & !p3) & !p4) -> ((((p5 | p6) | -- specification G (((((!p0 & !p1) & !p2) & !p3) & !p4) -> ((((p5 | p6) |
 p7) | p8) | p9)) is true p7) | p8) | p9)) is true
-NuSMV > check_ctlspec+nuXmv > check_ctlspec
 -- specification EF p5 is true -- specification EF p5 is true
 -- specification EF p6 is true -- specification EF p6 is true
Line 359: Line 359:
  esac;  esac;
 </code> </code>
----- 
  
 +
 +To verify specified properties of the system, the following LTL formulae were created:
 +
 +  - Consumer do not try to receive data from empty buffer, \\ \\ ''(P3_bufSpace = 0 Λ P4_client = 1) ⇒ ¬X(P5_client = 1)'' \\ \\ 
 +  - Producer do not try to send data to full buffer, \\ \\ ''(P6_bufSpace = 0 Λ P2_factory = 1) ⇒ ¬X(P1_factory = 1)'' \\ \\ 
 +  - There is no possibility of starvation of a consumer, \\ \\ ''GF(P4_client = 1) ⇒ GF(P5_client = 1)'' \\ \\ 
 +  - There is no possibility of starvation of a producer, \\ \\ ''GF(P2_factory = 1) ⇒ GF(P1_factory = 1)'' \\ \\ 
 +  - There are no deadlocks \\ \\ ''GF(P2_factory = 1) Λ GF(P1_factory = 1) Λ GF(P4_client = 1) Λ GF(P5_client = 1)'' \\ \\ 
 +
 +These formulae can be added to the previously generated nuXmv code for the model:
 +
 +<code>
 +LTLSPEC (P3_bufSpace=0 & P4_client=1) -> !X(P5_client=1)
 +LTLSPEC (P6_bufSpace=0 & P2_factory=1) -> !X(P1_factory=1)
 +LTLSPEC G F (P4_client=1) -> G F (P5_client=1)
 +LTLSPEC G F (P2_factory=1) -> G F (P1_factory=1)
 +LTLSPEC G F (P2_factory=1) & G F (P1_factory=1) & G F (P4_client=1) &  G F (P5_client=1)
 +</code>
 +
 +Verification of satisfiability of these formulae can be performed in nuXmv tool:
 +
 +<code>
 +nuXmv > check_ltlspec
 +-- specification ( G ( F P4_client = 1) -> G ( F P5_client = 1)) is true
 +-- specification ( G ( F P2_factory = 1) -> G ( F P1_factory = 1)) is true
 +-- specification ((P3_bufSpace = 0 & P4_client = 1) -> !( X P5_client = 1))
 +is true
 +-- specification ((P6_bufSpace = 0 & P2_factory = 1) -> !( X P1_factory =
 +1)) is true
 +-- specification ((( G ( F P2_factory = 1) & G ( F P1_factory = 1)) & G ( F
 +P4_client = 1)) & G ( F P5_client = 1)) is true
 +</code>
 +----
 ==== CADP ==== ==== CADP ====