diff options
Diffstat (limited to 'examples/double_integrator/double_integrator_epsilon.vnnlib')
| -rw-r--r-- | examples/double_integrator/double_integrator_epsilon.vnnlib | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/examples/double_integrator/double_integrator_epsilon.vnnlib b/examples/double_integrator/double_integrator_epsilon.vnnlib new file mode 100644 index 0000000..3af9079 --- /dev/null +++ b/examples/double_integrator/double_integrator_epsilon.vnnlib @@ -0,0 +1,22 @@ +; Strict Equivalence for Double Integrator + +; Constant declaration +(declare-const X_0 Real) +(declare-const X_1 Real) +(declare-const Y_0 Real) +(declare-const Y_1 Real) +(declare-const Y_2 Real) +(declare-const Y_3 Real) + +; Bounded inputs: X must be within [0, 1] +(assert (>= X_0 0.0)) +(assert (<= X_0 1.0)) +(assert (>= X_1 0.0)) +(assert (<= X_1 1.0)) + +; Violation of epsilon equivalence (epsilon = 0.1) +(define-fun absolute ((x Real)) Real (if (>= x 0) x (- x))) +(assert (or + (> (absolute (- Y_0 Y_2)) 0.1) + (> (absolute (- Y_1 Y_3)) 0.1) +)) |