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| author | ericmarin <maarin.eric@gmail.com> | 2026-06-05 16:40:44 +0200 |
|---|---|---|
| committer | ericmarin <maarin.eric@gmail.com> | 2026-06-10 14:28:22 +0200 |
| commit | d85de781b4a825fe0d1217e1e8ae5ec81dd70202 (patch) | |
| tree | bf7d0539ff7410ca12d53be7a3e5a6530d277530 /examples/double_integrator/double_integrator_epsilon.smtlib | |
| parent | fcbbc960f43137aa170b78ba0be2d89aec3bc766 (diff) | |
| download | vein-d85de781b4a825fe0d1217e1e8ae5ec81dd70202.tar.gz vein-d85de781b4a825fe0d1217e1e8ae5ec81dd70202.zip | |
balanced fanout
Diffstat (limited to 'examples/double_integrator/double_integrator_epsilon.smtlib')
| -rw-r--r-- | examples/double_integrator/double_integrator_epsilon.smtlib | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/examples/double_integrator/double_integrator_epsilon.smtlib b/examples/double_integrator/double_integrator_epsilon.smtlib new file mode 100644 index 0000000..f5c4ee6 --- /dev/null +++ b/examples/double_integrator/double_integrator_epsilon.smtlib @@ -0,0 +1,22 @@ +; Epsilon 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) +)) |