From d85de781b4a825fe0d1217e1e8ae5ec81dd70202 Mon Sep 17 00:00:00 2001 From: ericmarin Date: Fri, 5 Jun 2026 16:40:44 +0200 Subject: balanced fanout --- .../double_integrator_epsilon.smtlib | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 examples/double_integrator/double_integrator_epsilon.smtlib (limited to 'examples/double_integrator/double_integrator_epsilon.smtlib') 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) +)) -- cgit v1.2.3