From d85de781b4a825fe0d1217e1e8ae5ec81dd70202 Mon Sep 17 00:00:00 2001 From: ericmarin Date: Fri, 5 Jun 2026 16:40:44 +0200 Subject: balanced fanout --- examples/xor/xor_epsilon.smtlib | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 examples/xor/xor_epsilon.smtlib (limited to 'examples/xor/xor_epsilon.smtlib') diff --git a/examples/xor/xor_epsilon.smtlib b/examples/xor/xor_epsilon.smtlib new file mode 100644 index 0000000..427243e --- /dev/null +++ b/examples/xor/xor_epsilon.smtlib @@ -0,0 +1,15 @@ +; Epsilon Equivalence for XOR + +; Constant declaration +(declare-const X_0 Real) +(declare-const X_1 Real) +(declare-const Y_0 Real) +(declare-const Y_1 Real) + +; Bounded inputs: X must be 0 or 1 +(assert (or (= X_0 0) (= X_0 1))) +(assert (or (= X_1 0) (= X_1 1))) + +; Violation of epsilon equivalence (epsilon = 0.1) +(define-fun absolute ((x Real)) Real (if (>= x 0) x (- x))) +(assert (> (absolute (- Y_0 Y_1)) 0.1)) -- cgit v1.2.3