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authormirenn <me@mirenn.dev>2026-03-26 20:28:38 +0100
committermirenn <me@mirenn.dev>2026-03-26 21:27:10 +0100
commit3414dd9a6a412e5e87b19daef6b1c9ab630c749d (patch)
tree80a29ac6b7baee3bbfe4f161fc893fd5948d9409 /examples/xor/xor_epsilon.vnnlib
parent2858539772fafe11b09eb4ea4eafed9d2b2e1905 (diff)
downloadvein-3414dd9a6a412e5e87b19daef6b1c9ab630c749d.tar.gz
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+; 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))