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authormirenn <me@mirenn.dev>2026-06-05 16:40:44 +0200
committermirenn <me@mirenn.dev>2026-06-10 14:28:22 +0200
commit0c63e81f1f851a07db4cecdc16b95d908f63d0a5 (patch)
treebf7d0539ff7410ca12d53be7a3e5a6530d277530 /examples/ACASXU/ACASXU_epsilon.smtlib
parent840b91f84a926562654c43a93b02fa9c77c6a62b (diff)
downloadvein-0c63e81f1f851a07db4cecdc16b95d908f63d0a5.tar.gz
vein-0c63e81f1f851a07db4cecdc16b95d908f63d0a5.zip
balanced fanout
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+; Epsilon Equivalence for ACASXU
+
+; Constant declaration
+(declare-const X_0 Real)
+(declare-const X_1 Real)
+(declare-const X_2 Real)
+(declare-const X_3 Real)
+(declare-const X_4 Real)
+(declare-const Y_0 Real)
+(declare-const Y_1 Real)
+(declare-const Y_2 Real)
+(declare-const Y_3 Real)
+(declare-const Y_4 Real)
+(declare-const Y_5 Real)
+(declare-const Y_6 Real)
+(declare-const Y_7 Real)
+(declare-const Y_8 Real)
+(declare-const Y_9 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))
+(assert (>= X_2 0.0))
+(assert (<= X_2 1.0))
+(assert (>= X_3 0.0))
+(assert (<= X_3 1.0))
+(assert (>= X_4 0.0))
+(assert (<= X_4 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_5)) 0.1)
+ (> (absolute (- Y_1 Y_6)) 0.1)
+ (> (absolute (- Y_2 Y_7)) 0.1)
+ (> (absolute (- Y_3 Y_8)) 0.1)
+ (> (absolute (- Y_4 Y_9)) 0.1)
+))