diff --git a/IncrementalMinimization/results/compare_test_dependency.txt b/IncrementalMinimization/results/compare_test_dependency.txt
new file mode 100644
index 00000000..dc40c5c2
--- /dev/null
+++ b/IncrementalMinimization/results/compare_test_dependency.txt
@@ -0,0 +1,2145 @@
+initial states, final states, transition count, predicate count, minterm count,incremental time, standard time, Moore time, upfront incremental time, recursive symbolic incremental, With Dependency check 
+25, 17, 98, 12, 6, 3.083414, 1.801721, 41.831269, 6.587288, 51.755803, 1.521817
+35, 25, 89, 36, 19, 1.867599, 1.47421, 6.8804, 22.325192, 1.811582, 1.695383
+14, 11, 28, 18, 10, 0.26178, 0.272577, 1.201374, 0.63659, 0.354437, 0.207179
+10, 9, 23, 16, 8, 0.182407, 0.283235, 0.472892, 0.354305, 0.31588, 0.193617
+15, 13, 28, 14, 7, 0.259573, 0.230216, 1.239404, 0.40921, 0.228887, 0.198846
+4, 3, 5, 3, 2, 0.059064, 0.065858, 0.06962, 0.075864, 0.051219, 0.046358
+5, 3, 9, 3, 2, 0.085784, 0.077345, 0.074469, 0.095567, 0.071466, 0.070522
+8, 4, 20, 6, 4, 0.169208, 0.143952, 0.194766, 0.255384, 0.173764, 0.146291
+5, 3, 11, 4, 3, 0.093727, 0.091732, 0.088047, 0.120335, 0.082422, 0.079789
+7, 3, 19, 4, 3, 0.182648, 0.115739, 0.272118, 0.315342, 0.218149, 0.185118
+17, 12, 41, 21, 11, 0.387972, 0.365872, 2.343221, 1.10624, 0.364056, 0.261307
+5, 5, 8, 3, 2, 0.049939, 0.085252, 0.092715, 0.073587, 0.04687, 0.044769
+3, 2, 5, 3, 2, 0.07041, 0.062939, 0.064154, 0.079739, 0.049845, 0.048399
+4, 3, 7, 3, 2, 0.058072, 0.077575, 0.053111, 0.070355, 0.05347, 0.050195
+24, 24, 49, 6, 3, 0.331232, 0.558951, 4.517865, 0.469785, 0.351828, 0.418794
+15, 13, 28, 8, 5, 0.181017, 0.246146, 1.636481, 0.312912, 0.166362, 0.152672
+31, 8, 103, 13, 7, 1.167243, 0.806035, 5.726161, 1.870822, 1.232675, 0.981666
+3, 2, 5, 3, 2, 0.075918, 0.054511, 0.242917, 0.056903, 0.043672, 0.037941
+5, 4, 7, 3, 2, 0.05282, 0.059223, 0.057715, 0.059747, 0.047756, 0.044957
+1, 1, 1, 1, 1, 0.012714, 0.001191, 0.006777, 0.009761, 0.006097, 0.00549
+4, 3, 7, 3, 2, 0.056572, 0.067891, 0.037177, 0.060242, 0.052262, 0.043337
+10, 7, 23, 10, 5, 0.145541, 0.148904, 0.268953, 0.263631, 0.215058, 0.127035
+4, 3, 7, 5, 3, 0.057445, 0.066948, 0.068359, 0.071082, 0.057769, 0.044977
+111, 21, 531, 24, 10, 10.217928, 9.366745, 63.654503, 22.27817, 23.730001, 26.080375
+1, 1, 1, 1, 1, 0.019039, 0.001451, 0.001581, 0.009454, 0.004866, 0.004617
+3, 3, 4, 3, 2, 0.080397, 0.083196, 0.088823, 0.030872, 0.02012, 0.018922
+15, 14, 36, 14, 7, 0.352458, 0.264825, 0.474999, 0.672164, 0.230202, 0.230902
+10, 10, 21, 10, 5, 0.0993, 0.132821, 0.175751, 0.17565, 0.081192, 0.090143
+4, 4, 6, 5, 3, 0.031641, 0.050479, 0.035445, 0.043051, 0.025419, 0.023452
+1, 1, 1, 1, 1, 0.007181, 0.001229, 0.001546, 0.007875, 0.00461, 0.0039
+35, 9, 109, 28, 21, 0.706191, 0.562157, 3.367491, 2.714594, 0.844895, 0.771116
+10, 9, 24, 5, 3, 0.155441, 0.175147, 0.197711, 0.311325, 0.129818, 0.116446
+6, 6, 10, 9, 5, 0.040725, 0.073978, 0.074899, 0.081479, 0.034506, 0.032974
+13, 9, 29, 13, 6, 0.129459, 0.162083, 0.369894, 0.218566, 0.113636, 0.110343
+36, 17, 173, 26, 11, 0.978196, 0.901052, 19.848607, 5.448693, 1.137813, 1.039505
+20, 13, 46, 20, 10, 0.326268, 0.333343, 0.970229, 0.701603, 0.256568, 0.21096
+44, 18, 161, 27, 10, 1.221908, 1.769901, 7.347177, 3.041911, 1.597098, 1.554597
+7, 5, 14, 5, 3, 0.067226, 0.0918, 0.079269, 0.10153, 0.05783, 0.052918
+10, 8, 22, 9, 5, 0.079172, 0.127416, 0.223491, 0.126412, 0.070594, 0.070682
+48, 39, 167, 31, 10, 1.053044, 1.149961, 8.074393, 2.773284, 1.597537, 1.679291
+9, 6, 16, 9, 5, 0.110515, 0.161243, 0.092278, 0.142907, 0.087582, 0.081442
+7, 5, 14, 5, 3, 0.060676, 0.121716, 0.103419, 0.106775, 0.067622, 0.080901
+40, 15, 171, 30, 16, 0.987076, 1.074551, 7.949029, 2.577838, 1.136017, 1.089883
+10, 7, 26, 11, 6, 0.170378, 0.19518, 0.22123, 0.258648, 0.132785, 0.1336
+121, 56, 389, 45, 14, 4.860433, 2.93655, 75.775162, 13.997996, 10.843766, 11.099328
+61, 40, 147, 40, 14, 0.980839, 1.140622, 26.920928, 2.975653, 1.282102, 1.408064
+917, 114, 5506, 97, 36, 21105.071647, 88.356338, 14993.60179, 29162.31939, 179314.013214, 184071.060237
+64, 35, 177, 36, 13, 1.2619, 1.599032, 11.67045, 3.889756, 1.588971, 1.698679
+35, 22, 97, 23, 12, 0.384114, 0.511425, 4.985089, 1.037872, 0.410767, 0.420882
+62, 35, 147, 35, 13, 0.904138, 0.774594, 9.212232, 2.994161, 1.137477, 1.1463
+68, 42, 157, 42, 14, 1.086986, 0.920323, 11.055824, 3.091397, 2.089515, 2.026117
+68, 42, 157, 42, 14, 1.212621, 0.859125, 11.7133, 3.072428, 2.089297, 21.994986
+68, 42, 157, 38, 13, 1.113874, 0.936567, 10.79665, 3.646023, 2.069152, 2.024523
+16, 10, 36, 13, 6, 0.163329, 0.263132, 0.502368, 0.25346, 0.128873, 0.141172
+17, 11, 35, 15, 7, 0.146646, 0.217093, 0.530287, 0.251809, 0.118974, 0.110734
+65, 30, 150, 36, 13, 1.090796, 0.750768, 10.016404, 3.243419, 1.759672, 1.766238
+68, 34, 152, 39, 14, 1.12247, 0.860307, 10.167726, 2.748623, 1.882263, 1.964147
+50, 30, 115, 33, 11, 0.645585, 0.629412, 4.567401, 2.066941, 0.840045, 0.815905
+58, 31, 125, 31, 11, 0.699203, 0.666796, 7.934858, 2.236385, 0.926343, 0.915389
+15, 11, 28, 7, 4, 0.114122, 0.135848, 0.338157, 0.14543, 0.105086, 0.101982
+23, 17, 53, 20, 13, 0.427217, 0.327062, 0.630693, 1.808347, 0.489647, 0.533588
+44, 41, 111, 16, 8, 0.447202, 0.586349, 4.253705, 1.286586, 0.602249, 0.532624
+1, 1, 1, 1, 1, 0.008236, 0.017773, 0.003745, 0.007165, 0.0032, 0.002436
+55, 31, 155, 30, 12, 0.82702, 0.687366, 16.414108, 2.057532, 1.055161, 1.051916
+534, 5, 3367, 13, 8, 41.077217, 9.727982, 2187.203522, 67.605804, 89.922468, 103.548857
+29, 4, 58, 2, 2, 0.306368, 0.247525, 0.821882, 0.406475, 0.285261, 0.279292
+154, 114, 635, 75, 21, 13.926701, 4.680043, 92.605546, 134.428205, 85.327619, 99.115704
+23, 17, 53, 23, 12, 0.19656, 0.287987, 0.997889, 0.809067, 0.20371, 0.231541
+43, 35, 115, 30, 14, 0.566802, 0.688718, 4.616314, 2.293653, 0.594448, 0.604438
+44, 17, 179, 32, 14, 1.182141, 1.069859, 8.896069, 5.344001, 1.280221, 1.440176
+43, 34, 116, 30, 14, 0.60133, 0.775017, 4.066251, 2.432847, 0.715315, 0.779573
+38, 27, 86, 36, 18, 0.406571, 0.465258, 1.954496, 1.808734, 0.581368, 0.576969
+22, 12, 60, 10, 4, 0.358495, 0.294975, 0.452231, 0.499202, 0.383627, 0.44634
+14, 12, 28, 10, 6, 0.076939, 0.129184, 0.45309, 0.187058, 0.071488, 0.067274
+37, 18, 106, 21, 9, 0.535216, 0.496111, 3.274058, 1.37768, 0.590944, 0.622285
+15, 12, 33, 17, 7, 0.102859, 0.139227, 0.427976, 0.225667, 0.10805, 0.102626
+20, 15, 42, 21, 8, 0.144961, 0.205831, 1.147516, 0.294234, 0.13607, 0.14911
+9, 8, 17, 12, 6, 0.055002, 0.108116, 0.155197, 0.099367, 0.083881, 0.065323
+38, 20, 81, 32, 11, 0.444362, 0.450418, 2.050372, 1.076428, 0.543753, 0.543863
+44, 21, 107, 16, 8, 0.575232, 0.51112, 2.99431, 1.050487, 0.724387, 0.69931
+20, 15, 42, 21, 8, 0.12741, 0.218283, 0.569596, 0.328309, 0.162242, 0.143945
+18, 17, 35, 12, 7, 0.09706, 0.18265, 0.875606, 0.248518, 0.111735, 0.104758
+27, 22, 57, 26, 10, 0.19607, 0.378301, 9.848738, 0.462554, 0.195691, 0.192295
+20, 17, 35, 9, 5, 0.104626, 0.199533, 0.989128, 0.200266, 0.100119, 0.12339
+56, 50, 151, 16, 8, 0.823566, 0.920572, 5.35781, 4.308707, 1.336939, 1.308629
+13, 11, 25, 20, 11, 0.094823, 0.135483, 0.247994, 0.293104, 0.067936, 0.090743
+143, 12, 627, 96, 26, 13.712527, 2.673799, 82.857805, 46.499866, 52.94321, 56.805437
+179, 94, 392, 48, 25, 7.383489, 3.178812, 111.054112, 60.164195, 44.78458, 47.071225
+19, 16, 44, 14, 8, 0.151239, 0.256973, 1.309943, 0.366881, 0.204625, 0.203896
+1, 1, 1, 1, 1, 0.00379, 0.001604, 0.001701, 0.00551, 0.002081, 0.001756
+21, 15, 50, 17, 11, 0.188372, 0.29317, 1.498977, 0.539814, 0.173371, 0.208603
+18, 17, 38, 12, 7, 0.117862, 0.176162, 0.957922, 0.25861, 0.113644, 0.137753
+17, 16, 36, 12, 7, 0.105196, 0.209446, 0.92568, 0.242898, 0.120891, 0.133861
+34, 27, 133, 33, 15, 0.689051, 0.632181, 3.227111, 2.383789, 0.751281, 0.771774
+61, 31, 126, 18, 9, 0.702231, 0.649026, 6.311889, 1.821917, 0.821115, 0.899918
+12, 11, 23, 12, 7, 0.074951, 0.100749, 0.274975, 0.120874, 0.063264, 0.079262
+27, 23, 55, 25, 11, 0.18565, 0.264729, 2.863263, 0.38374, 0.177742, 0.189599
+35, 33, 75, 17, 8, 0.33506, 0.441538, 3.66481, 0.831857, 0.319479, 0.313023
+113, 55, 651, 23, 12, 6.854784, 2.82295, 68.507557, 12.70435, 33.785225, 17.642507
+22, 16, 51, 23, 8, 0.221887, 0.269765, 1.424087, 0.425914, 0.178971, 0.207708
+1024, 1024, 3070, 4, 3, 7398.113053, 106.601335, 3468.93286, 38843.171548, 144001.819286, 147428.11539
+1, 1, 1, 1, 1, 0.004491, 0.002016, 0.001683, 0.033038, 0.002111, 0.001524
+17, 16, 37, 20, 9, 0.10213, 0.199001, 0.523477, 0.268977, 0.104595, 0.097656
+9, 7, 17, 6, 3, 0.048416, 0.108526, 0.08922, 0.092949, 0.051075, 0.052468
+261, 22, 779, 5, 3, 126.869147, 6.084855, 347.673908, 787.41474, 2703.574839, 2724.341101
+43, 25, 99, 31, 9, 0.745945, 0.759017, 1.325854, 1.626979, 1.114344, 1.044413
+36, 32, 102, 19, 10, 0.327969, 0.393455, 4.090607, 0.935781, 0.353604, 0.351256
+36, 6, 126, 7, 4, 0.82894, 0.607785, 2.043327, 1.481555, 1.01478, 0.982569
+14, 9, 37, 14, 7, 0.167043, 0.161243, 0.432231, 0.625828, 0.152672, 0.202661
+1, 1, 1, 1, 1, 0.003912, 0.023979, 0.001482, 0.004327, 0.001939, 0.001601
+9, 2, 36, 4, 4, 0.143384, 0.155251, 0.15756, 0.341395, 0.162397, 0.166023
+8, 7, 17, 10, 5, 0.100777, 0.102884, 0.141097, 0.166144, 0.060191, 0.073527
+10, 3, 34, 6, 4, 0.14743, 0.152953, 0.188445, 0.236468, 0.152431, 0.122421
+38, 31, 80, 14, 5, 0.33443, 0.353286, 2.680435, 0.775676, 0.390078, 0.392303
+432, 98, 1826, 18, 8, 349.268414, 13.376922, 1169.805766, 4562.729971, 12008.866866, 12506.733885
+25, 25, 51, 19, 9, 0.12252, 0.220927, 1.910082, 0.405758, 0.137572, 0.174716
+37, 30, 79, 11, 5, 0.412281, 0.24746, 1.428896, 1.220176, 0.483483, 0.489987
+23, 23, 47, 12, 6, 0.111553, 0.199185, 1.112266, 0.29565, 0.144002, 0.115852
+1, 1, 1, 1, 1, 0.00245, 0.001104, 9.95E-4, 0.003109, 0.001649, 0.001527
+19, 18, 42, 9, 5, 0.109845, 0.186883, 0.930041, 0.250196, 0.117172, 0.112199
+28, 17, 64, 18, 10, 0.199041, 0.235197, 2.730139, 0.534521, 0.276862, 0.198305
+90, 57, 247, 28, 14, 1.746874, 1.027538, 38.833935, 5.498335, 2.884778, 2.939564
+1, 1, 1, 1, 1, 0.003892, 0.015949, 0.001554, 0.004141, 0.001943, 0.001434
+1, 1, 1, 1, 1, 0.002289, 7.53E-4, 9.46E-4, 0.003193, 0.001879, 0.001519
+85, 1, 777, 27, 17, 3.278737, 2.419927, 43.423625, 10.655544, 3.452706, 3.373325
+12, 12, 24, 6, 3, 0.070124, 0.127648, 0.243421, 0.124697, 0.067733, 0.065726
+40, 25, 120, 24, 9, 0.710169, 0.551533, 4.500328, 1.346742, 0.538963, 0.52703
+43, 19, 130, 7, 5, 0.432085, 0.474999, 9.359213, 0.823376, 0.406855, 0.495415
+93, 28, 300, 32, 10, 3.098051, 1.323763, 22.243858, 9.83171, 15.409663, 14.826045
+197, 49, 532, 33, 10, 16.850324, 2.207401, 58.531279, 89.504007, 242.783037, 248.269136
+83, 32, 193, 38, 11, 1.609368, 0.778716, 12.593021, 3.919917, 3.129464, 3.262266
+17, 1, 50, 7, 4, 0.204846, 0.147057, 0.290081, 0.337453, 0.218385, 0.214281
+89, 21, 690, 28, 14, 7.160411, 2.710962, 49.857291, 54.572549, 15.805104, 15.648137
+14, 11, 26, 5, 3, 0.115761, 0.13093, 0.207637, 0.133395, 0.078286, 0.073832
+184, 21, 472, 4, 3, 4.15934, 1.114235, 181.082106, 4.956021, 61.671865, 8.070821
+33, 23, 103, 29, 12, 0.474496, 0.458223, 2.324223, 1.548885, 0.605664, 0.57891
+154, 73, 753, 51, 14, 34.813138, 4.200114, 124.17435, 131.649918, 133.088793, 132.476456
+47, 34, 111, 40, 19, 9.269628, 0.422025, 4.04367, 2.196915, 0.721822, 0.709737
+431, 184, 2895, 76, 22, 587.52379, 23.567784, 1056.614201, 2848.627108, 10354.144644, 11160.975207
+224, 20, 3195, 72, 32, 74.712934, 18.367811, 4178.485695, 157.041245, 342.942283, 341.760724
+354, 62, 2621, 78, 32, 469.861407, 13.412601, 1199.105346, 3033.256448, 5861.231051, 5933.595023
+24, 20, 51, 31, 17, 0.158299, 0.172183, 1.018761, 0.770831, 0.169952, 0.16099
+33, 17, 117, 25, 13, 0.53087, 0.494681, 3.985547, 9.112884, 0.608099, 0.565648
+29, 14, 98, 20, 9, 0.68259, 0.517195, 2.176708, 2.500002, 0.728971, 0.682611
+19, 12, 44, 18, 9, 0.139116, 0.149352, 0.606223, 0.565545, 0.143184, 0.140884
+8, 5, 20, 7, 4, 0.077737, 0.09317, 0.10848, 0.166565, 0.086479, 0.085218
+27, 11, 74, 12, 5, 0.359732, 0.34317, 0.692047, 0.607459, 0.364775, 0.417456
+6, 5, 10, 3, 2, 0.024489, 0.034096, 0.035357, 0.057461, 0.037656, 0.021612
+41, 18, 102, 14, 8, 0.334899, 0.254201, 4.479255, 0.654064, 0.346613, 0.40142
+9, 7, 32, 11, 7, 0.082125, 0.087896, 0.150092, 0.210133, 0.078253, 0.079107
+11, 9, 32, 17, 10, 0.070884, 0.083026, 0.152, 0.22129, 0.076238, 0.070406
+12, 7, 21, 3, 2, 0.134952, 0.060558, 0.152853, 0.202239, 0.101833, 0.098648
+47, 12, 166, 15, 8, 1.030335, 0.524751, 3.730932, 2.055571, 2.115801, 2.102017
+6, 3, 16, 4, 3, 0.044173, 0.048711, 0.041545, 0.067502, 0.040177, 0.037888
+47, 27, 96, 10, 6, 0.444163, 0.380202, 3.362421, 1.072977, 0.628312, 0.635072
+17, 15, 38, 12, 7, 0.099816, 0.14307, 0.801536, 0.318594, 0.098625, 0.096396
+20, 19, 44, 12, 6, 0.151524, 0.180581, 0.708785, 0.405026, 0.183483, 0.116326
+22, 18, 51, 27, 10, 0.143325, 0.180518, 1.391568, 0.367747, 0.142703, 0.142313
+18, 15, 42, 18, 7, 0.16588, 0.144011, 1.10913, 0.408764, 0.122588, 0.141734
+22, 16, 50, 21, 8, 0.15934, 0.26639, 1.228688, 0.331835, 0.157364, 0.156425
+56, 18, 139, 27, 17, 1.140788, 0.527453, 10.460327, 2.813962, 1.050649, 1.040616
+48, 39, 102, 51, 27, 0.450944, 0.428676, 6.534586, 2.139875, 0.674565, 0.692098
+26, 11, 50, 17, 9, 0.195322, 0.226502, 0.52509, 0.536633, 0.285005, 0.210799
+9, 7, 17, 12, 7, 0.044299, 0.05302, 0.066318, 0.139743, 0.040202, 0.038824
+123, 40, 245, 27, 13, 3.42869, 0.96787, 22.033965, 17.11338, 7.821597, 8.114787
+16, 16, 32, 10, 5, 0.084288, 0.134321, 0.725972, 0.203158, 0.093757, 0.091716
+33, 27, 103, 15, 7, 0.366359, 0.387941, 4.461595, 1.130976, 0.439808, 0.404223
+28, 18, 70, 29, 11, 0.329084, 0.283109, 1.157633, 0.88618, 0.419301, 0.455386
+8, 7, 15, 10, 7, 0.038452, 0.052663, 0.12191, 0.096138, 0.03443, 0.03219
+33, 18, 104, 22, 10, 0.454866, 0.349685, 3.615303, 1.024132, 0.528902, 0.466428
+47, 25, 125, 17, 8, 0.743891, 0.532307, 3.695414, 1.664264, 1.422593, 1.274831
+21, 17, 43, 10, 5, 0.178213, 0.178882, 1.334759, 0.291145, 0.139092, 0.173711
+24, 12, 45, 15, 9, 0.164092, 0.163235, 0.495549, 0.402198, 0.179976, 0.195675
+173, 71, 425, 6, 3, 38.192409, 3.24461, 55.611522, 117.893756, 281.555091, 251.722865
+95, 64, 249, 8, 4, 10.030051, 1.504584, 116.00221, 245.729605, 23.89454, 31.750595
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diff --git a/IncrementalMinimization/results/graph_dependency_check.png b/IncrementalMinimization/results/graph_dependency_check.png
new file mode 100644
index 00000000..d8ce07a5
Binary files /dev/null and b/IncrementalMinimization/results/graph_dependency_check.png differ
diff --git a/IncrementalMinimization/src/minimization/incremental/IncrWithDependencyChecks.java b/IncrementalMinimization/src/minimization/incremental/IncrWithDependencyChecks.java
new file mode 100644
index 00000000..a8ea1310
--- /dev/null
+++ b/IncrementalMinimization/src/minimization/incremental/IncrWithDependencyChecks.java
@@ -0,0 +1,203 @@
+package minimization.incremental;
+
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.Collection;
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.List;
+import java.util.Stack;
+
+import minimization.incremental.IncrementalMinimization.EquivTest;
+
+import org.sat4j.specs.TimeoutException;
+
+import structures.DisjointSets;
+import theory.BooleanAlgebra;
+import automata.sfa.SFA;
+import automata.sfa.SFAInputMove;
+
+public class IncrWithDependencyChecks<P,S> extends IncrementalMinimization<P,S>
+{
+
+	protected class EquivTestDependency extends EquivTest //tests for equality of two given states in the automata
+	{
+		protected class Dependencies
+		{
+			private HashMap<List<Integer>,ArrayList<List<Integer>>> dependencies;
+			private HashSet<List<Integer>> satisfiedDeps;
+			
+			public Dependencies()
+			{
+				this.dependencies = new HashMap<List<Integer>,ArrayList<List<Integer>>>();
+				this.satisfiedDeps = new HashSet<List<Integer>>();
+			}
+			
+			public void addDependency(List<Integer> pair, List<Integer> dependency)
+			{
+				if(dependencies.containsKey(dependency) && !pair.equals(dependency))
+				{
+					ArrayList<List<Integer>> addDependencyList = dependencies.get(dependency);
+					if(!dependencies.containsKey(pair))
+					{
+						dependencies.put(pair, new ArrayList<List<Integer>>());
+					}
+					ArrayList<List<Integer>> currentDeps = dependencies.get(pair);
+					for(List<Integer> depPair : addDependencyList)
+					{
+						if(!satisfiedDeps.contains(depPair))
+						{
+							currentDeps.add(depPair);
+							assert(dependencies.get(pair).contains(depPair)); //TODO: remove
+						}
+					}
+				}
+				else if(!satisfiedDeps.contains(dependency))
+				{
+					if(!dependencies.containsKey(pair))
+					{
+						dependencies.put(pair, new ArrayList<List<Integer>>());
+					}
+					dependencies.get(pair).add(dependency);
+				}
+			}
+			
+			public void addAllDependencies(List<Integer> pair, ArrayList<List<Integer>> dpairs)
+			{
+				for(List<Integer> dpair : dpairs)
+				{
+					addDependency(pair, dpair);
+				}
+			}
+			
+			public void satisfyDependency(List<Integer> dependency)
+			{
+				satisfiedDeps.add(dependency);
+			}
+			
+			public void removeDependency(List<Integer> pair, List<Integer> dependency)
+			{
+				dependencies.remove(pair, dependency);
+				satisfyDependency(dependency);
+			}
+			
+			public ArrayList<List<Integer>> getDependencies(List<Integer> pair)
+			{
+				return dependencies.get(pair);
+			}
+			
+			public boolean isIndependent(List<Integer> pair)
+			{
+				if(dependencies.containsKey(pair))
+				{
+					ArrayList<List<Integer>> pairDependencies = dependencies.get(pair);
+					for(int i=0; i<pairDependencies.size(); i++)
+					{
+						if(!satisfiedDeps.contains(pairDependencies.get(i)))
+						{
+							return false;
+						}
+						else
+						{
+							pairDependencies.remove(i);
+						}
+					}
+					assert(pairDependencies.isEmpty());
+					assert(dependencies.get(pair).isEmpty());
+					return true;
+				}
+				return false;
+			}
+		}
+		
+		public EquivTestDependency (DisjointSets<Integer> equivClasses, HashSet<List<Integer>> equiv, 
+				HashSet<List<Integer>> path)
+		{
+			super(equivClasses, equiv, path);
+		}
+		
+		public boolean isEquiv(Integer pStart, Integer qStart) throws TimeoutException
+		{
+			if (isKnownNotEqual(pStart,qStart))
+			{
+				return false;
+			}
+			EquivRecord start = new EquivRecord(pStart,qStart,path);
+			Stack<EquivRecord> testStack = new Stack<EquivRecord>();
+			testStack.add(start);
+			Dependencies deps = new Dependencies();
+			while (!testStack.isEmpty())
+			{
+				EquivRecord curEquivTest = testStack.pop();
+				Integer p = curEquivTest.pState;
+				Integer q = curEquivTest.qState;
+				HashSet<List<Integer>> curPath = curEquivTest.curPath;
+				List<Integer> pair = normalize(p,q);
+				HashSet<List<Integer>> newPath = new HashSet<List<Integer>>(curPath);
+				newPath.add(pair);
+				Collection<SFAInputMove<P,S>> outp = new ArrayList<SFAInputMove<P,S>>(aut.getInputMovesFrom(p));
+				Collection<SFAInputMove<P,S>> outq = new ArrayList<SFAInputMove<P,S>>(aut.getInputMovesFrom(q));
+				while(!outp.isEmpty() && !outq.isEmpty())
+				{			
+					List<SFAInputMove<P,S>> nonDisjointGuards = findNonDisjointMoves(outp, outq);
+					SFAInputMove<P,S> pMove = nonDisjointGuards.get(0);
+					SFAInputMove<P,S> qMove = nonDisjointGuards.get(1);
+					Integer pNextClass = equivClasses.find(pMove.to);
+					Integer qNextClass = equivClasses.find(qMove.to);
+					List<Integer> nextPair = normalize(pNextClass, qNextClass);
+					if(!pNextClass.equals(qNextClass) && !equiv.contains(nextPair))
+					{
+						if(isKnownNotEqual(pNextClass,qNextClass))
+						{
+							this.path = newPath;
+							return false;
+						}
+						if (!newPath.contains(nextPair))
+						{
+							equiv.add(nextPair); 
+							EquivRecord nextTest = new EquivRecord(pNextClass, qNextClass, newPath);
+							testStack.push(nextTest);
+							deps.addDependency(pair, nextPair);
+						}
+					}
+					else if(equiv.contains(nextPair))
+					{
+						deps.addDependency(pair, nextPair);
+					}
+					outp.remove(pMove);
+					outq.remove(qMove);
+					P newPGuard = ba.MkAnd(pMove.guard, ba.MkNot(qMove.guard));
+					if (ba.IsSatisfiable(newPGuard))
+					{
+						outp.add(new SFAInputMove<P,S>(pMove.from, pMove.to, newPGuard));
+					}
+					P newQGuard = ba.MkAnd(qMove.guard, ba.MkNot(pMove.guard));
+					if (ba.IsSatisfiable(newQGuard))
+					{
+						outq.add(new SFAInputMove<P,S>(qMove.from, qMove.to, newQGuard));
+					}
+				}
+				deps.satisfyDependency(pair);
+				if(deps.isIndependent(pair))
+				{
+					equivClasses.union(p,q);
+				}
+			}
+			equiv.add(normalize(pStart, qStart));
+			return true;
+		}
+	}
+	
+	public IncrWithDependencyChecks(SFA<P,S> aut, BooleanAlgebra<P,S> ba) throws TimeoutException
+	{
+		super(aut,ba);
+	}
+	
+	@Override
+	protected EquivTest makeEquivTest(DisjointSets<Integer> equivClasses)
+	{
+		HashSet<List<Integer>> equiv = new HashSet<List<Integer>>(num_pairs,0.9f);
+		HashSet<List<Integer>> path = new HashSet<List<Integer>>(num_pairs,0.9f);
+		return new EquivTestDependency(equivClasses, equiv, path);
+	}
+}
diff --git a/IncrementalMinimization/src/minimization/incremental/IncrementalMinimization.java b/IncrementalMinimization/src/minimization/incremental/IncrementalMinimization.java
index 4d5b0ffa..ce009afa 100644
--- a/IncrementalMinimization/src/minimization/incremental/IncrementalMinimization.java
+++ b/IncrementalMinimization/src/minimization/incremental/IncrementalMinimization.java
@@ -31,9 +31,9 @@ protected class EquivTest //tests for equality of two given states in the automa
 	{
 		protected class EquivRecord
 		{
-			public Integer pState;
-			public Integer qState;
-			public HashSet <List<Integer>> curPath;
+			public final Integer pState;
+			public final Integer qState;
+			public final HashSet <List<Integer>> curPath;
 			
 			public EquivRecord(Integer p, Integer q, HashSet<List<Integer>> curPath)
 			{
diff --git a/IncrementalMinimization/src/test/TestIncrementalMinimization.java b/IncrementalMinimization/src/test/TestIncrementalMinimization.java
index ba144a5b..9ec04df1 100644
--- a/IncrementalMinimization/src/test/TestIncrementalMinimization.java
+++ b/IncrementalMinimization/src/test/TestIncrementalMinimization.java
@@ -274,8 +274,8 @@ public void testCompare() throws TimeoutException, IOException
 			Assert.assertTrue(SFA.areEquivalent(upfrontMinAut, stdMinAut, ba));
 			System.out.println("Upfront Incremental minimized.");
 			
-			//BFS incremental
-			System.out.println("Starting BFS incremental");
+			//recursive incremental
+			System.out.println("Starting Recursive incremental w/ dependency check");
 			long recStart = System.nanoTime();
 			SFA<CharPred, Character> recursiveMinAut;
 			try
@@ -302,6 +302,35 @@ public void testCompare() throws TimeoutException, IOException
 			}
 			Assert.assertTrue(SFA.areEquivalent(recursiveMinAut, incrMinAut, ba));
 			Assert.assertEquals(recursiveMinAut.stateCount(), incrMinAut.stateCount());
+			
+			//standard incremental w/ dependency check
+			System.out.println("Starting standard incremental w/ dependency check");
+			long depStart = System.nanoTime();
+			SFA<CharPred, Character> depMinAut;
+			try
+			{
+				IncrementalRecursive<CharPred,Character> incrDep = new IncrementalRecursive<CharPred,Character>(aut, ba);
+				depMinAut = incrDep.minimize();
+			}
+			catch(TimeoutException e)
+			{
+				System.out.println("Skipping because of Timeout Exception"); //TODO: does this come up?
+				continue;
+			}
+			Double depTime = ((double)(System.nanoTime() - depStart)/1000000);
+			Assert.assertTrue(depMinAut.stateCount() <= stdMinAut.stateCount());
+			try
+			{
+				Assert.assertTrue(SFA.areEquivalent(depMinAut, stdMinAut, ba));
+			}
+			catch(AssertionError e)
+			{
+				System.out.println(recursiveMinAut);
+				System.out.println(stdMinAut);
+				throw e;
+			}
+			Assert.assertTrue(SFA.areEquivalent(depMinAut, incrMinAut, ba));
+			Assert.assertEquals(depMinAut.stateCount(), incrMinAut.stateCount());
 	
 			String initialStateCount = Integer.toString(aut.stateCount());
 			String transCount = Integer.toString(aut.getTransitionCount());
@@ -316,17 +345,18 @@ public void testCompare() throws TimeoutException, IOException
 			ArrayList<CharPred> predList = new ArrayList<CharPred>(predSet);
 			String mintermCount = Integer.toString(ba.GetMinterms(predList).size());
 			
-			String message = String.format("%s, %s, %s, %s, %s, %s, %s, %s, %s, %s",
+			String message = String.format("%s, %s, %s, %s, %s, %s, %s, %s, %s, %s, %s",
 					initialStateCount, finalStateCount, transCount, predCount, mintermCount,
 					Double.toString(incrTime), Double.toString(stdTime), Double.toString(mooreTime),
-					Double.toString(upfrontTime), Double.toString(recTime));
+					Double.toString(upfrontTime), Double.toString(recTime), Double.toString(depTime));
 			System.out.println(message);
 			messageList.add(message);
 		}
 		FileOutputStream file = new FileOutputStream("compare_test.txt");
 		Writer writer = new BufferedWriter(new OutputStreamWriter(file));
 		writer.write("initial states, final states, transition count, predicate count, minterm count," +
-				"incremental time, standard time, Moore time, upfront incremental time, recursive symbolic incremental \n");
+				"incremental time, standard time, Moore time, upfront incremental time, " +
+				"recursive symbolic incremental, With Dependency check \n");
 		for (String msg : messageList)
 		{
 			writer.write(msg + "\n");
@@ -334,7 +364,7 @@ public void testCompare() throws TimeoutException, IOException
 		writer.close();
 	}
 	
-	@Test
+	//@Test
 	public void testBudget() throws TimeoutException, IOException
 	{
 		//Similar to Regex test, but incremental minimization only given as long as 
@@ -505,7 +535,7 @@ private Double linearInterpolate(Integer x, Integer x0, Integer x1, Double y0, D
 		return y0 + (x-x0)*slope;
 	}
 	
-	@Test
+	//@Test
 	public void testRecord() throws IOException
 	{
 		//TODO: cleanup + document
@@ -741,7 +771,7 @@ record = incrMin.getRecord();
 		writer.close();
 	}
 	
-	@Test
+	//@Test
 	public void testDepth() throws IOException, TimeoutException
 	{
 		System.out.println("===================");