1029:
882:
940:. This is denoted in a state-transition table by the set of all target states enclosed in a pair of braces {}. An example of a state-transition table together with the corresponding state diagram for a nondeterministic finite-state machine is given below:
890:
In the state-transition table, all possible inputs to the finite-state machine are enumerated across the columns of the table, while all possible states are enumerated across the rows. If the machine is in the state
620:
In the second way, one of the dimensions indicates current states, while the other indicates next states. The row/column intersections indicate inputs and (optionally) outputs associated with the state transitions.
428:
In the first way, one of the dimensions indicates current states, while the other indicates inputs. The row/column intersections indicate next states and (optionally) outputs associated with the state transitions.
779:-dimensional state-transition table in which pairs of rows map (sets of) current states to next states. This is an alternative to representing communication between separate, interdependent finite-state machines.
1068:
For each of the states, scan across the corresponding row and draw an arrow to the destination state(s). There can be multiple arrows for an input character if the finite-state machine is nondeterministic.
100:. They are much more like truth tables than their two-dimensional form. The single dimension indicates inputs, current states, next states and (optionally) outputs associated with the state transitions.
782:
At the other extreme, separate tables have been used for each of the transitions within a single finite-state machine: "AND/OR tables" are similar to incomplete
72:
in which the inputs include the current state along with other inputs, and the outputs include the next state along with other outputs.
1258:
933:
61:
1273:
937:
786:
in which the decision for the rules which are present is implicitly the activation of the associated transition.
1154:"Experience of using a lightweight formal specification method for a commercial embedded system product line"
1028:
1132:
425:
State-transition tables are typically two-dimensional tables. There are two common ways for arranging them.
31:
1219:
1168:
881:
1112:
1079:
1072:
76:
65:
1224:
1173:
775:
Simultaneous transitions in multiple finite-state machines can be shown in what is effectively an
1186:
42:
895:(the first row) and receives an input of 1 (second column), the machine will stay in the state S
1254:
1229:
1178:
1107:
1097:
1041:
and receives an input of 0, the machine will be in two states at the same time, the states S
53:
35:
49:
1117:
1092:
783:
17:
1267:
1127:
1122:
1058:
926:
903:
and receives an input of 0 (first column), the machine will transition to the state S
795:
80:
1190:
1203:
Leveson, Nancy; Heimdahl, Mats Per Erik; Hildreth, Holly; Reese, Jon Damon (1994),
1061:
from a state-transition table. A sequence of easy to follow steps is given below:
69:
68:
will move to, based on the current state and other inputs. It is essentially a
1204:
1182:
1075:. The start state is given in the formal definition of a finite-state machine.
96:
State-transition tables are sometimes one-dimensional tables, also called
1102:
936:, an input may cause the machine to be in more than one state, hence its
1082:. This is also given in the formal definition of a finite-state machine.
41:
For tables used to resolve many-to-many relationships in databases, see
909:
In the state diagram, the former is denoted by the arrow looping from S
794:
An example of a state-transition table together with the corresponding
1233:
925:
labeled with a 0. This process can be described statistically using
1153:
917:
labeled with a 1, and the latter is denoted by the arrow from S
30:"State transition" redirects here. Not to be confused with
75:
A state-transition table is one of many ways to specify a
60:
is a table showing what state (or states in the case of a
1205:"Requirements Specification for Process-Control Systems"
1065:Draw the circles to represent the states given.
27:Table in automata theory and sequential logic
8:
629:(S: state, I: input, O: output, —: illegal)
798:for a finite-state machine is given below:
1251:Introduction to the Theory of Computation
1223:
1212:IEEE Transactions on Software Engineering
1172:
944:
802:
625:
433:
104:
1144:
899:. Now if the machine is in the state S
1053:Transformations from/to state diagram
934:nondeterministic finite-state machine
7:
1253:. PWS Publishing Co., Boston 1997
25:
62:nondeterministic finite automaton
1161:Requirements Engineering Journal
1078:Designate one or more states as
1037:If the machine is in the state S
1027:
880:
437:(S: state, I: input, O: output)
108:(S: state, I: input, O: output)
1:
1290:
40:
29:
1183:10.1007/s00766-004-0209-1
1071:Designate a state as the
1057:It is possible to draw a
1152:Breen, Michael (2005),
1133:Ward-Mellor methodology
946:State-transition table
804:State-transition table
79:. Other ways include a
32:State-transition matrix
1274:Automata (computation)
627:State-transition table
435:State-transition table
106:State-transition table
58:state-transition table
18:State transition table
98:characteristic tables
1113:Finite-state machine
77:finite-state machine
66:finite-state machine
1023:
947:
876:
805:
630:
438:
109:
1019:
945:
872:
803:
626:
434:
105:
43:Associative entity
1234:10.1109/32.317428
1035:
1034:
1015:
1014:
959:
954:
888:
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868:
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812:
766:
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642:
637:
616:
615:
450:
445:
416:
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16:(Redirected from
1281:
1249:Michael Sipser:
1237:
1236:
1227:
1209:
1200:
1194:
1193:
1176:
1158:
1149:
1108:Excitation table
1098:Adjacency matrix
1031:
1024:
1018:
957:
952:
948:
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877:
871:
815:
810:
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448:
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110:
54:sequential logic
36:phase transition
21:
1289:
1288:
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1283:
1282:
1280:
1279:
1278:
1264:
1263:
1246:
1244:Further reading
1241:
1240:
1207:
1202:
1201:
1197:
1156:
1151:
1150:
1146:
1141:
1089:
1080:accepting state
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1048:
1044:
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1011:
1004:
1000:
994:
986:
980:
974:
960:
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938:non-determinism
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908:
906:
902:
898:
894:
864:
858:
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844:
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832:
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784:decision tables
773:
756:
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50:automata theory
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5:
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1238:
1225:10.1.1.72.8657
1218:(9): 684–707,
1195:
1174:10.1.1.60.5228
1167:(2): 161–172,
1143:
1142:
1140:
1137:
1136:
1135:
1130:
1125:
1120:
1118:Index notation
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1110:
1105:
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1095:
1093:Adjacency list
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452:
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421:Two-dimensions
419:
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410:
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404:
401:
398:
395:
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388:
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384:
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318:
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308:
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268:
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229:
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137:
134:
131:
128:
124:
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120:
117:
114:
93:
90:
88:
85:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
1286:
1275:
1272:
1271:
1269:
1260:
1259:0-534-94728-X
1256:
1252:
1248:
1247:
1243:
1235:
1231:
1226:
1221:
1217:
1213:
1206:
1199:
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1192:
1188:
1184:
1180:
1175:
1170:
1166:
1162:
1155:
1148:
1145:
1138:
1134:
1131:
1129:
1128:Mealy machine
1126:
1124:
1123:Moore machine
1121:
1119:
1116:
1114:
1111:
1109:
1106:
1104:
1101:
1099:
1096:
1094:
1091:
1090:
1086:
1081:
1077:
1074:
1070:
1067:
1064:
1063:
1062:
1060:
1059:state diagram
1052:
1050:
1030:
1026:
1025:
1022:
1021:State diagram
1007:
996:
990:
989:
982:
976:
970:
969:
965:
962:
958:Current state
950:
949:
943:
942:
941:
939:
935:
930:
928:
927:Markov Chains
883:
879:
878:
875:
874:State diagram
860:
854:
848:
847:
840:
834:
828:
827:
823:
820:
816:Current state
808:
807:
801:
800:
799:
797:
796:state diagram
789:
787:
785:
780:
778:
770:
761:
758:
748:
745:
739:
738:
734:
731:
728:
725:
722:
721:
710:
707:
704:
701:
695:
694:
690:
687:
684:
674:
668:
667:
660:
657:
651:
645:
641:Current state
633:
632:
624:
623:
622:
604:
601:
591:
581:
575:
574:
570:
567:
564:
561:
558:
557:
546:
543:
533:
523:
517:
516:
505:
502:
492:
482:
476:
475:
468:
465:
459:
453:
449:Current state
441:
440:
432:
431:
430:
426:
420:
408:
402:
396:
390:
389:
385:
382:
379:
376:
375:
368:
362:
356:
350:
349:
342:
336:
330:
324:
323:
319:
316:
313:
310:
309:
302:
296:
290:
284:
283:
279:
276:
273:
270:
269:
262:
256:
250:
244:
243:
236:
230:
224:
218:
217:
210:
204:
198:
192:
191:
187:
184:
181:
178:
177:
170:
164:
158:
152:
151:
144:
138:
132:
126:
125:
121:
118:
116:Current state
115:
112:
111:
103:
102:
101:
99:
92:One-dimension
91:
86:
84:
82:
81:state diagram
78:
73:
71:
67:
63:
59:
55:
51:
44:
37:
33:
19:
1250:
1215:
1211:
1198:
1164:
1160:
1147:
1056:
1036:
1020:
931:
889:
873:
793:
781:
776:
774:
619:
427:
424:
97:
95:
87:Common forms
74:
57:
47:
1073:start state
771:Other forms
70:truth table
1139:References
636:Next state
119:Next state
1220:CiteSeerX
1169:CiteSeerX
1268:Category
1191:16928695
1103:Dataflow
1087:See also
790:Example
122:Output
1257:
1222:
1189:
1171:
932:For a
1208:(PDF)
1187:S2CID
1157:(PDF)
1045:and S
953:Input
811:Input
444:Input
113:Input
1255:ISBN
921:to S
913:to S
64:) a
56:, a
52:and
1230:doi
1179:doi
1001:, S
48:In
34:or
1270::
1228:,
1216:20
1214:,
1210:,
1185:,
1177:,
1165:10
1163:,
1159:,
1049:.
997:{S
966:1
929:.
824:1
762:—
753:/O
735:…
723:…
715:/O
691:—
679:/O
611:z″
609:/O
607:k″
598:z″
596:/O
594:j″
588:x″
586:/O
584:i″
571:…
559:…
553:z′
551:/O
549:k′
540:y′
538:/O
536:j′
530:x′
528:/O
526:i′
510:/O
497:/O
487:/O
411:z″
405:k″
386:…
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365:j″
345:x″
339:i″
320:…
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280:…
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188:…
83:.
1232::
1181::
1047:2
1043:1
1039:2
1010:2
1008:S
1005:}
1003:2
999:1
993:2
991:S
985:1
983:S
979:2
977:S
973:1
971:S
963:0
923:2
919:1
915:1
911:1
907:.
905:2
901:1
897:1
893:1
891:S
863:2
861:S
857:1
855:S
851:2
849:S
843:1
841:S
837:2
835:S
831:1
829:S
821:0
777:n
759:…
755:z
751:k
749:I
746:—
742:m
740:S
732:…
729:…
726:…
717:y
713:j
711:I
708:…
705:—
702:—
698:2
696:S
688:…
685:—
681:x
677:i
675:I
671:1
669:S
663:m
661:S
658:…
654:2
652:S
648:1
646:S
605:S
602:…
592:S
582:S
578:m
576:S
568:…
565:…
562:…
547:S
544:…
534:S
524:S
520:2
518:S
512:z
508:k
506:S
503:…
499:y
495:j
493:S
489:x
485:i
483:S
479:1
477:S
471:n
469:I
466:…
462:2
460:I
456:1
454:I
409:O
403:S
399:m
397:S
393:n
391:I
383:…
380:…
377:…
369:O
363:S
359:m
357:S
353:2
351:I
343:O
337:S
333:m
331:S
327:1
325:I
317:…
314:…
311:…
303:O
297:S
293:2
291:S
287:n
285:I
277:…
274:…
271:…
263:O
257:S
253:2
251:S
247:2
245:I
237:O
231:S
227:2
225:S
221:1
219:I
213:z
211:O
207:k
205:S
201:1
199:S
195:n
193:I
185:…
182:…
179:…
173:y
171:O
167:j
165:S
161:1
159:S
155:2
153:I
147:x
145:O
141:i
139:S
135:1
133:S
129:1
127:I
45:.
38:.
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
