1018:
871:
929:. 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:
879:
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
609:
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.
417:
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.
768:-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.
1057:
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.
89:. 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.
771:
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
61:
in which the inputs include the current state along with other inputs, and the outputs include the next state along with other outputs.
1247:
922:
50:
1262:
775:
in which the decision for the rules which are present is implicitly the activation of the associated transition.
1143:"Experience of using a lightweight formal specification method for a commercial embedded system product line"
414:
State-transition tables are typically two-dimensional tables. There are two common ways for arranging them.
926:
1213:
1162:
764:
Simultaneous transitions in multiple finite-state machines can be shown in what is effectively an
1121:
20:
1017:
884:(the first row) and receives an input of 1 (second column), the machine will stay in the state S
1208:
1157:
870:
1030:
and receives an input of 0, the machine will be in two states at the same time, the states S
1101:
1068:
1061:
65:
54:
8:
1175:
31:
1243:
892:
and receives an input of 0 (first column), the machine will transition to the state S
1179:
1218:
1192:
Leveson, Nancy; Heimdahl, Mats Per Erik; Hildreth, Holly; Reese, Jon Damon (1994),
1167:
1096:
1086:
42:
24:
1050:
from a state-transition table. A sequence of easy to follow steps is given below:
38:
1106:
1081:
772:
57:
will move to, based on the current state and other inputs. It is essentially a
1193:
1171:
1064:. The start state is given in the formal definition of a finite-state machine.
1256:
1116:
1111:
1047:
915:
784:
69:
85:
State-transition tables are sometimes one-dimensional tables, also called
925:, an input may cause the machine to be in more than one state, hence its
58:
1071:. This is also given in the formal definition of a finite-state machine.
30:
For tables used to resolve many-to-many relationships in databases, see
898:
In the state diagram, the former is denoted by the arrow looping from S
783:
An example of a state-transition table together with the corresponding
1222:
914:
labeled with a 0. This process can be described statistically using
1142:
1091:
906:
labeled with a 1, and the latter is denoted by the arrow from S
1191:
19:"State transition" redirects here. Not to be confused with
64:
A state-transition table is one of many ways to specify a
49:
is a table showing what state (or states in the case of a
1194:"Requirements Specification for Process-Control Systems"
1041:
1254:
1054:Draw the circles to represent the states given.
1185:
16:Table in automata theory and sequential logic
618:(S: state, I: input, O: output, —: illegal)
787:for a finite-state machine is given below:
1240:Introduction to the Theory of Computation
1212:
1201:IEEE Transactions on Software Engineering
1161:
1134:
1255:
888:. Now if the machine is in the state S
1140:
1042:Transformations from/to state diagram
923:nondeterministic finite-state machine
13:
1242:. PWS Publishing Co., Boston 1997
1232:
14:
1274:
409:
51:nondeterministic finite automaton
1150:Requirements Engineering Journal
1067:Designate one or more states as
1026:If the machine is in the state S
1016:
869:
426:(S: state, I: input, O: output)
97:(S: state, I: input, O: output)
80:
75:
759:
1:
1127:
7:
1075:
10:
1279:
778:
29:
18:
1172:10.1007/s00766-004-0209-1
1060:Designate a state as the
1046:It is possible to draw a
1141:Breen, Michael (2005),
1122:Ward-Mellor methodology
935:State-transition table
793:State-transition table
68:. Other ways include a
21:State-transition matrix
1263:Automata (computation)
616:State-transition table
424:State-transition table
95:State-transition table
47:state-transition table
87:characteristic tables
1102:Finite-state machine
66:finite-state machine
55:finite-state machine
1012:
936:
865:
794:
619:
427:
98:
1008:
934:
861:
792:
615:
423:
94:
32:Associative entity
1223:10.1109/32.317428
1024:
1023:
1004:
1003:
948:
943:
877:
876:
857:
856:
806:
801:
755:
754:
631:
626:
605:
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439:
434:
405:
404:
1270:
1238:Michael Sipser:
1226:
1225:
1216:
1198:
1189:
1183:
1182:
1165:
1147:
1138:
1097:Excitation table
1087:Adjacency matrix
1020:
1013:
1007:
946:
941:
937:
933:
873:
866:
860:
804:
799:
795:
791:
629:
624:
620:
614:
437:
432:
428:
422:
99:
93:
43:sequential logic
25:phase transition
1278:
1277:
1273:
1272:
1271:
1269:
1268:
1267:
1253:
1252:
1235:
1233:Further reading
1230:
1229:
1196:
1190:
1186:
1145:
1139:
1135:
1130:
1078:
1069:accepting state
1044:
1037:
1033:
1029:
1000:
993:
989:
983:
975:
969:
963:
949:
944:
927:non-determinism
913:
909:
905:
901:
897:
895:
891:
887:
883:
853:
847:
841:
833:
827:
821:
807:
802:
781:
773:decision tables
762:
745:
741:
732:
707:
703:
688:
671:
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661:
653:
644:
638:
632:
627:
617:
601:
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584:
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361:
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335:
329:
323:
317:
295:
289:
283:
277:
255:
249:
243:
237:
229:
223:
217:
211:
203:
197:
191:
185:
163:
157:
151:
145:
137:
131:
125:
119:
96:
83:
78:
39:automata theory
35:
28:
17:
12:
11:
5:
1276:
1266:
1265:
1251:
1250:
1234:
1231:
1228:
1227:
1214:10.1.1.72.8657
1207:(9): 684–707,
1184:
1163:10.1.1.60.5228
1156:(2): 161–172,
1132:
1131:
1129:
1126:
1125:
1124:
1119:
1114:
1109:
1107:Index notation
1104:
1099:
1094:
1089:
1084:
1082:Adjacency list
1077:
1074:
1073:
1072:
1065:
1058:
1055:
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1040:
1035:
1031:
1027:
1022:
1021:
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1002:
1001:
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984:
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964:
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945:
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911:
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628:
623:
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582:
579:
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569:
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541:
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531:
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459:
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453:
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441:
436:
431:
411:
410:Two-dimensions
408:
407:
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402:
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396:
393:
390:
387:
384:
381:
377:
376:
373:
370:
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363:
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359:
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353:
350:
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344:
341:
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327:
324:
321:
318:
315:
311:
310:
307:
304:
301:
297:
296:
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287:
284:
281:
278:
275:
271:
270:
267:
264:
261:
257:
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247:
244:
241:
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231:
230:
227:
224:
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212:
209:
205:
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201:
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189:
186:
183:
179:
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172:
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165:
164:
161:
158:
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149:
146:
143:
139:
138:
135:
132:
129:
126:
123:
120:
117:
113:
112:
109:
106:
103:
82:
79:
77:
74:
15:
9:
6:
4:
3:
2:
1275:
1264:
1261:
1260:
1258:
1249:
1248:0-534-94728-X
1245:
1241:
1237:
1236:
1224:
1220:
1215:
1210:
1206:
1202:
1195:
1188:
1181:
1177:
1173:
1169:
1164:
1159:
1155:
1151:
1144:
1137:
1133:
1123:
1120:
1118:
1117:Mealy machine
1115:
1113:
1112:Moore machine
1110:
1108:
1105:
1103:
1100:
1098:
1095:
1093:
1090:
1088:
1085:
1083:
1080:
1079:
1070:
1066:
1063:
1059:
1056:
1053:
1052:
1051:
1049:
1048:state diagram
1039:
1019:
1015:
1014:
1011:
1010:State diagram
996:
985:
979:
978:
971:
965:
959:
958:
954:
951:
947:Current state
939:
938:
932:
931:
930:
928:
924:
919:
917:
916:Markov Chains
872:
868:
867:
864:
863:State diagram
849:
843:
837:
836:
829:
823:
817:
816:
812:
809:
805:Current state
797:
796:
790:
789:
788:
786:
785:state diagram
776:
774:
769:
767:
750:
747:
737:
734:
728:
727:
723:
720:
717:
714:
711:
710:
699:
696:
693:
690:
684:
683:
679:
676:
673:
663:
657:
656:
649:
646:
640:
634:
630:Current state
622:
621:
613:
612:
611:
593:
590:
580:
570:
564:
563:
559:
556:
553:
550:
547:
546:
535:
532:
522:
512:
506:
505:
494:
491:
481:
471:
465:
464:
457:
454:
448:
442:
438:Current state
430:
429:
421:
420:
419:
415:
397:
391:
385:
379:
378:
374:
371:
368:
365:
364:
357:
351:
345:
339:
338:
331:
325:
319:
313:
312:
308:
305:
302:
299:
298:
291:
285:
279:
273:
272:
268:
265:
262:
259:
258:
251:
245:
239:
233:
232:
225:
219:
213:
207:
206:
199:
193:
187:
181:
180:
176:
173:
170:
167:
166:
159:
153:
147:
141:
140:
133:
127:
121:
115:
114:
110:
107:
105:Current state
104:
101:
100:
92:
91:
90:
88:
81:One-dimension
73:
71:
70:state diagram
67:
62:
60:
56:
52:
48:
44:
40:
33:
26:
22:
1239:
1204:
1200:
1187:
1153:
1149:
1136:
1045:
1025:
1009:
920:
878:
862:
782:
770:
765:
763:
608:
416:
413:
86:
84:
76:Common forms
63:
46:
36:
1062:start state
760:Other forms
59:truth table
1128:References
625:Next state
108:Next state
1209:CiteSeerX
1158:CiteSeerX
1257:Category
1180:16928695
1092:Dataflow
1076:See also
779:Example
111:Output
1246:
1211:
1178:
1160:
921:For a
1197:(PDF)
1176:S2CID
1146:(PDF)
1034:and S
942:Input
800:Input
433:Input
102:Input
1244:ISBN
910:to S
902:to S
53:) a
45:, a
41:and
1219:doi
1168:doi
990:, S
37:In
23:or
1259::
1217:,
1205:20
1203:,
1199:,
1174:,
1166:,
1154:10
1152:,
1148:,
1038:.
986:{S
955:1
918:.
813:1
751:—
742:/O
724:…
712:…
704:/O
680:—
668:/O
600:z″
598:/O
596:k″
587:z″
585:/O
583:j″
577:x″
575:/O
573:i″
560:…
548:…
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1170::
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992:2
988:1
982:2
980:S
974:1
972:S
968:2
966:S
962:1
960:S
952:0
912:2
908:1
904:1
900:1
896:.
894:2
890:1
886:1
882:1
880:S
852:2
850:S
846:1
844:S
840:2
838:S
832:1
830:S
826:2
824:S
820:1
818:S
810:0
766:n
748:…
744:z
740:k
738:I
735:—
731:m
729:S
721:…
718:…
715:…
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702:j
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697:…
694:—
691:—
687:2
685:S
677:…
674:—
670:x
666:i
664:I
660:1
658:S
652:m
650:S
647:…
643:2
641:S
637:1
635:S
594:S
591:…
581:S
571:S
567:m
565:S
557:…
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536:S
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523:S
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300:…
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286:S
282:2
280:S
276:n
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266:…
263:…
260:…
252:O
246:S
242:2
240:S
236:2
234:I
226:O
220:S
216:2
214:S
210:1
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202:z
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196:k
194:S
190:1
188:S
184:n
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174:…
171:…
168:…
162:y
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156:j
154:S
150:1
148:S
144:2
142:I
136:x
134:O
130:i
128:S
124:1
122:S
118:1
116:I
34:.
27:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
