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Theory of regions

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66: 668: 25: 223: 168: 302:. As such, it aims at recovering concurrent, independent behavior from transitions between global states. Theory of regions handles elementary net systems as well as P/T nets and other kinds of nets. An important point is that the approach is aimed at the synthesis of unlabeled Petri nets only. 505: 551: 349: 441: 404: 241: 375: 709: 650: 83: 38: 277: 259: 204: 186: 149: 52: 130: 733: 102: 87: 446: 109: 702: 116: 510: 316: 633:
Badouel, Eric; Darondeau, Philippe (1998), Reisig, Wolfgang; Rozenberg, Grzegorz (eds.), "Theory of regions",
98: 76: 695: 44: 596: 728: 417: 380: 123: 646: 616: 299: 675: 638: 608: 354: 679: 581: 407: 722: 637:, Lecture Notes in Computer Science, Berlin, Heidelberg: Springer, pp. 529–586, 411: 65: 612: 642: 620: 295: 667: 564:
Mukund: event/state separation property, state separation property.
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provides insufficient context for those unfamiliar with the subject
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Lectures on Petri Nets I: Basic Models: Advances in Petri Nets
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Each region represents a potential place of a Petri net.
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International Journal of Foundations of Computer Science
683: 237: 182: 513: 449: 420: 383: 357: 319: 500:{\displaystyle \sigma (s')=\sigma (s)+\tau (\ell )} 232:
may be too technical for most readers to understand
90:. Unsourced material may be challenged and removed. 545: 499: 435: 398: 369: 343: 414:for ENS) and to each transition label a number 703: 8: 546:{\displaystyle (s,\ell ,s')\in \rightarrow } 53:Learn how and when to remove these messages 710: 696: 512: 448: 419: 382: 356: 344:{\displaystyle (S,\Lambda ,\rightarrow )} 318: 278:Learn how and when to remove this message 260:Learn how and when to remove this message 244:, without removing the technical details. 205:Learn how and when to remove this message 150:Learn how and when to remove this message 597:"Petri nets and step transition systems" 573: 351:is a mapping assigning to each state 242:make it understandable to non-experts 187:providing more context for the reader 7: 664: 662: 88:adding citations to reliable sources 329: 294:is an approach for synthesizing a 14: 443:such that consistency conditions 34:This article has multiple issues. 666: 313:A region of a transition system 221: 166: 64: 23: 595:Mukund, Madhavan (1992-12-01). 75:needs additional citations for 42:or discuss these issues on the 537: 514: 494: 488: 479: 473: 464: 453: 430: 424: 393: 387: 338: 335: 320: 1: 682:. You can help Knowledge by 436:{\displaystyle \tau (\ell )} 16:Petri net synthesis approach 750: 661: 399:{\displaystyle \sigma (s)} 613:10.1142/S0129054192000231 643:10.1007/3-540-65306-6_22 734:Computer science stubs 547: 501: 437: 400: 371: 370:{\displaystyle s\in S} 345: 557:Intuitive explanation 548: 502: 438: 401: 372: 346: 511: 447: 418: 381: 355: 317: 84:improve this article 183:improve the article 99:"Theory of regions" 543: 541:∈ → 497: 433: 396: 367: 341: 691: 690: 652:978-3-540-49442-3 582:"Madhavan Mukund" 300:transition system 292:Theory of regions 288: 287: 280: 270: 269: 262: 215: 214: 207: 160: 159: 152: 134: 57: 741: 712: 705: 698: 676:computer science 670: 663: 655: 625: 624: 592: 586: 585: 578: 552: 550: 549: 544: 536: 506: 504: 503: 498: 463: 442: 440: 439: 434: 405: 403: 402: 397: 376: 374: 373: 368: 350: 348: 347: 342: 283: 276: 265: 258: 254: 251: 245: 225: 224: 217: 210: 203: 199: 196: 190: 170: 169: 162: 155: 148: 144: 141: 135: 133: 92: 68: 60: 49: 27: 26: 19: 749: 748: 744: 743: 742: 740: 739: 738: 719: 718: 717: 716: 659: 653: 632: 629: 628: 594: 593: 589: 580: 579: 575: 570: 559: 529: 509: 508: 507:holds whenever 456: 445: 444: 416: 415: 379: 378: 353: 352: 315: 314: 311: 305: 284: 273: 272: 271: 266: 255: 249: 246: 238:help improve it 235: 226: 222: 211: 200: 194: 191: 180: 171: 167: 156: 145: 139: 136: 93: 91: 81: 69: 28: 24: 17: 12: 11: 5: 747: 745: 737: 736: 731: 721: 720: 715: 714: 707: 700: 692: 689: 688: 671: 657: 656: 651: 627: 626: 607:(4): 443–478. 587: 572: 571: 569: 566: 558: 555: 542: 539: 535: 532: 528: 525: 522: 519: 516: 496: 493: 490: 487: 484: 481: 478: 475: 472: 469: 466: 462: 459: 455: 452: 432: 429: 426: 423: 410:for P/T nets, 408:natural number 395: 392: 389: 386: 366: 363: 360: 340: 337: 334: 331: 328: 325: 322: 310: 307: 286: 285: 268: 267: 229: 227: 220: 213: 212: 174: 172: 165: 158: 157: 72: 70: 63: 58: 32: 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 746: 735: 732: 730: 727: 726: 724: 713: 708: 706: 701: 699: 694: 693: 687: 685: 681: 678:article is a 677: 672: 669: 665: 660: 654: 648: 644: 640: 636: 631: 630: 622: 618: 614: 610: 606: 602: 598: 591: 588: 583: 577: 574: 567: 565: 562: 556: 554: 540: 533: 530: 526: 523: 520: 517: 491: 485: 482: 476: 470: 467: 460: 457: 450: 427: 421: 413: 409: 390: 384: 364: 361: 358: 332: 326: 323: 308: 306: 303: 301: 297: 293: 282: 279: 264: 261: 253: 250:February 2017 243: 239: 233: 230:This article 228: 219: 218: 209: 206: 198: 195:February 2017 188: 184: 178: 175:This article 173: 164: 163: 154: 151: 143: 132: 129: 125: 122: 118: 115: 111: 108: 104: 101: –  100: 96: 95:Find sources: 89: 85: 79: 78: 73:This article 71: 67: 62: 61: 56: 54: 47: 46: 41: 40: 35: 30: 21: 20: 684:expanding it 673: 658: 634: 604: 600: 590: 576: 563: 560: 312: 304: 291: 289: 274: 256: 247: 231: 201: 192: 181:Please help 176: 146: 137: 127: 120: 113: 106: 94: 82:Please help 77:verification 74: 50: 43: 37: 36:Please help 33: 729:Set theory 723:Categories 568:References 309:Definition 140:April 2016 110:newspapers 39:improve it 621:0129-0541 524:ℓ 492:ℓ 486:τ 471:σ 451:σ 428:ℓ 422:τ 385:σ 377:a number 362:∈ 336:→ 330:Λ 296:Petri net 45:talk page 534:′ 461:′ 298:from a 236:Please 124:scholar 649:  619:  412:binary 126:  119:  112:  105:  97:  674:This 131:JSTOR 117:books 680:stub 647:ISBN 617:ISSN 290:The 103:news 639:doi 609:doi 240:to 185:by 86:by 725:: 645:, 615:. 605:03 603:. 599:. 553:. 48:. 711:e 704:t 697:v 686:. 641:: 623:. 611:: 584:. 538:) 531:s 527:, 521:, 518:s 515:( 495:) 489:( 483:+ 480:) 477:s 474:( 468:= 465:) 458:s 454:( 431:) 425:( 406:( 394:) 391:s 388:( 365:S 359:s 339:) 333:, 327:, 324:S 321:( 281:) 275:( 263:) 257:( 252:) 248:( 234:. 208:) 202:( 197:) 193:( 189:. 179:. 153:) 147:( 142:) 138:( 128:· 121:· 114:· 107:· 80:. 55:) 51:(

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Petri net
transition system
natural number
binary
"Madhavan Mukund"
"Petri nets and step transition systems"
doi
10.1142/S0129054192000231
ISSN

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