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Spatial–temporal reasoning

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systematically explained within the theory of cognitive prism as follows: (1) the connection relation is primitive; (2) an orientation relation is a distance comparison relation: you being in front of me can be interpreted as you are nearer to my front side than my other sides; (3) a distance relation is a connection relation using a third object: you being one meter away from me can be interpreted as a one meter long object connected with you and me simultaneously.
186:) languages. Contrary to mathematical or physical theories about space and time, qualitative constraint calculi allow for rather inexpensive reasoning about entities located in space and time. For this reason, the limited expressiveness of qualitative representation formalism calculi is a benefit if such reasoning tasks need to be integrated in applications. For example, some of these calculi may be implemented for handling spatial 453: 32: 112:
A convergent result in cognitive psychology is that the connection relation is the first spatial relation that human babies acquire, followed by understanding orientation relations and distance relations. Internal relations among the three kinds of spatial relations can be computationally and
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spatial-temporal reasoning which is based on qualitative abstractions of temporal and spatial aspects of the common-sense background knowledge on which our human perspective of physical reality is based. Methodologically, qualitative
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is a Python framework for qualitative reasoning over networks of relation algebras, such as RCC-8, Allen's interval algebra, and Allen's algebra integrated with Time Points and situated in either Left- or Right-Branching
100:. The theoretic goal—on the cognitive side—involves representing and reasoning spatial-temporal knowledge in mind. The applied goal—on the computing side—involves developing high-level control systems of automata for 154: 158: 138: 178:
calculi restrict the vocabulary of rich mathematical theories dealing with temporal or spatial entities such that specific aspects of these theories can be treated within
153:(RCC), and the Oriented Point Relation Algebra. Recently, spatio-temporal calculi have been designed that combine spatial and temporal information. For example, the 142: 121:
Without addressing internal relations among spatial relations, AI researchers contributed many fragmentary representations. Examples of temporal calculi include
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This article is about spatial–temporal reasoning in information technology. For spatial–temporal reasoning in psychology, see
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queries efficiently and some may be used for navigating, and communicating with, a mobile
8: 157:(STCC) by Gerevini and Nebel combines Allen's interval algebra with RCC-8. Moreover, the 493: 404: 383: 369: 361: 324: 101: 431: 390: 296: 93: 286:
Renz, J.; Nebel, B. (2007). Aiello, M.; Pratt-Hartmann, I.; van Benthem, J. (eds.).
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Constraint propagation algorithms for temporal reasoning: A Revised Report
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Recognizing Variable Environment -- The Theory of Cognitive Prism
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Dong, T. (2008). "A Comment on RCC: From RCC to RCC⁺⁺".
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Qualitative Spatial Reasoning using Constraint Calculi
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Most of these calculi can be formalized as abstract
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may be too technical for most readers to understand
382: 161:(QTC) allows for reasoning about moving objects.. 465: 117:Fragmentary representations of temporal calculi 381:Vilain, M.; Kautz, H.; van Beek, P. (1987). 164: 169:An emphasis in the literature has been on 285: 129:. The most prominent spatial calculi are 69:Learn how and when to remove this message 53:, without removing the technical details. 182:fragments with simple qualitative (non- 466: 51:make it understandable to non-experts 423: 343: 25: 197: 108:Influence from cognitive psychology 13: 155:spatiotemporal constraint calculus 104:and understanding time and space. 14: 520: 445: 451: 30: 159:qualitative trajectory calculus 16:Area of artificial intelligence 389:. Morgan Kaufmann Publishers. 346:Journal of Philosophical Logic 88:that draws from the fields of 1: 279: 143:4- and 9-intersection calculi 125:, and Vilain's & Kautz's 21:Spatial visualization ability 7: 237: 217: 139:cardinal direction calculus 10: 525: 458:Spatial–temporal reasoning 212:path-consistency algorithm 82:Spatial–temporal reasoning 18: 358:10.1007/s10992-007-9074-y 151:region connection calculi 479:Knowledge representation 274: 165:Quantitative abstraction 131:mereotopological calculi 123:Allen's interval algebra 86:artificial intelligence 484:Educational psychology 254:Diagrammatic reasoning 214:is an important tool. 249:Commonsense reasoning 460:at Wikimedia Commons 98:cognitive psychology 208:constraint network 147:flip-flop calculus 504:Spatial cognition 474:Cognitive science 456:Media related to 424:Dong, T. (2012). 204:relation algebras 94:cognitive science 79: 78: 71: 516: 455: 441: 420: 414: 410: 408: 400: 388: 377: 340: 334: 330: 328: 320: 318: 317: 311: 305:. Archived from 294: 198:Relation algebra 90:computer science 74: 67: 63: 60: 54: 34: 33: 26: 524: 523: 519: 518: 517: 515: 514: 513: 489:Logical calculi 464: 463: 448: 438: 412: 411: 402: 401: 397: 332: 331: 322: 321: 315: 313: 309: 303: 292: 282: 277: 269:Visual thinking 259:Spatial ability 244:Cerebral cortex 240: 220: 200: 167: 119: 110: 75: 64: 58: 55: 47:help improve it 44: 35: 31: 24: 17: 12: 11: 5: 522: 512: 511: 509:Space and time 506: 501: 496: 491: 486: 481: 476: 462: 461: 447: 446:External links 444: 443: 442: 436: 421: 395: 378: 352:(2): 319–352. 341: 301: 281: 278: 276: 273: 272: 271: 266: 264:Temporal logic 261: 256: 251: 246: 239: 236: 235: 234: 227: 219: 216: 199: 196: 166: 163: 118: 115: 109: 106: 84:is an area of 77: 76: 38: 36: 29: 15: 9: 6: 4: 3: 2: 521: 510: 507: 505: 502: 500: 497: 495: 492: 490: 487: 485: 482: 480: 477: 475: 472: 471: 469: 459: 454: 450: 449: 439: 437:9783642240577 433: 429: 428: 422: 418: 406: 398: 396:1-55860-095-7 392: 387: 386: 379: 375: 371: 367: 363: 359: 355: 351: 347: 342: 338: 326: 312:on 2007-06-27 308: 304: 302:9781402055867 298: 291: 290: 284: 283: 270: 267: 265: 262: 260: 257: 255: 252: 250: 247: 245: 242: 241: 231: 228: 225: 222: 221: 215: 213: 209: 205: 195: 193: 189: 185: 181: 177: 172: 162: 160: 156: 152: 148: 144: 140: 136: 132: 128: 127:point algebra 124: 114: 105: 103: 99: 95: 91: 87: 83: 73: 70: 62: 52: 48: 42: 39:This article 37: 28: 27: 22: 499:Time in life 426: 384: 349: 345: 314:. Retrieved 307:the original 295:. Springer. 288: 201: 168: 145:, Ligozat's 120: 111: 81: 80: 65: 59:October 2012 56: 40: 413:|work= 333:|work= 171:qualitative 468:Categories 316:2007-03-01 280:References 176:constraint 149:, various 102:navigating 494:Reasoning 415:ignored ( 405:cite book 335:ignored ( 325:cite book 180:decidable 366:41217909 238:See also 230:qualreas 218:Software 374:6243376 45:Please 434:  393:  372:  364:  299:  210:, the 184:metric 96:, and 370:S2CID 362:JSTOR 310:(PDF) 293:(PDF) 275:Notes 233:Time. 192:robot 135:Frank 432:ISBN 417:help 391:ISBN 337:help 297:ISBN 354:doi 224:GQR 188:GIS 137:'s 49:to 470:: 409:: 407:}} 403:{{ 368:. 360:. 350:34 348:. 329:: 327:}} 323:{{ 194:. 133:, 92:, 440:. 419:) 399:. 376:. 356:: 339:) 319:. 72:) 66:( 61:) 57:( 43:. 23:.

Index

Spatial visualization ability
help improve it
make it understandable to non-experts
Learn how and when to remove this message
artificial intelligence
computer science
cognitive science
cognitive psychology
navigating
Allen's interval algebra
point algebra
mereotopological calculi
Frank
cardinal direction calculus
4- and 9-intersection calculi
flip-flop calculus
region connection calculi
spatiotemporal constraint calculus
qualitative trajectory calculus
qualitative
constraint
decidable
metric
GIS
robot
relation algebras
constraint network
path-consistency algorithm
GQR
qualreas

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