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Term graph

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157:. Term graphs are also used as abstract machines capable of modelling chemical and biological computations as well as graphical calculi such as concurrency models. Term graphs can perform automated verification and logical programming since they are well-suited to representing quantified statements in first order logic. Symbolic programming software is another application for term graphs, which are capable of representing and performing computation with abstract algebraic structures such as groups, fields and rings. 150:" is often used when discussing graph rewriting methods for transforming expressions in formal languages. Considered from the point of view of graph grammars, term graphs are not regular graphs, but hypergraphs where an n-ary word will have a particular subgraph in first place, another in second place, and so on, a distinction that does not exist in the usual undirected graphs studied in graph theory. 25: 310: 138:
Abstract syntax trees cannot represent shared subexpressions since each tree node can only have one parent; this simplicity comes at the cost of efficiency due to redundant duplicate computations of identical terms. For this reason term graphs are often used as an
135:. Term graphs are a more powerful form of representation than expression trees because they can represent not only common subexpressions (i.e. they can take the structure of a directed acyclic graph) but also cyclic/recursive subexpressions (cyclic digraphs). 222: 351: 257: 153:
Term graphs are a prominent topic in programming language research since term graph rewriting rules can formally expressing a compiler's
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Term graphs are also used in type inference, where the graph structure aids in implementing type unification.
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Handbook of Graph Grammars and Computing by Graph Transformation: applications, languages and tools. Vol. 2
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The TERMGRAPH conference focuses entirely on research into term graph rewriting and its applications.
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Barendregt; van Eekelen; Glauert; Kennaway; Plasmeijer; Sleep (1987). "Term graph rewriting".
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PARLE Parallel Architectures and Languages Europe (Lecture Notes in Computer Science)
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at a subsequent compilation stage to abstract syntax tree construction via parsing.
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is a representation of an expression in a formal language as a generalized
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Plump D. (Hartmut Ehrig, G. Engels, Grzegorz Rozenberg, eds) (1999).
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Representation of an expression as a generalized graph
49:. Unsourced material may be challenged and removed. 345: 8: 221:: CS1 maint: multiple names: authors list ( 352: 338: 109:Learn how and when to remove this message 189: 214: 240:. Lecture Notes in Computer Science. 7: 306: 304: 47:adding citations to reliable sources 288:Type inference and semi-unification 201:. World Scientific. pp. 9–13. 324:. You can help Knowledge (XXG) by 14: 308: 23: 34:needs additional citations for 1: 407: 303: 286:Fritz Henglein (1988). 250:10.1007/3-540-17945-3_8 320:-related article is a 386:Graph data structures 155:operational semantics 141:intermediate language 391:Formal methods stubs 148:term graph rewriting 43:improve this article 381:Logical expressions 296:10.1145/62678.62701 129:whose vertices are 333: 332: 259:978-3-540-17945-0 119: 118: 111: 93: 398: 354: 347: 340: 312: 305: 298: 284: 278: 277: 274:"TERMGRAPH 2013" 270: 264: 263: 233: 227: 226: 220: 212: 194: 134: 114: 107: 103: 100: 94: 92: 51: 27: 19: 406: 405: 401: 400: 399: 397: 396: 395: 371:Graph rewriting 361: 360: 359: 358: 302: 301: 285: 281: 272: 271: 267: 260: 235: 234: 230: 213: 209: 196: 195: 191: 186: 178:Graph rewriting 169: 130: 115: 104: 98: 95: 52: 50: 40: 28: 17: 12: 11: 5: 404: 402: 394: 393: 388: 383: 378: 376:Formal systems 373: 363: 362: 357: 356: 349: 342: 334: 331: 330: 318:formal methods 313: 300: 299: 279: 265: 258: 228: 207: 188: 187: 185: 182: 181: 180: 175: 168: 165: 117: 116: 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 403: 392: 389: 387: 384: 382: 379: 377: 374: 372: 369: 368: 366: 355: 350: 348: 343: 341: 336: 335: 329: 327: 323: 319: 314: 311: 307: 297: 293: 289: 283: 280: 275: 269: 266: 261: 255: 251: 247: 243: 239: 232: 229: 224: 218: 210: 208:9789810228842 204: 200: 193: 190: 183: 179: 176: 174: 171: 170: 166: 164: 161: 158: 156: 151: 149: 144: 142: 136: 133: 128: 124: 113: 110: 102: 91: 88: 84: 81: 77: 74: 70: 67: 63: 60: –  59: 55: 54:Find sources: 48: 44: 38: 37: 32:This article 30: 26: 21: 20: 326:expanding it 315: 282: 268: 241: 237: 231: 198: 192: 173:Term (logic) 162: 159: 152: 146:The phrase " 145: 137: 122: 120: 105: 96: 86: 79: 72: 65: 58:"Term graph" 53: 41:Please help 36:verification 33: 244:: 141–158. 365:Categories 184:References 123:term graph 69:newspapers 217:cite book 99:June 2022 167:See also 83:scholar 256:  205:  85:  78:  71:  64:  56:  316:This 132:terms 127:graph 90:JSTOR 76:books 322:stub 254:ISBN 223:link 203:ISBN 62:news 292:doi 246:doi 242:259 45:by 367:: 252:. 219:}} 215:{{ 121:A 353:e 346:t 339:v 328:. 294:: 276:. 262:. 248:: 225:) 211:. 112:) 106:( 101:) 97:( 87:· 80:· 73:· 66:· 39:.

Index


verification
improve this article
adding citations to reliable sources
"Term graph"
news
newspapers
books
scholar
JSTOR
Learn how and when to remove this message
graph
terms
intermediate language
term graph rewriting
operational semantics
Term (logic)
Graph rewriting
ISBN
9789810228842
cite book
link
doi
10.1007/3-540-17945-3_8
ISBN
978-3-540-17945-0
"TERMGRAPH 2013"
Type inference and semi-unification
doi
10.1145/62678.62701

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