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sav07_lecture_4 [2007/03/27 16:33] leander.eyer |
sav07_lecture_4 [2007/03/27 16:38] leander.eyer |
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| The value of K is known for //global arrays// (statically defined). The case of dynamically allocated arrays (like the one in Java) will be dealt in a further section. | The value of K is known for //global arrays// (statically defined). The case of dynamically allocated arrays (like the one in Java) will be dealt in a further section. | ||
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| Possible mathematical model: fields as functions from objects to objects. | Possible mathematical model: fields as functions from objects to objects. | ||
| - | left : Node => Node | + | left : Node -> Node |
| - | right : Node => Node | + | right : Node -> Node |
| What is the meaning of assignment? | What is the meaning of assignment? | ||
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| assume(x ∉ alloc); | assume(x ∉ alloc); | ||
| alloc = alloc ∪ {x} | alloc = alloc ∪ {x} | ||
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| Line 274: | Line 276: | ||
| ==== Dynamically allocated arrays ==== | ==== Dynamically allocated arrays ==== | ||
| - | When we allow dynamically allocated arrays, we introduce an additional parameter to the array function which identifies the array in question. | + | When we allow dynamically allocated arrays, we introduce a new global function **array** which maps a pair (arrayID, index) to values. |
| x[i] = v; | x[i] = v; | ||