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sav07_lecture_20 [2007/06/05 19:03] kremena.diatchka |
sav07_lecture_20 [2007/06/05 19:22] vkuncak |
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| - must follow protocol: (open (read+write)* close)* | - must follow protocol: (open (read+write)* close)* | ||
| - must follow protocol: (startLog stopLog)* | - must follow protocol: (startLog stopLog)* | ||
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| Let $S$ be the set of program states and $V$ be the set of vertices in the control flow graph. Then we can describe a point in the program as: | Let $S$ be the set of program states and $V$ be the set of vertices in the control flow graph. Then we can describe a point in the program as: | ||
| - | $(s,c)$ | + | $(c,s)$ |
| - | where $s \in S, c \in V$ | + | where $c \in V, s \in S$ |
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| Then we can formally define the semantics of a big step ($\mapsto$) as: | Then we can formally define the semantics of a big step ($\mapsto$) as: | ||
| - | $(c_{0},s_{1}) \mapsto (c_{3}, s_{2})$ | + | $(c_{1},s_{1}) \mapsto (c_{2}, s_{2})$ |
| where $(s_{1},s_{2}) \in r$ iff $(c_{0},s_{1}) \rightarrow (c_{3},s_{2})$ | where $(s_{1},s_{2}) \in r$ iff $(c_{0},s_{1}) \rightarrow (c_{3},s_{2})$ | ||
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| $(s, l, c, t)$ | $(s, l, c, t)$ | ||
| - | Here $l \in L$, where $L$ is the set of local variables of a procedure. Everything would be popped off from $l$ when the procedure returns control to the callee. | + | Here $l \in L$, where $L$ is the set of mappings of local variables of a procedure to their values. Furthermore, on each procedure call, the program pushes $l$ on the stack along with the program point. Everything would be popped off from $l$ when the procedure returns control to the callee. |
| One instance where small step semantics would be necessary is in concurrency, so that we can take into account interleaving. | One instance where small step semantics would be necessary is in concurrency, so that we can take into account interleaving. | ||