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sav08:program_memory_as_graph [2009/03/18 09:37] vkuncak |
sav08:program_memory_as_graph [2009/03/18 10:43] vkuncak |
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| Total functions (as in predicate logic, to make all variables well-defined). | Total functions (as in predicate logic, to make all variables well-defined). | ||
| + | |||
| + | We define: | ||
| + | next(null)=null | ||
| Special value (constant): $null \in Obj$ | Special value (constant): $null \in Obj$ | ||
| Line 15: | Line 18: | ||
| Program state as interpretation $I = (Obj,\alpha)$ in language ${\cal L} = \{ next, prev, null \}$. | Program state as interpretation $I = (Obj,\alpha)$ in language ${\cal L} = \{ next, prev, null \}$. | ||
| - | Values of $next,prev,n,first$ in example state. | + | Values of $next,prev,n,first$ in example state: |
| + | * before [[Insertion into Doubly-Linked List]] and | ||
| + | * after | ||
| - | In general, program variables determines | + | In general, the declared fields determine |
| - | * function symbols and predicate symbols for first-order logic formula | + | * function symbols, constants, and predicate symbols - if we use FOL |
| - | * variables, if we use HOL (predicate and function symbols become variables, like others) | + | * variables, if we use HOL (predicate and function symbols become variables, like variables denoting elements) |