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SN Computer Science - AutoAlias: Automatic Variable-Precision Alias Analysis for Object-Oriented Programs
SN Computer Science - AutoAlias: Automatic Variable-Precision Alias Analysis for Object-Oriented Programs #aliasanalysis #oop #programming #programverification
From the journal, SN Computer Science, comes a paper on AutoAlias: Automatic Variable-Precision Alias Analysis for Object-Oriented Programs. This paper is free to read (link) through 2021.
Abstract
The aliasing question (can two reference expressions point, during an execution, to the same object?) is both one of the most critical in practice, for applications ranging from compiler…
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Progress update
Given what I figured out in yesterday's post about hints, I have fixed the memory use problem I had before while checking my Mesh invariant for admissibility.
Now I will be trying to reintroduce all of the other structure invariants I have commented over the past few days while trying to sort out these problems. I had some trouble before with having to use a lot of assertions in the function code in order for the verification to go through. Maybe now that my basic Mesh invariants seem to be more correct, these won't be needed as much!
Hints
I think I finally understand where VCC Hints can be used.
Here is some example code. It is like the PairedList code I posted before, but now has internal arrays which are only partially used, and the use of witnesses has been removed. The important parts are the ownership invariants and the in_array invariants.
#include <vcc.h> #include <stdlib.h> //malloc typedef struct Paired Paired; typedef struct Paired { Paired* pair; } Paired; typedef _(dynamic_owns) struct PairedVarLists { //Used size of the arrays size_t num1; size_t num2; //Maximum sizes of the arrays size_t cap1; size_t cap2; //Size invariants _(invariant num1 <= cap1) _(invariant num2 <= cap2) _(invariant cap1 > 0) _(invariant cap2 > 0) //Arrays storing Paired objects Paired* pairarray1; Paired* pairarray2; //Require that the arrays do not overlap _(invariant pairarray1 != pairarray2) _(invariant \arrays_disjoint(pairarray1, cap1, pairarray2, cap2)) //Array objects (needed for free/dispose) _(ghost \object arrayob1) _(ghost \object arrayob2) //Array object invariants _(invariant arrayob1 == (Paired[cap1])pairarray1) _(invariant arrayob2 == (Paired[cap2])pairarray2) _(invariant \malloc_root(arrayob1)) _(invariant \malloc_root(arrayob2)) _(invariant \mine(arrayob1) && \mine(arrayob2)) //Ownership invariants _(invariant \forall \natural i; {&pairarray1[i]} i < cap1 ==> \mine(&pairarray1[i]) ) _(invariant \forall \natural j; {&pairarray2[j]} j < cap2 ==> \mine(&pairarray2[j]) ) //in_array invariants //Note that either the :hints or the \mine()s are needed _(invariant \forall \natural i; {:hint \mine(&pairarray1[i])} i < num1 ==> //\mine(&pairarray1[i]) && \in_array(pairarray1[i].pair, pairarray2, num2) ) _(invariant \forall \natural j; {:hint \mine(&pairarray2[j])} j < num2 ==> //\mine(&pairarray2[j]) && \in_array(pairarray2[j].pair, pairarray1, num1) ) //Pairing invariants (paired structure) //...omitted } PairedVarLists;
Either the "{:hint \mine(&pairarray1[i])}" hints or the "\mine(&pairarray1[i])" parts of the in_array invariants are needed. The hints hearken to the ownership invariants, while the "\mine"s introduce the ownership information again in a redundant way. In this case, the \mine versions let the admissibility check succeed faster. If both are omitted, the admissibility check fails by running out of memory.
If the ownership invariants are omitted and the hints used, the in_array invariants are inadmissible (because the ownership information, while hinted at, isn't actually there). If the ownership invariants are omitted and the \mine() terms are included instead of the hints, the admissibility check passes, but my memory-freeing function fails to be able to confirm that all array elements were owned by the PairedVarList, since the in_array invariants only ensure ownership and array membership up to "num1" and "num2" instead of the entire array capacities "cap1" and "cap2".
If you're interested in my research: program verification, type theory, domain theory, logic.

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