Separation Logic
From CVC4
CVC4 supports a syntax for separation logic as an extension of the *.smt2 language.
Signature and semantics
Given a base theory T, CVC4 supports reasoning about SL(T)_{Loc,Data} formulas, where "Loc" and "Data" are any sort belonging to T. A SL(T)_{Loc,Data} formula is one from the following grammar:
F : L | F1 ^ F2 | emp | (pto t1 t2) | (sep F1 ... Fn) | (wand F1 F2)
Syntax
Separation logic in CVC4 requires the "all supported" logic:
(set-logic ALL_SUPPORTED)
The syntax for the operators of separation logic is summarized in the following table:
| CVC language | SMTLIB language | C++ API | |
|---|---|---|---|
| Empty heap | N/A
|
(emp X Y)
|
em.mkExpr(kind::SEP_EMP, X, Y);
|
| Points-to | N/A
|
(pto X Y)
|
em.mkExpr(kind::SEP_PTO, X, Y);
|
| Separation star | N/A
|
(sep C1 ... Cn)
|
em.mkExpr(kind::SEP_STAR, C1, ..., Cn);
|
| Magic wand | N/A
|
(wand C1 C2)
|
em.mkExpr(kind::SEP_WAND, C1, C2);
|
| Nil element | N/A
|
(as nil T)
|
em.mkUniqueVar(T,kind::SEP_NIL);
|
