Symbolic string verification: Combining string analysis and size analysis

F Yu, T Bultan, OH Ibarra - … Conference on Tools and Algorithms for the …, 2009 - Springer
F Yu, T Bultan, OH Ibarra
International Conference on Tools and Algorithms for the Construction and …, 2009Springer
We present an automata-based approach for symbolic verification of systems with
unbounded string and integer variables. Particularly, we are interested in automatically
discovering the relationships among the string and integer variables. The lengths of the
strings in a regular language form a semilinear set. We present a novel construction for
length automata that accept the unary or binary representations of the lengths of the strings
in a regular language. These length automata can be integrated with an arithmetic …
Abstract
We present an automata-based approach for symbolic verification of systems with unbounded string and integer variables. Particularly, we are interested in automatically discovering the relationships among the string and integer variables. The lengths of the strings in a regular language form a semilinear set. We present a novel construction for length automata that accept the unary or binary representations of the lengths of the strings in a regular language. These length automata can be integrated with an arithmetic automaton that recognizes the valuations of the integer variables at a program point. We propose a static analysis technique that uses these automata in a forward fixpoint computation with widening and is able to catch relationships among the lengths of the string variables and the values of the integer variables. This composite string and integer analysis enables us to verify properties that cannot be verified using string analysis or size analysis alone.
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