
We provide a verification technique for a class of programs working on integer arrays of finite, but not a priori bounded length. We use the logic of integer arrays SIL [13] to specify pre- and post-conditions of programs and their parts. Effects of non-looping parts of code are computed syntactically on the level of SIL. Loop pre-conditions derived during the computation in SIL are converted into counter automata (CA). Loops are automatically translated--purely on the syntactical level--to transducers. Pre-condition CA and transducers are composed, and the composition over-approximated by flat automata with difference bound constraints, which are next converted back into SIL formulae, thus inferring post-conditions of the loops. Finally, validity of post-conditions specified by the user in SIL may be checked as entailment is decidable for SIL.
program verification, [INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO], transducers, counter automata, difference bound matrices, array logic, array programs, [INFO.INFO-ES] Computer Science [cs]/Embedded Systems, [INFO.INFO-PL] Computer Science [cs]/Programming Languages [cs.PL]
program verification, [INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO], transducers, counter automata, difference bound matrices, array logic, array programs, [INFO.INFO-ES] Computer Science [cs]/Embedded Systems, [INFO.INFO-PL] Computer Science [cs]/Programming Languages [cs.PL]
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