9,994 research outputs found
Automated Verification of Practical Garbage Collectors
Garbage collectors are notoriously hard to verify, due to their low-level
interaction with the underlying system and the general difficulty in reasoning
about reachability in graphs. Several papers have presented verified
collectors, but either the proofs were hand-written or the collectors were too
simplistic to use on practical applications. In this work, we present two
mechanically verified garbage collectors, both practical enough to use for
real-world C# benchmarks. The collectors and their associated allocators
consist of x86 assembly language instructions and macro instructions, annotated
with preconditions, postconditions, invariants, and assertions. We used the
Boogie verification generator and the Z3 automated theorem prover to verify
this assembly language code mechanically. We provide measurements comparing the
performance of the verified collector with that of the standard Bartok
collectors on off-the-shelf C# benchmarks, demonstrating their competitiveness
Edit and verify
Automated theorem provers are used in extended static checking, where they
are the performance bottleneck. Extended static checkers are run typically
after incremental changes to the code. We propose to exploit this usage pattern
to improve performance. We present two approaches of how to do so and a full
solution
A strategy for automatically generating programs in the lucid programming language
A strategy for automatically generating and verifying simple computer programs is described. The programs are specified by a precondition and a postcondition in predicate calculus. The programs generated are in the Lucid programming language, a high-level, data-flow language known for its attractive mathematical properties and ease of program verification. The Lucid programming is described, and the automatic program generation strategy is described and applied to several example problems
Report on the formal specification and partial verification of the VIPER microprocessor
The formal specification and partial verification of the VIPER microprocessor is reviewed. The VIPER microprocessor was designed by RSRE, Malvern, England, for safety critical computing applications (e.g., aircraft, reactor control, medical instruments, armaments). The VIPER was carefully specified and partially verified in an attempt to provide a microprocessor with completely predictable operating characteristics. The specification of VIPER is divided into several levels of abstraction, from a gate-level description up to an instruction execution model. Although the consistency between certain levels was demonstrated with mechanically-assisted mathematical proof, the formal verification of VIPER was never completed
Trusting Computations: a Mechanized Proof from Partial Differential Equations to Actual Program
Computer programs may go wrong due to exceptional behaviors, out-of-bound
array accesses, or simply coding errors. Thus, they cannot be blindly trusted.
Scientific computing programs make no exception in that respect, and even bring
specific accuracy issues due to their massive use of floating-point
computations. Yet, it is uncommon to guarantee their correctness. Indeed, we
had to extend existing methods and tools for proving the correct behavior of
programs to verify an existing numerical analysis program. This C program
implements the second-order centered finite difference explicit scheme for
solving the 1D wave equation. In fact, we have gone much further as we have
mechanically verified the convergence of the numerical scheme in order to get a
complete formal proof covering all aspects from partial differential equations
to actual numerical results. To the best of our knowledge, this is the first
time such a comprehensive proof is achieved.Comment: N° RR-8197 (2012). arXiv admin note: text overlap with
arXiv:1112.179
Investigation, Development, and Evaluation of Performance Proving for Fault-tolerant Computers
A number of methodologies for verifying systems and computer based tools that assist users in verifying their systems were developed. These tools were applied to verify in part the SIFT ultrareliable aircraft computer. Topics covered included: STP theorem prover; design verification of SIFT; high level language code verification; assembly language level verification; numerical algorithm verification; verification of flight control programs; and verification of hardware logic
From Verified Models to Verifiable Code
Declarative specifications of digital systems often contain parts that can be automatically translated into executable code. Automated code generation may reduce or eliminate the kinds of errors typically introduced through manual code writing. For this approach to be effective, the generated code should be reasonably efficient and, more importantly, verifiable. This paper presents a prototype code generator for the Prototype Verification System (PVS) that translates a subset of PVS functional specifications into an intermediate language and subsequently to multiple target programming languages. Several case studies are presented to illustrate the tool's functionality. The generated code can be analyzed by software verification tools such as verification condition generators, static analyzers, and software model-checkers to increase the confidence that the generated code is correct
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