Automating the verification of floating-point programs
In the context of deductive program verification, handling floating-point computations is
challenging. The level of proof success and proof automation highly depends on the way the …
challenging. The level of proof success and proof automation highly depends on the way the …
Automated verification of floating-point computations in Ada programs
In critical software systems like the ones related to transport and defense, it is common to
perform numerical computations implemented using floating-point arithmetic. Safety …
perform numerical computations implemented using floating-point arithmetic. Safety …
Combining rule-and SMT-based reasoning for verifying floating-point Java programs in KeY
Deductive verification has been successful in verifying interesting properties of real-world
programs. One notable gap is the limited support for floating-point reasoning. This is …
programs. One notable gap is the limited support for floating-point reasoning. This is …
Deductive verification of floating-point java programs in key
Deductive verification has been successful in verifying interesting properties of real-world
programs. One notable gap is the limited support for floating-point reasoning. This is …
programs. One notable gap is the limited support for floating-point reasoning. This is …
Making proofs of floating-point programs accessible to regular developers
C Dross, J Kanig - International Workshop on Numerical Software …, 2021 - Springer
Formal verification of floating-point computations remains a challenge for the software
engineer. Automated, specialized tools can handle floating-point computations well, but …
engineer. Automated, specialized tools can handle floating-point computations well, but …
Hardware-dependent proofs of numerical programs
TMT Nguyen, C Marché - … Conference on Certified Programs and Proofs, 2011 - Springer
We present an approach for proving behavioral properties of numerical programs by
analyzing their compiled assembly code. We focus on the issues and traps that may arise on …
analyzing their compiled assembly code. We focus on the issues and traps that may arise on …
Auto-Active Verification of Floating-Point Programs via Nonlinear Real Provers
We give a process for verifying numerical programs against their functional specifications.
Our implementation is capable of automatically verifying SPARK programs against tight error …
Our implementation is capable of automatically verifying SPARK programs against tight error …
Multi-prover verification of floating-point programs
A Ayad, C Marché - International Joint Conference on Automated …, 2010 - Springer
In the context of deductive program verification, supporting floating-point computations is
tricky. We propose an expressive language to formally specify behavioral properties of such …
tricky. We propose an expressive language to formally specify behavioral properties of such …
Lightweight interactive proving inside an automatic program verifier
Among formal methods, the deductive verification approach allows establishing the
strongest possible formal guarantees on critical software. The downside is the cost in terms …
strongest possible formal guarantees on critical software. The downside is the cost in terms …
Verified calculations
KRM Leino, N Polikarpova - … on Verified Software: Theories, Tools, and …, 2013 - Springer
Calculational proofs—proofs by stepwise formula manipulation—are praised for their rigor,
readability, and elegance. It seems desirable to reuse this style, often employed on paper, in …
readability, and elegance. It seems desirable to reuse this style, often employed on paper, in …