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 …
Automatic numerical solving for auto-active verification of floating-point programs
JA Rasheed - 2022 - publications.aston.ac.uk
We present a new process for the verification of numerical programs with tight functional
specifications that feature exact arithmetic including selected transcendental functions. The …
specifications that feature exact arithmetic including selected transcendental functions. The …
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 …
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 …
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 …
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 …
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 …
Using SMT solvers to verify high-integrity programs
PB Jackson, BJ Ellis, K Sharp - Proceedings of the second workshop on …, 2007 - dl.acm.org
In this paper we report on our experiments in using the currently popular Smt (Sat Modulo
Theories) solvers Yices [10] and Cvc3 [1] and the Simplify theorem prover [9] to discharge …
Theories) solvers Yices [10] and Cvc3 [1] and the Simplify theorem prover [9] to discharge …
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 …