Dataset Open Access

Verification of some Boolean partial polymorphisms

Behrisch, Mike

This dataset contains the formal verification that a certain partial ternary Boolean conjunction f preserves two specific Boolean relations, but does not preserve two other ones. Our approach is by translating the question into Boolean satisfiability problems and to implement these such that they can be treated by a sat solver being capable of reading SMT-LIB2.0 specifications. Specifically, we have been using the Z3 solver developed by Microsoft Research (https://github.com/z3prover/z3) to attack the problem. The following is a list of the files contained in the dataset and their function:

Filename Purpose
f-pPol-GammaL0chi2-GammaL2chi3.
z3
The SMT-LIB2.0 implementation of the problem, to be run, e.g. by Z3.
z3-output.txt The output received by running Z3 on f-pPol-GammaL0chi2-GammaL2chi3.
z3
f-preserves-GammaL0chi2_proof.txt A formal proof generated by Z3 that f preserves ΓL₀(χ₂).
f-preserves-GammaL2chi3_proof.txt A formal proof generated by Z3 that f preserves ΓL₂(χ₃).
partial_polymorphisms.pdf A detailed description of the problem and the dataset.
partial_polymorphisms.tex The source file used to produce partial_polymorphisms.pdf

 

Files (441.7 kB)
Name Size
f-pPol-GammaL0chi2-GammaL2chi3.z3
md5:a7b8898408f2fef4e99cbf4c325ec7ba
8.1 kB Download
f-preserves-GammaL0chi2_proof.txt
md5:33be353518d4913dc5db3615f8e800de
16.1 kB Download
f-preserves-GammaL2chi3_proof.txt
md5:59c8254791eb6d495b4eeb1aec37a14b
51.9 kB Download
partial_polymorphisms.pdf
md5:79e778abb159f4d6b64c7ad710013f78
353.5 kB Download
partial_polymorphisms.tex
md5:00e5319de8df5ba69c5a54eb8fbd6c52
11.1 kB Download
z3-output.txt
md5:d79db7855fffd8717d643ac32f37d48f
1.1 kB Download
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