2022-05-25T10:00:29Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000114422021-10-27T01:21:02Z1162:1163Formal definition of probability on finite and discrete sample space for proving security of cryptographic systems using MizarOkazaki, HiroyukiFuta, YuichiShidama, YasunariThis work is licensed under a Creative Commons Attribution 3.0 License.Formal verificationProbability on a finite and discrete sample spaceCryptographic systemSecurity proofs for cryptographic systems are very important. The ultimate objective of our study is to prove the security of cryptographic systems using the Mizar proof checker. In this study, we formalize the probability on a finite and discrete sample space to achieve our aim. Therefore, we introduce a formalization of the probability distribution and prove the correctness of the formalization using the Mizar proof checking system as a formal verification tool.ArticleArtificial Intelligence Research. 2(4):37-48 (2013)Sciedu Press2013-08engjournal articleVoRhttp://hdl.handle.net/10091/17168https://soar-ir.repo.nii.ac.jp/records/11442https://doi.org/10.5430/air.v2n4p3710.5430/air.v2n4p371927-6974Artificial Intelligence Research243748https://soar-ir.repo.nii.ac.jp/record/11442/files/Formal_definition_probability_finite_discrete_sample.pdfapplication/pdf127.4 kB2015-09-28