1. Osman Hasan. Formal Probabilistic Analysis Using Theorem Proving. PhD Thesis, Concordia University, Montréal, Canada, April 2008. Keyword(s): HOL, probability. [bibtex-entry]

1. Gul Agha and Karl Palmskog. A Survey of Statistical Model Checking. ACM Transactions on Modeling and Computer Simulation, 28(1):6:1-6:39, January 2018. ISSN: 1049-3301. Keyword(s): model checking. [Abstract] [bibtex-entry]



2. Jeremy Avigad, Johannes Hölzl, and Luke Serafin. A Formally Verified Proof of the Central Limit Theorem. Journal of Automated Reasoning, 59(4):389-423, December 2017. ISSN: 1573-0670. Keyword(s): HOL, Isabelle, probability. [Abstract] [bibtex-entry]



3. Stefan Mitsch and André Platzer. ModelPlex: Verified Runtime Validation of Verified Cyber-Physical System Models. Formal Methods in System Design, 49(1):33-74, October 2016. ISSN: 1572-8102. Keyword(s): verification. [Abstract] [bibtex-entry]



4. Abhishek Anand and Ross Knepper. ROSCoq: Robots Powered by Constructive Reals. In Christian Urban and Xingyuan Zhang, editors, Interactive Theorem Proving, volume 9236, pages 34-50. Springer International Publishing, Cham, 2015. ISBN: 978-3-319-22101-4 978-3-319-22102-1. Keyword(s): Coq, reals, verification. [Abstract] [bibtex-entry]



5. Liya Liu, Osman Hasan, and Sofiène Tahar. Formal Reasoning About Finite-State Discrete-Time Markov Chains in HOL. Journal of Computer Science and Technology, 28(2):217-231, March 2013. ISSN: 1860-4749. Keyword(s): probability, verification. [Abstract] [bibtex-entry]



6. Diogo Araújo Carvalho Vilaça Moreira. Finite Probability Distributions in Coq. April 2012. Keyword(s): Coq, probability. [Abstract] [bibtex-entry]



7. Osman Hasan and Sofiène Tahar. Reasoning about Conditional Probabilities in a Higher-Order-Logic Theorem Prover. Journal of Applied Logic, 9(1):23-40, March 2011. ISSN: 1570-8683. Keyword(s): HOL, probability. [Abstract] [bibtex-entry]



8. Osman Hasan and Sofiène Tahar. Formal Verification of Tail Distribution Bounds in the HOL Theorem Prover. Mathematical Methods in the Applied Sciences, 32(4):480-504, March 2009. ISSN: 01704214, 10991476. Keyword(s): HOL, probability. [Abstract] [bibtex-entry]



9. Osman Hasan and Sofiène Tahar. Probabilistic Analysis of Wireless Systems Using Theorem Proving. Electronic Notes in Theoretical Computer Science, 242(2):43-58, July 2009. ISSN: 15710661. Keyword(s): HOL, probability. [Abstract] [bibtex-entry]



10. Osman Hasan and Sofiène Tahar. Using Theorem Proving to Verify Expectation and Variance for Discrete Random Variables. Journal of Automated Reasoning, 41(3-4):295-323, November 2008. ISSN: 0168-7433, 1573-0670. Keyword(s): HOL, probability. [Abstract] [bibtex-entry]



11. Osman Hasan and Sofiène Tahar. Formalization of Continuous Probability Distributions. In Frank Pfenning, editor, Automated Deduction - CADE-21, volume 4603, pages 3-18. Springer Berlin Heidelberg, Berlin, Heidelberg, 2007. ISBN: 978-3-540-73594-6 978-3-540-73595-3. ISSN: 0302-9743, 1611-3349. Keyword(s): HOL, probability. [Abstract] [bibtex-entry]



12. Lawrence C. Paulson. Mechanizing Coinduction and Corecursion in Higher-Order Logic. Journal of Logic and Computation, 7(2):175-204, April 1997. ISSN: 0955-792X. Keyword(s): coinduction, HOL. [Abstract] [bibtex-entry]

1. Muhammad Qasim, Osman Hasan, Maissa Elleuch, and Sofiène Tahar. Formalization of Normal Random Variables in HOL. In Michael Kohlhase, Moa Johansson, Bruce Miller, Leonardo de Moura, and Frank Tompa, editors, Intelligent Computer Mathematics, Lecture Notes in Computer Science, Cham, pages 44-59, 2016. Springer International Publishing. ISBN: 978-3-319-42547-4. Keyword(s): HOL, probability. [Abstract] [bibtex-entry]

1. Osman Hasan and Sofiene Tahar. Formalization of the Standard Uniform Random Variable in HOL. Technical report, December 2006. Keyword(s): HOL, probability. [Abstract] [bibtex-entry]

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