@inbook(Adje2013, author = {Assale Adje and Olivier Bouissou and Goubault-Larrecq, Jean and Eric Goubault and Sylvie Putot}, year = {2014}, title = {Static Analysis of Programs with Imprecise Probabilistic Inputs}, pages = {22--47}, publisher = {Springer Berlin Heidelberg}, address = {Berlin, Heidelberg}, doi = {10.1007/978-3-642-54108-7_2}, ) @book(Butler2018, author = {Troy Butler and Don Estep and Nishant Panda}, year = {2018}, title = {\href{https://www.stat.colostate.edu/~estep/assets/notes_part1.pdf}{{A Ramble Through the Foundations of Probability [unpublished]}}}, ) @misc(Cousot1977, author = {Patrick Cousot and Radhia Cousot}, year = {1977}, title = {{Abstract Interpretation: a unified lattice model for static analysis of programs by construction or approximation of fixpoints}}, doi = {10.1145/512950.512973}, ) @misc(Cousot1979, author = {Patrick Cousot and Radhia Cousot}, year = {1979}, title = {{Systematic design of program analysis frameworks}}, doi = {10.1145/567752.567778}, ) @article(cousot2013, author = {Patrick Cousot and Radhia Cousot and Manuel F{\"{a}}hndrich and Francesco Logozzo}, year = {2013}, title = {{Automatic inference of necessary preconditions}}, journal = {Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)}, volume = {7737 LNCS}, pages = {128--148}, doi = {10.1007/978-3-642-35873-9_10}, ) @inbook(CousotM12, author = {Patrick Cousot and Michael Monerau}, year = {2012}, title = {Probabilistic Abstract Interpretation}, pages = {169--193}, publisher = {Springer Berlin Heidelberg}, address = {Berlin, Heidelberg}, doi = {10.1007/978-3-642-28869-2_9}, ) @article(Giesl2017, author = {J{\"u}rgen Giesl and Cornelius Aschermann and Marc Brockschmidt and Fabian Emmes and Florian Frohn and Carsten Fuhs and Jera Hensel and Carsten Otto and Martin Pl{\"u}cker and Schneider-Kamp, Peter and Thomas Str{\"o}der and Stephanie Swiderski and Ren{\'e} Thiemann}, year = {2017}, title = {Analyzing Program Termination and Complexity Automatically with AProVE}, journal = {Journal of Automated Reasoning}, volume = {58}, number = {1}, pages = {3--31}, doi = {10.1007/s10817-016-9388-y}, ) @article(Halpern1989, author = {Joseph Y. Halpern and Ronald Fagin}, year = {1989}, title = {{Modelling knowledge and action in distributed systems}}, journal = {Distributed Computing}, volume = {3}, number = {4}, pages = {159--177}, doi = {10.1007/BF01784885}, ) @inproceedings(Kirkeby2015, author = {Maja H. Kirkeby and Mads Rosendahl}, year = {2016}, title = {Probabilistic Resource Analysis by Program Transformation}, editor = {Marko van Eekelen and Dal Lago, Ugo}, booktitle = {Foundational and Practical Aspects of Resource Analysis: 4th International Workshop, FOPARA 2015, London, UK, April 11, 2015. Revised Selected Papers}, publisher = {Springer International Publishing}, address = {Cham}, pages = {60--80}, doi = {10.1007/978-3-319-46559-3_4}, ) @book(Klir2007, author = {George J Klir}, year = {2007}, title = {{Uncertainty and Information: Foundations of Generalized Information Theory (Klir, G.J.; 2006)}}, volume = {18}, doi = {10.1109/TNN.2007.906888}, ) @article(Kozen1985, author = {Dexter Kozen}, year = {1985}, title = {{A probabilistic PDL}}, journal = {Journal of Computer and System Sciences}, volume = {30}, number = {2}, pages = {162--178}, doi = {10.1016/0022-0000(85)90012-1}, ) @article(Mine2006, author = {Antoine Min{\'{e}}}, year = {2006}, title = {{The octagon abstract domain}}, journal = {Higher-Order and Symbolic Computation}, volume = {19}, number = {1}, pages = {31--100}, doi = {10.1007/s10990-006-8609-1}, ) @inproceedings(Monniaux2000, author = {David Monniaux}, year = {2000}, title = {Abstract Interpretation of Probabilistic Semantics}, editor = {Jens Palsberg}, booktitle = {Static Analysis, 7th International Symposium, {SAS} 2000, Santa Barbara, CA, USA, June 29 - July 1, 2000, Proceedings}, series = {Lecture Notes in Computer Science}, volume = {1824}, publisher = {Springer}, pages = {322--339}, doi = {10.1007/978-3-540-45099-3\_17}, ) @inproceedings(Monniaux2001, author = {David Monniaux}, year = {2001}, title = {Backwards Abstract Interpretation of Probabilistic Programs}, editor = {David Sands}, booktitle = {Programming Languages and Systems, 10th European Symposium on Programming, {ESOP} 2001 Genova, Italy, April 2-6, 2001, Proceedings}, series = {Lecture Notes in Computer Science}, volume = {2028}, publisher = {Springer}, pages = {367--382}, doi = {10.1007/3-540-45309-1\_24}, ) @book(Nielson1999, author = {Flemming Nielson and Hanne Riis Nielson and Chris Hankin}, year = {1999}, title = {{Principles of Program Analysis}}, publisher = {Springer Berlin Heidelberg}, address = {Berlin, Heidelberg}, doi = {10.1007/978-3-662-03811-6}, ) @book(Nielson2007, author = {{Riis Nielson}, Hanne and Flemming Nielson}, year = {2007}, title = {{Semantics with Applications: an Appetizer}}, doi = {10.1159/000321363}, ) @incollection(Ruspini, author = {Enrique H. Ruspini}, title = {{Epistemic Logics, Probability, and the Calculus of Evidence}}, booktitle = {Classic Works of the Dempster-Shafer Theory of Belief Functions}, publisher = {Springer Berlin Heidelberg}, address = {Berlin, Heidelberg}, pages = {435--448}, doi = {10.1007/978-3-540-44792-4_17}, ) @article(conf:pldi:SankaranarayananC2013, author = {Sriram Sankaranarayanan and Aleksandar Chakarov and Sumit Gulwani}, year = {2013}, title = {{Static analysis for probabilistic programs}}, journal = {ACM SIGPLAN Notices}, volume = {48}, number = {6}, pages = {447}, doi = {10.1145/2499370.2462179}, ) @article(Shafer1990, author = {Glenn Shafer}, year = {1990}, title = {{Perspectives on the theory and practice of belief functions}}, journal = {International Journal of Approximate Reasoning}, volume = {4}, number = {5-6}, pages = {323--362}, doi = {10.1016/0888-613X(90)90012-Q}, )