Linked bibliography for the SEP article "Logic and Probability" by Lorenz Demey, Barteld Kooi and Joshua Sack

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Abadi, M. and Halpern, J. Y., 1994, “Decidability and Expressiveness for First-Order Logics of Probability,” Information and Computation, 112: 1–36. (Scholar)
Adams, E. W. and Levine, H. P., 1975, “On the Uncertainties Transmitted from Premisses to Conclusions in Deductive Inferences,” Synthese, 30: 429–460. (Scholar)
Adams, E. W., 1998, A Primer of Probability Logic, Stanford, CA: CSLI Publications. (Scholar)
Arló Costa, H., 2005, “Non-Adjunctive Inference and Classical Modalities,” Journal of Philosophical Logic, 34: 581–605. (Scholar)
Bacchus, F., 1990, Representing and Reasoning with Probabilistic Knowledge, Cambridge, MA: The MIT Press. (Scholar)
Baltag, A. and Smets, S., 2008, “Probabilistic Dynamic Belief Revision,” Synthese, 165: 179–202. (Scholar)
van Benthem, J., 2017, “Against all odds: when logic meets probability”, in ModelEd, TestEd, TrustEd. Essays Dedicated to Ed Brinksma on the Occasion of His 60th Birthday, J. P. Katoen, R. Langerak and A. Rensink (eds.), Cham: Springer, pp. 239–253. (Scholar)
van Benthem, J., Gerbrandy, J., and Kooi, B., 2009, “Dynamic Update with Probabilities,” Studia Logica, 93: 67–96. (Scholar)
Boole, G., 1854, An Investigation of the Laws of Thought, on which are Founded the Mathematical Theories of Logic and Probabilities, London: Walton and Maberly. (Scholar)
Burgess, J., 1969, “Probability Logic,” Journal of Symbolic Logic, 34: 264–274. (Scholar)
Carnap, R., 1950, Logical Foundations of Probability, Chicago, IL: University of Chicago Press. (Scholar)
Cross, C., 1993, “From Worlds to Probabilities: A Probabilistic Semantics for Modal Logic,” Journal of Philosophical Logic, 22: 169–192. (Scholar)
Delgrande, J. and Renne, B., 2015, “The Logic of Qualitative Probability,” in Proceedings of the Twenty-Fourth International Joint Conference on Artificial Intelligence (IJCAI 2015), Q. Yang and M. Wooldridge (eds.), Palo Alto, CA: AAAI Press, pp. 2904–2910. (Scholar)
Delgrande, J., Renne, B., and Sack, J., 2019, “The logic of qualitative probability,” Artificial Intelligence, 275: 457–486. (Scholar)
Delgrande, J., Sack, J., Lakemeyer, G., and Pagnucco, M., 2022, “Epistemic Logic of Likelihood and Belief,” in Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence (IJCAI-22), published by the International Joint Conferences on Artificial Intelligence, pp. 2599–2605. [Delgrande et al. 2022 available online (Scholar)
Demey, L. and Kooi, B., 2014, “Logic and Probabilistic Update,” in A. Baltag and S. Smets (eds.), Johan van Benthem on Logic and Information Dynamics, pp. 381–404. (Scholar)
Demey, L. and Sack, J., 2015, “Epistemic Probabilistic Logic,” in the Handbook of Epistemic Logic. H. van Ditmarsch, J. Halpern, W. van der Hoek and B. Kooi (eds.), London: College Publications, pp. 147–202. (Scholar)
Dempster, A., 1968, “A Generalization of Bayesian Inference,” Journal of the Royal Statistical Society, 30: 205–247. (Scholar)
De Morgan, A., 1847, Formal Logic, London: Taylor and Walton. (Scholar)
de Finetti, B., 1937, “La Prévision: Ses Lois Logiques, Ses Sources Subjectives”, Annales de l’Institut Henri Poincaré, 7: 1–68; translated as “Foresight. Its Logical Laws, Its Subjective Sources,” in Studies in Subjective Probability, H. E. Kyburg, Jr. and H. E. Smokler (eds.), Malabar, FL: R. E. Krieger Publishing Company, 1980, pp. 53–118. (Scholar)
Douven, I. and Rott, H., 2018, “From probabilities to categorical beliefs: Going beyond toy models,” Journal of Logic and Computation, 28: 1099–1124. (Scholar)
Eagle, A., 2010, Philosophy of Probability: Contemporary Readings, London: Routledge. (Scholar)
Fagin, R. and Halpern, J. Y., 1988, “Reasoning about Knowledge and Probability,” in Proceedings of the 2nd conference on Theoretical aspects of reasoning about knowledge, M. Y. Vardi (ed.), Pacific Grove, CA: Morgan Kaufmann, pp. 277–293. (Scholar)
–––, 1994, “Reasoning about Knowledge and Probability,” Journal of the ACM, 41: 340–367. (Scholar)
Fagin, R., Halpern, J. Y., and Megiddo, N., 1990, “A Logic for Reasoning about Probabilities,” Information and Computation, 87: 78–128. (Scholar)
Fitelson, B., 2006, “Inductive Logic,” in The Philosophy of Science: An Encyclopedia, J. Pfeifer and S. Sarkar (eds.), New York, NY: Routledge, pp. 384–394. (Scholar)
van Fraassen, B., 1981a, “A Problem for Relative Information Minimizers in Probability Kinematics,” British Journal for the Philosophy of Science, 32:375–379. (Scholar)
–––, 1981b, “Probabilistic Semantics Objectified: I. Postulates and Logics,” Journal of Philosophical Logic, 10: 371–391. (Scholar)
–––, 1983, “Gentlemen’s Wagers: Relevant Logic and Probability,” Philosophical Studies, 43: 47–61. (Scholar)
–––, 1984, “Belief and the Will,” Journal of Philosophy, 81: 235–256. (Scholar)
Gärdenfors, P., 1975a, “Qualitative Probability as an Intensional Logic,” Journal of Philosophical Logic, 4: 171–185. (Scholar)
–––, 1975b, “Some Basic Theorems of Qualitative Probability,” Studia Logica, 34: 257–264. (Scholar)
Georgakopoulos, G., Kavvadias, D., and Papadimitriou, C. H., 1988, “Probabilistic Satisfiability,” Journal of Complexity, 4: 1–11. (Scholar)
Gerla, G., 1994, “Inferences in Probability Logic,” Aritificial Intelligence, 70: 33–52. (Scholar)
Gillies, D., 2000, Philosophical Theories of Probability, London: Routledge. (Scholar)
Goldblatt, R. (2010) “Deduction systems for coalgebras over measurable spaces.” Journal of Logic and Computation 20(5): 1069–1100 (Scholar)
Goldman, A. J. and Tucker, A. W., 1956, “Theory of Linear Programming,” in Linear Inequalities and Related Systems. Annals of Mathematics Studies 38, H. W. Kuhn and A. W. Tucker (eds.), Princeton: Princeton University Press, pp. 53–98. (Scholar)
Goosens, W. K., 1979, “Alternative Axiomatizations of Elementary Probability Theory,” Notre Dame Journal of Formal Logic, 20: 227–239. (Scholar)
Hájek, A., 2001, “Probability, Logic, and Probability Logic,” in The Blackwell Guide to Philosophical Logic, L. Goble (ed.), Oxford: Blackwell, pp. 362–384. (Scholar)
Hájek, A. and Hartmann, S., 2010, “Bayesian Epistemology,” in A Companion to Epistemology, J. Dancy, E. Sosa, and M. Steup (eds.), Oxford: Blackwell, pp. 93–106. (Scholar)
Haenni, R. and Lehmann, N., 2003, “Probabilistic Argumentation Systems: a New Perspective on Dempster-Shafer Theory,” International Journal of Intelligent Systems, 18: 93–106. (Scholar)
Haenni, R., Romeijn, J.-W., Wheeler, G., and Williamson, J., 2011, Probabilistic Logics and Probabilistic Networks, Dordrecht: Springer. (Scholar)
Hailperin, T., 1965, “Best Possible Inequalities for the Probability of a Logical Function of Events,” American Mathematical Monthly, 72: 343–359. (Scholar)
–––, 1984, “Probability Logic,” Notre Dame Journal of Formal Logic, 25: 198–212. (Scholar)
–––, 1986, Boole’s Logic and Probability, Amsterdam: North-Holland. (Scholar)
–––, 1996, Sentential Probability Logic: Origins, Development, Current Status, and Technical Applications, Bethlehem, PA: Lehigh University Press. (Scholar)
Halpern, J. Y. and Rabin, M. O., 1987, “A Logic to Reason about Likelihood”, Artificial Intelligence, 32: 379–405. (Scholar)
Halpern, J. Y., 1990, “An analysis of first-order logics of probability”, Artificial Intelligence, 46: 311–350. (Scholar)
–––, 1991, “The Relationship between Knowledge, Belief, and Certainty,” Annals of Mathematics and Artificial Intelligence, 4: 301–322. Errata appeared in Annals of Mathematics and Artificial Intelligence, 26 (1999): 59–61. (Scholar)
–––, 2003, Reasoning about Uncertainty, Cambridge, MA: The MIT Press. (Scholar)
Hamblin, C.L., 1959, “The modal ‘probably’”, Mind, 68: 234–240. (Scholar)
Hansen, P. and Jaumard, B., 2000, “Probabilistic Satisfiability,” in Handbook of Defeasible Reasoning and Uncertainty Management Systems. Volume 5: Algorithms for Uncertainty and Defeasible Reasoning, J. Kohlas and S. Moral (eds.), Dordrecht: Kluwer, pp. 321–367. (Scholar)
Harrison-Trainor M., Holliday, W. H., and Icard, T., 2016, “A note on cancellation axioms for comparative probability”, Theory and Decision, 80: 159–166.
–––, 2018, “Inferring probability comparisons”, Mathematical Social Sciences, 91: 62–70. (Scholar)
Hartmann, S. and Sprenger J., 2010, “Bayesian Epistemology,” in Routledge Companion to Epistemology, S. Bernecker and D. Pritchard (eds.), London: Routledge, pp. 609–620. (Scholar)
Heifetz, A. and Mongin, P., 2001, “Probability Logic for Type Spaces”, Games and Economic Behavior, 35: 31–53. (Scholar)
Herzig, A. and Longin, D., 2003, “On Modal Probability and Belief,” in Proceedings of the 7th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2003), T.D. Nielsen and N.L. Zhang (eds.), Lecture Notes in Computer Science 2711, Berlin: Springer, pp. 62–73. (Scholar)
Hoover, D. N., 1978, “Probability Logic,” Annals of Mathematical Logic, 14: 287–313. (Scholar)
Howson, C., 2003, “Probability and Logic,” Journal of Applied Logic, 1: 151–165. (Scholar)
–––, 2007, “Logic with Numbers,” Synthese, 156: 491–512. (Scholar)
–––, 2009, “Can Logic be Combined with Probability? Probably,” Journal of Applied Logic, 7: 177–187. (Scholar)
Ilić-Stepić, Ognjanović, Z., Ikodinović, N., Perović, A., (2012), “A \(p\)-adic probability logic,” Mathematical Logic Quarterly 58(4–5): 63–280.
Jaynes, E. T., 2003, Probability Theory: The Logic of Science, Cambridge: Cambridge University Press. (Scholar)
Jeffrey, R., 1992, Probability and the Art of Judgement, Cambridge: Cambridge University Press. (Scholar)
Jonsson, B., Larsen, K., and Yi, W., 2001 “Probabilistic Extensions of Process Algebras,” in Handbook of Process Algebra, J. A. Bergstra, A. Ponse, and S. A. Smolka (eds.), Amsterdam: Elsevier, pp. 685–710. (Scholar)
Kavvadias, D. and Papadimitriou, C. H., 1990, “A Linear Programming Approach to Reasoning about Probabilities,” Annals of Mathematics and Artificial Intelligence, 1: 189–205. (Scholar)
Keisler, H. J., 1985, “Probability Quantifiers,” in Model-Theoretic Logics, J. Barwise and S. Feferman (eds.), New York, NY: Springer, pp. 509–556. (Scholar)
Kooi B. P., 2003, “Probabilistic Dynamic Epistemic Logic,” Journal of Logic, Language and Information, 12: 381–408. (Scholar)
Kraft, C. H., Pratt, J. W., and Seidenberg, A., 1959, “Intuitive Probability on Finite Sets,” Annals of Mathematical Statistics, 30: 408–419. (Scholar)
Kyburg, H. E., 1965, “Probability, Rationality, and the Rule of Detachment,” in Proceedings of the 1964 International Congress for Logic, Methodology, and Philosophy of Science, Y. Bar-Hillel (ed.), Amsterdam: North-Holland, pp. 301–310. (Scholar)
–––, 1994, “Uncertainty Logics, ” in Handbook of Logic in Artificial Intelligence and Logic Programming, D. M. Gabbay, C. J. Hogger, and J. A. Robinson (eds.), Oxford: Oxford University Press, pp. 397–438. (Scholar)
Larsen, K. and Skou, A., 1991, “Bisimulation through Probabilistic Testing,” Information and Computation, 94: 1–28. (Scholar)
Leblanc, H., 1979, “Probabilistic Semantics for First-Order Logic,” Zeitschrift für mathematische Logik und Grundlagen der Mathematik, 25: 497–509. (Scholar)
–––, 1983, “Alternatives to Standard First-Order Semantics,” in Handbook of Philosophical Logic, Volume I, D. Gabbay and F. Guenthner (eds.), Dordrecht: Reidel, pp. 189–274. (Scholar)
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Lewis, D., 1980, “A Subjectivist’s Guide to Objective Chance,” in Studies in Inductive Logic and Probability. Volume 2, R. C. Jeffrey (ed.), Berkeley, CA: University of California Press, pp. 263–293; reprinted in Philosophical Papers. Volume II, Oxford: Oxford University Press, 1987, pp. 83–113. (Scholar)
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Morgan, C., 1982a, “There is a Probabilistic Semantics for Every Extension of Classical Sentence Logic,” Journal of Philosophical Logic, 11: 431–442. (Scholar)
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