Part I: The Probabilistic Lambda-Calculus and its Semantics.- Introduction.- Syntax and Operational Semantics.- The Working Probabilistic Lambda Calculus.- Properties of the Markov Chain Semantics.- Denotational Semantics.- Semantical Correspondences.- Categorical Treatment.- Probabilism and Non-Determinism.- Part II: Natural Probabilistic Reasoning.- On Natural Two-Tier Semantics for Propositional Logics.- Natural Semantics of Propositions.- Finite Discrete Stochastics Reconsidered.- Lambda-Calculus Definitions.- Markov Chains.- Basic Logic Language and Semantics Definitions.- References.- Index.
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