Hyperfinite models of adapted probability logic

DOI10.1016/0168-0072(86)90063-1zbMath0601.03005OpenAlexW1982874112MaRDI QIDQ1080845

H. Jerome Keisler

Publication date: 1986

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(86)90063-1

zbMATH Keywords

continuous time stochastic processeshomogeneity properties

Mathematics Subject Classification ID

Probability and inductive logic (03B48) Axioms; other general questions in probability (60A05) Nonstandard models (03H99)

Related Items

A completeness proof for adapted probability logic, Adapted Probability Distributions, A p-adic probability logic, Rich and saturated adapted spaces, Elementary embeddings and games in adapted probability logic, Completeness theorems for \(\sigma \)-additive probabilistic semantics

Cites Work

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• Foundations of infinitesimal stochastic analysis
• Probability logic with conditional expectation
• A completeness proof for adapted probability logic
• A non-standard representation for Brownian motion and Ito integration
• Model theory
• A characterization of nonstandard liftings of measurable functions and stochastic processes
• Some model theoretic results for \(\omega\)-logic
• Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
• Nonstandard Measure Theory and its Applications
• An infinitesimal approach to stochastic analysis
• A functional approach to nonstandard measure theory
• Adapted Probability Distributions
• The strength of nonstandard methods in arithmetic
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• Probability logic