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A nominal approach to probabilistic separation logic
JM Li, J Aytac, P Johnson-Freyd, A Ahmed… - Proceedings of the 39th …, 2024 - dl.acm.org
Currently, there is a gap between the tools used by probability theorists and those used in
formal reasoning about probabilistic programs. On the one hand, a probability theorist …
formal reasoning about probabilistic programs. On the one hand, a probability theorist …
Error credits: Resourceful reasoning about error bounds for higher-order probabilistic programs
Probabilistic programs often trade accuracy for efficiency, and thus may, with a small
probability, return an incorrect result. It is important to obtain precise bounds for the …
probability, return an incorrect result. It is important to obtain precise bounds for the …
Outcome separation logic: local reasoning for correctness and incorrectness with computational effects
Separation logic's compositionality and local reasoning properties have led to significant
advances in scalable static analysis. But program analysis has new challenges—many …
advances in scalable static analysis. But program analysis has new challenges—many …
Compiling probabilistic programs for variable elimination with information flow
A key promise of probabilistic programming is the ability to specify rich models using an
expressive program-ming language. However, the expressive power that makes …
expressive program-ming language. However, the expressive power that makes …
Tachis: Higher-Order Separation Logic with Credits for Expected Costs
PG Haselwarter, KH Li, M de Medeiros… - Proceedings of the …, 2024 - dl.acm.org
We present Tachis, a higher-order separation logic to reason about the expected cost of
probabilistic programs. Inspired by the uses of time credits for reasoning about the running …
probabilistic programs. Inspired by the uses of time credits for reasoning about the running …
Equivalence and Conditional Independence in Atomic Sheaf Logic
A Simpson - Proceedings of the 39th Annual ACM/IEEE Symposium …, 2024 - dl.acm.org
We propose a semantic foundation for logics for reasoning in settings that possess a
distinction between equality of variables, a coarser equivalence of variables, and a notion of …
distinction between equality of variables, a coarser equivalence of variables, and a notion of …
Bluebell: An Alliance of Relational Lifting and Independence For Probabilistic Reasoning
We present Bluebell, a program logic for reasoning about probabilistic programs where
unary and relational styles of reasoning come together to create new reasoning tools. Unary …
unary and relational styles of reasoning come together to create new reasoning tools. Unary …
Approximate Relational Reasoning for Higher-Order Probabilistic Programs
Properties such as provable security and correctness for randomized programs are naturally
expressed relationally as approximate equivalences. As a result, a number of relational …
expressed relationally as approximate equivalences. As a result, a number of relational …
Language-Based Security for Low-Level MPC
Secure Multi-Party Computation (MPC) is an important enabling technology for data privacy
in modern distributed applications. Currently, proof methods for low-level MPC protocols are …
in modern distributed applications. Currently, proof methods for low-level MPC protocols are …
An Iris for Expected Cost Analysis
J Lohse, D Garg - arxiv preprint arxiv:2406.00884, 2024 - arxiv.org
We present ExpIris, a separation logic framework for the (amortized) expected cost analysis
of probabilistic programs. ExpIris is based on Iris, parametric in the language and the cost …
of probabilistic programs. ExpIris is based on Iris, parametric in the language and the cost …