Continuous-Eris is a new separation logic that verifies exact samplers for the uniform, Gaussian, and Laplace distributions plus an exact real arithmetic library, with all proofs machine-checked in Rocq.
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Evidence-tracked tape semantics yields a higher-order logic for randomized programs in which entailments are witnessed by uniform evidence transformers and quantitative probabilities arise by interpretation under a chosen tape measure.
GPLC is a gradual source probabilistic lambda calculus formalized with probabilistic couplings for static relations, elaborated to a distribution-based target language TPLC, and proven type-safe with conservative extension and gradual guarantee properties.
citing papers explorer
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Verifying Exact Samplers for Continuous Distributions with a Discrete Program Logic
Continuous-Eris is a new separation logic that verifies exact samplers for the uniform, Gaussian, and Laplace distributions plus an exact real arithmetic library, with all proofs machine-checked in Rocq.
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Evidence-Tracked Tape Semantics for Probabilistic Computation
Evidence-tracked tape semantics yields a higher-order logic for randomized programs in which entailments are witnessed by uniform evidence transformers and quantitative probabilities arise by interpretation under a chosen tape measure.
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A Gradual Probabilistic Lambda Calculus
GPLC is a gradual source probabilistic lambda calculus formalized with probabilistic couplings for static relations, elaborated to a distribution-based target language TPLC, and proven type-safe with conservative extension and gradual guarantee properties.