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Sound and complete certificates for quantitative termination analysis of probabilistic programs
We consider the quantitative problem of obtaining lower-bounds on the probability of
termination of a given non-deterministic probabilistic program. Specifically, given a non …
termination of a given non-deterministic probabilistic program. Specifically, given a non …
Algebro-geometric algorithms for template-based synthesis of polynomial programs
Template-based synthesis, also known as sketching, is a localized approach to program
synthesis in which the programmer provides not only a specification, but also a high-level" …
synthesis in which the programmer provides not only a specification, but also a high-level" …
Unifying qualitative and quantitative safety verification of DNN-controlled systems
The rapid advance of deep reinforcement learning techniques enables the oversight of
safety-critical systems through the utilization of Deep Neural Networks (DNNs). This …
safety-critical systems through the utilization of Deep Neural Networks (DNNs). This …
Polynomial reachability witnesses via Stellensätze
We consider the fundamental problem of reachability analysis over imperative programs
with real variables. Previous works that tackle reachability are either unable to handle …
with real variables. Previous works that tackle reachability are either unable to handle …
Ranking and repulsing supermartingales for reachability in randomized programs
Computing reachability probabilities is a fundamental problem in the analysis of randomized
programs. This article aims at a comprehensive and comparative account of various …
programs. This article aims at a comprehensive and comparative account of various …
Automated expected amortised cost analysis of probabilistic data structures
In this paper, we present the first fully-automated expected amortised cost analysis of self-
adjusting data structures, that is, of randomised splay trees, randomised splay heaps and …
adjusting data structures, that is, of randomised splay trees, randomised splay heaps and …
[PDF][PDF] Automated termination analysis of polynomial probabilistic programs
The termination behavior of probabilistic programs depends on the outcomes of random
assignments. Almost sure termination (AST) is concerned with the question whether a …
assignments. Almost sure termination (AST) is concerned with the question whether a …
A modular cost analysis for probabilistic programs
We present a novel methodology for the automated resource analysis of non-deterministic,
probabilistic imperative programs, which gives rise to a modular approach. Program …
probabilistic imperative programs, which gives rise to a modular approach. Program …
Tail probabilities for randomized program runtimes via martingales for higher moments
S Kura, N Urabe, I Hasuo - Tools and Algorithms for the Construction and …, 2019 - Springer
Programs with randomization constructs is an active research topic, especially after the
recent introduction of martingale-based analysis methods for their termination and runtimes …
recent introduction of martingale-based analysis methods for their termination and runtimes …
Automated Verification of Higher-Order Probabilistic Programs via a Dependent Refinement Type System
S Kura, H Unno - Proceedings of the ACM on Programming Languages, 2024 - dl.acm.org
Verification of higher-order probabilistic programs is a challenging problem. We present a
verification method that supports several quantitative properties of higher-order probabilistic …
verification method that supports several quantitative properties of higher-order probabilistic …