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Abstraction, Refinement and Proof for Probabilistic Systems

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/0-387-27006-x_7openalex-snapshot
Proved rules for probabilistic loops
inferredcites →https://doi.org/10.1007/978-1-4471-5355-9_3openalex-snapshot
Data Refinement and Simulations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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The Challenge of Probabilistic Event B—Extended Abstract—
inferred← citeshttps://doi.org/10.1007/11415787_21openalex-snapshot
Development via Refinement in Probabilistic B — Foundation and Case Study
inferred← citeshttps://doi.org/10.1007/11423348_12openalex-snapshot
Of Probabilistic wp and CSP—and Compositionality
inferred← citeshttps://doi.org/10.1007/11526841_9openalex-snapshot
Compositional Specification and Analysis of Cost-Based Properties in Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/11560647_29openalex-snapshot
Quantitative Temporal Logic Mechanized in HOL
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Towards Automated Proof Support for Probabilistic Distributed Systems
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Formal Modeling and Analysis of Timed Systems
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Unifying Probability
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The Shadow Knows: Refinement of Ignorance in Sequential Programs
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Proofs of Randomized Algorithms in Coq
inferred← citeshttps://doi.org/10.1007/11813040_10openalex-snapshot
Quantitative Refinement and Model Checking for the Analysis of Probabilistic Systems
inferred← citeshttps://doi.org/10.1007/11817949_5openalex-snapshot
Probability and Nondeterminism in Operational Models of Concurrency
inferred← citeshttps://doi.org/10.1007/11828563_20openalex-snapshot
Using Probabilistic Kleene Algebra for Protocol Verification
inferred← citeshttps://doi.org/10.1007/11828563_3openalex-snapshot
Computations and Relational Bundles
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Reasoning Algebraically About Probabilistic Loops
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Programming-Logic Analysis of Fault Tolerance: Expected Performance of Self-stabilisation
inferred← citeshttps://doi.org/10.1007/11921240_4openalex-snapshot
Quantitative μ-Calculus Analysis of Power Management in Wireless Networks
inferred← citeshttps://doi.org/10.1007/978-1-4471-5355-9_2openalex-snapshot
Simple Refinement
inferred← citeshttps://doi.org/10.1007/978-3-030-02768-1_11openalex-snapshot
New Approaches for Almost-Sure Termination of Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-030-02928-9_3openalex-snapshot
Formalizing Hoare Logic in PVS
inferred← citeshttps://doi.org/10.1007/978-3-030-11245-5_22openalex-snapshot
Termination of Nondeterministic Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-030-28377-3_47openalex-snapshot
Refining the Imprecise Meaning of Non-determinism in the Web by Strategic Games
inferred← citeshttps://doi.org/10.1007/978-3-030-29436-6_16openalex-snapshot
Computing Expected Runtimes for Constant Probability Programs
inferred← citeshttps://doi.org/10.1007/978-3-030-31784-3_15openalex-snapshot
Automatic Generation of Moment-Based Invariants for Prob-Solvable Loops
inferred← citeshttps://doi.org/10.1007/978-3-030-45234-6_9openalex-snapshot
Computing Program Reliability Using Forward-Backward Precondition Analysis and Model Counting
inferred← citeshttps://doi.org/10.1007/978-3-030-53291-8_27openalex-snapshot
PrIC3: Property Directed Reachability for MDPs
inferred← citeshttps://doi.org/10.1007/978-3-030-55089-9_3openalex-snapshot
Weakest Preexpectation Semantics for Bayesian Inference
inferred← citeshttps://doi.org/10.1007/978-3-030-61362-4_12openalex-snapshot
Correctness by Construction for Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-030-64276-1_12openalex-snapshot
Analysis of Bayesian Networks via Prob-Solvable Loops
inferred← citeshttps://doi.org/10.1007/978-3-030-68446-4_12openalex-snapshot
Generating Functions for Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-030-72016-2_14openalex-snapshot
Inferring Expected Runtimes of Probabilistic Integer Programs Using Expected Sizes
inferred← citeshttps://doi.org/10.1007/978-3-030-81688-9_25openalex-snapshot
Latticed k-Induction with an Application to Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-030-88701-8_28openalex-snapshot
Automated Reasoning for Probabilistic Sequential Programs with Theorem Proving
inferred← citeshttps://doi.org/10.1007/978-3-030-90870-6_33openalex-snapshot
On Lexicographic Proof Rules for Probabilistic Termination
inferred← citeshttps://doi.org/10.1007/978-3-030-92124-8_16openalex-snapshot
A Debugger for Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-030-94583-1_22openalex-snapshot
Out of Control: Reducing Probabilistic Models by Control-State Elimination
inferred← citeshttps://doi.org/10.1007/978-3-031-13185-1_3openalex-snapshot
Data-Driven Invariant Learning for Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-031-13185-1_4openalex-snapshot
Sound and Complete Certificates for Quantitative Termination Analysis of Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-031-13185-1_5openalex-snapshot
Does a Program Yield the Right Distribution?
inferred← citeshttps://doi.org/10.1007/978-3-031-37709-9_5openalex-snapshot
MDPs as Distribution Transformers: Affine Invariant Synthesis for Safety Objectives
inferred← citeshttps://doi.org/10.1007/978-3-031-57267-8openalex-snapshot
Programming Languages and Systems
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On the Hardness of Analyzing Quantum Programs Quantitatively
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Uncertainty and Probabilistic UTP
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A Tour Through the Programming Choices: Semantics and Applications
inferred← citeshttps://doi.org/10.1007/978-3-031-73709-1_10openalex-snapshot
The ProbInG Project: Advancing Automatic Analysis of Probabilistic Loops
inferred← citeshttps://doi.org/10.1007/978-3-031-75775-4_16openalex-snapshot
Model Checking and Strategy Synthesis with Abstractions and Certificates
inferred← citeshttps://doi.org/10.1007/978-3-031-75783-9_13openalex-snapshot
Towards a Proof System for Probabilistic Dynamic Logic
inferred← citeshttps://doi.org/10.1007/978-3-031-75783-9_14openalex-snapshot
Annotated Dependency Pairs for Full Almost-Sure Termination of Probabilistic Term Rewriting
inferred← citeshttps://doi.org/10.1007/978-3-031-75783-9_2openalex-snapshot
Sound and Complete Techniques for Reasoning About Termination
inferred← citeshttps://doi.org/10.1007/978-3-031-75783-9_6openalex-snapshot
Symbolic Quantitative Information Flow for Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-031-75783-9_7openalex-snapshot
Static Slicing for Probabilistic Programs: An Overview
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Polar: An Algebraic Analyzer for (Probabilistic) Loops
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Quantum Computing: From Weakest Preconditions to Voltage Pulses
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Probabilistic Datatypes
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A Program Logic for Concurrent Randomized Programs in the Oblivious Adversary Model
inferred← citeshttps://doi.org/10.1007/978-3-031-91118-7_15openalex-snapshot
Verifying Algorithmic Versions of the Lovász Local Lemma
inferred← citeshttps://doi.org/10.1007/978-3-031-98679-6_4openalex-snapshot
On the Almost-Sure Termination of Probabilistic Counter Programs
inferred← citeshttps://doi.org/10.1007/978-3-032-11176-0_16openalex-snapshot
Weighted Automata for Exact Inference in Discrete Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-319-03545-1_17openalex-snapshot
Formalizing Probabilistic Noninterference
inferred← citeshttps://doi.org/10.1007/978-3-319-06251-8_8openalex-snapshot
Preparing Relational Algebra for “Just Good Enough” Hardware
inferred← citeshttps://doi.org/10.1007/978-3-319-08970-6_12openalex-snapshot
From Operational Models to Information Theory; Side Channels in pGCL with Isabelle
inferred← citeshttps://doi.org/10.1007/978-3-319-10936-7_6openalex-snapshot
Expectation Invariants for Probabilistic Program Loops as Fixed Points
inferred← citeshttps://doi.org/10.1007/978-3-319-21690-4_44openalex-snapshot
Counterexample-Guided Polynomial Loop Invariant Generation by Lagrange Interpolation
inferred← citeshttps://doi.org/10.1007/978-3-319-39519-7_16openalex-snapshot
On Dynamical Probabilities, or: How to Learn to Shoot Straight
inferred← citeshttps://doi.org/10.1007/978-3-319-43425-4_14openalex-snapshot
Inferring Covariances for Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-319-46520-3_5openalex-snapshot
Bounded Model Checking for Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-319-63390-9_31openalex-snapshot
A Storm is Coming: A Modern Probabilistic Model Checker
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Probabilistic Horn Clause Verification
inferred← citeshttps://doi.org/10.1007/978-3-319-68167-2_26openalex-snapshot
Finding Polynomial Loop Invariants for Probabilistic Programs
inferred← citeshttps://doi.org/10.1007/978-3-319-89884-1_7openalex-snapshot
How long, O Bayesian network, will I sample thee?
inferred← citeshttps://doi.org/10.1007/978-3-319-91476-3_19openalex-snapshot
Web Apps and Imprecise Probabilitites
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The 10,000 Facets of MDP Model Checking
inferred← citeshttps://doi.org/10.1007/978-3-319-92711-4_12openalex-snapshot
Conclusions
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Proofs and Refutations for Probabilistic Refinement
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Probabilistic Choice in Refinement Algebra
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Scalar Outcomes Suffice for Finitary Probabilistic Testing
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Qualitative Probabilistic Modelling in Event-B
inferred← citeshttps://doi.org/10.1007/978-3-540-73368-3_38openalex-snapshot
Magnifying-Lens Abstraction for Markov Decision Processes
inferred← citeshttps://doi.org/10.1007/978-3-540-76650-6_13openalex-snapshot
Automating Refinement Checking in Probabilistic System Design
inferred← citeshttps://doi.org/10.1007/978-3-540-85361-9_23openalex-snapshot
Least Upper Bounds for Probability Measures and Their Applications to Abstractions
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From ABZ to Cryptography
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Ensemble Engineering and Emergence
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Formal Ensemble Engineering
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Abstraction Refinement for Probabilistic Software
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The Secret Art of Computer Programming
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Testing Finitary Probabilistic Processes
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Unifying Probability with Nondeterminism
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Security, Probability and Nearly Fair Coins in the Cryptographers’ Café
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Programming Language Techniques for Cryptographic Proofs
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Compositional Closure for Bayes Risk in Probabilistic Noninterference
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Linear-Invariant Generation for Probabilistic Programs:
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Towards Probabilistic Modelling in Event-B
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Probabilistic Choice, Reversibility, Loops, and Miracles
inferred← citeshttps://doi.org/10.1007/978-3-642-16690-7_2openalex-snapshot
UTP and Sustainability
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Measure Transformer Semantics for Bayesian Machine Learning
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On Probabilistic Kleene Algebras, Automata and Simulations
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Quantitative Verification of System Safety in Event-B
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Probabilistic Compositional Reasoning for Guaranteeing Fault Tolerance Properties
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Probabilistic Abstract Interpretation
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Dexter Kozen’s Influence on the Theory of Labelled Markov Processes
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Formal Modelling and Verification of Service-Oriented Systems in Probabilistic Event-B
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Elementary Probability Theory in the Eindhoven Style
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Typed Linear Algebra for Weigthed (Probabilistic) Automata
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Unifying Theories of Programming with Monads
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A Probabilistic Theory of Designs Based on Distributions
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Practical Probability: Applying pGCL to Lattice Scheduling
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From Distributions to Probabilistic Reactive Programs
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Probabilistic Program Analysis with Martingales
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Prinsys—On a Quest for Probabilistic Loop Invariants
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Abstract Channels and Their Robust Information-Leakage Ordering
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Sealed Containers in Z
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Stochastic Model Checking. Rigorous Dependability Analysis Using Model Checking Techniques for Stochastic Systems
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A Theory for the Semantics of Stochastic and Non-deterministic Continuous Systems
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Approximate Counting in SMT and Value Estimation for Probabilistic Programs
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On the Hardness of Almost–Sure Termination
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Probabilistic NetKAT
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Weakest Precondition Reasoning for Expected Run–Times of Probabilistic Programs
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An Assertion-Based Logic for Local Reasoning about Probabilistic Programs
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Tank monitoring: a pAMN case study
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A unification of probabilistic choice within a design-based model of reversible computation
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Refinement algebra for probabilistic programs
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A probability perspective
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Compositional noninterference from first principles
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Probabilistic verification of Herman’s self-stabilisation algorithm
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Layered reasoning for randomized distributed algorithms
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Probabilistic may/must testing: retaining probabilities by restricted schedulers
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Towards a linear algebra of programming
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Exploring probabilistic bisimulations, part I
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Integrating stochastic reasoning into Event-B development
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Algebraic reasoning for probabilistic action systems and while-loops
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Reasoning about faulty quantum programs
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Approximate counting in SMT and value estimation for probabilistic programs
inferred← citeshttps://doi.org/10.1007/s00236-018-0321-1openalex-snapshot
On the hardness of analyzing probabilistic programs
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Verification of randomized consensus algorithms under round-rigid adversaries
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Introducing probabilistic reasoning within Event-B
inferred← citeshttps://doi.org/10.1007/s10626-023-00375-xopenalex-snapshot
Mixed Nondeterministic-Probabilistic Automata
inferred← citeshttps://doi.org/10.1007/s10703-010-0097-6openalex-snapshot
A game-based abstraction-refinement framework for Markov decision processes
inferred← citeshttps://doi.org/10.1007/s10703-019-00331-2openalex-snapshot
Quantitative static analysis of communication protocols using abstract Markov chains
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Data-driven invariant learning for probabilistic programs
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The computational complexity of QoS measures for orchestrations
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Formally Analyzing Expected Time Complexity of Algorithms Using Theorem Proving
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Topology, randomness and noise in process calculus
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Logic for quantum programs
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Quantum case statements
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Bibliography
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Introduction
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Quantum Hoare logic
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Quantum case statements
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An elementary proof that Herman's Ring is
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Stepwise refinement of sequence diagrams with soft real-time constraints
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“Keep definition, change category” — A practical approach to state-based system calculi
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Program algebra for quantitative information flow
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On the inner structure of multirelations
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Using probabilistic Kleene algebra pKA for protocol verification
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Generating counterexamples for quantitative safety specifications in probabilistic B
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Relations into algebras of probabilistic distributions
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Abstracting probabilistic models: Relations, constraints and beyond
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Proofs of randomized algorithms in Coq
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The Shadow Knows: Refinement and security in sequential programs
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Reasoning about almost-certain convergence properties using Event-B
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An old new notation for elementary probability theory
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A study of risk-aware program transformation
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Formal reasoning about resilient goal-oriented multi-agent systems
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Automated urban train control with hybrid Event-B: ‘Tackling’ the rugby club problem
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Slicing of probabilistic programs based on specifications
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Proof rules for the correctness of quantum programs
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Relating direct and predicate transformer partial correctness semantics for an imperative probabilistic-nondeterministic language
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Moment-based analysis of Bayesian network properties
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Formal semantics of a classical-quantum language
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Probabilistic unifying relations for modelling epistemic and aleatoric uncertainty: Semantics and automated reasoning with theorem proving
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On Probabilistic λ-Calculi
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Expected Runtime Analyis by Program Verification
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Termination Analysis of Probabilistic Programs with Martingales
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Quantitative Analysis of Programs with Probabilities and Concentration of Measure Inequalities
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Quantitative Information Flow with Monads in Haskell
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A trustful monad for axiomatic reasoning with probability and nondeterminism
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Quantum weakest preconditions
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Predicate transformers for extended probability and non-determinism
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Weakest preconditions in fibrations
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