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Quantitative Bounds on Resource Usage of Probabilistic Programs

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

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Developing and Reasoning About Probabilistic Programs in pGCL
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An Abstract Analysis of the Probabilistic Termination of Programs
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Termination of Nondeterministic Probabilistic Programs
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Tail Probabilities for Randomized Program Runtimes via Martingales for Higher Moments
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Automatic Generation of Moment-Based Invariants for Prob-Solvable Loops
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Automated Termination Analysis of Polynomial Probabilistic Programs
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Learning Probabilistic Termination Proofs
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Sound and Complete Certificates for Quantitative Termination Analysis of Probabilistic Programs
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A Simple and Scalable Static Analysis for Bound Analysis and Amortized Complexity Analysis
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Termination Analysis of Probabilistic Programs Through Positivstellensatz’s
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PSI: Exact Symbolic Inference for Probabilistic Programs
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An Assertion-Based Program Logic for Probabilistic Programs
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How long, O Bayesian network, will I sample thee?
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Constraint-Based Linear-Relations Analysis
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Bisimulation and Logical Preservation for Continuous-Time Markov Decision Processes
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Z3: An Efficient SMT Solver
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Delayed Nondeterminism in Continuous-Time Markov Decision Processes
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Amortized Resource Analysis with Polynomial Potential
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Multi-dimensional Rankings, Program Termination, and Complexity Bounds of Flowchart Programs
inferredcites →https://doi.org/10.1007/978-3-642-23702-7_22openalex-snapshot
Bound Analysis of Imperative Programs with the Size-Change Abstraction
inferredcites →https://doi.org/10.1007/978-3-642-31424-7_64openalex-snapshot
Resource Aware ML
inferredcites →https://doi.org/10.1007/978-3-642-39799-8_34openalex-snapshot
Probabilistic Program Analysis with Martingales
inferredcites →https://doi.org/10.1007/978-3-7091-3406-1_6openalex-snapshot
Quantifier Elimination for Real Closed Fields: A Guide to the Literature
inferredcites →https://doi.org/10.1007/b138392openalex-snapshot
Abstraction, Refinement and Proof for Probabilistic Systems
inferredcites →https://doi.org/10.1007/s10817-016-9402-4openalex-snapshot
Complexity and Resource Bound Analysis of Imperative Programs Using Difference Constraints
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Semantics of probabilistic programs
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Accelerated Invariant Generation for C Programs with Aspic and C2fsm
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Block withholding game among bitcoin mining pools
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A decidable propositional dynamic logic with explicit probabilities
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On the computational complexity and geometry of the first-order theory of the reals. Part III: Quantifier elimination
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Probability with Martingales
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Probabilistic machine learning and artificial intelligence
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Solving Inequalities and Proving Farkas's Lemma Made Easy
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Supermartingales, Ranking Functions and Probabilistic Lambda Calculus
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Bitcoin Block Withholding Attack: Analysis and Mitigation
inferredcites →https://doi.org/10.1145/1480881.1480894openalex-snapshot
Formal certification of code-based cryptographic proofs
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SPEED
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The reachability-bound problem
inferredcites →https://doi.org/10.1145/2362389.2362393openalex-snapshot
Multivariate amortized resource analysis
inferredcites →https://doi.org/10.1145/2593882.2593900openalex-snapshot
Probabilistic programming
inferredcites →https://doi.org/10.1145/2676726.2677001openalex-snapshot
Probabilistic Termination
inferredcites →https://doi.org/10.1145/2737924.2737955openalex-snapshot
Compositional certified resource bounds
inferredcites →https://doi.org/10.1145/2933575.2935317openalex-snapshot
Reasoning about Recursive Probabilistic Programs
inferredcites →https://doi.org/10.1145/3009837.3009842openalex-snapshot
Towards automatic resource bound analysis for OCaml
inferredcites →https://doi.org/10.1145/3009837.3009858openalex-snapshot
Relational cost analysis
inferredcites →https://doi.org/10.1145/3009837.3009873openalex-snapshot
Stochastic invariants for probabilistic termination
inferredcites →https://doi.org/10.1145/3062341.3062373openalex-snapshot
Compositional recurrence analysis revisited
inferredcites →https://doi.org/10.1145/3064899.3064910openalex-snapshot
Design and Implementation of Probabilistic Programming Language Anglican
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Conditioning in Probabilistic Programming
inferredcites →https://doi.org/10.1145/3158121openalex-snapshot
A new proof rule for almost-sure termination
inferredcites →https://doi.org/10.1145/3158122openalex-snapshot
Lexicographic ranking supermartingales: an efficient approach to termination of probabilistic programs
inferredcites →https://doi.org/10.1145/3158124openalex-snapshot
Monadic refinements for relational cost analysis
inferredcites →https://doi.org/10.1145/3174800openalex-snapshot
Algorithmic Analysis of Qualitative and Quantitative Termination Problems for Affine Probabilistic Programs
inferredcites →https://doi.org/10.1145/3192366.3192394openalex-snapshot
Bounded expectations: resource analysis for probabilistic programs
inferredcites →https://doi.org/10.1145/3208102openalex-snapshot
Weakest Precondition Reasoning for Expected Runtimes of Randomized Algorithms
inferredcites →https://doi.org/10.1145/3314221.3314581openalex-snapshot
Cost analysis of nondeterministic probabilistic programs
inferredcites →https://doi.org/10.1145/3314221.3314603openalex-snapshot
Bidirectional type checking for relational properties
inferredcites →https://doi.org/10.1145/3341696openalex-snapshot
Relational cost analysis for functional-imperative programs
inferredcites →https://doi.org/10.1145/3360555openalex-snapshot
Modular verification for almost-sure termination of probabilistic programs
inferredcites →https://doi.org/10.1145/3371093openalex-snapshot
Proving expected sensitivity of probabilistic programs with randomized variable-dependent termination time
inferredcites →https://doi.org/10.1145/3385412.3385969openalex-snapshot
Polynomial invariant generation for non-deterministic recursive programs
inferredcites →https://doi.org/10.1145/3385412.3386002openalex-snapshot
Proving almost-sure termination by omega-regular decomposition
inferredcites →https://doi.org/10.1145/3408992openalex-snapshot
Raising expectations: automating expected cost analysis with types
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Relatively complete verification of probabilistic programs: an expressive language for expectation-based reasoning
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A pre-expectation calculus for probabilistic sensitivity
inferredcites →https://doi.org/10.1145/3450967openalex-snapshot
Ranking and Repulsing Supermartingales for Reachability in Randomized Programs
inferredcites →https://doi.org/10.1145/3453483.3454062openalex-snapshot
Central moment analysis for cost accumulators in probabilistic programs
inferredcites →https://doi.org/10.1145/3453483.3454076openalex-snapshot
Polynomial reachability witnesses via Stellensätze
inferredcites →https://doi.org/10.1145/3453483.3454093openalex-snapshot
Proving non-termination by program reversal
inferredcites →https://doi.org/10.1145/3453483.3454111openalex-snapshot
On probabilistic termination of functional programs with continuous distributions
inferredcites →https://doi.org/10.1145/3519939.3523435openalex-snapshot
Differential cost analysis with simultaneous potentials and anti-potentials
inferredcites →https://doi.org/10.1145/3519939.3523721openalex-snapshot
Guaranteed bounds for posterior inference in universal probabilistic programming
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On Lexicographic Proof Rules for Probabilistic Termination
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Theorie der einfachen Ungleichungen.
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Representing polynomials by positive linear functions on compact convex polyhedra
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Of Cores: A Partial-Exploration Framework for Markov Decision Processes
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Pyro: Deep Universal Probabilistic Programming
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Artefact for: Quantitative Bounds on Resource Usage of Probabilistic Programs
inferredcites →https://doi.org/10.7717/peerj-cs.103openalex-snapshot
SymPy: symbolic computing in Python

What points at this work

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

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