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A Verified Decision Procedure for Univariate Real Arithmetic with the BKR Algorithm
We formalize the univariate fragment of Ben-Or, Kozen, and Reif's (BKR) ...
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Switched Systems as Hybrid Programs
Real world systems of interest often feature interactions between discre...
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Deductive Stability Proofs for Ordinary Differential Equations
Stability is required for real world controlled systems as it ensures th...
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Pegasus: Sound Continuous Invariant Generation
Continuous invariants are an important component in deductive verificati...
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An Axiomatic Approach to Existence and Liveness for Differential Equations
This article presents an axiomatic approach for deductive verification o...
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Constructive Game Logic
Game Logic is an excellent setting to study proofs-about-programs via th...
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Refining Constructive Hybrid Games
We extend the constructive differential game logic (CdGL) of hybrid game...
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Constructive Hybrid Games
Hybrid games are models which combine discrete, continuous, and adversar...
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Overview of Logical Foundations of Cyber-Physical Systems
Cyber-physical systems (CPSs) are important whenever computer technology...
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Toward Structured Proofs for Dynamic Logics
We present Kaisar, a structured interactive proof language for different...
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Differential Equation Invariance Axiomatization
This article proves the completeness of an axiomatization for differenti...
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Towards Physical Hybrid Systems
Some hybrid systems models are unsafe for mathematically correct but phy...
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An Axiomatic Approach to Liveness for Differential Equations
This paper presents an approach for deductive liveness verification for ...
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Blackbox End-to-End Verification of Ground Robot Safety and Liveness
We formally prove end-to-end correctness of a ground robot implemented i...
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Uniform Substitution At One Fell Swoop
Uniform substitution of function, predicate, program or game symbols is ...
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Uniform Substitution in One Fell Swoop
Uniform substitution of function, predicate, program or game symbols is ...
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Verifiably Safe Off-Model Reinforcement Learning
The desire to use reinforcement learning in safety-critical settings has...
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HyPLC: Hybrid Programmable Logic Controller Program Translation for Verification
Programmable Logic Controllers (PLCs) provide a prominent choice of impl...
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Verified Runtime Validation for Partially Observable Hybrid Systems
Formal verification provides strong safety guarantees about models of cy...
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Uniform Substitution for Differential Game Logic
This paper presents a uniform substitution calculus for differential gam...
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Differential Equation Axiomatization: The Impressive Power of Differential Ghosts
We prove the completeness of an axiomatization for differential equation...
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