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Elements of mathematical analysis in PVS
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/3-540-57826-9_134openalex-snapshot
Extending the HOL theorem prover with a computer algebra system to reason about the reals
inferredcites →https://doi.org/10.1007/3-540-58468-4_158openalex-snapshot
Correctness of real time systems by construction
inferredcites →https://doi.org/10.1007/3-540-60275-5_65openalex-snapshot
Floating point verification in HOL
inferredcites →https://doi.org/10.1007/bf00881906openalex-snapshot
IMPS: An interactive mathematical proof system
inferredcites →https://doi.org/10.1007/bf01384233openalex-snapshot
Constructing the real numbers in HOL
inferredcites →https://doi.org/10.1090/notiopenalex-snapshot
Notices of the American Mathematical Society
inferredcites →https://doi.org/10.1109/32.345827openalex-snapshot
Formal verification for fault-tolerant architectures: prolegomena to the design of PVS
inferredcites →https://doi.org/10.1109/wift.1995.515475openalex-snapshot
Formal verification of the AAMP5 microprocessor: a case study in the industrial use of formal methods
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/11541868_13openalex-snapshot
Real Number Calculations and Theorem Proving
inferred← citeshttps://doi.org/10.1007/3-540-39185-1_7openalex-snapshot
A Constructive Formalization of the Fundamental Theorem of Calculus
inferred← citeshttps://doi.org/10.1007/3-540-44659-1_13openalex-snapshot
Transcendental Functions and Continuity Checking in PVS
inferred← citeshttps://doi.org/10.1007/3-540-44659-1_6openalex-snapshot
Aircraft Trajectory Modeling and Alerting Algorithm Verification
inferred← citeshttps://doi.org/10.1007/3-540-44755-5_4openalex-snapshot
Computer Algebra Meets Automated Theorem Proving: Integrating Maple and PVS
inferred← citeshttps://doi.org/10.1007/3-540-44798-9_31openalex-snapshot
Formal Verification of Conflict Detection Algorithms
inferred← citeshttps://doi.org/10.1007/3-540-48660-7_8openalex-snapshot
VSDITLU: A Verifiable Symbolic Definite Integral Table Look-Up
inferred← citeshttps://doi.org/10.1007/3-540-61648-9_32openalex-snapshot
Unifying verification paradigms
inferred← citeshttps://doi.org/10.1007/978-3-030-57506-9_1openalex-snapshot
Co-simulation and Verification of a Non-linear Control System for Cogging Torque Reduction in Brushless Motors
inferred← citeshttps://doi.org/10.1007/978-3-031-42441-0_2openalex-snapshot
Towards a Basic Theory for Partial Differentiation in the Prototype Verification System
inferred← citeshttps://doi.org/10.1007/978-3-031-60698-4_12openalex-snapshot
Towards Formal Verification of Neural Networks in Cyber-Physical Systems
inferred← citeshttps://doi.org/10.1007/978-3-319-74781-1_21openalex-snapshot
Integrated Simulation and Formal Verification of a Simple Autonomous Vehicle
inferred← citeshttps://doi.org/10.1007/978-3-540-24743-2_16openalex-snapshot
Extended Stochastic Hybrid Systems and Their Reachability Problem
inferred← citeshttps://doi.org/10.1007/978-3-540-24756-2_2openalex-snapshot
Design Verification for Control Engineering
inferred← citeshttps://doi.org/10.1007/978-3-540-71067-7_19openalex-snapshot
Real Number Calculations and Theorem Proving
inferred← citeshttps://doi.org/10.1007/978-3-540-76650-6_7openalex-snapshot
Machine-Assisted Proof Support for Validation Beyond Simulink
inferred← citeshttps://doi.org/10.1007/978-3-642-14052-5_12openalex-snapshot
Formal Proof of a Wave Equation Resolution Scheme: The Method Error
inferred← citeshttps://doi.org/10.1007/bfb0000475openalex-snapshot
Floating point verification in HOL light: The exponential function
inferred← citeshttps://doi.org/10.1007/s00165-012-0232-9openalex-snapshot
Applications of real number theorem proving in PVS
inferred← citeshttps://doi.org/10.1007/s10009-002-0084-3openalex-snapshot
Formal verification of conflict detection algorithms
inferred← citeshttps://doi.org/10.1007/s10817-012-9255-4openalex-snapshot
Wave Equation Numerical Resolution: A Comprehensive Mechanized Proof of a C Program
inferred← citeshttps://doi.org/10.1007/s10817-016-9379-zopenalex-snapshot
A Formalisation in HOL of the Fundamental Theorem of Linear Algebra and Its Application to the Solution of the Least Squares Problem
inferred← citeshttps://doi.org/10.1007/s10817-018-9498-9openalex-snapshot
Formalization of Geometric Algebra in HOL Light
inferred← citeshttps://doi.org/10.1007/s11416-019-00344-9openalex-snapshot
Formalization and co-simulation of attacks on cyber-physical systems
inferred← citeshttps://doi.org/10.1007/s11786-014-0181-1openalex-snapshot
Coquelicot: A User-Friendly Library of Real Analysis for Coq
inferred← citeshttps://doi.org/10.1016/j.engappai.2024.109238openalex-snapshot
Neural networks in closed-loop systems: Verification using interval arithmetic and formal prover
inferred← citeshttps://doi.org/10.1016/j.ipl.2016.02.001openalex-snapshot
Verifying safety properties of a nonlinear control by interactive theorem proving with the Prototype Verification System
inferred← citeshttps://doi.org/10.1016/j.jsc.2004.12.005openalex-snapshot
Hidden verification for computational mathematics
inferred← citeshttps://doi.org/10.1017/s0960129511000077openalex-snapshot
Formal proofs for theoretical properties of Newton's method
inferred← citeshttps://doi.org/10.1017/s0960129514000437openalex-snapshot
Formalization of real analysis: a survey of proof assistants and libraries
inferred← citeshttps://doi.org/10.1023/a:1008712907154openalex-snapshot
Floating Point Verification in HOL Light: The Exponential Function
inferred← citeshttps://doi.org/10.1109/icfem.1998.730571openalex-snapshot
Defining differentiation and integration in Z
inferred← citeshttps://doi.org/10.1109/tc.2008.213openalex-snapshot
Verified Real Number Calculations: A Library for Interval Arithmetic
inferred← citeshttps://doi.org/10.1109/tse.2004.1274043openalex-snapshot
Using hammock graphs to structure programs
inferred← citeshttps://doi.org/10.1145/309831.309949openalex-snapshot
Automated theorem proving in support of computer algebra
inferred← citeshttps://doi.org/10.1145/383876.383877openalex-snapshot
Automated deductive requirements analysis of critical systems
inferred← citeshttps://doi.org/10.4204/eptcs.338.7openalex-snapshot
A Logic Theory Pattern for Linearized Control Systems
inferred← citeshttps://doi.org/10.5072/zenodo.73983openalex-snapshot
Definite Integration of Parametric Rational Functions: Applying a DITLU
inferred← citeshttps://doi.org/10.5220/0007705307000708openalex-snapshot
Modeling and Simulation of Attacks on Cyber-physical Systems
inferred← citeshttps://doi.org/10.6092/issn.1972-5787/1349openalex-snapshot
Formalization of the Integral Calculus in the PVS Theorem Prover
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