Semantics, specification logic, and Hoare logic of exact real computation
From MaRDI portal
Publication:6563064
DOI10.46298/LMCS-20(2:17)2024MaRDI QIDQ6563064
Eike Neumann, Norbert Th. Müller, Pieter Collins, Michal Konečný, Norbert Preining, Se Won Park, Gyesik Lee, Martin Ziegler, Franz Brauße, Sunyoung Kim
Publication date: 27 June 2024
Published in: Logical Methods in Computer Science (Search for Journal in Brave)
decidabilityHoare logiccomputable analysisimperative programmingKleene logicreliable numericsTuring-completeness
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Quantifier elimination for the reals with a predicate for the powers of two
- The field of reals with a predicate for the powers of two
- LCF considered as a programming language
- A fundamental effect in computations on real numbers
- Feasible real random access machines
- Computation by `While' programs on topological partial algebras
- PCF extended with real numbers
- Integration in Real PCF
- Fifty years of Hoare's logic
- Topological complexity with continuous operations
- Semantics of a sequential language for exact real-number computation
- Classroom examples of robustness problems in geometric computations
- On computable numbers, with an application to the Entscheidungsproblem.
- Complexity Theory for Operators in Analysis
- Spaces allowing Type‐2 Complexity Theory revisited
- The Undecidability of Algebraic Rings and Fields
- RealLib: An efficient implementation of exact real arithmetic
- Proving Bounds on Real-Valued Functions with Computations
- Theories of Programming Languages
- Combining Coq and Gappa for Certifying Floating-Point Programs
- A Powerdomain Construction
- Soundness and Completeness of an Axiom System for Program Verification
- A Real Number Structure that is Effectively Categorical
- Complexity Theory of (Functions on) Compact Metric Spaces
- Effectivity in Spaces with Admissible Multirepresentations
- Computational complexity on computable metric spaces
- A new Characterization of Type-2 Feasibility
- A Language for Differentiable Functions
- Abstract Datatypes for Real Numbers in Type Theory
- Abstract versus concrete computation on metric partial algebras
- Why3 — Where Programs Meet Provers
- Polymorphism and separation in hoare type theory
- Some undecidable problems involving elementary functions of a real variable
- An axiomatic basis for computer programming
- Analytic Inequalities
- The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra
- ROUNDING-OFF ERRORS IN MATRIX PROCESSES
This page was built for publication: Semantics, specification logic, and Hoare logic of exact real computation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6563064)