Theory of recursive functions and effective computability
Theory of recursive functions and effective computability
LUSTRE: a declarative language for real-time programming
POPL '87 Proceedings of the 14th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
Introduction to algorithms
How to read floating point numbers accurately
PLDI '90 Proceedings of the ACM SIGPLAN 1990 conference on Programming language design and implementation
How to print floating-point numbers accurately
PLDI '90 Proceedings of the ACM SIGPLAN 1990 conference on Programming language design and implementation
What every computer scientist should know about floating-point arithmetic
ACM Computing Surveys (CSUR)
Methods and logics for proving programs
Handbook of theoretical computer science (vol. B)
Abstract interpretation and application to logic programs
Journal of Logic Programming
The formal semantics of programming languages: an introduction
The formal semantics of programming languages: an introduction
An axiomatic basis for computer programming
Communications of the ACM
Modern Compiler Implementation in C: Basic Techniques
Modern Compiler Implementation in C: Basic Techniques
Java Language Specification, Second Edition: The Java Series
Java Language Specification, Second Edition: The Java Series
The Java Language Specification
The Java Language Specification
Propagation of Roundoff Errors in Finite Precision Computations: A Semantics Approach
ESOP '02 Proceedings of the 11th European Symposium on Programming Languages and Systems
Abstract Interpretation-Based Certification of Assembly Code
VMCAI 2003 Proceedings of the 4th International Conference on Verification, Model Checking, and Abstract Interpretation
Static Analysis of the Numerical Stability of Loops
SAS '02 Proceedings of the 9th International Symposium on Static Analysis
A static analyzer for large safety-critical software
PLDI '03 Proceedings of the ACM SIGPLAN 2003 conference on Programming language design and implementation
The K5 transcendental functions
ARITH '95 Proceedings of the 12th Symposium on Computer Arithmetic
WCRE '01 Proceedings of the Eighth Working Conference on Reverse Engineering (WCRE'01)
A rigorous framework for fully supporting the ieee standard for floating-point arithmetic in high-level programming languages
Java(TM) Language Specification, The (3rd Edition) (Java (Addison-Wesley))
Java(TM) Language Specification, The (3rd Edition) (Java (Addison-Wesley))
Semantics of roundoff error propagation in finite precision calculations
Higher-Order and Symbolic Computation
Formal Verification of Floating-Point Programs
ARITH '07 Proceedings of the 18th IEEE Symposium on Computer Arithmetic
ESOP'05 Proceedings of the 14th European conference on Programming Languages and Systems
Automatic modular abstractions for linear constraints
Proceedings of the 36th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Program transformation for numerical precision
Proceedings of the 2009 ACM SIGPLAN workshop on Partial evaluation and program manipulation
Towards an Industrial Use of FLUCTUAT on Safety-Critical Avionics Software
FMICS '09 Proceedings of the 14th International Workshop on Formal Methods for Industrial Critical Systems
A termination analyzer for Java bytecode based on path-length
ACM Transactions on Programming Languages and Systems (TOPLAS)
Enhancing the implementation of mathematical formulas for fixed-point and floating-point arithmetics
Formal Methods in System Design
Towards program optimization through automated analysis of numerical precision
Proceedings of the 8th annual IEEE/ACM international symposium on Code generation and optimization
Proceedings of the 19th international symposium on Software testing and analysis
Static analysis of finite precision computations
VMCAI'11 Proceedings of the 12th international conference on Verification, model checking, and abstract interpretation
Proofs of numerical programs when the compiler optimizes
Innovations in Systems and Software Engineering
Trustworthy numerical computation in Scala
Proceedings of the 2011 ACM international conference on Object oriented programming systems languages and applications
Towards the profiling of scientific software for accuracy
Proceedings of the 2011 Conference of the Center for Advanced Studies on Collaborative Research
Multi-Prover verification of floating-point programs
IJCAR'10 Proceedings of the 5th international conference on Automated Reasoning
Hardware-dependent proofs of numerical programs
CPP'11 Proceedings of the First international conference on Certified Programs and Proofs
A generic ellipsoid abstract domain for linear time invariant systems
Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control
Modifying test suite composition to enable effective predicate-level statistical debugging
NFM'12 Proceedings of the 4th international conference on NASA Formal Methods
Mobile robot localization by multiangulation using set inversion
Robotics and Autonomous Systems
A new abstract domain for the representation of mathematically equivalent expressions
SAS'12 Proceedings of the 19th international conference on Static Analysis
Automatic detection of floating-point exceptions
POPL '13 Proceedings of the 40th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages
ACM Transactions on Mathematical Software (TOMS)
On-the-fly detection of instability problems in floating-point program execution
Proceedings of the 2013 ACM SIGPLAN international conference on Object oriented programming systems languages & applications
Consistency analysis of decision-making programs
Proceedings of the 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages
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Current critical systems often use a lot of floating-point computations, and thus the testing or static analysis of programs containing floating-point operators has become a priority. However, correctly defining the semantics of common implementations of floating-point is tricky, because semantics may change according to many factors beyond source-code level, such as choices made by compilers. We here give concrete examples of problems that can appear and solutions for implementing in analysis software.