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Floating-point Algorithms and Formal Proofs: A Didactic Tour with Coq explores floating-point arithmetic, a tool that is ubiquitous in modern computing as the tool of choice to approximate real numbers. Due to its limited range and precision, its use can become quite involved and cause numerous failures.To avoid this and increase confidence in floating-point software, the use of the computer-assisted verification of correctness proof is necessary, hence the Coq proof assistant, the tool dedicated to such a task that is comprehensively discussed throughout this book.Describes the notions of specification and weakest precondition computation and their practical useShows how to tackle algorithms that extend beyond the realm of simple floating-point arithmeticIncludes real analysis and a case study about numerical analysis"
Floating-point Algorithms and Formal Proofs: A Didactic Tour with Coq explores floating-point arithmetic, a tool that is ubiquitous in modern computing as the tool of choice to approximate real numbers. Due to its limited range and precision, its use can become quite involved and cause numerous failures.To avoid this and increase confidence in floating-point software, the use of the computer-assisted verification of correctness proof is necessary, hence the Coq proof assistant, the tool dedicated to such a task that is comprehensively discussed throughout this book.Describes the notions of specification and weakest precondition computation and their practical useShows how to tackle algorithms that extend beyond the realm of simple floating-point arithmeticIncludes real analysis and a case study about numerical analysis"