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Verification of IEEE compliant subtractive division algorithms

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-59047-1_42openalex-snapshot
Non-restoring integer square root: A case study in design by principled optimization
inferredcites →https://doi.org/10.1007/3-540-59293-8openalex-snapshot
TAPSOFT '95: Theory and Practice of Software Development
inferredcites →https://doi.org/10.1007/3-540-59293-8_189openalex-snapshot
Anatomy of the Pentium bug
inferredcites →https://doi.org/10.1007/3-540-60275-5_65openalex-snapshot
Floating point verification in HOL
inferredcites →https://doi.org/10.1007/3-540-61474-5_62openalex-snapshot
Verifying the SRT division algorithm using theorem proving techniques
inferredcites →https://doi.org/10.1007/3-540-61474-5_63openalex-snapshot
Modular verification of SRT division
inferredcites →https://doi.org/10.1007/bf01383955openalex-snapshot
A proof of the nonrestoring division algorithm and its implementation on an ALU
inferredcites →https://doi.org/10.1016/s1474-6670(17)44819-1openalex-snapshot
DRS - Derivational Reasoning System: A Digital Design Derivation System for Hardware Synthesis *
inferredcites →https://doi.org/10.1109/32.24710openalex-snapshot
Formal methods applied to a floating-point number system
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/arith.1981.6159293openalex-snapshot
Compatible hardware for division and square root
inferredcites →https://doi.org/10.1109/arith.1987.6158683openalex-snapshot
A formal approach to rounding
inferredcites →https://doi.org/10.1109/iccad.1995.479878openalex-snapshot
The formal verification of a pipelined double-precision IEEE floating-point multiplier
inferredcites →https://doi.org/10.1109/iccd.1995.528918openalex-snapshot
Verification of a subtractive radix-2 square root algorithm and implementation
inferredcites →https://doi.org/10.1145/1478786.1478840openalex-snapshot
A unified algorithm for elementary functions
inferredcites →https://doi.org/10.1201/9781315275567openalex-snapshot
Computer Arithmetic Algorithms
inferredcites →https://doi.org/10.25291/vr/1987-vr-854openalex-snapshot
PRACTICE NOTE No 2 of 1987
inferredcites →https://doi.org/10.5555/224841.224851openalex-snapshot
The formal verification of a pipelined double-precision IEEE floating-point multiplier

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/3-540-44798-9_26openalex-snapshot
Formal Verification of the VAMP Floating Point Unit
inferred← citeshttps://doi.org/10.1007/3-540-47884-1_11openalex-snapshot
Formalization of Cadence SPW Fixed-Point Arithmetic in HOL
inferred← citeshttps://doi.org/10.1007/3-540-48119-2_26openalex-snapshot
Structural Embeddings: Mechanization with Method
inferred← citeshttps://doi.org/10.1007/3-540-48257-1_24openalex-snapshot
PVS: An Experience Report
inferred← citeshttps://doi.org/10.1007/3-540-49366-2_3openalex-snapshot
Mechanizing Reasoning about Large Finite Tables in a Rewrite Based Theorem Prover
inferred← citeshttps://doi.org/10.1007/3-540-62034-6_36openalex-snapshot
Mechanized formal methods: Progress and prospects
inferred← citeshttps://doi.org/10.1007/978-0-387-35190-2_17openalex-snapshot
Integrated Reasoning Support in System Design: Design Derivation and Theorem Proving
inferred← citeshttps://doi.org/10.1007/978-3-540-39724-3_29openalex-snapshot
Linear and Nonlinear Arithmetic in ACL2
inferred← citeshttps://doi.org/10.1007/978-3-540-39893-6_13openalex-snapshot
Modeling SystemC Fixed-Point Arithmetic in HOL
inferred← citeshttps://doi.org/10.1007/978-3-642-60858-2_26openalex-snapshot
Machine-Assisted Verification Using Theorem Proving and Model Checking
inferred← citeshttps://doi.org/10.1007/bfb0000475openalex-snapshot
Floating point verification in HOL light: The exponential function
inferred← citeshttps://doi.org/10.1007/bfb0031801openalex-snapshot
Hierarchical verification of two-dimensional high-speed multiplication in PVS: A case study
inferred← citeshttps://doi.org/10.1007/bfb0035400openalex-snapshot
Integration in PVS: Tables, types, and model checking
inferred← citeshttps://doi.org/10.1007/bfb0058026openalex-snapshot
Mechanizing verification of arithmetic circuits: SRT division
inferred← citeshttps://doi.org/10.1007/pl00010808openalex-snapshot
Using an induction prover for verifying arithmetic circuits
inferred← citeshttps://doi.org/10.1007/s10009-003-0120-yopenalex-snapshot
Properties of two’s complement floating point notations
inferred← citeshttps://doi.org/10.1007/s10703-005-1613-yopenalex-snapshot
Formal Verification of the VAMP Floating Point Unit
inferred← citeshttps://doi.org/10.1007/s10703-005-2256-8openalex-snapshot
Formalization of Fixed-Point Arithmetic in HOL
inferred← citeshttps://doi.org/10.1007/s10836-024-06123-9openalex-snapshot
Formal Verification of Universal Numbers using Theorem Proving
inferred← citeshttps://doi.org/10.1023/a:1008617612073openalex-snapshot
Modular Verification of SRT Division
inferred← citeshttps://doi.org/10.1023/a:1008669628911openalex-snapshot
A Mechanically Checked Proof of Correctness of the AMD K5 Floating Point Square Root Microcode
inferred← citeshttps://doi.org/10.1023/a:1008712907154openalex-snapshot
Floating Point Verification in HOL Light: The Exponential Function
inferred← citeshttps://doi.org/10.1093/comjnl/bxp023openalex-snapshot
Verifying a Synthesized Implementation of IEEE-754 Floating-Point Exponential Function using HOL
inferred← citeshttps://doi.org/10.1109/12.713311openalex-snapshot
A mechanically checked proof of the AMD5/sub K/86/sup TM/ floating-point division program
inferred← citeshttps://doi.org/10.1109/cmpass.1995.521893openalex-snapshot
NASA Langley's research and technology-transfer program in formal methods
inferred← citeshttps://doi.org/10.1145/1141277.1141586openalex-snapshot
Provably faithful evaluation of polynomials
inferred← citeshttps://doi.org/10.1145/307988.307989openalex-snapshot
Formal verification in hardware design
inferred← citeshttps://doi.org/10.22028/d291-25704openalex-snapshot
Formal verification of a fully IEEE compliant floating point unit
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