NDLI: Integrating proxy theories and numeric model lifting for floating-point arithmetic

Please wait, while we are loading the content...

Formal verification for computer security: lessons learned and future directions

Understanding evolution through algorithms

Network verification: when Clarke meets Cerf

Machine learning and systems for the next frontier in formal verification

Verifying hyperproperties of hardware systems

A paradigm shift in verification methodology

Program synthesis for networks

The FMCAD 2016 graduate student forum

Soundness of the quasi-synchronous abstraction

Synthesizing adaptive test strategies from temporal logic specifications

Reducing interpolant circuit size by ad-hoc logic synthesis and SAT-based weakening

Extracting behaviour from an executable instruction set model

Categorical semantics of digital circuits

Equivalence checking by logic relaxation

Minimal unsatisfiable core extraction for SMT

Efficient uninterpreted function abstraction and refinement for word-level model checking

Optimizing horn solvers for network repair

On ∃ ∀ ∃! solving: a case study on automated synthesis of magic card tricks

Property-directed k-induction

Lazy proofs for DPLL(T)-based SMT solvers

Verifiable hierarchical protocols with network invariants on parametric systems

Modular specification and verification of a cache-coherent interface

Proof certificates for SMT-based model checkers for infinite-state systems

Routing under constraints

A consistency checker for memory subsystem traces

Hybrid partial order reduction with under-approximate dynamic points-to and determinacy information

Formal verification of division and square root implementations, an Oracle report

Integrating proxy theories and numeric model lifting for floating-point arithmetic

Trustworthy specifications of ARM® v8-A and v8-M system level architecture

Equivalence checking using Gröbner bases

Accurate ICP-based floating-point reasoning

Swapper: a framework for automatic generation of formula simplifiers based on conditional rewrite rules

Lazy sequentialization for TSO and PSO via shared memory abstractions

Combining requirement mining, software model checking and simulation-based verification for industrial automotive systems

Integrating proxy theories and numeric model lifting for floating-point arithmetic

Content Provider	ACM Digital Library
Author	Ramachandran, Jaideep Wahl, Thomas
Abstract	Precise reasoning for floating-point arithmetic (FPA) is as critical for accurate software analysis as it is hard to achieve. Several recent approaches reduce solving an FPA formula f to reasoning over a related but easier-to-solve proxy theory. The rationale is that a satisfying proxy assignment may directly correspond to a model for f. But what if it doesn't? Prior work deals with this case somewhat crudely, or discards the proxy assignment altogether. In this paper we present an FPA decision framework, parameterized by the choice of proxy theory T, that attempts to lift an encountered T model to a numerically close FPA model. Other than assuming some "proximity" of T to FPA, our lifting procedure is T-agnostic; it is in fact designed to work independently of how the proxy assignment was obtained. Should the lifting fail, our procedure gradually reduces the gap between the FPA and the proxy interpretations of f. We have instantiated the framework using real arithmetic and reduced-precision FPA as proxy theories, and demonstrate that we can, in many cases, decide f more efficiently than earlier work.
Starting Page	153
Ending Page	160
Page Count	8
File Format	PDF
ISBN	9780983567868
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2016-10-03
Publisher Place	Austin
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Handling floating-point exceptions in numeric programs

Required scientific floating point arithmetic

Parameterizable floating-point library for arithmetic operations in FPGAs

Exploiting the Performance of 32 bit Floating Point Arithmetic in Obtaining 64 bit Accuracy (Revisiting Iterative Refinement for Linear Systems)

An Automatable Formal Semantics for IEEE-754 Floating-Point Arithmetic

Newton-Raphson algorithms for floating-point division using an FMA

Floating point CORDIC-based architecture for powering computation

A Formal Model of IEEE Floating Point Arithmetic (2014)

A monte-carlo floating-point unit for self-validating arithmetic

Integrating proxy theories and numeric model lifting for floating-point arithmetic

Similar Documents

Handling floating-point exceptions in numeric programs

Required scientific floating point arithmetic

Parameterizable floating-point library for arithmetic operations in FPGAs

Exploiting the Performance of 32 bit Floating Point Arithmetic in Obtaining 64 bit Accuracy (Revisiting Iterative Refinement for Linear Systems)

An Automatable Formal Semantics for IEEE-754 Floating-Point Arithmetic

Newton-Raphson algorithms for floating-point division using an FMA

Floating point CORDIC-based architecture for powering computation

A Formal Model of IEEE Floating Point Arithmetic (2014)

A monte-carlo floating-point unit for self-validating arithmetic

Integrating proxy theories and numeric model lifting for floating-point arithmetic