NDLI: A framework for testing first-order logic axioms in program verification

Content Provider	Springer Nature Link
Author	Ahn, Ki Yung Denney, Ewen
Copyright Year	2011
Abstract	Program verification systems based on automated theorem provers rely on user-provided axioms in order to verify domain-specific properties of code. However, formulating axioms correctly (that is, formalizing properties of an intended mathematical interpretation) is non-trivial in practice, and avoiding or even detecting unsoundness can sometimes be difficult to achieve. Moreover, speculating soundness of axioms based on the output of the provers themselves is not easy since they do not typically give counterexamples. We adopt the idea of model-based testing to aid axiom authors in discovering errors in axiomatizations. To test the validity of axioms, users define a computational model of the axiomatized logic by giving interpretations to the function symbols and constants in a simple declarative programming language. We have developed an axiom testing framework that helps automate model definition and test generation using off-the-shelf tools for meta-programming, property-based random testing, and constraint solving. We have experimented with our tool to test the axioms used in Auto-Cert, a program verification system that has been applied to verify aerospace flight code using a first-order axiomatization of navigational concepts, and were able to find counterexamples for a number of axioms.
Starting Page	159
Ending Page	200
Page Count	42
File Format	PDF
ISSN	09639314
Journal	Software Quality Journal
Volume Number	21
Issue Number	1
e-ISSN	15731367
Language	English
Publisher	Springer US
Publisher Date	2011-11-16
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Model-based testing Program verification Automated theorem proving Property-based testing Constraint solving Software Engineering/Programming and Operating Systems Programming Languages, Compilers, Interpreters Data Structures, Cryptology and Information Theory Operating Systems
Content Type	Text
Resource Type	Article
Subject	Safety, Risk, Reliability and Quality Media Technology Software

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

FAST: a framework for automating statistics-based testing

Automated refinement of models for model-based testing using exploratory testing

PBCOV: a property-based coverage criterion

Specification-based Testing for Gui-based Applications

Verifying B proof rules using deep embedding and automated theorem proving

Rapid goal-oriented automated software testing using MEA-graph planning

Automated GUI performance testing

Relational analysis of (co)inductive predicates, (co)algebraic datatypes, and (co)recursive functions

A Pattern-Based Framework for Software Anomaly Detection

A framework for testing first-order logic axioms in program verification

Similar Documents

FAST: a framework for automating statistics-based testing

Automated refinement of models for model-based testing using exploratory testing

PBCOV: a property-based coverage criterion

Specification-based Testing for Gui-based Applications

Verifying B proof rules using deep embedding and automated theorem proving

Rapid goal-oriented automated software testing using MEA-graph planning

Automated GUI performance testing

Relational analysis of (co)inductive predicates, (co)algebraic datatypes, and (co)recursive functions

A Pattern-Based Framework for Software Anomaly Detection

A framework for testing first-order logic axioms in program verification