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Ashish Tiwari
Research Interests
Formal Methods, Equational Reasoning, Term Rewriting, Saturation-based
Theorem Proving, Mathematical Logic, Decision Procedures;
Hybrid Systems, Abstraction, Application to BioInformatics, Air Traffic
Control, Smart Vehicles.
Upcoming Conferences
HSCC 2006: Hybrid Systems: Computation and Control , Mar 29--31, Santa Barbara.
RTA 2006: Rewriting Techniques and Applications , Aug 12-15, 2006, Seattle, Wasington.
LPAR-12, 2005: 12th Intl. Conf. on Logic for Programming Artificial Intelligence and Reasoning , Montego Bay, Jamaica, 2nd-6th Dec 2005.
FroCoS 2005:
Frontiers of Combining Systems ,
Sept 19-21, 2005, Vienna. Submission: May 2, 2005 (abstracts), May 9, 2005
(full paper) .
Decision procedures summer school:
Aug 9-11, Stanford .
Ongoing Projects
Disseration/Conference Tutorials
In preparation
With S. Gulwani, "Combining abstract interpreters".
"Abstractions for Hybrid Systems" ,
Full version of the HSCC2002 paper enhanced with
some new results and material from my HSCC2003 and HSCC2004 papers.
Submitted for publication.
Research Publications (reverse chronological order)
With G. Godoy,
"Confluence of shallow right-linear rewrite systems" .
To appear in
CSL 2005 .
We show that the following problem is surprisingly decidable:
given a shallow and right-linear rewrite system, determine if it is confluent.
(Preliminary version, to be revised)
A. Tiwari,
"An algebraic approach to the satisfiability of nonlinear constraints" .
To appear in
CSL 2005 .
This paper presents a pragmatic and powerful
sound and refutationally complete method for testing satisfiability
of nonlinear constraints over the reals.
(Preliminary version, to be revised)
With Guillem Godoy,
Termination of Rewrite Systems with Shallow Right-Linear, Collapsing, and Right-Ground Rules
. To appear in CADE 2005.
(Preliminary version, to be revised)
With E. Rodriguez-Carbonell,
"Generating Polynomial Invariants for Hybrid Systems",
In Hybrid Systems: Computation and Control 2005.
With S. Gulwani and G. Necula,
"Join Algorithms for the theory of uninterpreted functions",
In K. Lodaya and M. Mahajan (eds.)
FSTTCS 2004, Vol 3328 of LNCS, p.311-323, 2004.
A. Tiwari,
"Termination of linear programs" . In CAV 2004.
This paper shows decidability of termination for a class of linear loop programs.
With Guillem Godoy,
"Deciding fundamental properties of right-ground or right-variable systems by rewrite closure" .
In IJCAR 2004.
This paper shows decidability of properties such as reachability, joinability,
confluence, and termination for TRSs containing right-ground or collapsing rules.
With Leonardo de Moura, Sam Owre, Harald Ruess, John Rushby, N. Shankar, and Maria Sorea,
SAL 2 . In CAV 2004.
With Guillem Godoy and Rakesh Verma,
"Confluence characterization using rewrite closure with
application to right ground systems" .
This paper presents a solution of
open problem #63
from the
RTA list of open problems .
In
AAECC .
With P. Lincoln,
"
"Symbolic systems biology: Hybrid modeling and analysis of biological networks" ,
In HSCC 2004.
With N. Berregeb and R. Robbana,
"Toward Automatic Proofs of Observational Properties" ,
Discrete Mathematics and Theoretical Computer Science 6(2), 143--162, 2004.
With G. Khanna,
"
Nonlinear Systems: Approximating Reach Sets ",
In HSCC 2004.
With Guillem Godoy and Rakesh Verma,
"Deciding confluence of certain term rewriting systems in polynomial time",
Annals of Pure and Applied Logic , APAL 130(1-3):33-59, December 2004.
Ashish Tiwari,
"Abstraction based theorem proving: An example from the theory of reals ",
In the proceedings of the
PDPAR 2003
workshop, colocated with
CADE 2003 .
Ashish Tiwari,
"Approximate Reachability for Linear Systems ",
In the Proceedings of Hybrid Systems: Computation and Control,
HSCC 2003 .
With Ronojoy Ghosh and
Claire Tomlin ,
"Automated Symbolic
Reachability Analysis with Application to Delta-Notch Signaling Automata ",
In the Proceedings of Hybrid Systems: Computation and Control,
HSCC 2003 .
With Guillem Godoy and
Rakesh Verma ,
"On the confluence of linear shallow term rewrite systems ",
In
STACS 2003 , 20th International Symposium on Theoretical Aspects of Computer Science,
Feb 27--Mar 01, 2003.
With N. Shankar and J. Rushby,
"Invisible formal
methods for embedded control systems ",
In Proc of the IEEE, Special issue on Embedded Systems, Jan 2003.
With Guillem Godoy and
Robert Nieuwenhuis ,
"Classes of Term Rewrite Systems
with Polynomial Confluence Problems ",
(journal article) To appear in TOCL ,
Volume 5, Number 2 (April 2004).
Ashish Tiwari,
"Polynomial Time Algorithms for Deciding Confluence of Certain Term Rewrite Systems" ,
In IEEE Symposium on Logic in Computer Science, LICS 2002.
Context .
With G. Khanna ,
"Series of Abstractions for Hybrid Automata" ,
In Hybrid Systems: Computation and Control, HSCC 2002.
With Leo Bachmair and Laurent Vigneron,
"Abstract Congruence Closure" ,
J. of Automated Reasoning 31(2), 2003, pp. 129--168, Kluwer Academic Publishers.
Ashish Tiwari,
"Rewrite Closures for Ground and Cancellative AC Theories" ,
In FST&TCS; 2001, LNCS 2245.
With Harald Ruess, Hassen Saidi and N. Shankar,
"Automatic Generation of Invariants" ,
In
TACAS 2001 - Tools and Algorithms for the Construction and Analysis of Systems.
S. Bensalem, et. al.,
"An overview of SAL",
In
Langley Workshop on Formal Methods,
LFMW 2000 .
With Leo Bachmair,
"Abstract Congruence Closure and Specializations" ,
17th Intl Conference on Automated Deduction,
CADE 2000 .
With Leo Bachmair and Harald Ruess,
"Rigid E-Unification Revisited" ,
17th Intl Conference on Automated Deduction,
CADE 2000 .
With R. K. Ahuja and James B. Orlin,
"A Greedy Genetic Algorithm for the Quadratic Assignment Problem",
Working paper, Sloan
School of Management, WP\#3826-95, June 1995. Also in
Computers and Operations Research 27 (10), Sept. 2000, pp. 917--934.
With Leo Bachmair, I.V. Ramakrishnan, and L. Vigneron,
"Congruence Closure modulo Associativity and Commutativity",
Workshop on Frontiers of Combining Systems,
FroCos 2000 ,
LNAI 1794.
With Leo Bachmair, C. Ramakrishnan and I.V. Ramakrishnan,
"Normalization via Rewrite Closures" ,
Rewriting Techniques and
Applications, Proceedings of the
10th RTA-1999 .
With Leo Bachmair,
"D-bases for Polynomial Ideals over Commutative Noetherian Rings" ,
Rewriting Techniques and
Applications,
Proceedings of the
8th RTA-1997 , pp. 113-127.
Software
Other Papers
Talks
Hybrid modeling and analysis of genetic networks. Talk at
Univ of Notre Dame, Feb 27, 2004.
"Symbolic techniques for verification of hybrid systems" (ps) ,
Talk at CMU, Sep 30, 2003.
(HybridAbstraction + Composition + Systems Biology)
"Symbolic methods for verification of hybrid systems" (ps) ,
Presentation at the NASA Ames Research Center, Mountain View, CA, June 17, 2003.
Talks with the only slightly different content were also given at
Dagstuhl Seminar on Theorem Proving and Infinite State Model-Checking (April 21--25, 2003),
and MPI Saarbrucken (April 30--May 2, 2003).
"Symbolic methods for verification of hybrid systems" (ps) ,
Presentation at the Hybrid Systems Seminar series, University of
Pennsylvania, Philadelphia, Feb 28, 2003.
"Combining Decision Procedures" (pdf) ,
Presentation at the Stanford Logic Seminar, Oct 15, 2002.
Also available in
in postscript .
"SRI/UT Proposal Slides for NEST" (pdf) ,
Also available in
4up format (pdf) .
Al Mok,
"SRI/UT Demo Plan for NEST" (ppt) ,
Presentation for the NEST OEP Meeting at St. Louis, Aug 23rd.
See
here
and
here
for postscript.
With Pat Lincoln and John Rushby,
"Formal Composition for Time-Triggered Systems" ,
Presentation for the MoBIES PI meeting at New York on July 25th.
A. Tiwari,
"Stanford Talk" .
A. Tiwari,
"Uniform description of efficient decision procedures using extended signatures" ,
MacLean Hall, Computer Science Department, University of Iowa, Iowa City, Mar 1, 2002.
In pdf
A. Tiwari,
"Formal Methods for Analysis of Hybrid Systems" ,
Room 339, Cory Hall, UC Berkeley, Feb 11, 2002.
A. Tiwari,
"Formal Methods for Analysis of Hybrid Systems" ,
Durand 026, Stanford University, Dec 07, 2001.
A. Tiwari,
"Formal Composition for Time-Triggered Systems" ,
Presented at MoBIES ESWG meeting at Dearbon.
Ashish Tiwari,
"Abstract Congruence Closure and Applications",
Dagstuhl seminar on Deduction, Seminar No. 99091,
Report No. 232, U. Furbach (Koblenz), H. Ganzinger
(MPI-Saarbrücken), D. Kapur (Albany), 28 Feb--5 March 1999.
Ashish Tiwari,
"Grobner bases for polynomial ideals over commutative Noetherian rings",
Talk given at Chennai Mathematical Institute, Jan. 1999.
Ashish Tiwari,
"Decision Procedures in Automated Deduction",
Preliminary Examination Report,
PhD Proposal, SUNY at Stony Brook, Nov 1998.
Miscellaneous Areas: Reports
Ashish Tiwari,
"Adding BDD's to the Concurrency Factory's Local Model Checker",
CSE 635 Asynchronous Systems, Project Report, Spring 1997.
Zhong Li and Ashish Tiwari,
"Addition Chain Heuristics/RSA Public Key Cryptosystem",
CSE 502 Computer Architecture, Project Report, Spring 1996.
Ashish Tiwari,
"Identifying Mathematical and Logical Sequences",
CSE 539 Expert Systems, Project Report, Spring 1996.
Ashish Tiwari,
"Group Testing", (.ps.Z)
CSE 648 Advanced Algorithms, Project Report, Fall 1995.
Ashish Tiwari,
"Sweeping a 3-D Tetrahedral Complex",
CSE 528 Computer Graphics, Project Report, Fall 1995. Appeared as part of
"Fast Rendering of Irregular Grids", by Claudio T.Silva,
J.S.B. Mitchell and Arie E. Kaufman, ACM/IEEE Volume
Visualization Symposium 1996, pp. 15--22.
Teaching
Fall 2003: CS359: Little Engines of Proof , Stanford University.
Automata Theory, Summer (1997) term special couse for incoming graduate students, SUNY-Stony Brook.
Teaching Assistant for CSE 113
"Foundations of Computer Science I", Fall 1995,
Instructor:
Prof. P.B.Henderson.
Teaching Assistant for CSE 213,
"Foundations of Computer Science II", Spring 1996,
Instructor:
Prof. Leo Bachmair .
Teaching Assistant for CSE 506,
"Operating Systems",
Spring 1996,
Instructor:
Prof. Gene Stark .
Miscellaneous: Useful Links/Upcoming Conferences
SRI Insider IEEE info .
Personal Page , for photographs.
Past PC participation:
Stefan Ratschan,
Applications of the decision procedure for reals .
NSF,
CISE page . Goto funding oppurtunities/program of interest there.
NIH,
NIH guide for grants and contracts,
with links to PAs and RFAs .
Darpa solicitations
Click here .
LICS,
IEEE Symposium on Logic in Computer Science . Deadline Jan 6th/13th.
The
LICS newsletter .
CADE,
CADE-19 . Deadline Jan 24th/Jan 31st.
CSL Generic Page
and CSL 2003 specific page . Deadline: 31st March
LPAR,
LPAR . Deadline Apr 28/May 5th.
FSTTCS Generic page . Deadline: July 1.
BioInformatics Conference,
IEEE Computer Society, BioInformatics Conference . Deadline Apr 01, 2003.
HSIF,
HSIF .
DBLP,
my link .
Counseling:
Here or
here! .
Res : 1342 Egret Drive, Sunnyvale, CA-94087. Tel : 408.739.4542 Personal
home page
Ashish Tiwari ( tiwari@csl.sri.com )
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