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Publications
Journal Papers and Book Chapters
F.B. Bennett, B. Du, H. Zhang: Conjugate orthogonal diagonal
latin squares with missing subsquares, Wal Wallis (ed.) Designs
2002: Further Computational and Constructive Design Theory, Ch 2,
Kluwer Academic Publishers, Boston, 2003.
Zhu, L., Zhang, H.:
Completing the spectrum of r-orthogonal latin squares.
Discrete Mathematics 258 (2003)
P. Baumgartner, H. Zhang, First-order theorem proving,
special issue, Journal of Symbolic Computation,
36, 2003.
Bennett, F.E., Du, Beiliang, Zhang, H.:
Existence of self-orthogonal diagonal Latin squares with a missing subsquare,
Discrete Mathematics, 261 (2003) 69-86
Q. Han, Y. Ye, H. Zhang, J. Zhang: On approximation of
Max-Vertex-Cover, European Journal of Operations
Research, 143:2 (2002) 342-355
Bennett, F.E., Ge, G., Zhang, H., Zhu, L.:
Holey Steiner pentagon systems and related designs,
Journal of Statistical Planning and Inference, 106 (2002) 353-373
Xu, Y., Zhang, H., Zhu, L.: Existence of frame SOLS of
type $a^nb^1$, Discrete Mathematics, 250 (2002) 211-230
Zhu, L., Zhang, H.:
A few more r-orthogonal Latin squares.
Discrete Mathematics 238 (2001) 183-191
Bennett, F.E., Du, B., Zhang, H.:
Existence of (3,1,2)-conjugate orthogonal diagonal latin
squares.
J. of Combinatorial Designs 9: 297-308, 2001
Bennett, F.E., Kang, Q., Lei, J., Zhang, H.:
Large sets of disjoint pure Mendelsohn triple systems.
J. of Statistical Planning and Inference 95 (2001) 89-115
Abel, J., Bennett, F.E., Zhang, H., Zhu, L.:
A few more incomplete self-orthogonal Latin squares and related
designs. Australasian J. of Combinatorics, 21 (2000) 85-94.
Abel, R.J.R., Bennett, F.E., Zhang, H., Zhu, L.: Existence of
HSOLSSOMs with types $h^n$ and $1^nu^1$,
Ars Combinatoria 55 (2000) 97-115.
Abel, J., Bennett, F.E., Zhang, H.:
Perfect Mendelsohn designs with block size six.
J. of Statistical planning and inference, 86 (2000) 287-319
Zhang, H., Stickel, M.:
Implementing the Davis-Putnam method,
J. of Automated Reasoning 24: 277-296, 2000.
Abel, R.J.R., Bennett, F.E., Zhang, H.:
Holey Steiner pentagon systems,
J. of Combinatorial Designs 7 (1999) 41-56
Bennett, F.E, Zhang, H.: (1998) Existence of (3,1,2)-HCOLS and
(3,1,2)-HCOLS,
J. of Combinatoric Mathematics and
Combinatoric Computing, 27 (1998) 53-64
Bennett, F.E., Yin, J., Zhang, H., Abel, R.J.R.: Perfect Mendelsohn
packing designs with block size five, J. of Designs, Codes and
Cryptography, 14, 5-22 (1998).
Bennett, F.E, Wei, R., Zhang, H.: Holey Schroder designs of
type $2^nu^1$, J. of Combinatorial Designs, 6 131-150, 1998
Bennett, F.E., Du, B., Zhang, H.: Existence of self-conjugate
self-orthogonal diagonal Latin squares, J. of Combinatorial
Designs, 6 51-62, 1998.
Abel, R.J.R., and Zhang, H.: Direct constructions for certain
types of HMOLS, J. of Discrete Mathematics, 181 (1998) 1-17
Bennett, F.E., Du, B., Zhang, H.: (1997)
Existence of conjugate orthogonal diagonal Latin squares,
J. of Combinatorial Designs, 5: 449-461.
Zhang, H.: (1997) Specifying Latin squares in propositional logic, in
R. Veroff (ed.): Automated Reasoning and Its Applications, Essays in
honor of Larry Wos, Chapter 6, MIT Press.
Bennett, F.E., Zhang, H., Zhu, L.: Holey self-orthogonal Latin
squares with symmetric orthogonal mates, Annuals of
Combinatorics, Vol. 1, No. 2 (1997) 107-118
Bennett, F.E., Chang, Y., Yin, J., Zhang, H.,
Existence of HPMDs with block size five,
J. Combin. Designs, 5 (1997), 257-273.
Abel, R.J.R., Colborn, C.J., Yin, J., Zhang, H.:
Existence of incomplete transversal designs with block size five and
any index, Designs, Codes and Cryptography, 10, 275-307 (1997)
Bennett, F.E., Wei, R., Zhang, H.: HPMDs of type $2^n3^1$ with block
size four and related HCOLS, J. of Combinatoric Mathematics and
Combinatoric Computing, 23 (1997) 33-45.
Zhang, H. (ed.): Automated Mathematical Induction, April 1996,
Kluwer Academic Publishers.
Zhang, H., Bonacina, M.P., Hsiang, H.: PSATO: a distributed
propositional prover and its application to quasigroup problems.
Journal of Symbolic Computation (1996) 21, 543-560.
Zhang, H., Bennett, F.E.: Existence of some (3,2,1)-HCOLS
and (3,2,1)-HCOLS. J. of Combinatoric
Mathematics and Combinatoric Computing, 22 (1996) 13-22.
Bennett, F.E., Zhang, H., Zhu, L.: (1996) Self-orthogonal Mendelsohn
triple systems. Journal of Combinatoric Theory
A 73 (1996), 207-218.
Kapur, D., Zhang, H.: (1995) An overview of Rewrite Rule Laboratory.
J. of Computer and Mathematics with Applications, 29, 2, 91-114.
Zhang, H.: Contextual rewriting for theorem proving.
Journal of Fundamenta Informaticae, (1995) 24:107-123
Kapur, D., Sivakumar, G., Zhang, H.: (1995) Proving termination of
AC-rewrite Systems. J. of Automated Reasoning, 14:293-316.
Zhang, H.: (1994) A new strategy for the boolean ring based approach
to first order theorem proving. J. of Symbolic
Computation, 17, 189-211.
Zhang H.: (1993) Automated proofs of equality problems in Overbeek's
competition. J. of Automated Reasoning, 11: 333-351, 1993.
Zhang, H., Hua, G.X.: (1993) Proving Ramsey theorem by the cover set
induction: a case and comparison study. The Annals of
Mathematics and Artificial Intelligence, Volume 8, 383-405.
Kapur, D., Narendran, P., Zhang, H.: (1991) Automating inductionless
induction by test sets. J. of Symbolic Computation, 11,
83-111.
Kapur, D., Narendran, P., Rosenkrantz, D., Zhang, H.: (1991)
Sufficient completeness, ground reducibility and their complexity.
Acta Informatica 28, 311-350.
Kapur, D., Zhang, H.: (1991) A case study of the completion procedure:
Proving ring commutativity problems. In J.-L. Lassez and G. Plotkin
(eds.): Computational Logic: Essays in Honor of Alan Robinson,
MIT Press, Cambridge, MA.
Zhang, H.: (1990) Automated proof of ring commutativity problems by
algebraic methods. J. of Symbolic Computation 9, 423-427.
Zhang, H., Kapur, D.: (1990) Unnecessary inferences in
associative-commutative completion procedures.
Mathematical System Theory 23, 175-206.
Burckert, H.-J., Herold, A., Kapur, D., Siekmann, J.H., Stickel,
M., Tepp, M., Zhang, H. (1988) Opening the AC-unification race.
J. of Automated Reasoning, (4), 465-474.
Kapur D., Zhang, H.: (1988) Proving equivalence of different
axiomatizations of free groups.
J. of Automated Reasoning (4) 331-352.
Kapur, D., Narendran, P., Zhang, H.: (1987) On sufficient-completeness
and related properties of term rewriting systems. Acta
Informatica Vol. 24, 395-415.
Refereed Conference Papers
Shen, H., Zhang, H..:
Improving Exact Algorithms for MAX-2-SAT,
Eighth International Symposium on Artificial
Intelligence and Mathematics,
Fort Lauderdale, Florida, January 2004.
Zhang, H., Manya, F., Shen, H.: Exact algorithsm for MAX-SAT,
Proc. of International Workshop on First Order Theorem Proving,
2003.
Shen, H., Zhang, H..:
An empirical study of MAX-2-SAT phase transitions.
Proc. of LICS Workshop on Phase Transitions, Ottawa, Canada, July
2003.
Zhang, H.: (2003)
Efficient data structure for clauses in SAT solvers,
Proc. of Intl. Workshop on Microprocessor Testing and Verification,
Austin, TX.
Zhang, H.: (2002)
Generating college conference basketball schedules by a SAT solver,
Proc. of Fifth International Symposium on Theory and Applications of
Satisfiability Testing, Cincinnati, Ohio, 2002, pp. 281-291.
Zhang, H.: (2002)
A random jump strategy for combinatorial search.
Proc. of Sixth International Symposium on Artificial Intelligence
and Mathematics, Fort Lauderdale, FL, 2002.
Zhang, H.: (2000) Lemma generation in the Davis-Putnam procedure.
Proc. of Workshop on Automated Model Building,
International Conference on Automated Deduction (CADE-2000).
Hubbard, D., Zhang, H.: (1999) A case study of automated test cases
generation for LDP. Proc. of Lucent Conference on Automated Software Testing
(AST'99) pp. 141-150, Murray Hill, NJ.
Zhang, H.: (1998) Automated generation of test cases using
Testmaster. Proc. of Lucent Conference on Automated Software Testing
(AST'98) pp. 23-32, Chicago, IL.
Zhang, H.: (1997) SATO: An efficient propositional prover, Proc. of
International Conference on Automated Deduction (CADE-97). pp.
308-312, Lecture Notes in Artificial Intelligence 1104,
Springer-Verlag.
Zhang, J., Zhang, H.: (1996) Combining local search and backtracking
techniques for constraint satisfaction, in Proc. of
National Conference on Artificial Intelligence (AAAI-96),
Vol 1, pp. 369-374, AAAI Press/MIT Press.
Zhang, J., Zhang, H.: (1996) Generating models by SEM,
in Proc. of International Conference on Automated Deduction
(CADE-96), pp. 308-312, Lecture Notes in Artificial Intelligence 1104,
Springer-Verlag.
Zhang, H., Stickel, M.: (1996) An efficient algorithm for unit
propagation. In Kautz and Selman (eds.) Proc. of the Fourth
International Symposium on Artificial Intelligence and
Mathematics. Ft. Lauderdale, Florida, pp. 166-179.
Zhang, J., Zhang, H.: (1995) Constraint propagation in model
generation. In Ugo Montanari (ed:) Proc. of 1st International
Conference on Principles and Practice of Constraint Programming (CP95)
Marseille, September 19-22, 1995.
Zhang, J., Zhang, H.: (1995) SEM: a System for Enumerating Models.
Proc. of International Joint Conference on Artificial Intelligence
(IJCAI95) Montreal, August 11-18, 1995, pp. 298-303.
Stickel, M., Zhang, H: (1995) Studying quasigroup identities by
rewriting techniques: problems and first results. In
Hsiang, J. (ed,): Proc. of International Conference on Rewrite
Techniques and Applications (RTA-95) Lecture Notes in Computer
Science, Springer-Verlag, pp. 450-456.
Zhang, H., Hsiang, J.: (1994) Solving open quasigroup problems by
propositional reasoning. Proc. of International Computer
Symposium, Hsinchu, Taiwan.
Zhang, H., Bonacina, M. P.: (1994) Cumulating search in a distributed
computing environment: A case study in parallel satisfiability.
Proc. of the First International Symposium on Parallel Symbolic
Computation (PASCO-94), Linz, Austria, September 1994.
Kim, S., Zhang, H.: (1994) ModGen: Theorem proving by model generation.
Proc. of National Conference of American Association on
Artificial Intelligence (AAAI-94), Seattle, WA.
MIT Press, pp. 162-167.
Kapur, D., Zhang, H.: (1994) Automated induction: explicit vs.
implicit. In Proc. of Third International Symposium on Artificial
Intelligence and Mathematics. Fort Lauderdale, Florida.
Hua, G.X., Zhang, H.: (1993) Formal verification of circuit designs in
VHDL. In Proc. of 9th International Conference on Advanced Science
and Technology, Motorola, Inc., Schaumburg, Illinois.
Zhang, H.: (1993) A case study of completion modulo distributivity and
Abelian groups. In Kirchner, C. (ed,): Proc. of International
Conference on Rewrite Techniques and Applications (RTA-93), Montreal,
Canada. Lecture Notes in Computer Science, V. 690, Springer-Verlag.
pp. 32-46.
Lee, S.K., Lin, X., Zhang, H.: (1992) Efficient decision procedures
for strength logic. In Proc. of 1992 Pacific-Rim International
Conference on Artificial Intelligence. South Korea.
Zhang, H.: (1992) Proving group isomorphism theorems: a case study of
conditional completion. In J.L. Remy and M. Rusinowitch (eds.):
Proc. of 3rd International Workshop on Conditional Term Rewriting
Systems. Pont-A-Mousson, France. Lecture Notes in Computer Science,
V. 656, Springer-Verlag. pp. 302-306.
Zhang, H.: (1992) Implementing contextual rewriting. In J.L. Remy and
M. Rusinowitch (eds.): Proc. of 3rd International Workshop on
Conditional Term Rewriting Systems. Pont-A-Mousson, France. Lecture
Notes in Computer Science, V. 656, Springer-Verlag. pp. 363-377.
Zhang, H.: (1992) Herky: High-performance rewriting techniques in RRL.
In Kapur, D.: (ed.): Proc. of 1992 International Conference of
Automated Deduction. Saratoga, NY. Lecture Notes in Artificial
Intelligence, 607, Springer-Verlag. pp. 696-700.
Hua, G.X., Zhang, H.: (1992) FRI: Failure Resistant Induction in RRL.
In Kapur, D.: (ed.): Proc. of 1992 International Conference of
Automated Deduction. Saratoga, NY. Lecture Notes in Artificial
Intelligence, 607, Springer-Verlag. pp. 691-695.
Zhang, H., Hua, G.X.: (1992) Proving the Chinese remainder theorem by
the cover ste induction. In Kapur, D.: (ed.): Proc. of 1992
International Conference of Automated Deduction. Saratoga, NY.
Lecture Notes in Artificial Intelligence, 607, Springer-Verlag.
pp. 431-445.
Zhang, H.: (1992) A new strategy for the boolean ring based approach
to first order theorem proving. In Proc. of Second International
Symposium on Artificial Intelligence and Mathematics. Fort
Lauderdale, Florida.
Zhang, H., Hua, G.X.: (1992) Proving Ramsey theorem by the cover set
induction: a case and comparison study. In Proc. of Second
International Symposium on Artificial Intelligence and Mathematics.
Fort Lauderdale, Florida.
Hua, G.X., Zhang, H.: (1992) Axiomatic semantics of a hardware
specification language. In Proc. of the Second IEEE Great Lakes
Symposium on VLSI Design. Kalamazoo, MI. pp. 183-190.
Zhang, H.: (1990) Approximate reasoning in strength logic. Proc.
of The IEEE 20th International Symposium on Multiple-Valued
Logic, Charlotte, North Carolina, IEEE Computer Society Press,
262-269.
Kapur, D., Sivakumar, G., Zhang, H.: (1990) A new method for proving
termination of AC-rewrite Systems. Proc. of 10th Conference on
Foundations of Software Technology and Theoretical Computer Science,
Bangalore, India.
Zhang, H.: (1989) Constructor model as abstract data types. In Rus,
T. (ed.) Proc. of First International Conference on Algebraic
Methodology and Software Technology, Iowa City, Iowa.
Kapur, D., Zhang, H.: (1989) An overview of RRL: Rewrite Rule
Laboratory. Proc. of the third International Conference on Rewriting
Techniques and its Applications (RTA-89), April 1989, Chapel Hill,
NC, Lecture Notes in Computer Science, Vol. 355, Springer-Verlag,
Berlin, 513-529.
Zhang, H., Kapur, D.: (1989) Consider only general superpositions
in completion procedures. Proc. Third International Conference on
Rewriting Techniques and its Applications (RTA-89), April 1989,
Chapel Hill, NC, Lecture Notes in Computer Science, Vol. 355,
Springer-Verlag, Berlin, 513-529.
Kapur, D., Zhang, H.: (1988) RRL: a Rewrite Rule Laboratory. In Lusk,
R. and Overbeek, R. (eds.) Proc. of the 9th International
Conference on Automated Deduction (CADE-9), Argonne, Illinois.
Lecture Notes in Computer Science, Vol. 310, Springer-Verlag, Berlin,
768-769.
Zhang, H., Kapur, D., Krishnamoorthy, M.S.: (1988) A mechanizable
induction principle for equational specifications. In Lusk, R. and
Overbeek, R. (eds.) Proc. of the 9th International Conference on
Automated Deduction (CADE-9), Argonne, Illinois. Lecture Notes in
Computer Science, Vol. 310, Springer-Verlag, Berlin, 250-265.
Zhang, H., Kapur, D.: (1988) First-order logic theorem proving using
conditional rewrite rules. In Lusk, R. and Overbeek, R. (eds.)
Proc. of the 9th International Conference on Automated Deduction
(CADE-9), Argonne, Illinois. Lecture Notes in Computer Science, Vol.
310, Springer-Verlag, Berlin, 1-20.
Kapur, D., Narendran, P., Zhang, H.: (1986) Complexity of
sufficient-completeness. Proc. of 6th Conference on Foundations
of Software Technology and Theoretical Computer Science, New Delhi,
India. Lecture Notes in Computer Science, Vol. 241, Springer-Verlag,
Berlin, 426-442.
Kapur, D., Sivakumar, G., Zhang, H.: (1986) RRL: a Rewrite Rule
Laboratory. Proc. of the 8th International Conference on
Automated Deduction (CADE-8), Oxford, England, Lecture Notes in
Computer Science, Vol. 230, Springer-Verlag, Berlin, 692-693.
Kapur, D., Narendran, P., Zhang, H.: (1986) Proof by induction using
test sets. Proc. of Eighth International Conference on Automated
Deduction (CADE-8), Oxford, England, Lecture Notes in Computer
Science, Vol. 230, Springer-Verlag, Berlin, 99-117.
Kounalis, E., Zhang, H.: (1985) A general completeness test for
equational specifications. Proc. of Hungarian Conference of
Computer Science.
Zhang, H., Remy, J.L.: (1985) Contextual rewriting. Proc. of
rewriting techniques and application, Dijon, France. Lecture Notes
in Computer Science, Vol. 202, Springer-Verlag, Berlin, 201-220.
Zhang, H., Lescanne, P.: (1984) Path of symbols ordering. Proc. of
6th European Conference on Artificial Intelligence, Pisa, Italy.
In T. O'Shea (ed.): Advances in Artificial Intelligence, Elsevier
Science Publishers B.V. North-Holland.
Remy, J.L., Zhang, H.: (1984) Reveur4: a system for validating
conditional specifications of abstract data types. Proc. 6th
European Conference on A.I. Pisa, Italy. In T. O'Shea (ed.):
Advances in Artificial Intelligence, Elsevier Science Publishers B.V.
North-Holland.