Deepak Kapur - Publications

Affiliations: 
University of New Mexico, Albuquerque, NM, United States 
Area:
Computer Science, Mathematics

79 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2021 Kapur D, Lu D, Monagan M, Sun Y, Wang D. Algorithms for computing greatest common divisors of parametric multivariate polynomials Journal of Symbolic Computation. 102: 3-20. DOI: 10.1016/J.Jsc.2019.10.006  0.384
2019 Kapur D. Conditional Congruence Closure over Uninterpreted and Interpreted Symbols Journal of Systems Science & Complexity. 32: 317-355. DOI: 10.1007/S11424-019-8377-8  0.406
2017 Kapur D. Comprehensive Gröbner basis theory for a parametric polynomial ideal and the associated completion algorithm Journal of Systems Science & Complexity. 30: 196-233. DOI: 10.1007/S11424-017-6337-8  0.427
2015 Falke S, Kapur D. When is a formula a loop invariant? Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 9200: 264-286. DOI: 10.1007/978-3-319-23165-5_13  0.664
2013 Kapur D, Sun Y, Wang D. An efficient method for computing comprehensive Gröbner bases Journal of Symbolic Computation. 52: 124-142. DOI: 10.1016/J.Jsc.2012.05.015  0.46
2013 Kapur D, Sun Y, Wang D. An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system Journal of Symbolic Computation. 49: 27-44. DOI: 10.1016/J.Jsc.2011.12.015  0.338
2013 Zhang Z, Kapur D. On invariant checking Journal of Systems Science and Complexity. 26: 470-482. DOI: 10.1007/S11424-013-1296-1  0.446
2013 Zhao H, Zhan N, Kapur D. Synthesizing switching controllers for hybrid systems by generating invariants Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 8051: 354-373. DOI: 10.1007/978-3-642-39698-4_22  0.321
2012 Falke S, Kapur D. Rewriting induction + linear arithmetic = decision procedure Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 7364: 241-255. DOI: 10.1007/978-3-642-31365-3_20  0.669
2012 Falke S, Kapur D, Sinz C. Termination analysis of imperative programs using bitvector arithmetic Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 7152: 261-277. DOI: 10.1007/978-3-642-27705-4_21  0.628
2011 Falke S, Kapur D, Sinz C. Termination analysis of C programs using compiler intermediate languages Leibniz International Proceedings in Informatics, Lipics. 10: 41-50. DOI: 10.4230/LIPIcs.RTA.2011.41  0.558
2011 Kapur D, Sun Y, Wang D. Computing comprehensive Gröbner systems and comprehensive Gröbner bases simultaneously Proceedings of the International Symposium On Symbolic and Algebraic Computation, Issac. 193-200. DOI: 10.1145/1993886.1993918  0.344
2011 Kapur D, Minimair M. Multivariate resultants in bernstein basis Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 6301: 60-85. DOI: 10.1007/978-3-642-21046-4_4  0.471
2010 Hendrix J, Kapur D, Meseguer J. Coverset induction with partiality and subsorts: A powerlist case study Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 6172: 275-290. DOI: 10.1007/978-3-642-14052-5_20  0.368
2010 Falke S, Kapur D. Termination of context-sensitive rewriting with built-in numbers and collection data structures Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 5979: 44-61. DOI: 10.1007/978-3-642-11999-6_4  0.663
2010 Marron M, Majumdar R, Stefanovic D, Kapur D. Shape analysis with reference set relations Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 5944: 247-262. DOI: 10.1007/978-3-642-11319-2_19  0.584
2009 Marron M, Kapur D, Hermenegildo M. Identification of logically related heap regions International Symposium On Memory Management, Ismm. 89-98. DOI: 10.1145/1542431.1542446  0.555
2009 Chtcherba AD, Kapur D, Minimair M. Cayley-Dixon projection operator for multi-univariate composed polynomials Journal of Symbolic Computation. 44: 972-999. DOI: 10.1016/J.Jsc.2008.07.007  0.788
2009 Falke S, Kapur D. Operational Termination of Conditional Rewriting with Built-in Numbers and Semantic Data Structures Electronic Notes in Theoretical Computer Science. 237: 75-90. DOI: 10.1016/J.Entcs.2009.03.036  0.688
2009 Kapur D, Cai Y. An algorithm for computing a Gröbner basis of a polynomial ideal over a ring with zero divisors Mathematics in Computer Science. 2: 601-634. DOI: 10.1007/S11786-009-0072-Z  0.346
2009 Falke S, Kapur D. A term rewriting approach to the automated termination analysis of imperative programs Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 5663: 277-293. DOI: 10.1007/978-3-642-02959-2_22  0.624
2008 Marron M, Hermenegildo M, Kapur D, Stefanovic D. Efficient context-sensitive shape analysis with graph based heap models Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 4959: 245-259. DOI: 10.1007/978-3-540-78791-4_17  0.599
2008 Falke S, Kapur D. Dependency pairs for rewriting with built-in numbers and semantic data structures Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 5117: 94-109. DOI: 10.1007/978-3-540-70590-1_7  0.668
2007 Rodríguez-Carbonell E, Kapur D. Automatic generation of polynomial invariants of bounded degree using abstract interpretation Science of Computer Programming. 64: 54-75. DOI: 10.1016/J.Scico.2006.03.003  0.465
2007 Rodríguez-Carbonell E, Kapur D. Generating all polynomial invariants in simple loops Journal of Symbolic Computation. 42: 443-476. DOI: 10.1016/J.Jsc.2007.01.002  0.495
2007 Falke S, Kapur D. Dependency pairs for rewriting with non-free constructors Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 4603: 426-442.  0.651
2006 Kapur D. A quantifier-elimination based heuristic for automatically generating inductive assertions for programs Journal of Systems Science and Complexity. 19: 307-330. DOI: 10.1007/S11424-006-0307-X  0.442
2006 Chtcherba AD, Kapur D. Conditions for determinantal formula for resultant of a polynomial system Proceedings of the International Symposium On Symbolic and Algebraic Computation, Issac. 2006: 55-62.  0.799
2006 Falke S, Kapur D. Inductive decidability using implicit induction Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 4246: 45-59.  0.641
2005 Chtcherba AD, Kapur D, Minimair M. Cayley-Dixon resultant matrices of multi-univariate composed polynomials Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 3718: 125-137. DOI: 10.1007/11555964_11  0.795
2005 Rodríguez-Carbonell E, Kapur D. Program verification using automatic generation of invariants Lecture Notes in Computer Science. 3407: 325-340.  0.386
2004 Chtcherba AD, Kapur D. Resultants for unmixed bivariate polynomial systems produced using the Dixon formulation Journal of Symbolic Computation. 38: 915-958. DOI: 10.1016/J.Jsc.2003.12.001  0.802
2004 Chtcherba AD, Kapur D. Constructing Sylvester-type resultant matrices using the Dixon formulation Journal of Symbolic Computation. 38: 777-814. DOI: 10.1016/J.Jsc.2003.11.003  0.805
2004 Rodríguez-Carbonell E, Kapur D. An abstract interpretation approach for automatic generation of polynomial invariants Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 3148: 280-295.  0.353
2004 Chtcherba AD, Kapur D. Support hull: Relating the Cayley-Dixon resultant constructions to the support of a polynomial system Proceedings of the International Symposium On Symbolic and Algebraic Computation, Issac. 95-102.  0.797
2004 Rodríguez-Carbonell E, Kapur D. Automatic generation of polynomial loop invariants: Algebraic foundations Proceedings of the International Symposium On Symbolic and Algebraic Computation, Issac. 266-273.  0.402
2003 Chtcherba AD, Kapur D. On the relationship between the Dixon-based resultant construction and the supports of polynomial systems Acm Sigsam Bulletin. 37: 66-67. DOI: 10.1145/990353.990358  0.529
2003 Chtcherba AD, Kapur D. Exact resultants for corner-cut unmixed multivariate polynomial systems using the Dixon formulation Journal of Symbolic Computation. 36: 289-315. DOI: 10.1016/S0747-7171(03)00084-1  0.791
2003 Kapur D, Sakhanenko NA. Automatic generation of generalization lemmas for proving properties of tail-recursive definitions Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2758: 136-154.  0.369
2003 Kapur D, Subramaniam M. Automatic generation of simple lemmas from recursive definitions using decision procedures - Preliminary report Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2896: 125-145.  0.337
2002 Chtcherba AD, Kapur D. On the efficiency and optimality of Dixon-based resultant methods Proceedings of the International Symposium On Symbolic and Algebraic Computation, Issac. 29-36.  0.787
2000 Kapur D, Subramaniam M. Using an induction prover for verifying arithmetic circuits International Journal On Software Tools For Technology Transfer. 3: 32-65. DOI: 10.1007/Pl00010808  0.374
2000 Kapur D, Sivakumar G. Proving associative-commutative termination using RPO-compatible orderings Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1761: 39-61.  0.305
2000 Kapur D, Subramaniam M. Extending decision procedures with induction schemes Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science). 1831: 324-345.  0.315
1998 Krishna Rao MRK, Kapur D, Shyamasundar RK. Transformational methodology for proving termination of logic programs Journal of Logic Programming. 34. DOI: 10.1016/S0743-1066(97)00028-9  0.36
1998 Kapur D, Subramaniam M. Mechanizing reasoning about large finite tables in a rewrite based theorem prover Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1538: 22-42. DOI: 10.1007/3-540-49366-2_3  0.43
1997 Van Hentenryck P, Mcallester D, Kapur D. Solving polynomial systems using a branch and prune approach Siam Journal On Numerical Analysis. 34: 797-827. DOI: 10.1137/S0036142995281504  0.429
1996 Kapur D, Subramaniam M. New uses of linear arithmetic in automated theorem proving by induction Journal of Automated Reasoning. 16: 39-78. DOI: 10.1007/Bf00244459  0.469
1996 Kapur D, Subramaniam M. Lemma discovery in automating induction Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1104: 538-552. DOI: 10.1007/3-540-61511-3_112  0.335
1996 Kapur D. Rewrite-based automated reasoning: Challenges ahead Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1103: 1-2.  0.35
1996 Kapur D, Subramaniam M. Automating induction over mutually recursive functions Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1101: 117-131.  0.357
1995 Kapur D, Zhang H. An overview of Rewrite Rule Laboratory (RRL) Computers and Mathematics With Applications. 29: 91-114. DOI: 10.1016/0898-1221(94)00218-A  0.353
1995 Kapur D, Sivakumar G, Zhang H. A path ordering for proving termination of AC rewrite systems Journal of Automated Reasoning. 14: 293-316. DOI: 10.1007/Bf00881859  0.446
1995 Kapur D, Subramaniam M. Automated reasoning about parallel algorithms using powerlists Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 936: 416-430. DOI: 10.1007/3-540-60043-4_68  0.328
1994 Kapur D, Nie X, Musser DR. An overview of the Tecton proof system Theoretical Computer Science. 133: 307-339. DOI: 10.1016/0304-3975(94)90192-9  0.35
1992 Kapur D, Narendran P, Rosenkrantz DJ, Zhang H. Sufficient-completeness, ground-reducibility and their complexity International Journal of Biometeorology. 36: 311-350. DOI: 10.1007/Bf01893885  0.426
1992 Kapur D, Narendran P. Complexity of unification problems with associative-commutative operators Journal of Automated Reasoning. 9: 261-288. DOI: 10.1007/Bf00245463  0.356
1991 Kapur D, Narendran P, Zhang H. Automating inductionless induction using test sets Journal of Symbolic Computation. 11: 83-111. DOI: 10.1016/S0747-7171(08)80133-2  0.377
1990 Kapur D, Narendran P, Otto F. On ground-confluence of term rewriting systems Information and Computation. 86: 14-31. DOI: 10.1016/0890-5401(90)90023-B  0.337
1990 Mohan CK, Srivas MK, Kapur D. Inference rules and proof procedures for inequations The Journal of Logic Programming. 9: 75-104. DOI: 10.1016/0743-1066(90)90034-3  0.402
1990 Zhang H, Kapur D. Unnecessary inferences in associative-commutative completion procedures Mathematical Systems Theory. 23: 175-206. DOI: 10.1007/Bf02090774  0.444
1988 Kandri-Rody Ä, Kapur D. Computing a Gröbner basis of a polynomial ideal over a Euclidean domain Journal of Symbolic Computation. 6: 37-57. DOI: 10.1016/S0747-7171(88)80020-8  0.39
1988 Kapur D, Musser DR, Narendran P. Only prime superpositions need be considered in the Knuth-Bendix completion procedure Journal of Symbolic Computation. 6: 19-36. DOI: 10.1016/S0747-7171(88)80019-1  0.39
1988 Kapur D, Srivas M. Computability and implementability issues in abstract data types Science of Computer Programming. 10: 33-63. DOI: 10.1016/0167-6423(88)90015-9  0.378
1988 Barry M, Cyrluk D, Kapur D, Mundy J, Nguyen VD. A multi-level geometric reasoning system for vision Artificial Intelligence. 37: 291-332. DOI: 10.1016/0004-3702(88)90058-6  0.347
1988 Kapur D. A refutational approach to geometry theorem proving Artificial Intelligence. 37: 61-93. DOI: 10.1016/0004-3702(88)90050-1  0.428
1988 Kapur D, Mundy JL. Wu's method and its application to perspective viewing Artificial Intelligence. 37: 15-36. DOI: 10.1016/0004-3702(88)90048-3  0.359
1988 Bürckert H, Herold A, Kapur D, Siekmann JH, Stickel ME, Tepp M, Zhang H. Opening the AC-unification race Journal of Automated Reasoning. 4: 465-474. DOI: 10.1007/Bf00297251  0.344
1988 Kapur D, Zhang H. Proving equivalence of different axiomatizations of free groups Journal of Automated Reasoning. 4: 331-352. DOI: 10.1007/Bf00244946  0.418
1987 Kapur D, Narendran P. Matching, unification and complexity Acm Sigsam Bulletin. 21: 6-9. DOI: 10.1145/36330.36332  0.413
1987 Kapur D, Musser DR. Proof by consistency Artificial Intelligence. 31: 125-157. DOI: 10.1016/0004-3702(87)90017-8  0.474
1987 Kapur D, Narendran P, Zhang H. On sufficient-completeness and related properties of term rewriting systems Acta Informatica. 24: 395-415. DOI: 10.1007/Bf00292110  0.4
1986 Kapur D. Using Gröbner bases to reason about geometry problems Journal of Symbolic Computation. 2: 399-408. DOI: 10.1016/S0747-7171(86)80007-4  0.389
1985 Kapur D, Sivakumar G. RRL: theorem proving environment based on rewriting techniques Acm Sigsoft Software Engineering Notes. 10: 67-68. DOI: 10.1145/1012497.1012522  0.304
1985 Kapur D, Narendran P. An equational approach to theorem proving in first-order predicate calculus Acm Sigsoft Software Engineering Notes. 10: 63-66. DOI: 10.1145/1012497.1012521  0.305
1985 Kapur D, Narendran P. The Knuth-Bendix Completion Procedure and Thue Systems Siam Journal On Computing. 14: 1052-1072. DOI: 10.1137/0214073  0.385
1985 Kapur D, Narendran P, Krishnamoorthy MS, McNaughton R. The Church-Rosser property and special Thue systems Theoretical Computer Science. 39: 123-133. DOI: 10.1016/0304-3975(85)90134-3  0.312
1985 Kapur D, Narendran P. A finite thue system with decidable word problem and without equivalent finite canonical system Theoretical Computer Science. 35: 337-344. DOI: 10.1016/0304-3975(85)90023-4  0.345
1983 Guttag JV, Kapur D, Musser DR. On Proving Uniform Termination and Restricted Termination of Rewriting Systems Siam Journal On Computing. 12: 189-214. DOI: 10.1137/0212012  0.447
Show low-probability matches.