@string{fbi = "{FB Informatik, Universit\"at Kaiserslautern}"} @string{spring = "Springer"} @string{lnai = "LNAI"} @string{lncs = "LNCS"} @string{jar = "Journal of Automated Reasoning"} @string{jsc = "Journal of Symbolic Computation"} @string{tcs = "Theoretical Computer Science"} @string{jai = "Artificial Intelligence"} @string{cade1 = "Proc. of the $1^{st}$ International Conference on Automated Deduction"} @string{cade2 = "Proc. of the $2^{nd}$ International Conference on Automated Deduction"} @string{cade3 = "Proc. of the $3^{rd}$ International Conference on Automated Deduction"} @string{cade4 = "Proc. of the $4^{th}$ International Conference on Automated Deduction"} @string{cade5 = "Proc. of the $5^{th}$ International Conference on Automated Deduction"} @string{cade6 = "Proc. of the $6^{th}$ International Conference on Automated Deduction"} @string{cade7 = "Proc. of the $7^{th}$ International Conference on Automated Deduction"} @string{cade8 = "Proc. of the $8^{th}$ International Conference on Automated Deduction"} @string{cade9 = "Proc. of the $9^{th}$ International Conference on Automated Deduction"} @string{cade10 = "Proc. of the $10^{th}$ International Conference on Automated Deduction"} @string{cade11 = "Proc. of the $11^{th}$ International Conference on Automated Deduction"} @string{cade12 = "Proc. of the $12^{th}$ International Conference on Automated Deduction"} @string{cade13 = "Proc. of the $13^{th}$ International Conference on Automated Deduction"} @string{ctrs1 = "$1^{st}$ CTRS"} @string{ctrs2 = "Proc. of the $2^{nd}$ International Workshop on Conditional and Typed Rewriting Systems"} @string{ctrs3 = "Proc. of the $3^{rd}$ International Workshop on Conditional and Typed Rewriting Systems"} @string{ctrs4 = "Proc. of the $4^{th}$ International Workshop on Conditional and Typed Rewriting Systems"} @string{ijcai1 = "Proc. of the $1^{st}$ International Joint Conference on Artificial Intelligence"} @string{ijcai2 = "Proc. of the $2^{nd}$ International Joint Conference on Artificial Intelligence"} @string{ijcai3 = "Proc. of the $3^{rd}$ International Joint Conference on Artificial Intelligence"} @string{ijcai4 = "Proc. of the $4^{th}$ International Joint Conference on Artificial Intelligence"} @string{ijcai5 = "Proc. of the $5^{th}$ International Joint Conference on Artificial Intelligence"} @string{ijcai6 = "Proc. of the $6^{th}$ International Joint Conference on Artificial Intelligence"} @string{ijcai7 = "Proc. of the $7^{th}$ International Joint Conference on Artificial Intelligence"} @string{ijcai8 = "Proc. of the $8^{th}$ International Joint Conference on Artificial Intelligence"} @string{ijcai9 = "Proc. of the $9^{th}$ International Joint Conference on Artificial Intelligence"} @string{ijcai10 = "Proc. of the $10^{th}$ International Joint Conference on Artificial Intelligence"} @string{ijcai11 = "Proc. of the $11^{th}$ International Joint Conference on Artificial Intelligence"} @string{ijcai12 = "Proc. of the $12^{th}$ International Joint Conference on Artificial Intelligence"} @string{ijcai13 = "Proc. of the $13^{th}$ International Joint Conference on Artificial Intelligence"} @string{lics3 = "$3^{rd}$ LICS"} @string{rta1 = "Proc. of the $1^{st}$ International Conference on Rewriting Techniques and Applications"} @string{rta2 = "Proc. of the $2^{nd}$ International Conference on Rewriting Techniques and Applications"} @string{rta3 = "Proc. of the $3^{rd}$ International Conference on Rewriting Techniques and Applications"} @string{rta4 = "Proc. of the $4^{th}$ International Conference on Rewriting Techniques and Applications"} @string{rta5 = "Proc. of the $5^{th}$ International Conference on Rewriting Techniques and Applications"} @string{rta6 = "Proc. of the $6^{th}$ International Conference on Rewriting Techniques and Applications"} @string{rta7 = "Proc. of the $7^{th}$ International Conference on Rewriting Techniques and Applications"} @string{rta8 = "Proc. of the $8^{th}$ International Conference on Rewriting Techniques and Applications"} @Misc{Aub76, author = "Raymond Aubin", title = "Mechanizing structural induction", howpublished = "PhD Thesis, University of Edinburgh", year = 1976 } @Article{Aub79, author = "Raymond Aubin", title = "Mechanizing structural induction", journal = tcs, year = 1979, volume = 9, pages = "347--362" } @Book{Ave95, author = "J{\"u}rgen Avenhaus", title = "Reduktionssysteme", publisher = spring, year = 1995, note = "(German)", address = "Berlin Heidelberg" } @InCollection{AveMad90, author = "J{\"u}rgen Avenhaus and Klaus Madlener", title = "Term rewriting and equational reasoning", booktitle = "Formal Techniques in Artificial Intelligence", publisher = "North-Holland", year = 1990, editor = "R.B. 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Slaney", volume = 1104, series = lnai, pages = "538--552", publisher = spring } @TechReport{KueWir96, author = "Ulrich K{\"u}hler and Claus-Peter Wirth", title = "Conditional Equational Specifications of Data Types with Partial Operations for Inductive Theorem Proving", institution = fbi, year = 1996, type = "SEKI-Report", number = "SR-96-11" } @InProceedings{KueWir97, author = "Ulrich K{\"u}hler and Claus-Peter Wirth", title = "Conditional Equational Specifications of Data Types with Partial Operations for Inductive Theorem Proving", editor = "H. Comon", volume = 1232, series = lncs, pages = "38-52", booktitle = rta8, year = 1997, publisher = spring } @Misc{Kue99, author = "U. 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Musser", title = "Automated Theorem Proving for Analysis and Synthesis of Computations", booktitle = "Current Trends in Hardware Verification and Automated Theorem Proving", publisher = spring, year = 1989, editor = "G. Birtwistle and P. A. Subrahmanyam", pages = "440--464" } @Book{Pad88, author = "Peter Padawitz", title = "Computing in Horn Clause Theories", publisher = spring, year = 1988, address = "Berlin Heidelberg" } @Book{Pea84, author = "Judea Pearl", title = "Heuristics: intelligent search strategies for computer problem solving", publisher = "Addison-Wesley", year = 1984, address = "Reading" } @article{Pla85, author = "David A. Plaisted", journal = "Information and Control", pages = "182--215", title = "Semantic Confluence Tests and Completion Methods", volume = 65, year = 1985 } @InCollection{Pla93, author = "David A. Plaisted", title = "Equational Reasoning and Term Rewriting Systems", booktitle = "Handbook of Logic in Artificial Intelligence and Logic Programming", publisher = "Oxford University Press, Oxford", year = 1993, editor = "Dov M. Gabbay and C. J. Hogger and J. A. Robinson", volume = 1, chapter = 5, pages = "273--364" } @InProceedings{Pro94, author = "Martin Protzen", title = "Lazy Generation of Induction Hypotheses", booktitle = cade12, year = 1994, editor = "Alan Bundy", volume = 814, series = lnai, pages = "42--56", publisher = spring } @InProceedings{Red90, author = "Uday S. Reddy", title = "Term Rewriting Induction", editor = "M. E. Stickel", volume = 449, series = lncs, pages = "162--177", booktitle = cade10, year = 1990 } @Misc{Sch97, author = "Tobias Schmidt{-S}amoa", title = "Realisierung einer {T}aktik-basierten {B}eweissteuerungs{\-}komponente f{\"u}r den induktiven {T}heorembeweiser {Q}uod{L}ibet", howpublished = "Pro{\-}jektarbeit (German), Fachbereich Informatik, Universit{\"a}t Kaisers{\-}lautern, Germany", year = 1997 } @Misc{SchKue97, author = "J{\"u}rgen Schumacher and Ulrich K{\"u}hler", title = "{XQL} --- A Graphical User Interface for the Inductive Theorem Prover \ql", howpublished = "Unpublished technical report, Fachbereich Informatik, Universit{\"a}t Kaiserslautern, Germany", year = 1997 } @Misc{Spr96, author = "Christof Sprenger", title = "{\"U}ber die {B}eweissteuerung des induktiven {T}heorem{\-}bewei{\-}sers {Q}uod{L}ibet", howpublished = "Diplomarbeit (German), Fachbereich Informatik, Universit{\"a}t Kaisers{\-}lautern, Germany", year = 1996 } @InProceedings{Wal94a, author = "Toby Walsh", title = "A Divergence Critic", booktitle = cade12, year = 1994, editor = "Alan Bundy", volume = 814, series = lnai, pages = "14--28", publisher = spring } @InProceedings{Wal88, author = "Christoph Walther", title = "Argument Bounded Algorithms as a Basis for Automated Termination Proofs", editor = "E. Lusk and R. Overbeek", volume = 310, series = lncs, pages = "601-622", booktitle = cade9, year = 1988, publisher = spring } @InCollection{Wal94b, author = "Christoph Walther", title = "Mathematical Induction", booktitle = "Handbook of Logic in Artificial Intelligence and Logic Programming", publisher = "Oxford University Press, Oxford", year = 1994, editor = "Dov M. Gabbay and C. J. Hogger and J. A. Robinson", volume = 2, chapter = "13", pages = "127--228", } @Book{Wec92, author = "W. Wechler", title = "Universal Algebra for Computer Scientists", publisher = spring, year = 1992, address = "Berlin Heidelberg" } @Article{Wir71, author = "Niklaus Wirth", title = "The Programming Language {P}ascal", journal = "Acta Informatica", year = 1971, volume = 1, pages = "35--63" } @InCollection{Wir90, author = "Martin Wirsing", title = "Algebraic Specification", booktitle = "Handbook of Theoretical Computer Science B: Formal Methods and Semantics", publisher = "Elsevier Science Publishers B. V.", year = 1990, editor = "J. van Leeuwen", chapter = 13, pages = "675--788", address = "Amsterdam" } @TechReport{Wir95, author = "Claus-Peter Wirth", title = "Syntactic Confluence Criteria for Positive/Negative-Conditional Term Rewriting Systems", institution = "Fachbereich Informatik", year = 1995, type = "SEKI-Report", number = "SR-95-09", address = "Universit{\"a}t Kaiserslautern, Germany" } @Book{Wir97, author = "Claus-Peter Wirth", title = "Positive/Negative-Conditional Equations --- A Con\-struc\-tor-Based Framework for Specification and Inductive Theorem Proving", note = "PhD Thesis", publisher = "Verlag Dr.\ Kova\v{c}", year = 1997 } @InProceedings{WirBec95, author = "Claus-Peter Wirth and Klaus Becker", title = "Abstract Notions and Inference Systems for Proofs by Mathematical Induction", booktitle = ctrs4, year = 1995, editor = "N. Dershowitz and N. Lindenstrauss", volume = 968, series = lncs, pages = "353--373", publisher = spring } @InProceedings{WirGra94a, author = "Claus-Peter Wirth and Bernhard Gramlich", title = "On Notions of Inductive Validity for First-Order Equational Clauses", booktitle = cade12, year = 1994, editor = "Alan Bundy", volume = 814, series = lnai, pages = "162--176", publisher = spring } @Article{WirGra94b, author = "Claus-Peter Wirth and Bernhard Gramlich", title = "A Constructor-Based Approach to Positive/ Negative-Conditional Equational Specifications", journal = jsc, year = 1994, volume = 17, pages = "51--90" } @TechReport{WirKue95, author = "Claus-Peter Wirth and Ulrich K{\"u}hler", title = "Inductive Theorem Proving in Theories Specified by Positive/Negative-Conditional Equations", institution = "Fachbereich Informatik", year = 1995, type = "SEKI-Report", number = "SR-95-15", address = "Universit{\"a}t Kaiserslautern, Germany" } @InProceedings{ZhaKapKri88, author = "Hantao Zhang and Deepak Kapur and M. S. Krishnamoorthy", title = "A Mechanizable Induction Principle for Equatioal Specifications", editor = "E. Lusk and R. Overbeek", volume = 310, series = lncs, pages = "162--181", booktitle = cade9, year = 1988, publisher = spring } @InProceedings{ZhaHua92, author = "Hantao Zhang and Xin Hua", title = "Proving the Chinese Remainder Theorem by the Cover Set Induction", editor = "D. Kapur", volume = 607, series = lnai, pages = "431--445", booktitle = cade11, year = 1992, publisher = spring }