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Automated Deduction
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ORA Canada Bibliography of Automated Deduction: Authors O to R

[O'Donnell 1977] M.J. O'Donnell, Computing in systems described by equations, LNCS 58, Springer-Verlag, Berlin, 1977.

[O'Donnell 1985] M.J. O'Donnell, Equational logic as a programming language, MIT Press, Cambridge, MA, 1985.

[O'Donnell 1987] M.J. O'Donnell, Term-rewriting implementation of equational logic programming, Proc. 2nd Intl. Conf. on Rewriting Techniques and Applications (Bordeaux, France, 25-27 May 1987), ed. P. Lescanne, LNCS 256, Springer-Verlag, Berlin, 1987, pp. 1-12.

[Ogawa 1979] H. Ogawa, T. Kitahashi, K. Tanaka, The theorem prover using a parallel processing system, Proc. 6th IJCAI, Tokyo, August 1979, pp. 665-667.

*[O'Hearn 1989a] P. O'Hearn, Z. Stachniak, A resolution framework for finitely-valued first-order logics, Proc. Scandinavian Conf. on Artificial Intelligence -- 89 (SCAI '89, Tapere, Finland, 13-15 June 1989), ed. H. Haakkola and S. Linnainmaa, IOS, Amsterdam, Netherlands, 1989, pp. 69-81; also J. Symbolic Comput. 13(3):235-254, March 1992.

[O'Hearn 1989b] P. O'Hearn, Z. Stachniak, A note on theorem proving strategies for resolution counterparts of finitely-valued logic, Proc. Internat. Symp. on Symbolic and Algebraic Computation, Portland, pp. 364-372, 1989.

[Ohlbach 1982] H.J. Ohlbach, The Markgraf Karl refutation procedure: The logic engine, Interner Bericht 24/82, Memo SEKI-82-11, Inst. fur Informatik I, Univ. Karlsruhe, 1982.

[Ohlbach 1983a] H.J. Ohlbach, The Markgraf Karl refutation procedure, the Terminator module, Interner Bericht, Univ. of Karlsruhe, 1983.

[Ohlbach 1983b] H.J. Ohlbach, G. Wrightson, Solving a problem in relevance logic with an automated theorem prover, Interner Bericht 11/83, Memo SEKI-83-V, Institut fur Informatik I, Universitat Karlsruhe, W. Germany, 1983. also Proc. 7th Intl. Conf. on Automated Deduction (CADE-7, Napa, CA, May 1984), ed. R.E. Shostak, LNCS 170, Springer-Verlag, NY, 1984, pp. 496-508.

[Ohlbach 1985a] H.J. Ohlbach, M. Schmidt-Schauss, The lion and the unicorn, J. of Automated Reasoning 1(3):327-332, D. Reidel Publ. Co., Dordrecht, Holland, 1985.

[Ohlbach 1985b] H.J. Ohlbach, Predicate logic hacker tricks, J. of Automated Reasoning 1(4):435-440, D. Reidel Publ. Co., Dordrecht, Holland, 1985.

[Ohlbach 1985c] H.J. Ohlbach, Theory unification in abstract clause graphs, Proc. GWAI-85, 9th German Workshop on Artificial Intelligence, Dassel/Solling (23-27 September 1985), Informatik-Fachberichte 118, ed. H. Stoyan, Springer-Verlag, Berlin, 1985, pp. 77-100.

*[Ohlbach 1986] H.J. Ohlbach, The semantic clause graph procedure -- A first overview, GWAI-86 und 2. Osterreichische Artificial-Intelligence-Tagung (Ottenstein/Niederosterreich, 22-26 September 1986), Informatik-Fachberichte 124, Springer-Verlag, Berlin, 1986, pp. 218-229.

[Ohlbach 1987] H.J. Ohlbach, Link inheritance in abstract clause graphs, J. of Automated Reasoning 3(1):1-34, March 1987.

*[Ohlbach 1988a] H.-J. Ohlbach, A resolution calculus for modal logics, SEKI Report SR-88-08, Universitat Kaiserslautern, 1988. also Proc. 9th Intl. Conf. on Automated Deduction (CADE-9, Argonne, Illinois, 23-26 May 1988), ed. E. Lusk and R. Overbeek, LNCS 310, Springer-Verlag, Berlin, 1988, pp. 500-516.

[Ohlbach 1988b] H.-J. Ohlbach, J. Siekmann, Using automated reasoning techniques for deductive databases, SEKI Report SR-88-06, Universitat Kaiserslautern, 1988.

[Ohlbach 1989a] H.-J. Ohlbach, Context Logic, SEKI Report SR-89-08, Fachbereich Informatik, Universitat Kaiserslautern, Kaiserslautern, Germany, 1989.

*[Ohlbach 1989b] H.-J. Ohlbach, Context Logic -- An Introduction, Proc. 13 German Workshop on Artificial Intelligence (GWAI-89, Eringerfeld, 18-22 September 1989), ed. D. Metzing, Springer-Verlag, Berlin, 1989, pp. 27-36.

*[Ohlbach 1990a] H.J. Ohlbach, A. Herzig, Compilation techniques for logics (tutorial abstract), Proc. 10th Intl. Conf. on Automated Deduction (CADE-10, Kaiserslautern, FRG, July 1990), Lecture Notes in Artificial Intelligence 449, ed. M.E. Stickel, Springer-Verlag, Berlin, 1990, p. 683.

*[Ohlach 1990b] H.J. Ohlbach, Abstraction tree indexing for terms, Proc. 9th ECAI (Stockholm, Sweden, 6-10 August 1990), ed. L.C. Aiello, Pitman Publishing, London, 1990, pp. 479-484.

[Ohlach 1990c] H.J. Ohlbach, Compilation of recursive two-literal clauses into unification n algorithms, Proc. AIMSA, 1990.

[Ohsuga 1986a] A. Ohsuga, K. Sakai, Refutational theorem proving for equational systems based on term rewriting, Tech. Report COMP86-40, ICOT, 1986.

[Ohsuga 1986b] A. Ohsuga, K. Sakai, Metis: A term rewriting system generator, Tech. Report, ICOT Research Center, Tokyo, Japan, 1986.

[Ohsuga 1988] A. Ohsuga, K. Sakai, An efficient implementation method of reduction and narrowing in Metis, Tech. Report, ICOT Research Center, Japan, 1988.

*[Okada 1988] M. Okada, A logical analysis for theory of conditional rewriting, Proc. 1st Intl. Workshop on Conditional Term Rewriting Systems (Orsay, France, 8-10 July 1987), ed. S. Kaplan and J.-P. Jouannaud, LNCS 308, Springer-Verlag, Berlin, 1988, pp. 179-196.

[Omodeo 1982] E.G. Omodeo, The linked conjunct method for automatic deduction and related search techniques, Comput. and Math. with Appl. 8(3):185-203, 1982.

[Omodeo 1984] E.G. Omodeo, Decidability and proof procedures for set theory with a choice operator, PhD thesis, New York Univ., GSAS, Courant Institute of Mathematical Sciences, New York, 1984.

*[Omodeo 1986] E.G. Omodeo, Hints for the design of a set calculus oriented to Automated Deduction, Proc. Foundations of Logic and Functional Programming (Trento, Italy, 15-19 December 1986), ed. M. Boscarol, L.C. Aiello, and G. Levi, LNCS 306, Springer-Verlag, 1988, pp. 201-218.

*[Omodeo 1990] E. Omodeo, F. Parlamento, A. Policriti, Truth tables for a combinatorial kernel of set theories, Proc. 9th ECAI (Stockholm, Sweden, 6-10 August 1990), ed. L.C. Aiello, Pitman Publishing, London, 1990, pp. 485-490.

[Oppacher 1986a] F. Oppacher, E. Suen, Controlling deduction with proof condensation and heuristics, Proc. 8th Intl. Conf. on Automated Deduction (CADE-8, Oxford, England, July 27-August 1, 1986), ed. J.H. Siekmann, LNCS 230, Springer-Verlag, Berlin, 1986, pp. 384-393.

[Oppacher 1986b] F. Oppacher, E. Suen, An efficient tableau-based theorem prover, Proc. 6th Canadian Conf. on Artificial Intelligence, Ecole Polytechnique de Montreal, Montreal, Canada, May 1986, pp. 31-35.

*[Oppacher 1988] F. Oppacher, E. Suen, HARP: A tableau-based theorem prover, J. of Automated Reasoning 4(1):69-100, March 1988.

[Oppen 1977] D. Oppen, G. Nelson, Fast decision algorithms based on union and find, Proc. 8th Symp. on Foundations of Computer Science, IEEE Computer Society, Princeton, N.J., 1977, pp. 114-119.

[Oppen 1978] D. Oppen, Reasoning about recursively defined data structures, CS Report STAN-CS-78-678, Stanford Univ., 1978; Proc. 5 ACM Symp. POPL, 1978, pp. 151-157.

[Oppen 1979] D.C. Oppen, Convexity, complexity and combinations of theories, 4th Symp. on Automated Deduction, Austin, 1979.

[Oppen 1979] D. Oppen, Complexity, convexity and combinations of theories, Theoretical Computer Science 12(1980):291-302.

[Orekov 1971] V.P. Orekov, On nonlengthening applications of equality rules, Seminars in Mathematics 16, V.A. Steklov Mathem. Institute, Leningrad, Consultants Bureau, NY-London, 1971, pp. 77-79.

[Orgass 1974] R.J. Orgass, Y.H. Teng, An interactive proof checking program, Laboratory for Computer Science, Rutgers Univ., 1974.

[Orlowska 1972] E. Orlowska, Theorem proving systems, Intl. Symp. and Summer School on Math. Foundations of Comput. Sci., Warsaw, Poland, August 1972.

[Orlowska 1978] E. Orlowska, The resolution principle for omega/sup +/-valued logic, Ann. Soc. Math. Pol. Ser. IV: Fundam. Inf. 2(7):1-15, Poland, 1978.

[Orlowska 1980] E. Orlowska, Resolution systems and their applications, I and II, Fundamenta Informaticae, pp. 235-267, 333-362, Poland, 1980.

[Otto 1985a] F. Otto, Deciding algebraic properties of monoids presented by finite Church-Rosser Thue systems, Proc. 1st Conf. Rewriting Techniques and Applications (Dijon, France, 20-22 May 1985), ed. J.P. Jouannaud, LNCS 202, Springer-Verlag, Berlin, 1985. pp. 95-106.

[Otto 1985b] F. Otto, Elements of finite order for finite monadic Church-Rosser Thue systems. Transactions of the American Math. Soc. 291(1985):629-637.

[Otto 1985c] F. Otto, Decision problems and their complexity for monadic Church-Rosser Thue systems, Habilitationsschrift, Univ. Kaiserslautern, 1985.

[Otto 1987a] F. Otto, C. Squier, The word problem for finitely presented monoids and finite canonical rewriting systems,

[Otto 1987b] F. Otto, Some results about confluence on a given congruence class, Proc. 2nd Intl. Conf. on Rewriting Techniques and Applications (Bordeaux, France, 25-27 May 1987), ed. P. Lescanne, LNCS 256, Springer-Verlag, Berlin, 1987, pp. 145-155.

*[Otto 1989] F. Otto, Restrictions of congruences generated by finite canonical string-rewriting systems, Proc. 3rd Intl. Conf. Rewriting Techniques and Applications (Chapel Hill, North Carolina, 3-5 April 1989), ed. N. Dershowitz, Springer-Verlag, NY, 1989, pp. 359-370.

[Overbeek 1974] R.A. Overbeek, A new class of automated theorem-proving algorithms, JACM 21(1974):191-200.

[Overbeek 1975] R.A. Overbeek, An implementation of hyper-resolution, Computers and Mathematics with Applications 1(1975):201-214.

[Overbeek 1976] R. Overbeek, J. McCharen, L. Wos, Complexity and related enhancements for automated theorem-proving programs, Computers and Mathematics with Applications 2(1-A):1-16, 1976.

[Overbeek 1980] R.A. Overbeek, E.L. Lusk, Data structures and control architecture for implementation of theorem-proving programs, Proc. 5th Conf. on Automated Deduction (Les Arcs, France, 8-11 July 1980), ed. W. Bibel and R. Kowalski, LNCS 87, Springer-Verlag, Berlin, 1980.

[Owe 1981] O. Owe, A technique for quantifier removal, Research Rep. 65, Inst. of Informatics, Univ. of Oslo, 1981.

[Owen 1968] R.H. Owen, Some Experiments with a Computer Realization of a Theorem-Proving Method, Dept. of Machine Intelligence and Perception, Univ. of Edinburgh, Res. Memo, No. MIP-R-43, November 1968.

[Owen 1986] S. Owen, Heuristics for analogy matching, DAI Research Paper 280, Dept. of Artificial Intelligence, Univ. of Edinburgh, February 1986; also in Proc. 7th ECAI, ECAI, 1986.

[Owen 1988] S. Owen, Finding and using analogies to guide mathematical proof, PhD thesis, Univ. of Edinburgh, 1988.

[Owen 1990] S. Owen, Analogy for automated reasoning, Volume 9, Academic Press, Inc., San Diego, CA, 1990.

[Owre 1985] S. Owre, J.D. Halpern, MUSE: The Sytek proof processing system, Sytek TR-85007, Sytek, Incorporated, 1225 Charleston Road, Mountain View, CA 94039, July 1985.

*[Owre 1992] S. Owre, J.M. Rushby, N. Shankar, PVS: A Prototype Verification System, Proc. 11th Intl. Conf. on Automated Deduction (CADE-11, Saratoga Springs, NY, USA, June 1992), ed. D. Kapur, Lecture Notes in Artificial Intelligence 607, Springer-Verlag, Berlin, 1992, pp. 748-752.

[Oyamaguchi 1986] M. Oyamaguchi, Sufficient sequentiality: a decidable condition for call-by-need computations in term rewriting systems, COMP86-38, 1986.

[Oyamaguchi 1987] M. Oyamaguchi, The Chruch-Rosser property for ground term-rewriting systems is decidable, Tech. Report, Faculty of Engineering, Mie University, Tsu 514, Japan, 1987; Theoretical Computer Science 49(1): 43-80, 1987.

[Ozturk 1989] Y. Ozturk, Interactive advice system for automated theorem provers, PhD Thesis, EECS Dept., Northwestern Univ., Evanston, 1989.

*[Ozturk 1990] Y. Ozturk, L. Henschen, Hyper resolution and equality axioms without functions substitutions, Proc. 10th Intl. Conf. on Automated Deduction (CADE-10, Kaiserslautern, FRG, July 1990), Lecture Notes in Artificial Intelligence 449, ed. M.E. Stickel, Springer-Verlag, Berlin, 1990, pp. 456-469.

[Padawitz 1983] P. Padawitz, Correctness, completeness and consistency of equational data type specifications, Dissertation, Report No. 83-15, FB 20, TU Berlin, 1983.

*[Padawitz 1986] P. Padawitz, Horn clause specifications: Reduction and narrowing, MIP-8601, Universitat Passau, Fakultat fur Mathematik und Informatik, February 1986.

[Padawitz 1987a] P. Padawitz, Strategy-controlled reduction and narrowing, Proc. 2nd Intl. Conf. on Rewriting Techniques and Applications (Bordeaux, France, 25-27 May 1987), ed. P. Lescanne, LNCS 256, Springer-Verlag, Berlin, 1987, pp. 242-255.

*[Padawitz 1987b] P. Padawitz, ECDS -- A rewrite rule based interpreter for a programming language with abstraction and communication, Report MIP-8703, Fakultat fur Mathematik und Informatik, Universitat Passau, 1987.

*[Padawitz 1988a] P. Padawitz, Inductive proofs of constructor-based Horn clauses, Report MIP-8810, Fakultat fur Mathematik und Informatik, Universitat Passau, April 1988.

*[Padawitz 1988b] P. Padawitz, Computing in Horn clause theories, EATCS Monographs on Theoretical Computer Science 16, Springer-Verlag, Berlin, 1988.

[Padawitz 1988c] P. Padawitz, Can inductive proofs be automated? EATCS Bulletin 35(1988): 163-170.

[Padawitz 1988d] P. Padawitz, Reduction and narrowing for Horn clause theories, Report, Universitat Passau, 1988; also Comput. J. 34(1):42-51, February 1991.

*[Padawitz 1989a] P. Padawitz, Inductive Expansion, MIP-8907, Fakultat fur Mathematik und Informatik, Universitat Passau, April 1989.

[Padawitz 1989b] P. Padawitz, Can inductive proofs be automated? Part II. EATCS Bulletin 37(1989): 168-174.

[Padawitz 1989c] P. Padawitz, On goal and term reduction calculi, Proc. 1st German Workshop on Term Rewriting, SEKI Report SR-89-02, Universitat Kaiserslautern, 1989.

[Padawitz 1990] P. Padawitz, Horn logic and rewriting for functional and logic program design, Report MIP-9002, Fakultat fur Mathematik und Informatik, Universitat Passau, 1990.

*[Padawitz 1991] P. Padawitz, Inductive expansion: a calculus for verifying and synthesizing functional and logic programs, J. Automated Reasoning 7(1):27-103, March 1991.

*[Padawitz 1991] P. Padawitz, Reduction and Narrowing for Horn clause theories, The Computer Journal 34(1):42-51, February 1991.

*[Panangaden 1989] P. Panangaden, P. Mendler, M.I. Schwartzbach, Recursively defined types in constructive type theory, In: Resolution of Equations in Algebraic Structures: Vol 1, Algebraic Techniques, ed. H. Ait-Kaci, M. Nivat, Academic Press, Inc., San Diego, 1989, pp. 369-410.

[Pankov 1978] P.S. Pankow, Composite method of proving some theorems in mathematical analysis with the aid of electronic computers, Kibernetika 14(3):119-125, USSR, May 1978.

[Parlamento 1988] F. Parlamento, A. Policriti, Decision procedures for elementary sublanguages of set theory. IX. Undecidability of set theoretic formulas involving restricted quantifiers, Comm. Pure Appl. Math 41(1988):221-251.

*[Parlamento 1991] F. Parlamento, A. Policriti, Decision procedures for elementary sublanguages of set theory: XIII. Model graphs, reflection and decidability, J. of Automated Reasoning 7(2):271-284, June 1991.

*[Parnas 1993] D. L. Parnas, Some theorems we should prove, Communications Research Laboratory, Dept. of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, June 1993.

*[Pase 1987] B. Pase, S. Kromodimoeljo, m-NEVER user's manual, TR-87-5420-13, I.P. Sharp Associates Limited, November 1987.

*[Pase 1988] B. Pase, S. Kromodimoeljo, m-NEVER System Summary, Proc. 9th Intl. Conf. on Automated Deduction (CADE-9, Argonne, Illinois, 23-26 May 1988), ed. E. Lusk and R. Overbeek, LNCS 310, Springer-Verlag, Berlin, 1988, pp. 738-739.

*[Pase 1989] B. Pase, M. Saaltink, Formal verification in m-EVES, In Current Trends in Hardware Verification and Automated Theorem Proving, ed. G. Birtwistle and P.A. Subrahmanyam, Springer-Verlag, NY, 1989, pp. 268-302.

[Pastre 1978] D. Pastre, Automatic theorem proving in set theory, Artificial Intelligence 10(1):1-27, North-Holland, 1978.

*[Pastre 1982] D. Pastre, A language for expressing mathematical knowledge in automatic theorem proving, Proc. ECAI-82, Paris-Sud, Orsay, France, 12-14 July 1982, pp. 116-118.

[Pastre 1987] D. Pastre, MUSCADET: An automatic theorem proving system using knowledge and metaknowledge in mathematics, PhD thesis, Univ. Paris, 1987; also Artificial Intelligence Journal 38(April 1989):257-318.

*[Patel-Schneider 1990] P.F. Patel-Schneider, A decidable first-order logic for knowledge representation, J. Automated Reasoning 6(4):361-388, December 1990.

[Paterson 1978] M.S. Paterson, M.N. Wegman, Linear Unification, J. of Computer and Systems Sciences 16(2):158-167, 1978.

[Paul 1984a] E. Paul, A new interpretation of the resolution principle, Proc. 7th Intl. Conf. on Automated Deduction (CADE-7, Napa, CA, May 1984), ed. R.E. Shostak, LNCS 170, Springer-Verlag, NY, 1984, pp. 333-355.

[Paul 1984b] E. Paul, Proof by induction in equational theories with relations between constructors, Proc. 9th Colloquium on Trees in Algebra and Programming (Bordeaux, France, March 1984), ed. B. Courcelle, Cambridge Univ. Press, 1984, pp. 211-225.

*[Paul 1985a] E. Paul, On solving the equality problem in theories defined by Horn clauses, Proc. European Conf. on Computer Algebra (EUROCAL '85, Linz, Austria, 1-3 April 1985), Vol. 2: Research Contributions, ed. B.F. Caviness, LNCS 204, Springer-Verlag, Berlin, pp. 363-377; also Theoretical Computer Science 44(2):127-153, 1986.

[Paul 1985b] E. Paul, Equational methods in first order predicate calculus, J. of Symbolic Computation 1(1):7-29, March 1985.

[Paulson 1983a] L. Paulson, The revised logic PPLAMBDA - A reference manual, Tech. Report 36, Computer Laboratory, Univ. of Cambridge, March 1983.

[Paulson 1983b] L. Paulson, Tactics and tacticals in Cambridge LCF, Tech. Report 39, Computer Laboratory, Univ. of Cambridge, July 1983.

[Paulson 1983c] L. Paulson, A higher-order implementation of rewriting, North-Holland, Science of Computer Programming 3(1983):119-149.

[Paulson 1983d] L. Paulson, Recent developments in LCF: Examples of structural induction, Tech. Report 34, Computer Laboratory, Univ. of Cambridge, January 1983.

[Paulson 1984a] L.C. Paulson, Deriving structural induction in LCF, Intl. Symp. on Semantics of Data Types, ed. G. Kahn, D.B. MacQueen, and G. Plotkin, Springer, pp. 197-214, 1984.

[Paulson 1984b] L.C. Paulson, Verifying the unification algorithm in LCF, Tech. Report 50, Computer Laboratory, Univ. of Cambridge, March 1984; also Science of Computer Programming 5(1985):143-169.

[Paulson 1985a] L.C. Paulson, Lessons learned from LCF: A survey of natural deduction proofs, The Computer J. 28(5):474-479, November 1985.

[Paulson 1985b] L.C. Paulson, Interactive theorem proving with Cambridge LCF: A user's manual, Report 80, Computer Lab., Univ. of Cambridge, 1985.

[Paulson 1985c] L.C. Paulson, Natural deduction proof as higher-order resolution, Tech. Report 82, Univ. of Cambridge, Computer Laboratory, 1985; also J. of Logic Programming 3(1986):237-258.

*[Paulson 1985d] L.C. Paulson, Proving termination of normalization functions for conditional expressions, Tech. Report 69, Univ. of Cambridge, Computer Laboratory, June 1985; also J. of Automated Reasoning 2(1):63-74, D. Reidel Publ. Co., Dordrecht, Holland, 1986.

*[Paulson 1986a] L.C. Paulson, Natural deduction as higher-order resolution, J. of Logic Programming 3(3):237-258, October 1986; also Pattern Recognition Letters 5(3):237-258, March 1987.

[Paulson 1986b] L.C. Paulson, Constructing recursion operators in intuitionistic type theory, J. of Symbolic Computation 2(1986):325-355.

[Paulson 1987a] L.C. Paulson, Logic and Computation: Interactive Proof with Cambridge LCF, Cambridge Univ. Press, 1987.

[Paulson 1987b] L.C. Paulson, The representation of logics in higher-order logic, Univ. Cambridge Technical Report R-113, 1987.

*[Paulson 1988a] L.C. Paulson, The foundation of a generic theorem prover, Report 130, Computer Laboratory, Univ. of Cambridge, 1988; also J. Automated Reasoning 5(3):363-397, September 1989.

*[Paulson 1988b] L.C. Paulson, A preliminary user's manual for Isabelle, Report 133, Computer Laboratory, Univ. of Cambridge, 1988.

*[Paulson 1988c] L.C. Paulson, Isabelle: The next seven hundred theorem provers, Proc. 9th Intl. Conf. on Automated Deduction (CADE-9, Argonne, Illinois, 23-26 May 1988), ed. E. Lusk and R. Overbeek, LNCS 310, Springer-Verlag, Berlin, 1988, pp. 772-773.

[Paulson 1988d] L.C. Paulson, Higher-order logic as the basis of generic theorem provers, Report, Computer Lab., Univ. of Cambridge, 1988.

*[Paulson 1988e] L.C. Paulson, Experience with Isabelle: A generic theorem prover (preliminary version), Tech. Report No. 143, Computer Lab., Univ. of Cambridge, August 1988; also in COLOG 88, Institute of Cybernetics of the Estonian SSR, 1988.

*[Paulson 1989] L.C. Paulson, A formulation of the simple theory of types (for Isabelle), Tech. Report No. 175, Computer Laboratory, Univ. of Cambridge, August 1989.

*[Paulson 1993] L.C. Paulson, Set theory for verification: II. Induction and recursion, Tech. Report No. 312, Computer Laboratory, Univ. of Cambridge, September 1993.

[Pearl 1984] J. Pearl, Heuristics: Intelligent search strategies for computer problem solving, Addison-Wesley Publishing Company, 1984.

*[Pearl 1987] J. Pearl, R.E. Korf, Search techniques, Annual Review of Computer Science, Vol. 2, 1987. pp. 451-467.

[Pedersen 1981] J. Pedersen, M. Stickel, Complete sets of reductions for some equational theories, JACM 28(1981):233-264.

*[Pedersen 1985] J. Pedersen, Obtaining complete sets of reductions and equations without using special unification algorithms (extended abstract), Proc. European Conf. on Computer Algebra (EUROCAL '85, Linz, Austria, 1-3 April 1985), Vol. 2: Research Contributions, ed. B.F. Caviness, LNCS 204, Springer-Verlag, Berlin, pp. 422-423.

*[Pedersen 1989] J. Pedersen, Morphocompletion for one-relation monoids, Proc. 3rd Intl. Conf. Rewriting Techniques and Applications (Chapel Hill, North Carolina, 3-5 April 1989), ed. N. Dershowitz, Springer-Verlag, NY, 1989, pp. 574-578.

[Pederson 1984] J. Pederson, Confluence methods and the word problem in universal algebra, PhD diss., Emory Univ., Atlanta, 1984.

*[Peikert] R. Peikert, Automated theorem proving: the resolution method, SIGSAM Bulletin 21(3):61-68, August 1987.

[Pelin 1984] A. Pelin, J.H. Gallier, Solving word problems in free algebras using complexity functions, Proc. 7th Intl. Conf. on Automated Deduction (CADE-7, Napa, CA, May 1984), ed. R.E. Shostak, LNCS 170, Springer-Verlag, NY, 1984, pp. 476-495.

*[Pelin 1988] A. Pelin, Computing with conditional rewrite rules, Proc. 1st Intl. Workshop on Conditional Term Rewriting Systems (Orsay, France, 8-10 July 1987), ed. S. Kaplan and J.-P. Jouannaud, LNCS 308, Springer-Verlag, Berlin, 1988, pp. 197-211.

[Pelletier 1982] F.J. Pelletier, Completely non-clausal, completely heuristically driven, automatic theorem proving, M.Sc. Thesis, Tech. Report TR82-7, Dept. of Computing Science, Univ. of Alberta, Edmonton, Alberta, 1982.

[Pelletier 1986a] F.J. Pelletier, Seventy-five problems for testing automatic theorem provers, J. of Automated Reasoning 2(2):191-216, D. Reidel Publ. Co., Dordrecht, Holland, 1986; also ``Errata,'' J. of Automated Reasoning 1988, pp. 235-236.

[Pelletier 1986b] F.J. Pelletier, THINKER, Proc. 8th Intl. Conf. on Automated Deduction (CADE-8, Oxford, England, July 27-August 1, 1986), ed. J.H. Siekmann, LNCS 230, Springer-Verlag, Berlin, 1986, pp. 701-702.

[Pelletier 1987] F.J. Pelletier, Further developments in THINKER, an authomated theorem prover, Tech. Report TR-ARP-16.87, Automated Reasoning Project, Australia National Univeristy.

*[Pelletier 1991] F.J. Pelletier, The philosophy of automated theorem proving, Proc. 12th Intl. Conf. on Artificial Intelligence, Vol 1 (IJCAI-91, Darling Harbour, Sydney, Australia, 24-30 August 1991), Morgan Kaufmann Publ., Inc., 1991, pp. 1039-1045.

[Pelletier 1993a] F.J. Pelletier, Automated Modal Logic Theorem Proving in THINKER. Tech Report TR 93-14, Department of Computing Science, Univ. Alberta, 1993. (source: F.J. Pelletier)

[Pelletier 1993b] F.J. Pelletier, Identity in Modal Logic Theorem Proving, in Studia Logica, v. 52, 1993, pp. 291-308. (source: F.J. Pelletier)

[Pereira 1978] L.M. Pereira, F.C.N. Pereira, D.H.D. Warren, User's guide to DEC system-10 Prolog, LNEC, Lisbon, 1978.

[Pereira 1979] L.M. Pereira, A. Porto, Intelligent backtracking and sidetracking in Horn clause programs - the theory, Dept. di Informatica, Universidade Nova de Lisboa, 1979.

[Pereira 1980] L.M. Pereira, A. Porto, Selective backtracking for logic programs, Proc. 5th Conf. on Automated Deduction (Les Arcs, France, 8-11 July 1980), ed. W. Bibel and R. Kowalski, LNCS 87, Springer-Verlag, Berlin, 1980.

[Pereira 1985] F. Pereira, Logic programming, J. of Automated Reasoning 1(1):9-12, D. Reidel Publ. Co., Dordrecht, Holland, 1985.

*[Perrin 1989] D. Perrin Equations in words, In: Resolution of Equations in Algebraic Structures: Vol 2, Rewriting Techniques, ed. H. Ait-Kaci, M. Nivat, Academic Press, Inc., San Diego, 1989, pp. 275-296.

[Peterson 1976] G.E Peterson, Theorem proving with lemmas, JACM 23(4):573-581, 1976.

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