Automated Model Building
暂无分享,去创建一个
[1] Gernot Salzer,et al. Automated Deduction in Classical and Non-Classical Logics , 2002, Lecture Notes in Computer Science.
[2] Alberto Martelli,et al. Unification in linear time and space: a structured presentation , 1976 .
[3] M. Villiers. Experimentation and Proof in Mathematics , 2010 .
[4] Jean-Pierre Jouannaud,et al. Syntacticness, Cycle-Syntacticness, and Shallow Theories , 1994, Inf. Comput..
[5] R. Milner,et al. The use of machines to assist in rigorous proof , 1984, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[6] Geoffrey Lloyd,et al. Origines et développement de la science grecque : magie, raison et expérience , 1990 .
[7] Sören Stenlund. Combinators, λ-Terms and Proof Theory , 2011 .
[8] Li Bo-chun. Is Mathematics a Natural Science , 2012 .
[9] Maria Davis,et al. Eliminating the irrelevant from mechanical proofs , 1963 .
[10] J. A. Robinson,et al. A Machine-Oriented Logic Based on the Resolution Principle , 1965, JACM.
[11] F. Dick. A survey of the project Automath , 1980 .
[12] Harald Ganzinger,et al. Rewrite-Based Equational Theorem Proving with Selection and Simplification , 1994, J. Log. Comput..
[13] Georg Gottlob,et al. Working with ARMs: Complexity Results on Atomic Representations of Herbrand Models , 2001, Inf. Comput..
[14] Richard C. T. Lee,et al. Symbolic logic and mechanical theorem proving , 1973, Computer science classics.
[15] Ronald Fagin,et al. Reasoning about knowledge , 1995 .
[16] Michael J. C. Gordon,et al. Edinburgh LCF: A mechanised logic of computation , 1979 .
[17] S. Chou. Mechanical Geometry Theorem Proving , 1987 .
[18] Robin Milner,et al. Edinburgh lcf: a mechanized logic of computation , 1978 .
[19] Ricardo Caferra,et al. Model Building and Interactive Theory Discovery , 1995, TABLEAUX.
[20] Alexander Leitsch,et al. Complexity of Resolution Proofs and Function Introduction , 1992, Ann. Pure Appl. Log..
[21] A. Wilkie. THE CLASSICAL DECISION PROBLEM (Perspectives in Mathematical Logic) By Egon Börger, Erich Grädel and Yuri Gurevich: 482 pp., DM.158.–, ISBN 3 540 57073 X (Springer, 1997). , 1998 .
[22] Paul R. Lehman. A Personal Perspective , 2002 .
[23] Christian G. Fermüller,et al. Decision Procedures and Model Building in Equational Clause Logic , 1998, Log. J. IGPL.
[24] Laurent Catach,et al. TABLEAUX: A general theorem prover for modal logics , 1991, Journal of Automated Reasoning.
[25] David W. Reed,et al. SATCHMORE: SATCHMO with RElevancy , 1995, Journal of Automated Reasoning.
[26] Xavier Caicedo Ferrer,et al. A formal system for the non-theorems of the propositional calculus , 1978, Notre Dame J. Formal Log..
[27] Fred Richman,et al. Intuitionism As Generalization , 1990 .
[28] W. W. Bledsoe,et al. Non-Resolution Theorem Proving , 1977, Artif. Intell..
[29] T. Havránek,et al. Mechanizing Hypothesis Formation: Mathematical Foundations for a General Theory , 1978 .
[30] Robert S. Boyer,et al. Computational Logic , 1990, ESPRIT Basic Research Series.
[31] Kenneth Appel,et al. The Four-Color Problem , 1978 .
[32] W. Hodges. Elementary Predicate Logic , 1983 .
[33] Peter J. Stuckey,et al. Programming with Constraints: An Introduction , 1998 .
[34] Michael Beeson. Computerizing mathematics: logic and computation , 1988 .
[35] Dag Prawitz,et al. A Mechanical Proof Procedure and its Realization in an Electronic Computer , 1960, JACM.
[36] Amy P. Felty,et al. The Coq proof assistant user's guide : version 5.6 , 1990 .
[37] Michael J. Maher,et al. Unification Revisited , 1988, Foundations of Deductive Databases and Logic Programming..
[38] H. Gelernter,et al. Realization of a geometry theorem proving machine , 1995, IFIP Congress.
[39] A. Mostowski. Review: B. A. Trahtenbrot, Impossibility of an Algorithm for the Decision Problem in Finite Classes , 1950, Journal of Symbolic Logic.
[40] Jean-Yves Girard. From foundations to ludics , 2003, Bull. Symb. Log..
[41] Hubert Comon-Lundh,et al. Unification et disunification : théorie et applications , 1988 .
[42] C. W. H. Lam. Opinion: How Reliable Is a Computer-Based Proof? , 1990 .
[43] W. W. Bledsoe,et al. Some Thoughts on Proof Discovery , 1986, SLP.
[44] John Etchemendy,et al. Tarski on truth and logical consequence , 1988, Journal of Symbolic Logic.
[45] David A. Plaisted,et al. Problem Solving by Searching for Models with a Theorem Prover , 1994, Artif. Intell..
[46] Graham Wrightson,et al. Automation of Reasoning , 1983 .
[47] Michaël Rusinowitch,et al. Proving refutational completeness of theorem-proving strategies: the transfinite semantic tree method , 1991, JACM.
[48] Stig Kanger,et al. Logical Theory and Semantic Analysis: Essays Dedicated to Stig Kanger on His Fiftieth Birthday , 1975 .
[49] P. Campbell. How to Solve It: A New Aspect of Mathematical Method , 2005 .
[50] Eliezer L. Lozinskii,et al. The Good Old Davis-Putnam Procedure Helps Counting Models , 2011, J. Artif. Intell. Res..
[51] Christian G. Fermüller,et al. Hyperresolution and Automated Model Building , 1996, J. Log. Comput..
[52] Thierry Coquand,et al. The Calculus of Constructions , 1988, Inf. Comput..
[53] C. Smorynski. Logical Number Theory I , 1991 .
[54] John Alan Robinson. Proof = Guarantee + Explanation , 2000, Intellectics and Computational Logic.
[55] François Bry,et al. Minimal Model Generation with Positive Unit Hyper-Resolution Tableaux , 1996, TABLEAUX.
[56] C. Lam. The Search for a Finite Projective Plane of Order 10 , 2005 .
[57] Richard Kaye,et al. Review of Craig Smoryński, Logical Number Theory I, an Introduction , 2000 .
[58] Miki Hermann,et al. On the Relation Between Primitive Recursion, Schematization and Divergence , 1992, ALP.
[59] M. Davis. A Computer Program for Presburger’s Algorithm , 1983 .
[60] Nicolas Peltier. System Description: An Equational Constraints Solver , 1998, CADE.
[61] Christian G. Fermüller,et al. Model Building by Resolution , 1992, CSL.
[62] Peter Baumgartner,et al. Hyper Tableaux , 1996, JELIA.
[63] Nicolas Peltier,et al. Pruning the Search Space and Extracting More Models in Tableaux , 1999, Log. J. IGPL.
[64] Robert Matzinger. Computational Representations of Herbrand Models Using Grammars , 1996, CSL.
[65] P. Kidwell,et al. The universal turing machine: a half-century survey , 1996, IEEE Annals of the History of Computing.
[66] Graham Wrightson,et al. An overview of automated reasoning and related fields , 2004, Journal of Automated Reasoning.
[67] Robert L. Constable,et al. Formal Theories and Software Systems: Fundamental Connections between Computer Science and Logic , 1992, 25th Anniversary of INRIA.
[68] Joë Metzger,et al. Pour la science , 1974 .
[69] Christian G. Fermüller,et al. Resolution Decision Procedures , 2001, Handbook of Automated Reasoning.
[70] Henk Barendregt,et al. The Lambda Calculus: Its Syntax and Semantics , 1985 .
[71] Christian G. Fermüller,et al. Resolution Methods for the Decision Problem , 1993, Lecture Notes in Computer Science.
[72] Nicolas PeltierLaboratory LEIBNIZ-IMAG. Combining Inference and Disinference Rules with Enumeration for Model Building (extended Abstract) , 1997 .
[73] Larry Wos,et al. Automated reasoning - 33 basic research problems , 1988 .
[74] Petr Hájek,et al. Mechanizing Hypothesis Formation , 1978 .
[75] Nicolas Peltier,et al. Tree Automata and Automated Model Building , 1997, Fundam. Informaticae.
[76] Donald W. Loveland,et al. Automated theorem proving: a quarter-century review , 1984 .
[77] R. Lathe. Phd by thesis , 1988, Nature.
[78] Hiroshi Fujita,et al. A Model Generation Theorem Prover in KL1 Using a Ramified -Stack Algorithm , 1991, International Conference on Logic Programming.
[79] Danny De Schreye,et al. On the Duality of Abduction and Model Generation in a Framework for Model Generation with Equality , 1994, Theor. Comput. Sci..
[80] John N. Hooker,et al. New methods for computing inferences in first order logic , 1993, Ann. Oper. Res..
[81] Nicolas Peltier,et al. On the decidability of the PVD class with equality , 2001, Log. J. IGPL.
[82] Jean-Marie Jacquet,et al. Introduction to Logic Programming , 1993, ICLP Workshop on Construction of Logic Programs.
[83] Lawrence C. Paulson,et al. The foundation of a generic theorem prover , 1989, Journal of Automated Reasoning.
[84] David A. Plaisted,et al. Ordered Semantic Hyper-Linking , 1997, Journal of Automated Reasoning.
[85] H. Rasiowa,et al. Logic at work : essays dedicated to the memory of Helena Rasiowa , 1999 .
[86] John N. Hooker,et al. Solving the incremental satisfiability problem , 1993, J. Log. Program..
[87] Harold T. Hodes,et al. The | lambda-Calculus. , 1988 .
[88] Hubert Comon-Lundh,et al. Equational Problems and Disunification , 1989, J. Symb. Comput..
[89] Tanel Tammet. Using Resolution for Deciding Solvable Classes and Building Finite Models , 1991, Baltic Computer Science.
[90] Ricardo Caferra,et al. Combining Enumeration and Deductive Techniques in order to Increase the Class of Constructible Infinite Models , 2000, J. Symb. Comput..
[91] David A. Plaisted,et al. Eliminating duplication with the hyper-linking strategy , 1992, Journal of Automated Reasoning.
[92] Ronald Fagin,et al. Probabilities on finite models , 1976, Journal of Symbolic Logic.
[93] S. C. Kleene,et al. Introduction to Metamathematics , 1952 .
[94] Sophie Tison,et al. Equality and Disequality Constraints on Direct Subterms in Tree Automata , 1992, STACS.
[95] Christoph Weidenbach,et al. Combining Superposition, Sorts and Splitting , 2001, Handbook of Automated Reasoning.
[96] Reinhard Pichler. Solving Equational Problems Efficiently , 1999, CADE.
[97] B. Dreben,et al. The decision problem: Solvable classes of quantificational formulas , 1979 .
[98] Grigore Rosu,et al. An Overview of the Tatami Project , 2000 .
[99] J. Rosen. Symmetry in Science , 1995 .
[100] D. Epstein,et al. Experimentation and proof in mathematics , 1995 .
[101] Robert G. Jeroslow,et al. Computation-oriented reductions of predicate to propositional logic , 1988, Decis. Support Syst..
[102] Jian Zhang. Problems on the Generation of Finite Models , 1994, CADE.
[103] Hubert Comon-Lundh. On unification of terms with integer exponents , 2005, Mathematical systems theory.
[104] Sergei G. Vorobyov. An Improved Lower Bound for the Elementary Theories of Trees , 1996, CADE.
[105] Ronald Fagin,et al. Monadic generalized spectra , 1975, Math. Log. Q..
[106] George Boolos,et al. Computability and logic , 1974 .
[107] Hubert Comon,et al. Disunification: A Survey. , 1991 .
[108] B. Buchberger,et al. Grobner Bases : An Algorithmic Method in Polynomial Ideal Theory , 1985 .
[109] Dag Prawitz,et al. An improved proof procedure1 , 2008 .
[110] Thierry Boy de la Tour. On the Complexity of Finite Sorted Algebras , 1998, FTP.
[111] Alexander Leitsch. Deciding Clause Classes by Semantic Clash Resolution , 1993, Fundam. Informaticae.
[112] Nicolas Peltier,et al. Two Problems in Geometry Solved by Using Automated ModelBuildersSt , .
[113] Rolf Herken,et al. The Universal Turing Machine: A Half-Century Survey , 1992 .
[114] Per Martin-Löf,et al. Truth of a proposition, evidence of a judgement, validity of a proof , 1987, Synthese.
[115] Roberto J. Bayardo,et al. Counting Models Using Connected Components , 2000, AAAI/IAAI.
[116] Hubert Comon-Lundh,et al. Equational Formulae with Membership Constraints , 1994, Inf. Comput..
[117] Chin-Liang Chang. Theorem proving with variable-constrained resolution , 1972, Inf. Sci..
[118] H. Gelernter,et al. A Note on Syntactic Symmetry and the Manipulation of Formal Systems by Machine , 1959, Inf. Control..
[119] Edmond Bauer,et al. La science moderne (de 1450 a 1800) , 1995 .
[120] Steven K. Winker. Generation and Verification of Finite Models and Counterexamples Using an Automated Theorem Prover Answering Two Open Questions , 1982, JACM.
[121] M. de Rijke,et al. Encoding Two-Valued Nonclassical Logics in Classical Logic , 2001, Handbook of Automated Reasoning.
[122] Arthur M. Bullock,et al. On generating the finitely satisfiable formulas , 1973, Notre Dame J. Formal Log..
[123] Shu-Kun Lin. Symmetry in Science: An Introduction to the General Theory , 1999, Entropy.
[124] Thomas Tymoczko. The Four-color Problem and Its Philosophical Significance , 1979 .
[125] Herbert B. Enderton,et al. A mathematical introduction to logic , 1972 .
[126] Donald W. Loveland,et al. Automated theorem proving: a logical basis , 1978, Fundamental studies in computer science.
[127] Reinhard Pichler. Algorithms on Atomic Representations of Herbrand Models , 1998, JELIA.
[128] Hong Chen,et al. On Finite Representations of Infinite Sequences of Terms , 1990, CTRS.
[129] M. Rose,et al. Application of model search to lattice theory. , 2001 .
[130] Jörg Flum,et al. Finite model theory , 1995, Perspectives in Mathematical Logic.
[131] James R. Slagle,et al. Automatic Theorem Proving With Renamable and Semantic Resolution , 1967, JACM.
[132] N. G. de Bruijn,et al. A plea for weaker frameworks , 1991 .
[133] Ricardo Caferra,et al. A Method for Simultanous Search for Refutations and Models by Equational Constraint Solving , 1992, J. Symb. Comput..
[134] Lawrence J. Henschen,et al. Unit Refutations and Horn Sets , 1974, JACM.
[135] Theodore Hailperin,et al. A Complete Set of Axioms for Logical Formulas Invalid in Some Finite Domain , 1961 .
[136] Hubert Comon-Lundh. Complete Axiomatizations of Some Quotient Term Algebras , 1991, ICALP.
[137] Lifeng He,et al. I-SATCHMO: An Improvement of SATCHMO , 2001, Journal of Automated Reasoning.
[138] Allen Newell,et al. Empirical explorations with the logic theory machine: a case study in heuristics , 1995 .
[139] Hong Chen,et al. Logic Programming with Recurrence Domains , 1991, ICALP.
[140] Donald E. Knuth,et al. Simple Word Problems in Universal Algebras††The work reported in this paper was supported in part by the U.S. Office of Naval Research. , 1970 .
[141] L. Wos,et al. Paramodulation and Theorem-Proving in First-Order Theories with Equality , 1983 .
[142] Pietro Torasso,et al. On the Relationship between Abduction and Deduction , 1991, J. Log. Comput..
[143] Ralph McKenzie. On Spectra, and the Negative Solution of the Decision Problem for Identities having a Finite Nontrivial Model , 1975, J. Symb. Log..
[144] Desmond Fearnley-Sander,et al. Universal Algebra , 1982 .
[145] P. Suppes. A comparison of the meaning and uses of models in mathematics and the empirical sciences , 1960, Synthese.
[146] Hantao Zhang,et al. SEM: a System for Enumerating Models , 1995, IJCAI.
[147] S. Yau. Mathematics and its applications , 2002 .
[148] Dan Roth,et al. On the Hardness of Approximate Reasoning , 1993, IJCAI.
[149] Wenhui Zhang,et al. Number of Models and Satisfiability of Sets of Clauses , 1996, Theor. Comput. Sci..
[150] Ronald Fagin,et al. Finite-Model Theory - A Personal Perspective , 1990, Theor. Comput. Sci..
[151] Yuri Gurevich,et al. The Classical Decision Problem , 1997, Perspectives in Mathematical Logic.
[152] Ronald Fagin,et al. A spectrum hierarchy , 1975, Math. Log. Q..
[153] Gernot Salzer,et al. The Unification of Infinite Sets of Terms and Its Applications , 1992, LPAR.
[154] William H. Joyner. Resolution Strategies as Decision Procedures , 1976, JACM.
[155] Yuri Gurevich,et al. Toward logic tailored for computational complexity , 1984 .
[156] W. Bledsoe,et al. Automated Theorem Proving: After 25 Years , 1984 .
[157] Gernot Salzer,et al. Primal Grammars and Unification Modulo a Binary Clause , 1994, CADE.
[158] Frieder Stolzenburg,et al. Loop-Detection in Hyper-Tableaux by Powerful Model Generation , 1999, J. Univers. Comput. Sci..
[159] Jan Łukasiewicz,et al. La syllogistique d'Aristote, « Philosophies pour l''ge de la science » , 1974 .
[160] Ricardo Caferra,et al. The Connection Method, Constraints and Model Building , 2000, Intellectics and Computational Logic.
[161] Graham Wrightson,et al. Automation of reasoning--classical papers on computational logic , 2012 .
[162] A. Dawar. FINITE MODEL THEORY (Perspectives in Mathematical Logic) , 1997 .
[163] Nicolas Peltier,et al. Nouvelles techniques pour la construction de modèles finis et infinis en déduction automatique , 1997 .
[164] Franz Baader,et al. Unification theory , 1986, Decis. Support Syst..
[165] George Boolos,et al. Trees and finite satisfiability: proof of a conjecture of Burgess , 1984, Notre Dame J. Formal Log..
[166] Ricardo Caferra,et al. Building Models by Using Tableaux Extended by Equational Problems , 1993 .
[167] Thierry Boy de la Tour. Some Techniques of Isomorph-Free Search , 2000, AISC.
[168] Chen C. Chang,et al. Model Theory: Third Edition (Dover Books On Mathematics) By C.C. Chang;H. Jerome Keisler;Mathematics , 1966 .
[169] Claude Kirchner,et al. Solving Equations in Abstract Algebras: A Rule-Based Survey of Unification , 1991, Computational Logic - Essays in Honor of Alan Robinson.
[170] François Bry,et al. SATCHMO: A Theorem Prover Implemented in Prolog , 1988, CADE.
[171] Melvin Fitting,et al. First-Order Logic and Automated Theorem Proving , 1990, Graduate Texts in Computer Science.
[172] E. L. Lusk,et al. Semigroups, antiautomorphisms, and involutions: a computer solution to an open problem. I , 1981 .
[173] Thierry Boy. Some Techniques of Isomorph-Free Search , 2000 .
[174] de Ng Dick Bruijn,et al. A survey of the project Automath , 1980 .
[175] Matthias Jarke,et al. Logic Programming and Databases , 1984, Expert Database Workshop.
[176] Rance Cleaveland,et al. Implementing mathematics with the Nuprl proof development system , 1986 .
[177] Paul C. Gilmore,et al. A Proof Method for Quantification Theory: Its Justification and Realization , 1960, IBM J. Res. Dev..
[178] William McCune,et al. Automated Deduction in Equational Logic and Cubic Curves , 1996, Lecture Notes in Computer Science.
[179] Ronald Fagin,et al. What is an Inference Rule , 1992 .
[180] Martin D. Davis,et al. The Early History of Automated Deduction , 2001, Handbook of Automated Reasoning.
[181] Ricardo Caferra,et al. A Generic Graphic Framework for Combining Inference Tools and Editing Proofs and Formulae , 1994, J. Symb. Comput..
[182] Alexander Leitsch,et al. The Resolution Calculus , 1997, Texts in Theoretical Computer Science An EATCS Series.
[183] E. T. Bell,et al. Men of Mathematics , 1937, Nature.
[184] Balakrishnan Krishnamurthy. Short proofs for tricky formulas , 2004, Acta Informatica.
[185] Arnon Avron,et al. Simple Consequence Relations , 1988, Inf. Comput..
[186] Elmar Eder,et al. Relative complexities of first order calculi , 1992, Artificial intelligence = Künstliche Intelligenz.
[187] David A. Plaisted,et al. Model Finding in Semantically Guided Instance-Based Theorem Proving , 1994, Fundam. Informaticae.
[188] Gordon Plotkin,et al. A Further Note on Inductive Generalization , 2008 .
[189] Dan Roth,et al. Reasoning with Models , 1994, Artif. Intell..
[190] Nicolas Peltier,et al. Simplifying and Generalizing Formulae in Tableaux. Pruning the Search Space and Building Models , 1997, TABLEAUX.
[191] Hubert Comon. Equational Formulas in Order-Sorted Algebras , 1990 .
[192] Jean Goubault-Larrecq,et al. Normal Form Transformations , 2001, Handbook of Automated Reasoning.
[193] Ricardo Caferra,et al. A New Technique for Verifying and Correcting Logic Programs , 1997, Journal of Automated Reasoning.
[194] M. Beeson. Foundations of Constructive Mathematics , 1985 .
[195] José Meseguer,et al. General Logics , 2006 .
[196] John K. Slaney. SCOTT: A Model-Guided Theorem Prover , 1993, IJCAI.
[197] Miki Hermann,et al. Unification of Infinite Sets of Terms Schematized by Primal Grammars , 1997, Theor. Comput. Sci..
[198] Thomas M. Rudlof. SHR Tableaux - A Framework for Automated Model Generation , 2001, J. Log. Comput..
[199] Nicolas Peltier. Increasing Model Building Capabilities by Constraint Solving on Terms with Integer Exponents , 1997, J. Symb. Comput..
[200] Steve Reeves,et al. Semantic tableaux as a framework for automated theorem-proving , 1987 .
[201] David A. Plaisted,et al. Semantically Guided First-Order Theorem Proving using Hyper-Linking , 1994, CADE.
[202] Alan Robinson,et al. Computational Logic - Essays in Honor of Alan Robinson , 1991, Computational Logic - Essays in Honor of Alan Robinson.
[203] Nicolas D. Goodman,et al. The knowing mathematician , 1984, Synthese.