Encoding Two-Valued Nonclassical Logics in Classical Logic
暂无分享,去创建一个
M. de Rijke | Dov M. Gabbay | Maarten de Rijke | Hans Jürgen Ohlbach | Andreas Nonnengart | D. Gabbay | Andreas Nonnengart | H. J. Ohlbach
[1] Maarten de Rijke,et al. Tree-based Heuristics in Modal Theorem Proving , 2000, ECAI.
[2] Steven K. Thomason. Reduction of Tense Logic to Modal Logic. I , 1974, J. Symb. Log..
[3] Larry Wos,et al. Experiments in Automated Deduction with Condensed Detachment , 1992, CADE.
[4] Ian Horrocks,et al. An Analysis of Empirical Testing for Modal Decision Procedures , 2000, Log. J. IGPL.
[5] Martin Otto,et al. Undecidability Results on Two-Variable Logics , 1997, STACS.
[6] Peter F. Patel-Schneider,et al. DLP System Description , 1998, Description Logics.
[7] Moshe Y. Vardi. Why is Modal Logic So Robustly Decidable? , 1996, Descriptive Complexity and Finite Models.
[8] M. Rabin. Decidability of second-order theories and automata on infinite trees. , 1969 .
[9] Hans Jürgen Ohlbach. Combining Hilbert Style and Semantic Reasoning in a Resolution Framework , 1998, CADE.
[10] Margus Veanes,et al. The two-variable guarded fragment with transitive relations , 1999, Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158).
[11] Alberto Policriti,et al. T-Theorem Proving I , 1995, J. Symb. Comput..
[12] M. de Rijke,et al. Expressiveness of Concept Expressions in First-Order Description Logics , 1999, Artif. Intell..
[13] D. Gabbay. An Irreflexivity Lemma with Applications to Axiomatizations of Conditions on Tense Frames , 1981 .
[14] J. Benthem. DYNAMIC BITS AND PIECES , 1997 .
[15] Christoph Walther,et al. A Many-Sorted Calculus Based on Resolution and Paramodulation , 1982, IJCAI.
[16] Reiner Hähnle,et al. Tableaux and Related Methods , 2001, Handbook of Automated Reasoning.
[17] Michael Mortimer,et al. On languages with two variables , 1975, Math. Log. Q..
[18] D. Gabbay. Expressive Functional Completeness in Tense Logic (Preliminary report) , 1981 .
[19] Christian G. Fermüller,et al. A non-elementary speed-up in proof length by structural clause form transformation , 1994, Proceedings Ninth Annual IEEE Symposium on Logic in Computer Science.
[20] Luis Fariñas del Cerro,et al. Linear Modal Deductions , 1988, CADE.
[21] Xiao-Shan Gao,et al. Automated Reasoning in Geometry , 2001, Handbook of Automated Reasoning.
[22] Richard E. Ladner,et al. The Computational Complexity of Provability in Systems of Modal Propositional Logic , 1977, SIAM J. Comput..
[23] D. Gabbay. Decidability results in non-classical logics: Part I , 1975 .
[24] K. Schütte. Untersuchungen zum Entscheidungsproblem der mathematischen Logik , 1934 .
[25] Herman Geuvers,et al. Proof-Assistants Using Dependent Type Systems , 2001, Handbook of Automated Reasoning.
[26] Dov M. Gabbay,et al. Temporal logic (vol. 1): mathematical foundations and computational aspects , 1994 .
[27] Peter Aczel,et al. Non-well-founded sets , 1988, CSLI lecture notes series.
[28] Reinhold Letz,et al. Model Elimination and Connection Tableau Procedures , 2001, Handbook of Automated Reasoning.
[29] Andreas Herzig. Raisonnement automatique en logique modale et algorithmes d'unification , 1989 .
[30] Christoph Weidenbach,et al. Optimised Functional Translation and Resolution , 1998 .
[31] Hans Jürgen Ohlbach,et al. A Resolution Calculus for Modal Logics , 1988, CADE.
[32] Renate A. Schmidt. E-Unification for Subsystems of S4 , 1998, RTA.
[33] Hans Jürgen Ohlbach,et al. Semantics-Based Translation Methods for Modal Logics , 1991, J. Log. Comput..
[34] Albert Rubio,et al. Paramodulation-Based Theorem Proving , 2001, Handbook of Automated Reasoning.
[35] Igor Walukiewicz,et al. On the Expressive Completeness of the Propositional mu-Calculus with Respect to Monadic Second Order Logic , 1996, CONCUR.
[36] Andreas Nonnengart,et al. Resolution-Based Calculi for Modal and Temporal Logics , 1996, CADE.
[37] Diego Calvanese,et al. Reasoning in Expressive Description Logics , 2001, Handbook of Automated Reasoning.
[38] M. de Rijke,et al. Description and/or hybrid logic , 2000 .
[39] Krister Segerberg,et al. An essay in classical modal logic , 1971 .
[40] Brian F. Chellas. Modal Logic: Normal systems of modal logic , 1980 .
[41] Arild Waaler,et al. Connections in Nonclassical Logics , 2001, Handbook of Automated Reasoning.
[42] Igor Walukiewicz,et al. Guarded fixed point logic , 1999, Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158).
[43] Andreas Nonnengart. First-order modal logic theorem proving and standard PROLOG , 1992 .
[44] Edmund M. Clarke,et al. Using Branching Time Temporal Logic to Synthesize Synchronization Skeletons , 1982, Sci. Comput. Program..
[45] Nils Klarlund,et al. Mona: Monadic Second-Order Logic in Practice , 1995, TACAS.
[46] Joseph Y. Halpern,et al. Decision procedures and expressiveness in the temporal logic of branching time , 1982, STOC '82.
[47] I. V. Ramakrishnan,et al. Term Indexing , 1995, Lecture Notes in Computer Science.
[48] Johan van Benthem,et al. Modal Deduction in Second-Order Logic and Set Theory - II , 1998, Stud Logica.
[49] Andrei Voronkov,et al. The Inverse Method , 2001, Handbook of Automated Reasoning.
[50] Marcus Kracht,et al. Normal monomodal logics can simulate all others , 1999, Journal of Symbolic Logic.
[51] Edmund M. Clarke,et al. Model Checking , 1999, Handbook of Automated Reasoning.
[52] William H. Joyner. Resolution Strategies as Decision Procedures , 1976, JACM.
[53] J.F.A.K. van Benthem,et al. Modal logic and classical logic , 1983 .
[54] Renate A. Schmidt,et al. Resolution is a Decision Procedure for Many Propositional Modal Logics , 1996, Advances in Modal Logic.
[55] Erich Grädel,et al. Two-variable logic with counting is decidable , 1997, Proceedings of Twelfth Annual IEEE Symposium on Logic in Computer Science.
[56] Ronald Fagin,et al. Reasoning about knowledge , 1995 .
[57] Harald Ganzinger,et al. A superposition decision procedure for the guarded fragment with equality , 1999, Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158).
[58] M. de Rijke. Extending modal logic , 1993 .
[59] Marta Cialdea Mayer,et al. A Polynomial Translation of S4 into T and Contraction-Free Tableaux for S4 , 1997, Log. J. IGPL.
[60] Christoph Weidenbach,et al. Combining Superposition, Sorts and Splitting , 2001, Handbook of Automated Reasoning.
[61] Lawrence Charles Paulson,et al. Isabelle: A Generic Theorem Prover , 1994 .
[62] Henrik Sahlqvist. Completeness and Correspondence in the First and Second Order Semantics for Modal Logic , 1975 .
[63] Erich Grädel,et al. On the Restraining Power of Guards , 1999, Journal of Symbolic Logic.
[64] R. Schmidt. Optimised modal translation and resolution , 1997 .
[65] Johan van Benthem,et al. Modal Languages and Bounded Fragments of Predicate Logic , 1998, J. Philos. Log..
[66] Nils Klarlund,et al. Automata based symbolic reasoning in hardware verification , 1998, FM-Trends 1998.
[67] Franz Baader,et al. Unification theory , 1986, Decis. Support Syst..
[68] L. Kalmár. Über die Erfüllbarkeit derjenigen Zählausdrücke, welche in der Normalform zwei benachbarte Allzeichen enthalten , 1933 .
[69] Harald Ganzinger,et al. Resolution Theorem Proving , 2001, Handbook of Automated Reasoning.
[70] Petr Hájek,et al. Metamathematics of First-Order Arithmetic , 1993, Perspectives in mathematical logic.
[71] Andrei Voronkov,et al. Equality Reasoning in Sequent-Based Calculi , 2001, Handbook of Automated Reasoning.
[72] Faron Moller,et al. On the expressive power of CTL , 1999, Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158).
[73] Jean Goubault-Larrecq,et al. Normal Form Transformations , 2001, Handbook of Automated Reasoning.
[74] Peter Graf,et al. Term Indexing , 1996, Lecture Notes in Computer Science.
[75] Dov M. Gabbay. On decidable, finitely axiomatizable, modal and tense logics without the finite model property Part II , 1971 .
[76] Ulrich Furbach,et al. Nonmonotonic Reasoning: Towards Efficient Calculi and Implementations , 2001, Handbook of Automated Reasoning.
[77] Alan Bundy,et al. The Automation of Proof by Mathematical Induction , 1999, Handbook of Automated Reasoning.
[78] Jerzy Tiuryn,et al. Dynamic logic , 2001, SIGA.
[79] J.F.A.K. van Benthem,et al. Modal Correspondence Theory , 1977 .
[80] Leon Henkin. Logical systems containing only a finite number of symbols , 1966 .
[81] Frank Pfenning,et al. Logical Frameworks , 2001, Handbook of Automated Reasoning.
[82] Michael J. Maher,et al. Solving Numerical Constraints , 2001, Handbook of Automated Reasoning.
[83] Ullrich Hustadt. Resolution based decision procedures for subclasses of first-order logic , 1999 .
[84] John Doner,et al. Tree Acceptors and Some of Their Applications , 1970, J. Comput. Syst. Sci..
[85] Peter B. Andrews. Classical Type Theory , 2001, Handbook of Automated Reasoning.
[86] Willard Van Orman Quine,et al. From a Logical Point of View , 1955 .
[87] D. Gabbay. Decidability results in non-classical logic. III , 1971 .
[88] Joseph Y. Halpern. The Effect of Bounding the Number of Primitive Propositions and the Depth of Nesting on the Complexity of Modal Logic , 1995, Artif. Intell..
[89] Christian G. Fermüller,et al. Resolution Decision Procedures , 2001, Handbook of Automated Reasoning.
[90] Christian G. Fermüller,et al. Resolution Methods for the Decision Problem , 1993, Lecture Notes in Computer Science.
[91] M. de Rijke,et al. Bisimulations for Temporal Logic , 1997, J. Log. Lang. Inf..
[92] Patrice Enjalbert,et al. Modal Theorem Proving: An Equational Viewpoint , 1989, IJCAI.
[93] Stéphane Demri,et al. An O ((n·log n)3)-Time Transformation from Grz into Decidable Fragments of Classical First-Order Logic , 1998, FTP.
[94] M. de Rijke,et al. Modal Logic , 2001, Cambridge Tracts in Theoretical Computer Science.
[95] Gilles Dowek,et al. Higher-Order Unification and Matching , 2001, Handbook of Automated Reasoning.
[96] M. de Rijke,et al. Description and/or Hybrid Logics , 2000 .
[97] Johan van Benthem,et al. Modal Deduction in Second-Order Logic and Set Theory - I , 1997, J. Log. Comput..
[98] Renate A. Schmidt,et al. Functional Translation and Second-Order Frame Properties of Modal Logics , 1997, J. Log. Comput..
[99] Andreas Nonnengart,et al. First-Order Modal Logic Theorem Proving and Functional Simulation , 1993, IJCAI.
[100] Christoph Weidenbach,et al. Computing Small Clause Normal Forms , 2001, Handbook of Automated Reasoning.
[101] Christian G. Fermüller,et al. Automated Deduction for Many-Valued Logics , 2001, Handbook of Automated Reasoning.
[102] Graham Wrightson,et al. Solving a Problem in Relevance Logic with an Automated Theorem Prover , 1984, CADE.
[103] Martin D. Davis,et al. The Early History of Automated Deduction , 2001, Handbook of Automated Reasoning.
[104] Eric Rosen,et al. Modal Logic over Finite Structures , 1997, J. Log. Lang. Inf..
[105] Hans de Nivelle,et al. A Resolution Decision Procedure for the Guarded Fragment , 1998, CADE.
[106] Andreas Nonnengart. A resolution-based calculus for temporal logics , 1995 .