메뉴 건너뛰기




Volumn 4545 LNCS, Issue , 2007, Pages 334-349

A short survey of automated reasoning

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; CASE BASED REASONING; ENGINEERING RESEARCH;

EID: 38149069047     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-73433-8_24     Document Type: Conference Paper
Times cited : (8)

References (111)
  • 7
    • 33750110801 scopus 로고
    • Semantic entailment and formal derivability. Mededelingen der Koninklijke Nederlandse Akademie van Wetenschappen
    • Beth, E.W.: Semantic entailment and formal derivability. Mededelingen der Koninklijke Nederlandse Akademie van Wetenschappen, new series 18, 309-342 (1955)
    • (1955) new series , vol.18 , pp. 309-342
    • Beth, E.W.1
  • 9
    • 38149091923 scopus 로고
    • VLSI Specification, Verification and Synthesis
    • Birtwistle, G, Subrahmanyam, P.A, eds, Kluwer, Dordrecht
    • Birtwistle, G., Subrahmanyam, P.A. (eds.): VLSI Specification, Verification and Synthesis. International Series in Engineering and Computer Science, vol. 35. Kluwer, Dordrecht (1988)
    • (1988) International Series in Engineering and Computer Science , vol.35
  • 10
    • 0002776274 scopus 로고
    • Some automatic proofs in analysis
    • Bledsoe, W.W, Loveland, D.W, eds, Automated Theorem Proving: After 25 Years, American Mathematical Society
    • Bledsoe, W.W.: Some automatic proofs in analysis. In: Bledsoe, W.W., Loveland, D.W. (eds.) Automated Theorem Proving: After 25 Years, Contemporary Mathematics, vol. 29, pp. 89-118. American Mathematical Society (1984)
    • (1984) Contemporary Mathematics , vol.29 , pp. 89-118
    • Bledsoe, W.W.1
  • 13
  • 14
    • 0022769976 scopus 로고
    • Graph-based algorithms for Boolean function manipulation
    • Bryant, R.E.: Graph-based algorithms for Boolean function manipulation. IEEE Transactions on Computers C-35, 677-691 (1986)
    • (1986) IEEE Transactions on Computers , vol.C-35 , pp. 677-691
    • Bryant, R.E.1
  • 15
    • 11744362116 scopus 로고
    • A method for hardware verification based on logic simulation
    • Bryant, R.E.: A method for hardware verification based on logic simulation. Journal of the ACM 38, 299-328 (1991)
    • (1991) Journal of the ACM , vol.38 , pp. 299-328
    • Bryant, R.E.1
  • 16
    • 38149071792 scopus 로고    scopus 로고
    • Buchberger, B.: Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal. PhD thesis, Mathematisches Institut der Universität Innsbruck, 1965. English translation to appear in Journal of Symbolic Computation (2006)
    • Buchberger, B.: Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal. PhD thesis, Mathematisches Institut der Universität Innsbruck, 1965. English translation to appear in Journal of Symbolic Computation (2006)
  • 17
    • 33646925446 scopus 로고    scopus 로고
    • Buchberger, B.: Ein algorithmisches Kriterium fur die Lösbarkeit eines algebraischen Gleichungssystems. Aequationes Mathematicae, 4, 374-383, 1970, English translation An Algorithmical Criterion for the Solvability of Algebraic Systems of Equations in [18] pp. 535-545 (1970)
    • Buchberger, B.: Ein algorithmisches Kriterium fur die Lösbarkeit eines algebraischen Gleichungssystems. Aequationes Mathematicae, vol. 4, 374-383, 1970, English translation An Algorithmical Criterion for the Solvability of Algebraic Systems of Equations in [18] pp. 535-545 (1970)
  • 18
    • 38149012373 scopus 로고    scopus 로고
    • Buchberger, B., Winkler, R (eds.): Gröbner Bases and Applications. London Mathematical Society Lecture Note Series, 251. Cambridge University Press, Cambridge (1998)
    • Buchberger, B., Winkler, R (eds.): Gröbner Bases and Applications. London Mathematical Society Lecture Note Series, vol. 251. Cambridge University Press, Cambridge (1998)
  • 20
    • 0009699402 scopus 로고
    • A science of reasoning
    • Lassez, J.-L, Plotkin, G, eds, Robinson, pp, MIT Press, Cambridge
    • Bundy, A.: A science of reasoning. In: Lassez, J.-L., Plotkin, G. (eds.) Computational Logic: Essays in Honor of Alan Robinson, pp. 178-198. MIT Press, Cambridge (1991)
    • (1991) Computational Logic: Essays in Honor of Alan , pp. 178-198
    • Bundy, A.1
  • 22
    • 0013325634 scopus 로고
    • An introduction to Wu's method for mechanical theorem proving in geometry
    • Chou, S.-C.: An introduction to Wu's method for mechanical theorem proving in geometry. Journal of Automated Reasoning 4, 237-267 (1988)
    • (1988) Journal of Automated Reasoning , vol.4 , pp. 237-267
    • Chou, S.-C.1
  • 23
    • 0000954072 scopus 로고
    • An unsolvable problem of elementary number-theory
    • Church, A.: An unsolvable problem of elementary number-theory. American Journal of Mathematics 58, 345-363 (1936)
    • (1936) American Journal of Mathematics , vol.58 , pp. 345-363
    • Church, A.1
  • 24
    • 85037030721 scopus 로고
    • Design and synthesis of synchronization skeletons using branching-time temporal logic
    • Kozen, D, ed, Logics of Programs, Springer, Heidelberg
    • Clarke, E.M., Emerson, E.A.: Design and synthesis of synchronization skeletons using branching-time temporal logic. In: Kozen, D. (ed.) Logics of Programs. LNCS, vol. 131, pp. 52-71. Springer, Heidelberg (1981)
    • (1981) LNCS , vol.131 , pp. 52-71
    • Clarke, E.M.1    Emerson, E.A.2
  • 26
    • 0005031024 scopus 로고    scopus 로고
    • A proof of correctness of the VIPER microprocessor: The first level
    • Cohn, A.: A proof of correctness of the VIPER microprocessor: The first level. In: Birtwistle and Subrahmanyam [9], pp. 27-71
    • Birtwistle and Subrahmanyam , vol.9 , pp. 27-71
    • Cohn, A.1
  • 27
    • 2342496727 scopus 로고
    • Well... it isn't quite that simple
    • Corless, R.M., Jeffrey, D.J.: Well... it isn't quite that simple. SIGSAM Bulletin 26(3), 2-6 (1992)
    • (1992) SIGSAM Bulletin , vol.26 , Issue.3 , pp. 2-6
    • Corless, R.M.1    Jeffrey, D.J.2
  • 29
    • 38149038826 scopus 로고    scopus 로고
    • Davis, M.: A computer program for Presburger's algorithm. In: Summaries of talks presented at the Summer Institute for Symbolic Logic, Cornell University, pp. 215-233. Institute for Defense Analyses, Princeton, NJ, Reprinted in [94], pp. 41-48 (1957)
    • Davis, M.: A computer program for Presburger's algorithm. In: Summaries of talks presented at the Summer Institute for Symbolic Logic, Cornell University, pp. 215-233. Institute for Defense Analyses, Princeton, NJ, Reprinted in [94], pp. 41-48 (1957)
  • 31
    • 84881072062 scopus 로고
    • A computing procedure for quantification theory
    • Davis, M., Putnam, H.: A computing procedure for quantification theory. Journal of the ACM 7, 201-215 (1960)
    • (1960) Journal of the ACM , vol.7 , pp. 201-215
    • Davis, M.1    Putnam, H.2
  • 33
    • 38149069104 scopus 로고    scopus 로고
    • de Bruijn, N.G.: A survey of the project AUTOMATH. In: Seidin, J.P., Hindley, J.R. (eds.) To H. B. Curry: Essays in Combinatory Logic, Lambda Calculus, and Formalism, pp. 589-606. Academic Press, San Diego (1980)
    • de Bruijn, N.G.: A survey of the project AUTOMATH. In: Seidin, J.P., Hindley, J.R. (eds.) To H. B. Curry: Essays in Combinatory Logic, Lambda Calculus, and Formalism, pp. 589-606. Academic Press, San Diego (1980)
  • 35
    • 38149042834 scopus 로고    scopus 로고
    • Dijkstra, E.W.: Formal techniques and sizeable programs (EWD563), In: Dijkstra, E.W. (ed.) Selected Writings on Computing: A Personal Perspective Paper prepared for Symposium on the Mathematical Foundations of Computing Science, Gdansk, pp. 205-214. Springer, Heidelberg (1976)
    • Dijkstra, E.W.: Formal techniques and sizeable programs (EWD563), In: Dijkstra, E.W. (ed.) Selected Writings on Computing: A Personal Perspective Paper prepared for Symposium on the Mathematical Foundations of Computing Science, Gdansk, pp. 205-214. Springer, Heidelberg (1976)
  • 36
    • 0004242550 scopus 로고
    • Feigenbaum, E.A, Feldman, J, eds, AAAI Press, MIT Press
    • Feigenbaum, E.A., Feldman, J. (eds.): Computers & Thought. AAAI Press / MIT Press (1995)
    • (1995) Computers & Thought
  • 37
    • 38149009017 scopus 로고    scopus 로고
    • Franzén, T.: Gödel's Theorem. An Incomplete Guide to its Use and Abuse. A. K. Peters (2005)
    • Franzén, T.: Gödel's Theorem. An Incomplete Guide to its Use and Abuse. A. K. Peters (2005)
  • 38
    • 38149014844 scopus 로고    scopus 로고
    • Gelerntner, H.: Realization of a geometry-theorem proving machine. In: Proceedings of the International Conference on Information Processing, UNESCO House, pp. 273-282, 1959 Also appears in [94], pp. 99-117 and in [36], pp. 134-152 (1959)
    • Gelerntner, H.: Realization of a geometry-theorem proving machine. In: Proceedings of the International Conference on Information Processing, UNESCO House, pp. 273-282, 1959 Also appears in [94], pp. 99-117 and in [36], pp. 134-152 (1959)
  • 39
    • 0042156738 scopus 로고
    • A proof method for quantification theory: Its justification and realization
    • Gilmore, P.C.: A proof method for quantification theory: Its justification and realization. IBM Journal of research and development 4, 28-35 (1960)
    • (1960) IBM Journal of research and development , vol.4 , pp. 28-35
    • Gilmore, P.C.1
  • 40
    • 34347193348 scopus 로고    scopus 로고
    • Gödel, K.: Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme, I. Monatshefte für Mathematik und Physik, 38, 173-198, English translation, On Formally Undecidable Propositions of Principia Mathematica and Related Systems, I In: [52], pp. 592-618 or [30], pp. 4-38 (1931)
    • Gödel, K.: Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme, I. Monatshefte für Mathematik und Physik, vol. 38, 173-198, English translation, On Formally Undecidable Propositions of Principia Mathematica and Related Systems, I In: [52], pp. 592-618 or [30], pp. 4-38 (1931)
  • 41
    • 84893808653 scopus 로고    scopus 로고
    • BerkMin: A fast and robust Sat-solver
    • Kloos, C.D, Franca, J.D, eds, Paris, France, pp, IEEE Computer Society Press, Los Alamitos
    • Goldberg, E., Novikov, Y.: BerkMin: a fast and robust Sat-solver. In: Kloos, C.D., Franca, J.D. (eds.) Design, Automation and Test in Europe Conference and Exhibition (DATE 2002), Paris, France, pp. 142-149. IEEE Computer Society Press, Los Alamitos (2002)
    • (2002) Design, Automation and Test in Europe Conference and Exhibition (DATE , pp. 142-149
    • Goldberg, E.1    Novikov, Y.2
  • 43
    • 38149132544 scopus 로고    scopus 로고
    • Gordon, M.J.C., Milner, R., Wadsworth, C.P.: Edinburgh LCF. LNCS, 78. Springer, Heidelberg (1979)
    • Gordon, M.J.C., Milner, R., Wadsworth, C.P.: Edinburgh LCF. LNCS, vol. 78. Springer, Heidelberg (1979)
  • 47
    • 0003624420 scopus 로고    scopus 로고
    • Available at
    • Hales, T.C.: The Kepler conjecture (1998), Available at http://front.math.ucdavis.edu/math.MG/9811078
    • (1998) The Kepler conjecture
    • Hales, T.C.1
  • 48
    • 84958964101 scopus 로고    scopus 로고
    • Proof style
    • Giménez, E, Paulin-Mohring, C, eds, TYPES 1996, Springer, Heidelberg
    • Harrison, J.: Proof style. In: Giménez, E., Paulin-Mohring, C. (eds.) TYPES 1996. LNCS, vol. 1512, pp. 154-172. Springer, Heidelberg (1998)
    • (1998) LNCS , vol.1512 , pp. 154-172
    • Harrison, J.1
  • 49
    • 33745934660 scopus 로고    scopus 로고
    • Harrison, J.: Floating-point verification using theorem proving. In: Bernardo, M., Cimatti, A. (eds.) SFM 2006. LNCS, 3965, pp. 211-242. Springer, Heidelberg (2006)
    • Harrison, J.: Floating-point verification using theorem proving. In: Bernardo, M., Cimatti, A. (eds.) SFM 2006. LNCS, vol. 3965, pp. 211-242. Springer, Heidelberg (2006)
  • 50
    • 0032296538 scopus 로고    scopus 로고
    • A sceptic's approach to combining HOL and Maple
    • Harrison, J., Théry, L.: A sceptic's approach to combining HOL and Maple. Journal of Automated Reasoning 21, 279-294 (1998)
    • (1998) Journal of Automated Reasoning , vol.21 , pp. 279-294
    • Harrison, J.1    Théry, L.2
  • 51
    • 38149033019 scopus 로고    scopus 로고
    • Heawood, P.J.: Map-colour theorem. Quarterly Journal of Pure and Applied Mathematics Reprinted in [8] 24, 332-338 (1890)
    • Heawood, P.J.: Map-colour theorem. Quarterly Journal of Pure and Applied Mathematics Reprinted in [8] 24, 332-338 (1890)
  • 53
    • 34250963991 scopus 로고
    • Die logischen Grundlagen der Mathematik
    • Hubert, D.: Die logischen Grundlagen der Mathematik. Mathematische Annalen 88, 151-165 (1922)
    • (1922) Mathematische Annalen , vol.88 , pp. 151-165
    • Hubert, D.1
  • 56
    • 0002646616 scopus 로고
    • A complete proof of correctness of the Knuth-Bendix completion procedure
    • Huet, G.: A complete proof of correctness of the Knuth-Bendix completion procedure. Journal of Computer and System Sciences 23, 11-21 (1981)
    • (1981) Journal of Computer and System Sciences , vol.23 , pp. 11-21
    • Huet, G.1
  • 57
    • 38149140990 scopus 로고    scopus 로고
    • Hunt, W.A.: A Verified Micrprocessor. PhD thesis, University of Texas, 1985. In: Hunt Jr., W.A. (ed.) FM8501: A Verified Microprocessor. LNCS, 795, Springer, Heidelberg (1994)
    • Hunt, W.A.: A Verified Micrprocessor. PhD thesis, University of Texas, 1985. In: Hunt Jr., W.A. (ed.) FM8501: A Verified Microprocessor. LNCS, vol. 795, Springer, Heidelberg (1994)
  • 58
    • 84957798748 scopus 로고    scopus 로고
    • Hurd, J.: Integrating Gandalf and HOL. In: Bertot, Y., Dowek, G., Hirschowitz, A., Paulin, C., Théry, L. (eds.) TPHOLs 1999. LNCS, 1690, pp. 311-321. Springer, Heidelberg (1999)
    • Hurd, J.: Integrating Gandalf and HOL. In: Bertot, Y., Dowek, G., Hirschowitz, A., Paulin, C., Théry, L. (eds.) TPHOLs 1999. LNCS, vol. 1690, pp. 311-321. Springer, Heidelberg (1999)
  • 59
    • 38149035290 scopus 로고    scopus 로고
    • Formal verification and implementation of a microprocessor
    • Joyce, J.J.: Formal verification and implementation of a microprocessor. In: Birtwistle and Subrahmanyam [9], pp. 129-158
    • Birtwistle and Subrahmanyam , vol.9 , pp. 129-158
    • Joyce, J.J.1
  • 60
    • 0348002588 scopus 로고
    • An ideal-theoretic approach to word problems and unification problems over finitely presented commutative algebras
    • Jouannaud, J.-P, ed, Rewriting Techniques and Applications, Springer, Heidelberg
    • Kandri-Rody, A., Kapur, D., Narendran, P.: An ideal-theoretic approach to word problems and unification problems over finitely presented commutative algebras. In: Jouannaud, J.-P. (ed.) Rewriting Techniques and Applications. LNCS, vol. 202, pp. 345-364. Springer, Heidelberg (1985)
    • (1985) LNCS , vol.202 , pp. 345-364
    • Kandri-Rody, A.1    Kapur, D.2    Narendran, P.3
  • 61
    • 0342912659 scopus 로고    scopus 로고
    • Automated geometric reasoning: Dixon resultants, Gröbner bases, and characteristic sets
    • Wang, D, ed, Automated Deduction in Geometry, Springer, Heidelberg
    • Kapur, D.: Automated geometric reasoning: Dixon resultants, Gröbner bases, and characteristic sets. In: Wang, D. (ed.) Automated Deduction in Geometry. LNCS, vol. 1360, Springer, Heidelberg (1998)
    • (1998) LNCS , vol.1360
    • Kapur, D.1
  • 62
    • 38149016375 scopus 로고    scopus 로고
    • Kempe, A.B.: On the geographical problem of the four colours. American Journal of Mathematics Reprinted in [8] 2, 193-200 (1879)
    • Kempe, A.B.: On the geographical problem of the four colours. American Journal of Mathematics Reprinted in [8] 2, 193-200 (1879)
  • 63
    • 25444439752 scopus 로고
    • Leech, J, ed, Computational Problems in Abstract Algebra, Pergamon Press, New York
    • Knuth, D., Bendix, P.: Simple word problems in universal algebras. In: Leech, J. (ed.) Computational Problems in Abstract Algebra, Pergamon Press, New York (1970)
    • (1970) Simple word problems in universal algebras
    • Knuth, D.1    Bendix, P.2
  • 64
    • 0008267175 scopus 로고
    • Linear resolution with selection function
    • Kowalski, R.A., Kuehner, D.: Linear resolution with selection function. Artificial Intelligence 2, 227-260 (1971)
    • (1971) Artificial Intelligence , vol.2 , pp. 227-260
    • Kowalski, R.A.1    Kuehner, D.2
  • 65
    • 84977259221 scopus 로고    scopus 로고
    • Kreisel, G.: Hilbert's programme. Dialectica Revised version in [6] 12, 346-372 (1958)
    • Kreisel, G.: Hilbert's programme. Dialectica Revised version in [6] 12, 346-372 (1958)
  • 66
    • 0012865166 scopus 로고
    • How reliable is a computer-based proof?
    • Lam, C.W.H.: How reliable is a computer-based proof? The Mathematical Intelligencer 12, 8-12 (1990)
    • (1990) The Mathematical Intelligencer , vol.12 , pp. 8-12
    • Lam, C.W.H.1
  • 67
    • 0040702054 scopus 로고
    • Symposium on Automatic Demonstration
    • Laudet, M, Lacombe, D, Nolin, L, Schützenberger, M, eds, Springer, Heidelberg
    • Laudet, M., Lacombe, D., Nolin, L., Schützenberger, M. (eds.): Symposium on Automatic Demonstration. Lecture Notes in Mathematics, vol. 125. Springer, Heidelberg (1970)
    • (1970) Lecture Notes in Mathematics , vol.125
  • 69
    • 0009150012 scopus 로고
    • Edited by Bela Bollobas. Cambridge University Press, Cambridge
    • Littlewood, J.E.: Littlewood's Miscellany Edited by Bela Bollobas. Cambridge University Press, Cambridge (1986)
    • (1986) Littlewood's Miscellany
    • Littlewood, J.E.1
  • 70
    • 84945709685 scopus 로고
    • Mechanical theorem-proving by model elimination
    • Loveland, D.W.: Mechanical theorem-proving by model elimination. Journal of the ACM 15, 236-251 (1968)
    • (1968) Journal of the ACM , vol.15 , pp. 236-251
    • Loveland, D.W.1
  • 76
    • 0031378630 scopus 로고    scopus 로고
    • Solution of the Robbins problem
    • McCune, W.: Solution of the Robbins problem. Journal of Automated Reasoning 19, 263-276 (1997)
    • (1997) Journal of Automated Reasoning , vol.19 , pp. 263-276
    • McCune, W.1
  • 77
    • 0003267309 scopus 로고    scopus 로고
    • Automated Deduction in Equational Logic and Cubic Curves
    • Springer, Heidelberg
    • McCune, W., Padmanabhan, R.: Automated Deduction in Equational Logic and Cubic Curves. LNCS, vol. 1095. Springer, Heidelberg (1996)
    • (1996) LNCS , vol.1095
    • McCune, W.1    Padmanabhan, R.2
  • 82
    • 38149053077 scopus 로고    scopus 로고
    • O'Leary, J., Zhao, X., Gerth, R., Seger, C-J.H.: Formally verifying IEEE compliance of floating-point hardware. Intel Technology Journal, 1999-Q1, 1-14 (1999), Available on the Web as http://developer.intel.com/technology/itj/ q11999/articles/art.5.htm
    • O'Leary, J., Zhao, X., Gerth, R., Seger, C-J.H.: Formally verifying IEEE compliance of floating-point hardware. Intel Technology Journal, 1999-Q1, 1-14 (1999), Available on the Web as http://developer.intel.com/technology/itj/ q11999/articles/art.5.htm
  • 83
    • 84957646690 scopus 로고
    • Anatomy of the Pentium bug
    • Mosses, P.D, Schwartzbach, M.I, Nielsen, M, eds, CAAP 1995, FASE 1995, and TAPSOFT 1995, Springer, Heidelberg
    • Pratt, V.R.: Anatomy of the Pentium bug. In: Mosses, P.D., Schwartzbach, M.I., Nielsen, M. (eds.) CAAP 1995, FASE 1995, and TAPSOFT 1995. LNCS, vol. 915, pp. 97-107. Springer, Heidelberg (1995)
    • (1995) LNCS , vol.915 , pp. 97-107
    • Pratt, V.R.1
  • 84
    • 0039950622 scopus 로고
    • A mechanical proof procedure and its realization in an electronic computer
    • Prawitz, D., Prawitz, H., Voghera, N.: A mechanical proof procedure and its realization in an electronic computer. Journal of the ACM 7, 102-128 (1960)
    • (1960) Journal of the ACM , vol.7 , pp. 102-128
    • Prawitz, D.1    Prawitz, H.2    Voghera, N.3
  • 85
    • 38149044323 scopus 로고    scopus 로고
    • Presburger, M.: Über die Vollständigkeit eines gewissen Systems der Arithmetik ganzer Zahlen, in welchem die Addition als einzige Operation hervortritt. In: Sprawozdanie z I Kongresu metematyków slowiańskich, Warszawa 1929, pp. 92-101, 395. Warsaw, 1930. Annotated English version by [101] (1929)
    • Presburger, M.: Über die Vollständigkeit eines gewissen Systems der Arithmetik ganzer Zahlen, in welchem die Addition als einzige Operation hervortritt. In: Sprawozdanie z I Kongresu metematyków slowiańskich, Warszawa 1929, pp. 92-101, 395. Warsaw, 1930. Annotated English version by [101] (1929)
  • 86
    • 0001439560 scopus 로고
    • Specification and verification of concurrent programs in CESAR
    • Dezani-Ciancaglini, M, Montanari, U, eds, International Symposium on Programming, Springer, Heidelberg
    • Queille, J.P., Sifakis, J.: Specification and verification of concurrent programs in CESAR. In: Dezani-Ciancaglini, M., Montanari, U. (eds.) International Symposium on Programming. LNCS, vol. 137, pp. 195-220. Springer, Heidelberg (1982)
    • (1982) LNCS , vol.137 , pp. 195-220
    • Queille, J.P.1    Sifakis, J.2
  • 88
    • 84918983692 scopus 로고
    • A machine-oriented logic based on the resolution principle
    • Robinson, J.A.: A machine-oriented logic based on the resolution principle. Journal of the ACM 12, 23-41 (1965)
    • (1965) Journal of the ACM , vol.12 , pp. 23-41
    • Robinson, J.A.1
  • 89
    • 38149000967 scopus 로고    scopus 로고
    • Geometry Theorem Proving in the Frame of Theorema Project. PhD thesis, RISC-Linz
    • Robu, J.: Geometry Theorem Proving in the Frame of Theorema Project. PhD thesis, RISC-Linz (2002)
    • (2002)
    • Robu, J.1
  • 90
    • 0001582662 scopus 로고    scopus 로고
    • A mechanically checked proof of IEEE compliance of a register-transfer-level specification of the AMD-K7 floating-point multiplication, division, and square root instructions
    • Available on the Web at
    • Rusinoff, D.: A mechanically checked proof of IEEE compliance of a register-transfer-level specification of the AMD-K7 floating-point multiplication, division, and square root instructions. LMS Journal of Computation and Mathematics 1, 148-200 (1998), Available on the Web at http://www.onr.com/user/russ/david/k7-div-sqrt.html
    • (1998) LMS Journal of Computation and Mathematics , vol.1 , pp. 148-200
    • Rusinoff, D.1
  • 91
    • 0001510331 scopus 로고
    • Formal verification by symbolic evaluation of partially-ordered trajectories
    • Seger, C.-J.H., Bryant, R.E.: Formal verification by symbolic evaluation of partially-ordered trajectories. Formal Methods in System Design 6, 147-189 (1995)
    • (1995) Formal Methods in System Design , vol.6 , pp. 147-189
    • Seger, C.-J.H.1    Bryant, R.E.2
  • 92
    • 84948975180 scopus 로고    scopus 로고
    • A tutorial on Stålmarck's proof procedure for propositional logic
    • Gopalakrishnan, G.C, Windley, P, eds, FMCAD 1998, Springer, Heidelberg
    • Sheeran, M., Stålmarck, G.: A tutorial on Stålmarck's proof procedure for propositional logic. In: Gopalakrishnan, G.C., Windley, P. (eds.) FMCAD 1998. LNCS, vol. 1522, pp. 82-99. Springer, Heidelberg (1998)
    • (1998) LNCS , vol.1522 , pp. 82-99
    • Sheeran, M.1    Stålmarck, G.2
  • 93
    • 0021125949 scopus 로고
    • Deciding combinations of theories
    • Shostak, R.: Deciding combinations of theories. Journal of the ACM 31, 1-12 (1984)
    • (1984) Journal of the ACM , vol.31 , pp. 1-12
    • Shostak, R.1
  • 95
    • 84972579080 scopus 로고
    • The solution of a decision problem for several classes of rings
    • Simmons, H.: The solution of a decision problem for several classes of rings. Pacific Journal of Mathematics 34, 547-557 (1970)
    • (1970) Pacific Journal of Mathematics , vol.34 , pp. 547-557
    • Simmons, H.1
  • 96
    • 0000920466 scopus 로고
    • Partial realizations of Hilbert's program
    • Simpson, S.: Partial realizations of Hilbert's program. Journal of Symbolic Logic 53, 349-363 (1988)
    • (1988) Journal of Symbolic Logic , vol.53 , pp. 349-363
    • Simpson, S.1
  • 97
    • 84913500675 scopus 로고
    • Automatic theorem proving with renamable and semantic resolution
    • Slagle, J.R.: Automatic theorem proving with renamable and semantic resolution. Journal of the ACM 14, 687-697 (1967)
    • (1967) Journal of the ACM , vol.14 , pp. 687-697
    • Slagle, J.R.1
  • 98
    • 3643072038 scopus 로고
    • Gödel's Incompleteness Theorems
    • Oxford University Press, Oxford
    • Smullyan, R.M.: Gödel's Incompleteness Theorems. Oxford Logic Guides, vol. 19. Oxford University Press, Oxford (1992)
    • (1992) Oxford Logic Guides , vol.19
    • Smullyan, R.M.1
  • 99
    • 38149140346 scopus 로고
    • Applying formal verification to the AAMP5 microprocessor: A case study in the industrial use of formal methods
    • Srivas, M.K., Miller, S.P.: Applying formal verification to the AAMP5 microprocessor: A case study in the industrial use of formal methods. Formal Methods in System Design 8, 31-36 (1993)
    • (1993) Formal Methods in System Design , vol.8 , pp. 31-36
    • Srivas, M.K.1    Miller, S.P.2
  • 100
    • 0001381792 scopus 로고
    • Modeling and verifying systems and software in propositional logic
    • Daniels, B.K, ed, UK, pp, Pergamon Press, New York
    • Stålmarck, G., Säflund, M.: Modeling and verifying systems and software in propositional logic. In: Daniels, B.K. (ed.) Safety of Computer Control Systems, 1990 (SAFECOMP '90), Gatwick, UK, pp. 31-36. Pergamon Press, New York (1990)
    • (1990) Safety of Computer Control Systems, 1990 (SAFECOMP '90), Gatwick , pp. 31-36
    • Stålmarck, G.1    Säflund, M.2
  • 101
    • 0009695880 scopus 로고
    • Presburger's article on integer arithmetic: Remarks and translation
    • TR84-639, Cornell University Computer Science Department
    • Stansifer, R.: Presburger's article on integer arithmetic: Remarks and translation. Technical Report CORNELLCS:TR84-639, Cornell University Computer Science Department (1984)
    • (1984) Technical Report CORNELLCS
    • Stansifer, R.1
  • 102
    • 38149113675 scopus 로고    scopus 로고
    • Suttner, C.B., Sutcliffe, G.: The TPTP problem library. Technical Report AR-95-03, Institut für Infomatik, TU München, Germany, Also available as TR 95/6 from Dept. Computer Science, James Cook University, Australia, and on the Web (1995)
    • Suttner, C.B., Sutcliffe, G.: The TPTP problem library. Technical Report AR-95-03, Institut für Infomatik, TU München, Germany, Also available as TR 95/6 from Dept. Computer Science, James Cook University, Australia, and on the Web (1995)
  • 103
    • 0003431753 scopus 로고
    • A Decision Method for Elementary Algebra and Geometry. University of California Press, 1951
    • prepared for publication by J. C. C. McKinsey. Reprinted in [21, pp. 24-84 1951
    • Tarski, A.: A Decision Method for Elementary Algebra and Geometry. University of California Press, 1951. Previous version published as a technical report by the RAND Corporation, 1948; prepared for publication by J. C. C. McKinsey. Reprinted in [21], pp. 24-84 (1951)
    • (1948) Previous version published as a technical report by the RAND Corporation
    • Tarski, A.1
  • 104
    • 84925915595 scopus 로고
    • The Mizar-QC/6000 logic information language
    • Association for Literary and Linguistic Computing
    • Trybulec, A.: The Mizar-QC/6000 logic information language. ALLC Bulletin (Association for Literary and Linguistic Computing) 6, 136-140 (1978)
    • (1978) ALLC Bulletin , vol.6 , pp. 136-140
    • Trybulec, A.1
  • 105
    • 0343646385 scopus 로고
    • Computer aided reasoning
    • Parikh, R, ed, Logics of Programs, Springer, Heidelberg
    • Trybulec, A., Blair, H.A.: Computer aided reasoning. In: Parikh, R. (ed.) Logics of Programs. LNCS, vol. 193, pp. 406-412. Springer, Heidelberg (1985)
    • (1985) LNCS , vol.193 , pp. 406-412
    • Trybulec, A.1    Blair, H.A.2
  • 106
    • 84960561455 scopus 로고
    • On computable numbers, with an application to the Entscheidungsproblem
    • Turing, A.M.: On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society (2) 42, 230-265 (1936)
    • (1936) Proceedings of the London Mathematical Society (2) , vol.42 , pp. 230-265
    • Turing, A.M.1
  • 108
    • 0003343439 scopus 로고
    • On the decision problem and the mechanization of theorem proving in elementary geometry
    • Wen-tsün, W.: On the decision problem and the mechanization of theorem proving in elementary geometry. Scientia Sinica 21, 157-179 (1978)
    • (1978) Scientia Sinica , vol.21 , pp. 157-179
    • Wen-tsün, W.1
  • 110
    • 37049007542 scopus 로고    scopus 로고
    • The Seventeen Provers of the World
    • Wiedijk, R ed, Springer, Heidelberg
    • Wiedijk, R (ed.): The Seventeen Provers of the World. LNCS, vol. 3600. Springer, Heidelberg (2006)
    • (2006) LNCS , vol.3600


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.