메뉴 건너뛰기




Volumn 1631, Issue , 1999, Pages 332-355

On the connections between rewriting and formal language theory

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATA THEORY; FORMAL LANGUAGES;

EID: 84957673589     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-48685-2_27     Document Type: Conference Paper
Times cited : (6)

References (70)
  • 2
    • 85034245905 scopus 로고
    • The power of the Church-Rosser property in string-rewriting systems
    • D.W. Loveland, editor, Lecture Notes in Computer Science 138, Springer-Verlag, Berlin
    • R.V. Book. The power of the Church-Rosser property in string-rewriting systems. In D.W. Loveland, editor, 6th Conference on Automated Deduction, Lecture Notes in Computer Science 138, pages 360-368. Springer-Verlag, Berlin, 1982.
    • (1982) 6th Conference on Automated Deduction , pp. 360-368
    • Book, R.V.1
  • 3
    • 0009915378 scopus 로고
    • Decidable sentences of Church-Rosser congruences
    • R.V. Book. Decidable sentences of Church-Rosser congruences. Theoretical Computer Science, 24:301-312, 1983.
    • (1983) Theoretical Computer Science , vol.24 , pp. 301-312
    • Book, R.V.1
  • 6
    • 0000150176 scopus 로고
    • Tree generating regular systems
    • W.J. Brainerd. Tree generating regular systems. Information and Control, 14:217-231, 1969.
    • (1969) Information and Control , vol.14 , pp. 217-231
    • Brainerd, W.J.1
  • 7
    • 84887115804 scopus 로고
    • Growing context-sensitive languages and Church-Rosser languages
    • E.W. Mayr and C. Puech, editors, Lecture Notes in Computer Science 900, Springer-Verlag, Berlin
    • G. Buntrock and F. Otto. Growing context-sensitive languages and Church-Rosser languages. In E.W. Mayr and C. Puech, editors, Proc. of STACS 95, Lecture Notes in Computer Science 900, pages 313-324. Springer-Verlag, Berlin, 1995.
    • (1995) Proc. of STACS 95 , pp. 313-324
    • Buntrock, G.1    Otto, F.2
  • 8
    • 0010183563 scopus 로고    scopus 로고
    • Growing context-sensitive languages and Church-Rosser languages
    • G. Buntrock and F. Otto. Growing context-sensitive languages and Church-Rosser languages. Information and Computation, 141:1-36, 1998.
    • (1998) Information and Computation , vol.141 , pp. 1-36
    • Buntrock, G.1    Otto, F.2
  • 9
    • 84957679509 scopus 로고    scopus 로고
    • Technical Report No. 1997/29, Dep. of Mathematics and Computer Science, University of Leicester
    • C.M. Campbell, E.F. Robertson, N. Ruškuc, and R.M. Thomas. Automatic semigroups. Technical Report No. 1997/29, Dep. of Mathematics and Computer Science, University of Leicester, 1997.
    • (1997) Automatic semigroups
    • Campbell, C.M.1    Robertson, E.F.2    Ruškuc, N.3    Thomas, R.M.4
  • 10
    • 0029181199 scopus 로고
    • Sequentiality, second order monadic logic and tree automata
    • IEEE Computer Society Press, San Diego
    • H. Comon. Sequentiality, second order monadic logic and tree automata. In Proceedings 10th Symposium on Logic in Computer Science, pages 508-517. IEEE Computer Society Press, San Diego, 1995.
    • (1995) Proceedings 10th Symposium on Logic in Computer Science , pp. 508-517
    • Comon, H.1
  • 12
    • 0022882167 scopus 로고
    • Membership for growing context-sensitive grammars is polynomial
    • E. Dahlhaus and M. Warmuth. Membership for growing context-sensitive grammars is polynomial. Journal Computer System Sciences, 33:456-472, 1986.
    • (1986) Journal Computer System Sciences , vol.33 , pp. 456-472
    • Dahlhaus, E.1    Warmuth, M.2
  • 14
    • 0025499418 scopus 로고
    • Decidability of the confluence of finite ground term rewrite systems and of other related term rewrite systems
    • M. Dauchet, T. Heuillard, P. Lescanne, and S. Tison. Decidability of the confluence of finite ground term rewrite systems and of other related term rewrite systems. Information and Computation, 88:187-201, 1990.
    • (1990) Information and Computation , vol.88 , pp. 187-201
    • Dauchet, M.1    Heuillard, T.2    Lescanne, P.3    Tison, S.4
  • 15
    • 0346017847 scopus 로고
    • Decidability of confluence for ground term rewriting systems
    • Lecture Notes in Computer Science 199, Springer-Verlag, Berlin
    • M. Dauchet and S. Tison. Decidability of confluence for ground term rewriting systems. In Fundamentals of Comp. Theory, Cottbus 1985, Lecture Notes in Computer Science 199, pages 80-89. Springer-Verlag, Berlin, 1985.
    • (1985) Fundamentals of Comp. Theory, Cottbus 1985 , pp. 80-89
    • Dauchet, M.1    Tison, S.2
  • 16
    • 0025596345 scopus 로고
    • The theory of ground rewriting systems is decidable
    • J.C. Mitchell, editor, IEEE Computer Society Press, Los Alamitos, CA
    • M. Dauchet and S. Tison. The theory of ground rewriting systems is decidable. In J.C. Mitchell, editor, Proc. of 5th LICS, pages 242-248. IEEE Computer Society Press, Los Alamitos, CA, 1990.
    • (1990) Proc. of 5th LICS , pp. 242-248
    • Dauchet, M.1    Tison, S.2
  • 20
    • 0025447903 scopus 로고
    • A characterization of irreducible sets modulo left-linear term rewriting systems by tree automata
    • Z. Fülöp and S. Vágvölgyi. A characterization of irreducible sets modulo left-linear term rewriting systems by tree automata. Fundamenta Informaticae, 13:211-226, 1990.
    • (1990) Fundamenta Informaticae , vol.13 , pp. 211-226
    • Fülöp, Z.1    Vágvölgyi, S.2
  • 23
    • 0003002778 scopus 로고    scopus 로고
    • Tree languages
    • G. Rozenberg and A. Salomaa, editors, Springer-Verlag, Berlin
    • F. Gécseg and M. Steinby. Tree languages. In G. Rozenberg and A. Salomaa, editors, Handbook of Formal Languages, Vol. III, pages 1-68. Springer-Verlag, Berlin, 1997.
    • (1997) Handbook of Formal Languages , vol.3 , pp. 1-68
    • Gécseg, F.1    Steinby, M.2
  • 24
    • 0000119878 scopus 로고
    • Dehn functions and l1-norms of finite presentations
    • G. Baumslag and C.F. Miller III, editors, Math. Sciences Research Institute Publ. 23, Springer-Verlag, New York
    • S.M. Gersten. Dehn functions and l1-norms of finite presentations. In G. Baumslag and C.F. Miller III, editors, Algorithms and Classification in Combinatorial Group Theory, Math. Sciences Research Institute Publ. 23, pages 195-224. Springer-Verlag, New York, 1992.
    • (1992) Algorithms and Classification in Combinatorial Group Theory , pp. 195-224
    • Gersten, S.M.1
  • 25
    • 85031937752 scopus 로고
    • Decision problems for term rewriting systems and recognizable tree languages
    • C. Choffrut and M. Jantzen, editors, Lecture Notes in Computer Science 480, Springer-Verlag
    • R. Gilleron. Decision problems for term rewriting systems and recognizable tree languages. In C. Choffrut and M. Jantzen, editors, Proc. of STACS'91, Lecture Notes in Computer Science 480, pages 148-159. Springer-Verlag, 1991.
    • (1991) Proc. of STACS'91 , pp. 148-159
    • Gilleron, R.1
  • 26
    • 84974751548 scopus 로고
    • Regular tree languages and rewrite systems
    • R. Gilleron and S. Tison. Regular tree languages and rewrite systems. Fundamenta Informaticae, 24:157-175, 1995.
    • (1995) Fundamenta Informaticae , vol.24 , pp. 157-175
    • Gilleron, R.1    Tison, S.2
  • 27
    • 0000091155 scopus 로고
    • Presentations of groups and monoids
    • R. Gilman. Presentations of groups and monoids. Journal of Algebra, 57:544-554, 1979.
    • (1979) Journal of Algebra , vol.57 , pp. 544-554
    • Gilman, R.1
  • 28
    • 0011672242 scopus 로고    scopus 로고
    • Linear generalized semi-monadic rewrite systems effectively preserve recognizability
    • P. Gyenizse and S. Vágvölgyi. Linear generalized semi-monadic rewrite systems effectively preserve recognizability. Theoretical Computer Science, 194:87-122, 1998.
    • (1998) Theoretical Computer Science , vol.194 , pp. 87-122
    • Gyenizse, P.1    Vágvölgyi, S.2
  • 29
    • 38149144548 scopus 로고
    • Linearizing term rewriting systems using test sets
    • D. Hofbauer and M. Huber. Linearizing term rewriting systems using test sets. Journal of Symbolic Computation, 17:91-129, 1994.
    • (1994) Journal of Symbolic Computation , vol.17 , pp. 91-129
    • Hofbauer, D.1    Huber, M.2
  • 33
    • 0003164539 scopus 로고
    • Computations in orthogonal rewriting systems I and II
    • J.L. Lassez and G. Plotkin, editors, MIT Press, This paper was written in 1979
    • G. Huet and J.J. Lévy. Computations in orthogonal rewriting systems I and II. In J.L. Lassez and G. Plotkin, editors, Computational Logic: Essays in Honor of Alan Robinson, pages 395-443. MIT Press, 1991. This paper was written in 1979.
    • (1991) Computational Logic: Essays in Honor of Alan Robinson , pp. 395-443
    • Huet, G.1    Lévy, J.J.2
  • 34
    • 84957626754 scopus 로고    scopus 로고
    • Decidable approximations of term rewriting systems
    • H. Ganzinger, editor, Lecture Notes in Computer Science 1103, Springer-Verlag, Berlin
    • F. Jacquemard. Decidable approximations of term rewriting systems. In H. Ganzinger, editor, Proc. of RTA'96, Lecture Notes in Computer Science 1103, pages 362-376. Springer-Verlag, Berlin, 1996.
    • (1996) Proc. of RTA'96 , pp. 362-376
    • Jacquemard, F.1
  • 35
    • 26344453052 scopus 로고    scopus 로고
    • On restarting automata with rewriting
    • G. Pǎun and A. Salomaa, editors, Lecture Notes in Computer Science 1218, Springer-Verlag, Berlin
    • P. Jančar, F. Mráz, M. Plátek, and J. Vogel. On restarting automata with rewriting. In G. Pǎun and A. Salomaa, editors, New Trends in Formal Languages, Lecture Notes in Computer Science 1218, pages 119-136. Springer-Verlag, Berlin, 1997.
    • (1997) New Trends in Formal Languages , pp. 119-136
    • Jančar, P.1    Mráz, F.2    Plátek, M.3    Vogel, J.4
  • 36
    • 84947715642 scopus 로고    scopus 로고
    • Shostak's congruence closure as completion
    • H. Comon, editor, Lecture Notes in Computer Science 1232, Springer-Verlag, Berlin
    • D. Kapur. Shostak's congruence closure as completion. In H. Comon, editor, Rewriting Techniques and Applications, Proc. of RTA'97, Lecture Notes in Computer Science 1232, pages 23-37. Springer-Verlag, Berlin, 1997.
    • (1997) Rewriting Techniques and Applications, Proc. of RTA'97 , pp. 23-37
    • Kapur, D.1
  • 37
    • 0024108228 scopus 로고
    • A closure property of regular languages
    • T. Kretschmer. A closure property of regular languages. Theoretical Computer Science, 61:283-287, 1988.
    • (1988) Theoretical Computer Science , vol.61 , pp. 283-287
    • Kretschmer, T.1
  • 38
    • 0000698051 scopus 로고
    • On relationship between term rewriting systems and regular tree languages
    • R.V. Book, editor, Lecture Notes in Computer Science 488, Springer-Verlag, Berlin
    • G. Kucherov. On relationship between term rewriting systems and regular tree languages. In R.V. Book, editor, Rewriting Techniques and Applications, Proceedings RTA'91, Lecture Notes in Computer Science 488, pages 299-311. Springer-Verlag, Berlin, 1991.
    • (1991) Rewriting Techniques and Applications, Proceedings RTA'91 , pp. 299-311
    • Kucherov, G.1
  • 39
    • 0002545327 scopus 로고
    • Decidability of regularity and related properties of ground normal form languages
    • G. Kucherov and M. Tajine. Decidability of regularity and related properties of ground normal form languages. Information and Computation, 118:91-100, 1995.
    • (1995) Information and Computation , vol.118 , pp. 91-100
    • Kucherov, G.1    Tajine, M.2
  • 41
    • 0011459607 scopus 로고
    • A method for enumerating cosets of a group presented by a canonical system
    • ACM Press, New York
    • N. Kuhn and K. Madlener. A method for enumerating cosets of a group presented by a canonical system. In Proc. ISSAC'89, pages 338-350. ACM Press, New York, 1989.
    • (1989) Proc. ISSAC'89 , pp. 338-350
    • Kuhn, N.1    Madlener, K.2
  • 42
    • 0025539003 scopus 로고
    • A test for λ-confluence for certain prefix rewriting systems with applications to the generalized word problem
    • S. Watanabe and M. Nagata, editors, ACM, New York
    • N. Kuhn, K. Madlener, and F. Otto. A test for λ-confluence for certain prefix rewriting systems with applications to the generalized word problem. In S. Watanabe and M. Nagata, editors, Proceedings ISSAC'90, pages 8-15. ACM, New York, 1990.
    • (1990) Proceedings ISSAC'90 , pp. 8-15
    • Kuhn, N.1    Madlener, K.2    Otto, F.3
  • 47
    • 0022902122 scopus 로고
    • The problems of cyclic equality and conjugacy for finite complete rewriting systems
    • P. Narendran and F. Otto. The problems of cyclic equality and conjugacy for finite complete rewriting systems. Theoretical Computer Science, 47:27-38, 1986.
    • (1986) Theoretical Computer Science , vol.47 , pp. 27-38
    • Narendran, P.1    Otto, F.2
  • 48
    • 84947928938 scopus 로고    scopus 로고
    • The Church-Rosser languages are the deterministic variants of the growing context-sensitive languages
    • M. Nivat, editor, Lecture Notes in Computer Science 1378, Springer-Verlag, Berlin
    • G. Niemann and F. Otto. The Church-Rosser languages are the deterministic variants of the growing context-sensitive languages. In M. Nivat, editor, Foundations of Software Science and Computation Structures, Proceedings FoSSaCS'98, Lecture Notes in Computer Science 1378, pages 243-257. Springer-Verlag, Berlin, 1998.
    • (1998) Foundations of Software Science and Computation Structures, Proceedings FoSSaCS'98 , pp. 243-257
    • Niemann, G.1    Otto, F.2
  • 50
    • 0041540129 scopus 로고
    • Some undecidability results for non-monadic Church-Rosser Thue systems
    • F. Otto. Some undecidability results for non-monadic Church-Rosser Thue systems. Theoretical Computer Science, 33:261-278, 1984.
    • (1984) Theoretical Computer Science , vol.33 , pp. 261-278
    • Otto, F.1
  • 51
    • 38249033457 scopus 로고
    • On deciding the confluence of a finite string-rewriting system on a given congruence class
    • F. Otto. On deciding the confluence of a finite string-rewriting system on a given congruence class. Journal Computer System Sciences, 35:285-310, 1987.
    • (1987) Journal Computer System Sciences , vol.35 , pp. 285-310
    • Otto, F.1
  • 52
    • 0009667408 scopus 로고
    • Completing a finite special string-rewriting system on the congruence class of the empty word
    • F. Otto. Completing a finite special string-rewriting system on the congruence class of the empty word. Applicable Algebra in Engineering, Communication and Computing, 2:257-274, 1992.
    • (1992) Applicable Algebra in Engineering, Communication and Computing , vol.2 , pp. 257-274
    • Otto, F.1
  • 53
    • 0347286020 scopus 로고
    • The problem of deciding confluence on a given congruence class is tractable for finite special string-rewriting systems
    • F. Otto. The problem of deciding confluence on a given congruence class is tractable for finite special string-rewriting systems. Mathematical Systems Theory, 25:241-251, 1992.
    • (1992) Mathematical Systems Theory , vol.25 , pp. 241-251
    • Otto, F.1
  • 56
    • 0008402892 scopus 로고    scopus 로고
    • Some undecidability results concerning the property of preserving regularity
    • F. Otto. Some undecidability results concerning the property of preserving regularity. Theoretical Computer Science, 207:43-72, 1998.
    • (1998) Theoretical Computer Science , vol.207 , pp. 43-72
    • Otto, F.1
  • 57
    • 84947744330 scopus 로고    scopus 로고
    • Cross-sections for finitely presented monoids with decidable word problems
    • H. Comon, editor, Lecture Notes in Computer Science 1232, Springer-Verlag, Berlin
    • F. Otto, M. Katsura, and Y. Kobayashi. Cross-sections for finitely presented monoids with decidable word problems. In H. Comon, editor, Rewriting Techniques and Applications, Proceedings RTA'97, Lecture Notes in Computer Science 1232, pages 53-67. Springer-Verlag, Berlin, 1997.
    • (1997) Rewriting Techniques and Applications, Proceedings RTA'97 , pp. 53-67
    • Otto, F.1    Katsura, M.2    Kobayashi, Y.3
  • 58
    • 0032209876 scopus 로고    scopus 로고
    • Infinite convergent string-rewriting systems and cross-sections for finitely presented monoids
    • F. Otto, M. Katsura, and Y. Kobayashi. Infinite convergent string-rewriting systems and cross-sections for finitely presented monoids. Journal of Symbolic Computation, 26:621-648, 1998.
    • (1998) Journal of Symbolic Computation , vol.26 , pp. 621-648
    • Otto, F.1    Katsura, M.2    Kobayashi, Y.3
  • 59
    • 84958742786 scopus 로고    scopus 로고
    • Automatic monoids versus monoids with finite convergent presentations
    • T. Nipkow, editor, Lecture Notes in Computer Science 1379, Springer-Verlag, Berlin
    • F. Otto, A. Sattler-Klein, and K. Madlener. Automatic monoids versus monoids with finite convergent presentations. In T. Nipkow, editor, Rewriting Techniques and Applications, Proceedings RTA'98, Lecture Notes in Computer Science 1379, pages 32-46. Springer-Verlag, Berlin, 1998.
    • (1998) Rewriting Techniques and Applications, Proceedings RTA'98 , pp. 32-46
    • Otto, F.1    Sattler-Klein, A.2    Madlener, K.3
  • 60
    • 0026153880 scopus 로고
    • Decision problems for finite special string-rewriting systems that are confluent on some congruence class
    • F. Otto and L. Zhang. Decision problems for finite special string-rewriting systems that are confluent on some congruence class. Acta Informatica, 28:477-510, 1991.
    • (1991) Acta Informatica , vol.28 , pp. 477-510
    • Otto, F.1    Zhang, L.2
  • 61
    • 0023207176 scopus 로고
    • The Church-Rosser property for ground term-rewriting systems is decidable
    • M. Oyamaguchi. The Church-Rosser property for ground term-rewriting systems is decidable. Theoretical Computer Science, 49:43-79, 1987.
    • (1987) Theoretical Computer Science , vol.49 , pp. 43-79
    • Oyamaguchi, M.1
  • 62
    • 0027540748 scopus 로고
    • NV-sequentiality: A decidable condition for call-by-need computations in term-rewriting systems
    • M. Oyamaguchi. NV-sequentiality: a decidable condition for call-by-need computations in term-rewriting systems. SIAM Journal on Computing, 22:114-135, 1993.
    • (1993) SIAM Journal on Computing , vol.22 , pp. 114-135
    • Oyamaguchi, M.1
  • 63
    • 0024144257 scopus 로고
    • Deterministic tree pushdown automata and monadic tree rewriting systems
    • K. Salomaa. Deterministic tree pushdown automata and monadic tree rewriting systems. Journal Computer System Sciences, 37:367-394, 1988.
    • (1988) Journal Computer System Sciences , vol.37 , pp. 367-394
    • Salomaa, K.1
  • 66
    • 84958766141 scopus 로고
    • Effcient ground completion: An O(n log n) algorithm for generating reduced sets of ground rewrite rules equivalent to a set of ground equations E
    • N. Deshowitz, editor, Lecture Notes in Computer Science 355, Springer-Verlag, Berlin
    • W. Snyder. Effcient ground completion: an O(n log n) algorithm for generating reduced sets of ground rewrite rules equivalent to a set of ground equations E. In N. Deshowitz, editor, Rewriting Techniques and Applications, Proceedings RTA'89, Lecture Notes in Computer Science 355, pages 419-433. Springer-Verlag, Berlin, 1989.
    • (1989) Rewriting Techniques and Applications, Proceedings RTA'89 , pp. 419-433
    • Snyder, W.1
  • 67
    • 0002196939 scopus 로고
    • A fast algorithm for generating reduced ground rewriting systems from a set of ground equations
    • W. Snyder. A fast algorithm for generating reduced ground rewriting systems from a set of ground equations. Journal of Symbolic Computation, 15:415-450, 1993.
    • (1993) Journal of Symbolic Computation , vol.15 , pp. 415-450
    • Snyder, W.1
  • 68
    • 0002614970 scopus 로고
    • Generalized finite automata with an application to a decision problem of second-order logic
    • J. Thatcher and J. Wright. Generalized finite automata with an application to a decision problem of second-order logic. Mathematical Systems Theory, 2:57-82, 1968.
    • (1968) Mathematical Systems Theory , vol.2 , pp. 57-82
    • Thatcher, J.1    Wright, J.2
  • 69
    • 0001494083 scopus 로고
    • For a rewrite system it is decidable whether the set of irreducible ground terms is recognizable
    • S. Vágvölgyi and R. Gilleron. For a rewrite system it is decidable whether the set of irreducible ground terms is recognizable. Bulletin of the EATCS, 48:197-209, 1992.
    • (1992) Bulletin of the EATCS , vol.48 , pp. 197-209
    • Vágvölgyi, S.1    Gilleron, R.2
  • 70
    • 0016070314 scopus 로고
    • The equivalence problem for deterministic finite-turn pushdown automata
    • L.G. Valiant. The equivalence problem for deterministic finite-turn pushdown automata. Information and Control, 25:123-133, 1974.
    • (1974) Information and Control , vol.25 , pp. 123-133
    • Valiant, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.