메뉴 건너뛰기




Volumn 330, Issue 1, 2005, Pages 145-169

Decision problems for semi-Thue systems with a few rules

Author keywords

Accessibility; Bounds; Decidability; Post correspondence problem; Semi Thue system; Termination

Indexed keywords

ACCESSIBILITY; BOUNDS; POST CORRESPONDENCE PROBLEMS; SEMI-THUE SYSTEM; TERMINATION;

EID: 11444249695     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2004.09.016     Document Type: Article
Times cited : (61)

References (42)
  • 1
    • 0347726398 scopus 로고
    • Investigations on algorithmic problems in algebra
    • S.I. Adjan, G.S. Makanin, Investigations on algorithmic problems in algebra (in Russian), Trudy Mat. Inst. Steklov. 168 (1984) 197-217, English translation in Proceedings of the Steklov Institute of Mathematics, Vol. 168, 1986, pp. 207-226.
    • (1984) Trudy Mat. Inst. Steklov. , vol.168 , pp. 197-217
    • Adjan, S.I.1    Makanin, G.S.2
  • 2
    • 0348170722 scopus 로고
    • English translation
    • S.I. Adjan, G.S. Makanin, Investigations on algorithmic problems in algebra (in Russian), Trudy Mat. Inst. Steklov. 168 (1984) 197-217, English translation in Proceedings of the Steklov Institute of Mathematics, Vol. 168, 1986, pp. 207-226.
    • (1986) Proceedings of the Steklov Institute of Mathematics , vol.168 , pp. 207-226
  • 3
    • 0037931756 scopus 로고    scopus 로고
    • Undecidable problems for probabilistic automata of fixed dimension
    • V.D. Blondel, and V. Canterini Undecidable problems for probabilistic automata of fixed dimension Theory Comput. Syst. 36 3 2003 231 245
    • (2003) Theory Comput. Syst. , vol.36 , Issue.3 , pp. 231-245
    • Blondel, V.D.1    Canterini, V.2
  • 6
    • 0002841286 scopus 로고    scopus 로고
    • Examples of undecidable problems for 2-generator matrix semi-groups
    • J. Cassaigne, and J. Karhumäki Examples of undecidable problems for 2-generator matrix semi-groups Theoret. Comput. Sci. 204 1998 29 34
    • (1998) Theoret. Comput. Sci. , vol.204 , pp. 29-34
    • Cassaigne, J.1    Karhumäki, J.2
  • 7
    • 0347964474 scopus 로고
    • Some remarks on PCP(k) and related problems
    • V. Claus Some remarks on PCP(k) and related problems Bull. EATCS 12 1980 54 61
    • (1980) Bull. EATCS , vol.12 , pp. 54-61
    • Claus, V.1
  • 8
    • 11444249509 scopus 로고
    • Word and conjugacy problems in groups with only a few defining relations
    • D.J. Collins Word and conjugacy problems in groups with only a few defining relations Z. Math. Logik Grundlag. Math. 15 4 1969 305 323
    • (1969) Z. Math. Logik Grundlag. Math. , vol.15 , Issue.4 , pp. 305-323
    • Collins, D.J.1
  • 9
    • 85032507036 scopus 로고
    • Simulation of Turing machines by a left-linear rewrite rule
    • Springer Berlin
    • M. Dauchet Simulation of Turing machines by a left-linear rewrite rule in: Proceedings RTA 89, Lecture Notes in Computer Science Vol. 355 1989 Springer Berlin 109 120
    • (1989) In: Proceedings RTA 89, Lecture Notes in Computer Science , vol.355 , pp. 109-120
    • Dauchet, M.1
  • 11
    • 84910829499 scopus 로고
    • Termination of rewriting
    • N. Dershowitz Termination of rewriting J. Symbolic Comput. 3 1987 69 116
    • (1987) J. Symbolic Comput. , vol.3 , pp. 69-116
    • Dershowitz, N.1
  • 13
    • 0001208326 scopus 로고
    • The (generalized) Post correspondence problem with lists consisting of two words is decidable
    • A. Ehrenfeucht, J. Karhumäki, and G. Rozenberg The (generalized) Post correspondence problem with lists consisting of two words is decidable Theoret. Comput. Sci. 21 2 1982 119 144
    • (1982) Theoret. Comput. Sci. , vol.21 , Issue.2 , pp. 119-144
    • Ehrenfeucht, A.1    Karhumäki, J.2    Rozenberg, G.3
  • 14
    • 0036520279 scopus 로고    scopus 로고
    • Decidability of termination of grid string rewriting rules
    • A. Geser Decidability of termination of grid string rewriting rules SIAM J. Comput. 31 4 2002 1156 1168 (electronic)
    • (2002) SIAM J. Comput. , vol.31 , Issue.4 , pp. 1156-1168
    • Geser, A.1
  • 15
    • 0037057880 scopus 로고    scopus 로고
    • Relative undecidability in term rewriting. I. The termination hierarchy
    • A. Geser, A. Middeldorp, E. Ohlebusch, and H. Zantema Relative undecidability in term rewriting. I. The termination hierarchy Inform. and Comput. 178 1 2002 101 131
    • (2002) Inform. and Comput. , vol.178 , Issue.1 , pp. 101-131
    • Geser, A.1    Middeldorp, A.2    Ohlebusch, E.3    Zantema, H.4
  • 16
    • 0033293230 scopus 로고    scopus 로고
    • Non-looping string rewriting
    • A. Geser, and H. Zantema Non-looping string rewriting Theor. Inform. Appl. 33 3 1999 279 301
    • (1999) Theor. Inform. Appl. , vol.33 , Issue.3 , pp. 279-301
    • Geser, A.1    Zantema, H.2
  • 17
    • 0034556674 scopus 로고    scopus 로고
    • Generalized Post correspondence problem for marked morphisms
    • V. Halava, T. Harju, and M. Hirvensalo Generalized Post correspondence problem for marked morphisms Internat. J. Algebra Comput. 10 6 2000 757 772
    • (2000) Internat. J. Algebra Comput. , vol.10 , Issue.6 , pp. 757-772
    • Halava, V.1    Harju, T.2    Hirvensalo, M.3
  • 18
    • 0001744112 scopus 로고
    • The undecidability of the Turing machine immortality problem
    • P. Hooper The undecidability of the Turing machine immortality problem J. Symbolic Logic 31 2 1966 219 234
    • (1966) J. Symbolic Logic , vol.31 , Issue.2 , pp. 219-234
    • Hooper, P.1
  • 19
    • 84976811006 scopus 로고
    • Confluent reductions: Abstract properties and applications to term rewriting systems
    • G. Huet Confluent reductions abstract properties and applications to term rewriting systems J. Assoc. Comput. Mach. 27 4 1980 797 821
    • (1980) J. Assoc. Comput. Mach. , vol.27 , Issue.4 , pp. 797-821
    • Huet, G.1
  • 20
    • 0003350066 scopus 로고
    • Confluent string rewriting
    • Springer, Berlin
    • M. Jantzen, Confluent String Rewriting, EATCS Monograph, Vol. 14, Springer, Berlin, 1988.
    • (1988) EATCS Monograph , vol.14
    • Jantzen, M.1
  • 21
    • 0034923801 scopus 로고    scopus 로고
    • Termination and derivational complexity of confluent one-rule string-rewriting systems
    • Y. Kobayashi, M. Katsura, and K. Shikishima-Tsuji Termination and derivational complexity of confluent one-rule string-rewriting systems Theoret. Comput. Sci. 262 1-2 2001 583 632
    • (2001) Theoret. Comput. Sci. , vol.262 , Issue.12 , pp. 583-632
    • Kobayashi, Y.1    Katsura, M.2    Shikishima-Tsuji, K.3
  • 22
    • 5844387837 scopus 로고    scopus 로고
    • One-rule semi-Thue systems with loops of length one two or three
    • W. Kurth One-rule semi-Thue systems with loops of length one two or three RAIRO Inform. Theor. Appl. 30 5 1996 415 429
    • (1996) RAIRO Inform. Theor. Appl. , vol.30 , Issue.5 , pp. 415-429
    • Kurth, W.1
  • 24
    • 34250882960 scopus 로고
    • Impossibility of certain algorithms in the theory of associative systems
    • A.A. Markov Impossibility of certain algorithms in the theory of associative systems Dokl. Akad. Nauk. SSSR 55 7 1947 587 590 (in Russian), reprinted in his Selected Papers, Vol. 2, MTsNMO Publisher, Moscow, 2003, pp. 3-7 (in Russian)
    • (1947) Dokl. Akad. Nauk. SSSR , vol.55 , Issue.7 , pp. 587-590
    • Markov, A.A.1
  • 25
    • 0041965448 scopus 로고
    • Impossibility of certain algorithms in the theory of associative systems
    • A.A. Markov Impossibility of certain algorithms in the theory of associative systems Dokl. Akad. Nauk. SSSR 58 1947 353 356 (in Russian), reprinted in his Selected Papers, Vol. 2, MTsNMO Publisher, Moscow, 2003, pp. 13-17 (in Russian)
    • (1947) Dokl. Akad. Nauk. SSSR , vol.58 , pp. 353-356
    • Markov, A.A.1
  • 26
    • 0039939857 scopus 로고    scopus 로고
    • Simple examples of undecidable associative calculi
    • in Russian
    • Yu.V. Matiyasevich, Simple examples of undecidable associative calculi, Dokl. AN SSSR 173 (16) (in Russian), English translation in Soviet Math. Dokl. 8 (1967) 555-557.
    • Dokl. AN SSSR , vol.173 , Issue.16
    • Matiyasevich, Yu.V.1
  • 27
    • 0000409554 scopus 로고
    • English translation
    • Yu.V. Matiyasevich, Simple examples of undecidable associative calculi, Dokl. AN SSSR 173 (16) (in Russian), English translation in Soviet Math. Dokl. 8 (1967) 555-557.
    • (1967) Soviet Math. Dokl. , vol.8 , pp. 555-557
  • 28
    • 0346279935 scopus 로고
    • Simple examples of unsolvable canonical calculi
    • Yu.V. Matiyasevich Simple examples of unsolvable canonical calculi Trudy Mat. Inst. Steklov 93 1967 50 88 (in Russian), English translation in Proc. Steklov Inst. Math. 93 (1967) 61-110
    • (1967) Trudy Mat. Inst. Steklov , vol.93 , pp. 50-88
    • Matiyasevich, Yu.V.1
  • 30
    • 0003914568 scopus 로고
    • Word problem for Thue systems with a few relations, in: Term Rewriting (Font Romeux, 1993)
    • Springer Berlin
    • Yu. Matiyasevich Word problem for Thue systems with a few relations, in: Term Rewriting (Font Romeux, 1993) Lecture Notes in Computer Science Vol. 909 1995 Springer Berlin 39 53
    • (1995) Lecture Notes in Computer Science , vol.909 , pp. 39-53
    • Matiyasevich, Yu.1
  • 31
    • 0029696236 scopus 로고    scopus 로고
    • Decision problems for semi-Thue systems with a few rules
    • IEEE Computer Society Press Silver Spring, MD
    • Yu. Matiyasevich, and G. Sénizergues Decision problems for semi-Thue systems with a few rules Lecture Notes in Computer Science Vol. 96 1996 IEEE Computer Society Press Silver Spring, MD 523 531
    • (1996) Lecture Notes in Computer Science , vol.96 , pp. 523-531
    • Matiyasevich, Yu.1    Sénizergues, G.2
  • 32
    • 0035340243 scopus 로고    scopus 로고
    • Semi-Thue systems with an inhibitor
    • R. McNaughton Semi-Thue systems with an inhibitor J. Automat. Reason. 26 4 2001 409 431
    • (2001) J. Automat. Reason. , vol.26 , Issue.4 , pp. 409-431
    • McNaughton, R.1
  • 33
    • 0000556615 scopus 로고
    • Formal reductions of the general combinatorial decision problem
    • E.L. Post Formal reductions of the general combinatorial decision problem Amer. J. Math. 65 1943 197 215
    • (1943) Amer. J. Math. , vol.65 , pp. 197-215
    • Post, E.L.1
  • 34
    • 0002605406 scopus 로고
    • Recursive unsolvability of a problem of Thue
    • E.L. Post Recursive unsolvability of a problem of Thue J. Symbolic Logic 12 1 1947 1 11 reprinted in: M. Davis (Ed.), Solvability, Provability, Definability: The Collected Works of Emil L. Post, Birkhäuser, Boston a.o., 1994, pp. 503-513
    • (1947) J. Symbolic Logic , vol.12 , Issue.1 , pp. 1-11
    • Post, E.L.1
  • 35
    • 11444261248 scopus 로고
    • Some undecidable termination problems for semi-Thue systems
    • G. Sénizergues Some undecidable termination problems for semi-Thue systems Theoret. Comput. Sci. 142 1995 257 276
    • (1995) Theoret. Comput. Sci. , vol.142 , pp. 257-276
    • Sénizergues, G.1
  • 36
    • 84957653056 scopus 로고    scopus 로고
    • On the termination-problem for one-rule semi-Thue systems
    • RTA 96
    • G. Sénizergues, On the termination-problem for one-rule semi-Thue systems, in: RTA 96, Lecture Notes in Computer Science 1103 (1996) 302-316.
    • (1996) Lecture Notes in Computer Science , vol.1103 , pp. 302-316
    • Sénizergues, G.1
  • 38
    • 0004996591 scopus 로고
    • Probleme über veränderungen von zeichenreihen nach gegebenen regeln
    • A. Thue. Probleme über veränderungen von zeichenreihen nach gegebenen regeln, Skr. Vid. Kristiania, I Mat. Naturv. Klasse 10 (1914) 34. Reprinted in his Selected Mathematical Papers, Universitetsforlaget, Oslo, 1977, pp. 493-524.
    • (1914) Skr. Vid. Kristiania, I Mat. Naturv. Klasse , vol.10 , pp. 34
    • Thue, A.1
  • 39
    • 0442320158 scopus 로고
    • Reprinted in his, Universitetsforlaget, Oslo
    • A. Thue. Probleme über veränderungen von zeichenreihen nach gegebenen regeln, Skr. Vid. Kristiania, I Mat. Naturv. Klasse 10 (1914) 34. Reprinted in his Selected Mathematical Papers, Universitetsforlaget, Oslo, 1977, pp. 493-524.
    • (1977) Selected Mathematical Papers , pp. 493-524
  • 40
    • 84860070386 scopus 로고    scopus 로고
    • Die lösung eines spezialfalles eines generellen logichen problems
    • A. Thue, Die lösung eines spezialfalles eines generellen logichen problems, Kra. Videnskabs-Selskabets Skrifter. I. Mat. Nat. Kl.nr 8. Reprinted in his Selected Mathematical Papers, Universitetsforlaget, Oslo, 1977, pp. 273-310.
    • Kra. Videnskabs-Selskabets Skrifter. I. Mat. Nat. Kl.nr 8 , vol.8
    • Thue, A.1
  • 41
    • 0442320158 scopus 로고
    • Reprinted in his, Universitetsforlaget, Oslo
    • A. Thue, Die lösung eines spezialfalles eines generellen logichen problems, Kra. Videnskabs-Selskabets Skrifter. I. Mat. Nat. Kl.nr 8. Reprinted in his Selected Mathematical Papers, Universitetsforlaget, Oslo, 1977, pp. 273-310.
    • (1977) Selected Mathematical Papers , pp. 273-310


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.