메뉴 건너뛰기




Volumn 4060 LNCS, Issue , 2006, Pages 375-404

A bialgebraic review of deterministic automata, regular expressions and languages

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; FORMAL LANGUAGES;

EID: 38549174610     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11780274_20     Document Type: Conference Paper
Times cited : (71)

References (36)
  • 1
    • 0016060837 scopus 로고
    • Foundations of system theory: Decomposable systems
    • M.A. Arbib and E.G. Manes. Foundations of system theory: Decomposable systems. Automatica, 10:285-302, 1974.
    • (1974) Automatica , vol.10 , pp. 285-302
    • Arbib, M.A.1    Manes, E.G.2
  • 4
    • 0004086833 scopus 로고
    • Springer, Berlin, Revised and corrected version available from URL
    • M. Barr and Ch. Wells. Toposes, Triples and Theories. Springer, Berlin, 1985. Revised and corrected version available from URL: www.cwru.edu/artsci/math/wells/pub/ttt.html.
    • (1985) Toposes, Triples and Theories
    • Barr, M.1    Wells, C.2
  • 6
    • 84941176795 scopus 로고    scopus 로고
    • J. Beck. Distributive laws. In B. Eckman, editor, Seminar on Triples and Categorical Homolgy Theory, number 80 in Lect. Notes Math, pages 119-140. Springer, Berlin, 1969.
    • J. Beck. Distributive laws. In B. Eckman, editor, Seminar on Triples and Categorical Homolgy Theory, number 80 in Lect. Notes Math, pages 119-140. Springer, Berlin, 1969.
  • 7
    • 0029229420 scopus 로고
    • Bisimulation can't be traced
    • B. Bloom, S. Istrail, and A.R. Meyer. Bisimulation can't be traced. Journ. ACM, 42(1):232-268, 1988.
    • (1988) Journ. ACM , vol.42 , Issue.1 , pp. 232-268
    • Bloom, B.1    Istrail, S.2    Meyer, A.R.3
  • 8
    • 84945709734 scopus 로고
    • Derivatives of regular expressions
    • J.A. Brzozowski. Derivatives of regular expressions. Journ. ACM, 11(4):481-494, 1964.
    • (1964) Journ. ACM , vol.11 , Issue.4 , pp. 481-494
    • Brzozowski, J.A.1
  • 10
    • 0009008991 scopus 로고    scopus 로고
    • W. Fokkink. On the completeness of the equations for the Kleene star in bisimulation. In M. Wirsing and M. Nivat, editors, Algebraic Methodology and Software Technology, number 1101 in Lect. Notes Comp. Sci., pages 180-194. Springer, Berlin, 1996.
    • W. Fokkink. On the completeness of the equations for the Kleene star in bisimulation. In M. Wirsing and M. Nivat, editors, Algebraic Methodology and Software Technology, number 1101 in Lect. Notes Comp. Sci., pages 180-194. Springer, Berlin, 1996.
  • 11
    • 84966206052 scopus 로고
    • Minimal realization of machines in closed categories
    • J.A. Goguen. Minimal realization of machines in closed categories. Bull. Amer. Math. Soc, 78(5):777-783, 1972.
    • (1972) Bull. Amer. Math. Soc , vol.78 , Issue.5 , pp. 777-783
    • Goguen, J.A.1
  • 12
    • 0002264921 scopus 로고
    • Realization is universal
    • J.A. Goguen. Realization is universal. Math. Syst. Theor., 6(4):359-374, 1973.
    • (1973) Math. Syst. Theor , vol.6 , Issue.4 , pp. 359-374
    • Goguen, J.A.1
  • 13
    • 0016470857 scopus 로고
    • Discrete-time machines in closed monoidal categories. I
    • J.A. Goguen. Discrete-time machines in closed monoidal categories. I. Journ. Comp. Syst. Sci, 10:1-43, 1975.
    • (1975) Journ. Comp. Syst. Sci , vol.10 , pp. 1-43
    • Goguen, J.A.1
  • 14
    • 0000198242 scopus 로고
    • Structured operational semantics and bisimulation as a congruence
    • J.F. Groote and F. Vaandrager. Structured operational semantics and bisimulation as a congruence. Inf. & Comp., 100(2):202-260, 1992.
    • (1992) Inf. & Comp , vol.100 , Issue.2 , pp. 202-260
    • Groote, J.F.1    Vaandrager, F.2
  • 15
    • 0001055350 scopus 로고    scopus 로고
    • Structural induction and coinduction in a fibrational setting
    • C. Hermida and B. Jacobs. Structural induction and coinduction in a fibrational setting. Inf. & Comp., 145:107-152, 1998.
    • (1998) Inf. & Comp , vol.145 , pp. 107-152
    • Hermida, C.1    Jacobs, B.2
  • 16
    • 0002715717 scopus 로고    scopus 로고
    • Objects and classes, co-algebraically
    • B. Freitag, C.B. Jones, C. Lengauer, and H.-J. Schek, editors, Kluwer Acad. Publ
    • B. Jacobs. Objects and classes, co-algebraically. In B. Freitag, C.B. Jones, C. Lengauer, and H.-J. Schek, editors, Object-Orientation with Parallelism and Persistence, pages 83-103. Kluwer Acad. Publ, 1996.
    • (1996) Object-Orientation with Parallelism and Persistence , pp. 83-103
    • Jacobs, B.1
  • 17
    • 84941170426 scopus 로고    scopus 로고
    • B. Jacobs. Exercises in coalgebraic specification. In R. Croie R. Backhouse and J. Gibbons, editors, Algebraic and Coalgebraic Methods in the Mathematics of Program Construction, number 2297 in Lect. Notes Comp. Sci., pages 237-280. Springer, Berlin, 2002.
    • B. Jacobs. Exercises in coalgebraic specification. In R. Croie R. Backhouse and J. Gibbons, editors, Algebraic and Coalgebraic Methods in the Mathematics of Program Construction, number 2297 in Lect. Notes Comp. Sci., pages 237-280. Springer, Berlin, 2002.
  • 18
    • 84855196944 scopus 로고    scopus 로고
    • B. Jacobs. Distributive laws for the coinductive solution of recursive equations. Inf. & Comp. 204(4), 2006, pages 561-587. Earlier version in number 106 in Elect. Notes in Theor. Comp. Sci.
    • B. Jacobs. Distributive laws for the coinductive solution of recursive equations. Inf. & Comp. 204(4), 2006, pages 561-587. Earlier version in number 106 in Elect. Notes in Theor. Comp. Sci.
  • 19
    • 0000999464 scopus 로고
    • Adjoint lifting theorems for categories of algebras
    • P.T. Johnstone. Adjoint lifting theorems for categories of algebras. Bull. London Math. Soc, 7:294-297, 1975.
    • (1975) Bull. London Math. Soc , vol.7 , pp. 294-297
    • Johnstone, P.T.1
  • 20
    • 84869195047 scopus 로고    scopus 로고
    • M. Kick. Bialgebraic modelling of timed processes. In P. Widmayer et al., editor, International Colloquium on Automata, Languages and Programming, number 2380 in Lect. Notes Comp. Sci, pages 525-536. Springer, Berlin, 2002.
    • M. Kick. Bialgebraic modelling of timed processes. In P. Widmayer et al., editor, International Colloquium on Automata, Languages and Programming, number 2380 in Lect. Notes Comp. Sci, pages 525-536. Springer, Berlin, 2002.
  • 21
    • 0003067817 scopus 로고
    • Representation of events in nerve nets and finite automata
    • C. E. Shannon and J. McCarthy, editors, Princeton University Press
    • S.C. Kleene. Representation of events in nerve nets and finite automata. In C. E. Shannon and J. McCarthy, editors, Automata Studies, number 34 in Annals of Mathematics Studies, pages 3-41. Princeton University Press, 1956.
    • (1956) Automata Studies, number 34 in Annals of Mathematics Studies , pp. 3-41
    • Kleene, S.C.1
  • 22
    • 84941166360 scopus 로고    scopus 로고
    • S. Koushik and G. Rosu. Generating optimal monitors for extended regular expressions. In Runtime Verification (RV'03), number 89(2) in Elect. Notes in Theor. Comp. Sci. Elsevier, Amsterdam, 2003.
    • S. Koushik and G. Rosu. Generating optimal monitors for extended regular expressions. In Runtime Verification (RV'03), number 89(2) in Elect. Notes in Theor. Comp. Sci. Elsevier, Amsterdam, 2003.
  • 23
    • 0000042790 scopus 로고
    • A completeness theorem for Kleene algebras and the algebra of regular events
    • D. Kozen. A completeness theorem for Kleene algebras and the algebra of regular events. Inf. & Comp., 110(2):366-390, 1994.
    • (1994) Inf. & Comp , vol.110 , Issue.2 , pp. 366-390
    • Kozen, D.1
  • 24
    • 26844534887 scopus 로고    scopus 로고
    • D. Kozen. Myhill-nerode relations on automatic systems and the completeness of Kleene algebra. In A. Ferreira and H. Reichel, editors, Symposium on Theoretical Aspects of Computer Science, number 2010 in Lect. Notes Comp. Sci, pages 27-38. Springer, Berlin, 2001.
    • D. Kozen. Myhill-nerode relations on automatic systems and the completeness of Kleene algebra. In A. Ferreira and H. Reichel, editors, Symposium on Theoretical Aspects of Computer Science, number 2010 in Lect. Notes Comp. Sci, pages 27-38. Springer, Berlin, 2001.
  • 26
    • 18944387191 scopus 로고    scopus 로고
    • M. Lenisa, J. Power, and H. Watanabe. Distributivity for endofunctors, pointed and copointed endofunctors, monads and comonads. In H. Reichel, editor, Coalgebraic Methods in Computer Science, number 33 in Elect. Notes in Theor. Comp. Sci. Elsevier, Amsterdam, 2000.
    • M. Lenisa, J. Power, and H. Watanabe. Distributivity for endofunctors, pointed and copointed endofunctors, monads and comonads. In H. Reichel, editor, Coalgebraic Methods in Computer Science, number 33 in Elect. Notes in Theor. Comp. Sci. Elsevier, Amsterdam, 2000.
  • 27
    • 0023439262 scopus 로고
    • Alternating automata on infinite trees
    • D.E. Muller and P.E. Schupp. Alternating automata on infinite trees. Theor. Comp. Sci., 54(2/3):267-276, 1987.
    • (1987) Theor. Comp. Sci , vol.54 , Issue.2-3 , pp. 267-276
    • Muller, D.E.1    Schupp, P.E.2
  • 28
    • 0002689259 scopus 로고
    • Finite automata
    • J. van Leeuwen, editor, Computer Science, Elsevier/MIT Press
    • D. Perrin. Finite automata. In J. van Leeuwen, editor, Handbook of Theoretical Computer Science, volume B, pages 1-55. Elsevier/MIT Press, 1990.
    • (1990) Handbook of Theoretical , vol.B , pp. 1-55
    • Perrin, D.1
  • 29
    • 84976111956 scopus 로고
    • An approach to object semantics based on terminal co-algebras
    • H. Reichel. An approach to object semantics based on terminal co-algebras. Math. Struct, in Comp. Sci., 5:129-152, 1995.
    • (1995) Math. Struct, in Comp. Sci , vol.5 , pp. 129-152
    • Reichel, H.1
  • 30
    • 84945953914 scopus 로고    scopus 로고
    • J. Rutten. Automata and coinduction (an exercise in coalgebra). In D. Sangiorigi and R. de Simone, editors, Concur'98: Concurrency Theory, number 1466 in Lect. Notes Comp. Sei, pages 194-218. Springer, Berlin, 1998.
    • J. Rutten. Automata and coinduction (an exercise in coalgebra). In D. Sangiorigi and R. de Simone, editors, Concur'98: Concurrency Theory, number 1466 in Lect. Notes Comp. Sei, pages 194-218. Springer, Berlin, 1998.
  • 31
    • 0142093023 scopus 로고    scopus 로고
    • Behavioural differential equations: A coinductive calculus of streams, automata, and power series
    • J. Rutten. Behavioural differential equations: a coinductive calculus of streams, automata, and power series. Theor. Comp. Sci., 308:1-53, 2003.
    • (2003) Theor. Comp. Sci , vol.308 , pp. 1-53
    • Rutten, J.1
  • 32
    • 84909932581 scopus 로고    scopus 로고
    • J. Rutten and D. Turi. Initial algebra and final coalgebra semantics for concurrency. In J.W. de Bakker, W.P. de Roever, and G. Rozenberg, editors, A Decade of Concurrency, number 803 in Lect. Notes Comp. Sci, pages 530-582. Springer, Berlin, 1994.
    • J. Rutten and D. Turi. Initial algebra and final coalgebra semantics for concurrency. In J.W. de Bakker, W.P. de Roever, and G. Rozenberg, editors, A Decade of Concurrency, number 803 in Lect. Notes Comp. Sci, pages 530-582. Springer, Berlin, 1994.
  • 33
    • 84887419074 scopus 로고    scopus 로고
    • J.J.M.M. Rutten. Automata, power series, and coinduction: Taking input derivatives seriously (extended abstract). In J. Wiedermann, P. van Emde Boas, and M. Nielsen, editors, International Colloquium on Automata, Languages and Programming, number 1644 in Lect. Notes Comp. Sci, pages 645-654. Springer, Berlin, 1999.
    • J.J.M.M. Rutten. Automata, power series, and coinduction: Taking input derivatives seriously (extended abstract). In J. Wiedermann, P. van Emde Boas, and M. Nielsen, editors, International Colloquium on Automata, Languages and Programming, number 1644 in Lect. Notes Comp. Sci, pages 645-654. Springer, Berlin, 1999.
  • 35
    • 0030684322 scopus 로고    scopus 로고
    • Towards a mathematical operational semantics
    • IEEE, Computer Science Press
    • D. Turi and G. Plotkin. Towards a mathematical operational semantics. In Logic in Computer Science, pages 280-291. IEEE, Computer Science Press, 1997.
    • (1997) Logic in Computer Science , pp. 280-291
    • Turi, D.1    Plotkin, G.2
  • 36
    • 0942291416 scopus 로고    scopus 로고
    • Recursion schemes from comonads
    • T. Uustalu, V. Vene, and A. Pardo. Recursion schemes from comonads. Nordic Journ. Comput., 8(3):366-390, 2001.
    • (2001) Nordic Journ. Comput , vol.8 , Issue.3 , pp. 366-390
    • Uustalu, T.1    Vene, V.2    Pardo, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.