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Volumn 6, Issue 3, 2010, Pages 1-39

Non-deterministic kleene coalgebras

Author keywords

Axiomatization; Coalgebra; Kleene's theorem

Indexed keywords

AXIOMATI-SATION; COALGEBRAS; COMPLETE AXIOMATIZATIONS; DETERMINISTIC FINITE AUTOMATA; DETERMINISTICS; KLEENE'S THEOREM; LABELLED TRANSITION SYSTEMS; MEALY MACHINES; REGULAR EXPRESSIONS; SOUND AND COMPLETE;

EID: 77957603491     PISSN: None     EISSN: 18605974     Source Type: Journal    
DOI: 10.2168/LMCS-6(3:23)2010     Document Type: Article
Times cited : (30)

References (36)
  • 1
    • 0026454612 scopus 로고
    • Termination, deadlock, and divergence
    • pages 21, 31
    • Luca Aceto and Matthew Hennessy. Termination, deadlock, and divergence. J. ACM, 39(1):147-187, 1992. pages 21, 31
    • (1992) J. ACM , vol.39 , Issue.1 , pp. 147-187
    • Aceto, L.1    Hennessy, M.2
  • 2
    • 36749007927 scopus 로고    scopus 로고
    • Recursive coalgebras of finitary functors
    • pages 32
    • Jirí Adámek, Dominik Lücke, and Stefan Milius. Recursive coalgebras of finitary functors. ITA, 41(4):447-462, 2007. pages 32
    • (2007) ITA , vol.41 , Issue.4 , pp. 447-462
    • Adámek, J.1    Lücke, D.2    Milius, S.3
  • 6
    • 70349863101 scopus 로고    scopus 로고
    • Deriving syntaxand axioms for quantitative regular behaviours
    • In Mario Bravetti and Gianluigi Zavattaro, editors, Springer, pages 37
    • Filippo Bonchi, Marcello M. Bonsangue, Jan J. M. M. Rutten, and Alexandra Silva. Deriving syntaxand axioms for quantitative regular behaviours. In Mario Bravetti and Gianluigi Zavattaro, editors,CONCUR, volume 5710 of Lecture Notes in Computer Science, pages 146-162. Springer, 2009. pages 37
    • (2009) CONCUR, volume 5710 of Lecture Notes in Computer Science , pp. 146-162
    • Bonchi, F.1    Bonsangue, M.M.2    Jan Rutten, J.M.M.3    Silva, A.4
  • 7
    • 24644508033 scopus 로고    scopus 로고
    • Duality for logics of transition systems
    • In VladimiroSassone, editor, Springer, pages 37
    • Marcello M. Bonsangue and Alexander Kurz. Duality for logics of transition systems. In VladimiroSassone, editor, FoSSaCS, volume 3441 of Lecture Notes in Computer Science, pages 455-469. Springer, 2005. pages 37
    • (2005) FoSSaCS, volume 3441 of Lecture Notes in Computer Science , pp. 455-469
    • Bonsangue, M.M.1    Kurz, A.2
  • 8
    • 33745778420 scopus 로고    scopus 로고
    • Presenting functors by operations and equations
    • In LucaAceto and Anna Ingólfsdóttir, editors, Springer, pages 37
    • Marcello M. Bonsangue and Alexander Kurz. Presenting functors by operations and equations. In LucaAceto and Anna Ingólfsdóttir, editors, FoSSaCS, volume 3921 of LNCS, pages 172-186. Springer, 2006.pages 37
    • (2006) FoSSaCS, volume 3921 of LNCS , pp. 172-186
    • Bonsangue, M.M.1    Kurz, A.2
  • 9
    • 47249118438 scopus 로고    scopus 로고
    • Coalgebraic logic and synthesis of Mealy machines
    • In Roberto M. Amadio, editor, Springer, pages 1, 4, 35, 37
    • Marcello M. Bonsangue, Jan J. M. M. Rutten, and Alexandra Silva. Coalgebraic logic and synthesis ofMealy machines. In Roberto M. Amadio, editor, FoSSaCS, volume 4962 of Lecture Notes in ComputerScience, pages 231-245. Springer, 2008. pages 1, 4, 35, 37
    • (2008) FoSSaCS, volume 4962 of Lecture Notes in ComputerScience , pp. 231-245
    • Bonsangue, M.M.1    Jan Rutten, J.M.M.2    Silva, A.3
  • 10
    • 70350599806 scopus 로고    scopus 로고
    • An algebra for Kripke polynomialcoalgebras
    • In, IEEE Computer Society pages 2, 37, 38
    • Marcello M. Bonsangue, Jan J. M. M. Rutten, and Alexandra Silva. An algebra for Kripke polynomialcoalgebras. In LICS, pages 49-58. IEEE Computer Society, 2009. pages 2, 37, 38
    • (2009) LICS , pp. 49-58
    • Bonsangue, M.M.1    Jan Rutten, J.M.M.2    Silva, A.3
  • 12
    • 33746620486 scopus 로고    scopus 로고
    • Approximating and computing behavioural distances in probabilistictransition systems
    • pages 36
    • Franck van Breugel and James Worrell. Approximating and computing behavioural distances in probabilistictransition systems. Theor. Comput. Sci., 360(1-3):373-385, 2006. pages 36
    • (2006) Theor. Comput. Sci. , vol.360 , Issue.1-3 , pp. 373-385
    • van Breugel, F.1    Worrell, J.2
  • 13
    • 84945709734 scopus 로고
    • Derivatives of regular expressions
    • pages 8, 10, 15, 27, 37
    • Janusz A. Brzozowski. Derivatives of regular expressions. Journal of the ACM, 11(4):481-494, 1964.pages 8, 10, 15, 27, 37
    • (1964) Journal of the ACM , vol.11 , Issue.4 , pp. 481-494
    • Brzozowski, J.A.1
  • 14
    • 35048865778 scopus 로고    scopus 로고
    • Modular construction of modal logics
    • In Philippa Gardner andNobuko Yoshida, editors, Springer, pages 37
    • Corina Cîrstea and Dirk Pattinson. Modular construction of modal logics. In Philippa Gardner andNobuko Yoshida, editors, CONCUR, volume 3170 of Lecture Notes in Computer Science, pages 258-275. Springer, 2004. pages 37
    • (2004) CONCUR, volume 3170 of Lecture Notes in Computer Science , pp. 258-275
    • Cîrstea, C.1    Pattinson, D.2
  • 15
    • 0001059418 scopus 로고
    • Monadic computation and iterative algebraic theories
    • In H.E. Rose and J.C. Shepherdson,editors, North-Holland Publishers
    • C.C. Elgot. Monadic computation and iterative algebraic theories. In H.E. Rose and J.C. Shepherdson,editors, Logic Colloquium '73. North-Holland Publishers, 1975. pages 36
    • (1975) Logic Colloquium '73 , pp. 36
    • Elgot, C.C.1
  • 16
    • 0006419926 scopus 로고
    • Reactive, generative and stratified modelsof probabilistic processes
    • pages 38
    • Rob J. van Glabbeek, Scott A. Smolka, and Bernhard Steffen. Reactive, generative and stratified modelsof probabilistic processes. Inf. Comput., 121(1):59-80, 1995. pages 38
    • (1995) Inf. Comput. , vol.121 , Issue.1 , pp. 59-80
    • van Glabbeek Rob, J.1    Smolka, S.A.2    Steffen, B.3
  • 17
    • 33746622204 scopus 로고    scopus 로고
    • Equational logic of polynomial coalgebras
    • In Philippe Balbiani, Nobu-Yuki Suzuki,Frank Wolter, and Michael Zakharyaschev, editors, King'sCollege Publications, pages 37
    • Robert Goldblatt. Equational logic of polynomial coalgebras. In Philippe Balbiani, Nobu-Yuki Suzuki,Frank Wolter, and Michael Zakharyaschev, editors, Advances in Modal Logic 4, pages 149-184. King'sCollege Publications, 2002. pages 37
    • (2002) Advances in Modal Logic , vol.4 , pp. 149-184
    • Goldblatt, R.1
  • 18
    • 0001055350 scopus 로고    scopus 로고
    • Structural induction and coinduction in a fibrational setting
    • pages 5
    • Claudio Hermida and Bart Jacobs. Structural induction and coinduction in a fibrational setting. Inf.Comput., 145(2):107-152, 1998. pages 5
    • (1998) Inf.Comput. , vol.145 , Issue.2 , pp. 107-152
    • Hermida, C.1    Jacobs, B.2
  • 19
    • 17844383468 scopus 로고    scopus 로고
    • Many-sorted coalgebraic modal logic: A model-theoretic study
    • pages 37
    • Bart Jacobs. Many-sorted coalgebraic modal logic: a model-theoretic study. ITA, 35(1):31-59, 2001.pages 37
    • (2001) ITA , vol.35 , Issue.1 , pp. 31-59
    • Jacobs, B.1
  • 20
    • 38549174610 scopus 로고    scopus 로고
    • A bialgebraic review of deterministic automata, regular expressions and languages
    • In Kokichi Futatsugi, Jean-Pierre Jouannaud, and José Meseguer, editors, Springer, pages 36
    • Bart Jacobs. A bialgebraic review of deterministic automata, regular expressions and languages. InKokichi Futatsugi, Jean-Pierre Jouannaud, and José Meseguer, editors, Essays Dedicated to Joseph A.Goguen, volume 4060 of Lecture Notes in Computer Science, pages 375-404. Springer, 2006. pages 36
    • (2006) Essays Dedicated to Joseph A.Goguen, volume 4060 of Lecture Notes in Computer Science , pp. 375-404
    • Jacobs, B.1
  • 21
    • 0003067817 scopus 로고
    • Representation of events in nerve nets and finite automata
    • pages 1, 36
    • Stephen Kleene. Representation of events in nerve nets and finite automata. Automata Studies, pages3-42, 1956. pages 1, 36
    • (1956) Automata Studies , pp. 3-42
    • Kleene, S.1
  • 22
    • 0026191419 scopus 로고
    • A completeness theorem for Kleene algebras and the algebra of regular events
    • pages 1, 36
    • Dexter Kozen. A completeness theorem for Kleene algebras and the algebra of regular events. In Logicin Computer Science, pages 214-225, 1991. pages 1, 36
    • (1991) Logicin Computer Science , pp. 214-225
    • Kozen, D.1
  • 23
    • 51549115745 scopus 로고    scopus 로고
    • On the coalgebraic theory of Kleene algebra with tests
    • Computing and Information Science, Cornell University, March
    • Dexter Kozen. On the coalgebraic theory of Kleene algebra with tests. Technical Reporthttp://hdl.handle.net/1813/10173, Computing and Information Science, Cornell University, March2008. pages 31, 37, 38
    • (2008) Technical Report
    • Kozen, D.1
  • 24
    • 68549093468 scopus 로고    scopus 로고
    • Coalgebraic automata theory: Basic results
    • Clemens Kupke and Yde Venema. Coalgebraic automata theory: Basic results. Logical Methods inComputer Science, 4(4), 2008. pages 37
    • (2008) Logical Methods inComputer Science , vol.4 , Issue.4 , pp. 37
    • Kupke, C.1    Venema, Y.2
  • 25
    • 85184371715 scopus 로고    scopus 로고
    • Algebra and Coalgebra in Computer Sci-ence, Third International Conference, CALCO 2009, Udine, Italy, September 7-10, 2009
    • Alexander Kurz, Marina Lenisa, and Andrzej Tarlecki, editors, Springer
    • Alexander Kurz, Marina Lenisa, and Andrzej Tarlecki, editors. Algebra and Coalgebra in Computer Sci-ence, Third International Conference, CALCO 2009, Udine, Italy, September 7-10, 2009. Proceedings,volume 5728 of Lecture Notes in Computer Science. Springer, 2009. pages 39
    • (2009) Proceedings,volume 5728 of Lecture Notes in Computer Science , pp. 39
  • 27
    • 80053096715 scopus 로고    scopus 로고
    • A sound and complete calculus for finite stream circuits
    • To appear
    • Stefan Milius. A sound and complete calculus for finite stream circuits. In LICS, 2010. To appear. pages36
    • (2010) LICS , pp. 36
    • Milius, S.1
  • 28
    • 0000066575 scopus 로고
    • A complete inference system for a class of regular behaviours
    • pages 1, 7, 36
    • Robin Milner. A complete inference system for a class of regular behaviours. J. Comput. Syst. Sci., 28(3):439-466, 1984. pages 1, 7, 36
    • (1984) J. Comput. Syst. Sci. , vol.28 , Issue.3 , pp. 439-466
    • Milner, R.1
  • 31
    • 0001986854 scopus 로고    scopus 로고
    • Universal coalgebra: A theory of systems
    • pages 2, 4, 5, 6, 25
    • Jan J. M. M. Rutten. Universal coalgebra: a theory of systems. Theor. Comput. Sci., 249(1):3-80, 2000.pages 2, 4, 5, 6, 25
    • (2000) Theor. Comput. Sci. , vol.249 , Issue.1 , pp. 3-80
    • Rutten Jan, J.M.M.1
  • 33
    • 0000529045 scopus 로고
    • Two complete axiom systems for the algebra of regular events
    • pages 36
    • Arto Salomaa. Two complete axiom systems for the algebra of regular events. J. ACM, 13(1):158-169, 1966. pages 36
    • (1966) J. ACM , vol.13 , Issue.1 , pp. 158-169
    • Salomaa, A.1
  • 34
    • 38149032450 scopus 로고    scopus 로고
    • Modular algorithms for heterogeneous modal logics
    • In Lars Arge,Christian Cachin, Tomasz Jurdzinski, and Andrzej Tarlecki, editors, Springer, pages 37
    • Lutz Schröder and Dirk Pattinson. Modular algorithms for heterogeneous modal logics. In Lars Arge,Christian Cachin, Tomasz Jurdzinski, and Andrzej Tarlecki, editors, ICALP, volume 4596 of LectureNotes in Computer Science, pages 459-471. Springer, 2007. pages 37
    • (2007) ICALP, volume 4596 of LectureNotes in Computer Science , pp. 459-471
    • Schröder, L.1    Pattinson, D.2
  • 36
    • 85022954743 scopus 로고    scopus 로고
    • On the foundations of final coalgebra semantics: Non-wellfoundedsets, partial orders, metric spaces
    • pages 36
    • Daniele Turi and Jan J. M. M. Rutten. On the foundations of final coalgebra semantics: non-wellfoundedsets, partial orders, metric spaces. Mathematical Structures in Computer Science, 8(5):481-540, 1998. pages 36
    • (1998) Mathematical Structures in Computer Science , vol.8 , Issue.5 , pp. 481-540
    • Turi, D.1    Rutten Jan, J.M.M.2


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