메뉴 건너뛰기




Volumn 36, Issue 2, 2002, Pages 195-227

μ-Bicomplete categories and parity games

Author keywords

Bicomplete categories; Final coalgebras; Inductive and coinductive types; Initial algebras; Parity games

Indexed keywords

ALGEBRA; FUNCTIONS; PROBLEM SOLVING; SET THEORY; TREES (MATHEMATICS);

EID: 14244273693     PISSN: 09883754     EISSN: 28047346     Source Type: Journal    
DOI: 10.1051/ita:2002010     Document Type: Article
Times cited : (33)

References (35)
  • 1
    • 0003506569 scopus 로고
    • Stanford University Center for the Study of Language and Information, Stanford, CA
    • P. Aczel, Non-well-founded sets. Stanford University Center for the Study of Language and Information, Stanford, CA (1988).
    • (1988) Non-Well-Founded Sets
    • Aczel, P.1
  • 2
    • 0012022360 scopus 로고    scopus 로고
    • A coalgebraic view of infinite trees and iteration
    • edited by M.L.A. Corradini and U. Montanari. Elsevier Science Publishers
    • P. Aczel, J. Adámek and J. Velebil, A coalgebraic view of infinite trees and iteration, edited by M.L.A. Corradini and U. Montanari. Elsevier Science Publishers, Electron. Notes in Theoret. Comput. Sci. 44 (2001).
    • (2001) Electron. Notes in Theoret. Comput. Sci. , vol.44
    • Aczel, P.1    Adámek, J.2    Velebil, J.3
  • 4
    • 0003739017 scopus 로고
    • Locally presentable and accessible categories
    • Cambridge University Press, Cambridge
    • J. Adámek and J. Rosický, Locally presentable and accessible categories. Cambridge University Press, Cambridge (1994).
    • (1994)
    • Adámek, J.1    Rosický, J.2
  • 5
    • 77956672251 scopus 로고    scopus 로고
    • Rudiments of mu-calculus
    • Elsevier, North-Holland
    • A. Arnold and D. Niwinski, Rudiments of mu-calculus. Elsevier, North-Holland, Stud. Logic Found. Math. 146 (2001).
    • (2001) Stud. Logic Found. Math. , vol.146
    • Arnold, A.1    Niwinski, D.2
  • 6
    • 0027610699 scopus 로고
    • Terminal coalgebras in well-founded set theory
    • M. Barr, Terminal coalgebras in well-founded set theory. Theoret. Comput. Sci. 114 (1993) 299-315.
    • (1993) Theoret. Comput. Sci. , vol.114 , pp. 299-315
    • Barr, M.1
  • 7
    • 0004205975 scopus 로고
    • Springer-Verlag, Berlin; The equational logic of iterative processes
    • S.L. Bloom and Z. Ésik, Iteration theories. Springer-Verlag, Berlin (1993). The equational logic of iterative processes.
    • (1993) Iteration Theories
    • Bloom, S.L.1    Ésik, Z.2
  • 10
    • 0029637548 scopus 로고
    • Strong categorical datatypes. II. A term logic for categorical programming
    • J.R.B. Cockett and D. Spencer, Strong categorical datatypes. II. A term logic for categorical programming. Theoret. Comput. Sci. 139 (1995) 69-113.
    • (1995) Theoret. Comput. Sci. , vol.139 , pp. 69-113
    • Cockett, J.R.B.1    Spencer, D.2
  • 11
    • 0003797989 scopus 로고
    • Yellow Series Report No. 92/480/18. Department of Computer Science, The University of Calgary
    • R. Cockett and T. Fukushima, About Charity, Yellow Series Report No. 92/480/18. Department of Computer Science, The University of Calgary (1992).
    • (1992) About Charity
    • Cockett, R.1    Fukushima, T.2
  • 13
    • 0034915972 scopus 로고    scopus 로고
    • On model checking for the μ-calculus and its fragments
    • E.A. Emerson, C.S. Jutla and A.P. Sistla, On model checking for the μ-calculus and its fragments. Theoret. Comput. Sci. 258 (2001) 491-522.
    • (2001) Theoret. Comput. Sci. , vol.258 , pp. 491-522
    • Emerson, E.A.1    Jutla, C.S.2    Sistla, A.P.3
  • 14
    • 0346703020 scopus 로고    scopus 로고
    • Equational properties of iteration in algebraically complete categories
    • Mathematical foundations of computer science, Cracow (1996)
    • Z. Ésik and A. Labella, Equational properties of iteration in algebraically complete categories. Theoret. Comput. Sci. 195 (1998) 61-89. Mathematical foundations of computer science, Cracow (1996).
    • (1998) Theoret. Comput. Sci. , vol.195 , pp. 61-89
    • Ésik, Z.1    Labella, A.2
  • 15
    • 0001817272 scopus 로고
    • Algebraically complete categories
    • Springer, Berlin
    • P. Freyd, Algebraically complete categories, in Category theory (Como, 1990). Springer, Berlin (1991) 95-104.
    • (1991) Category Theory (Como, 1990) , pp. 95-104
    • Freyd, P.1
  • 19
    • 0008310029 scopus 로고    scopus 로고
    • Free lattices, communication and money games
    • Kluwer Acad. Publ., Dordrecht
    • A. Joyal, Free lattices, communication and money games, in Logic and scientific methods (Florence, 1995). Kluwer Acad. Publ., Dordrecht (1997) 29-68.
    • (1997) Logic and Scientific Methods (Florence, 1995) , pp. 29-68
    • Joyal, A.1
  • 20
    • 84973960125 scopus 로고
    • Elementary observations on 2-categorical limits
    • G.M. Kelly, Elementary observations on 2-categorical limits. Bull. Austral. Math. Soc. 39 (1989) 301-317.
    • (1989) Bull. Austral. Math. Soc. , vol.39 , pp. 301-317
    • Kelly, G.M.1
  • 21
    • 0001063647 scopus 로고
    • A fixpoint theorem for complete categories
    • J. Lambek, A fixpoint theorem for complete categories. Math. Z. 103 (1968) 151-161.
    • (1968) Math. Z. , vol.103 , pp. 151-161
    • Lambek, J.1
  • 22
    • 0000803927 scopus 로고
    • Algebraic specification of data types: A synthetic approach
    • D.J. Lehmann and M.B. Smyth, Algebraic specification of data types: A synthetic approach. Math. Systems Theory 14 (1981) 97-139.
    • (1981) Math. Systems Theory , vol.14 , pp. 97-139
    • Lehmann, D.J.1    Smyth, M.B.2
  • 24
    • 38249000493 scopus 로고
    • Infinite games played on finite graphs
    • R. McNaughton, Infinite games played on finite graphs. Ann. Pure Appl. Logic 65 (1993) 149-184.
    • (1993) Ann. Pure Appl. Logic , vol.65 , pp. 149-184
    • McNaughton, R.1
  • 25
    • 84913355219 scopus 로고
    • Regular expressions for infinite trees and a standard form of automata
    • in Computation theory (Zaborów, 1984). Springer, Berlin
    • A.W. Mostowski, Regular expressions for infinite trees and a standard form of automata, in Computation theory (Zaborów, 1984). Springer, Berlin, Lecture Notes in Comput. Sci. 208 (1985) 157-168.
    • (1985) Lecture Notes in Comput. Sci. , vol.208 , pp. 157-168
    • Mostowski, A.W.1
  • 26
    • 84974659188 scopus 로고
    • Equational μ-calculus
    • in Computation theory (Zaborów, 1984). Springer, Berlin
    • D. Niwiński, Equational μ-calculus, in Computation theory (Zaborów, 1984). Springer, Berlin, Lecture Notes in Comput. Sci. 208 (1985) 169-176.
    • (1985) Lecture Notes in Comput. Sci. , vol.208 , pp. 169-176
    • Niwiński, D.1
  • 27
    • 0012055738 scopus 로고
    • Ensembles libres de chemins dans un graphe
    • C. Reutenauer, Ensembles libres de chemins dans un graphe. Bull. Soc. Math. France 114, (1986) 135-152.
    • (1986) Bull. Soc. Math. France , vol.114 , pp. 135-152
    • Reutenauer, C.1
  • 28
    • 0001986854 scopus 로고    scopus 로고
    • Universal coalgebra: A theory of systems
    • J.J.M.M. Rutten, Universal coalgebra: A theory of systems. Theoret. Comput. Sci. 249 (2000) 3-80.
    • (2000) Theoret. Comput. Sci. , vol.249 , pp. 3-80
    • Rutten, J.J.M.M.1
  • 29
    • 0000488727 scopus 로고    scopus 로고
    • The alternation hierarchy for the theory of μ-lattices
    • A special volume of articles from the Category Theory 2000 Conference (CT2000)
    • L. Santocanale, The alternation hierarchy for the theory of μ-lattices. Theory Appl. Categ. 9 (2002) 166-197. A special volume of articles from the Category Theory 2000 Conference (CT2000).
    • (2002) Theory Appl. Categ. , vol.9 , pp. 166-197
    • Santocanale, L.1
  • 30
    • 84948983407 scopus 로고    scopus 로고
    • A calculus of circular proofs and its categorical semantics
    • in FOSSACS02, Foundations of Software Science and Computation Structures. Springer-Verlag
    • L. Santocanale, A calculus of circular proofs and its categorical semantics, in FOSSACS02, Foundations of Software Science and Computation Structures. Springer-Verlag, Lecture Notes Comput. Sci. 2303 (2002) 357-371.
    • (2002) Lecture Notes Comput. Sci. , vol.2303 , pp. 357-371
    • Santocanale, L.1
  • 31
    • 0037160897 scopus 로고    scopus 로고
    • Free μ-lattices
    • Category theory 1999 (Coimbra)
    • L. Santocanale, Free μ-lattices. J. Pure Appl. Algebra 168 (2002) 227-264. Category theory 1999 (Coimbra).
    • (2002) J. Pure Appl. Algebra , vol.168 , pp. 227-264
    • Santocanale, L.1
  • 33
    • 0001568609 scopus 로고    scopus 로고
    • Languages, automata, and logic
    • edited by G. Rozenberg and A. Salomaa. Springer-Verlag, New York
    • W. Thomas, Languages, automata, and logic edited by G. Rozenberg and A. Salomaa. Springer-Verlag, New York, Handbook of Formal Language Theory III (1996).
    • (1996) Handbook of Formal Language Theory , vol.3
    • Thomas, W.1
  • 34
    • 0035966855 scopus 로고    scopus 로고
    • Pushdown processes: Games and model-checking
    • FLOC '96 (New Brunswick, NJ)
    • I. Walukiewicz, Pushdown processes: Games and model-checking. Inform. and Comput. 164 (2001) 234-263. FLOC '96 (New Brunswick, NJ).
    • (2001) Inform. and Comput. , vol.164 , pp. 234-263
    • Walukiewicz, I.1
  • 35
    • 0000647754 scopus 로고    scopus 로고
    • Infinite games on finitely coloured graphs with applications to automata on infinite trees
    • W. Zielonka, Infinite games on finitely coloured graphs with applications to automata on infinite trees. Theoret. Comput. Sci. 200 (1998) 135-183.
    • (1998) Theoret. Comput. Sci. , vol.200 , pp. 135-183
    • Zielonka, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.