메뉴 건너뛰기




Volumn 19, Issue , 1999, Pages 2-22

From set-theoretic coinduction to coalgebraic coinduction: Some results, some problems

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; OPTIMIZATION; SEMANTICS; SET THEORY; THEOREM PROVING;

EID: 0942291418     PISSN: 15710661     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1571-0661(05)80265-8     Document Type: Conference Paper
Times cited : (34)

References (36)
  • 1
    • 0003253658 scopus 로고
    • Non-well-founded sets
    • Stanford
    • Aczel P. Non-well-founded sets. CSLI Lecture Notes. 14:1988;. Stanford
    • (1988) 7CSLI Lecture Notes , vol.14
    • Aczel, P.1
  • 2
    • 85086059138 scopus 로고
    • Final universes of processes
    • MFPS'93 Conference Proceedings, Brookes et al. eds. New Orleans
    • P. Aczel. Final Universes of Processes, MFPS'93 Conference Proceedings, Brookes et al. eds., Springer LNCS 802, New Orleans 1993.
    • (1993) Springer LNCS , vol.802
    • Aczel, P.1
  • 3
    • 80051905264 scopus 로고
    • A Final Coalgebra Theorem, in Category Theory and Computer Science
    • Pitt D.H. et al.
    • Aczel P., Mendler N. A Final Coalgebra Theorem, in Category Theory and Computer Science. Pitt D.H., et al. Springer LNCS. 389:1989;357-365
    • (1989) Springer LNCS , vol.389 , pp. 357-365
    • Aczel, P.1    Mendler, N.2
  • 5
    • 18944362200 scopus 로고    scopus 로고
    • Vicious circles: On the mathematics of nonwellfounded phenomena
    • Barwise J., Moss L. Vicious circles: On the mathematics of nonwellfounded phenomena. CSLI Publications, Stanford. 1996
    • (1996) CSLI Publications, Stanford
    • Barwise, J.1    Moss, L.2
  • 6
    • 0345776125 scopus 로고
    • Infinite Objects in Type Theory, in TYPES-93
    • Coquand T. Infinite Objects in Type Theory, in TYPES-93. SLNCS. 806:1994;62-78
    • (1994) SLNCS , vol.806 , pp. 62-78
    • Coquand, T.1
  • 7
    • 0006407653 scopus 로고    scopus 로고
    • A Coinduction Principle for Recursive Data Types Based on Bisimulation
    • Fiore M. A Coinduction Principle for Recursive Data Types Based on Bisimulation. Information and Computation. 127:1996;186-198
    • (1996) Information and Computation , vol.127 , pp. 186-198
    • Fiore, M.1
  • 9
    • 84947432759 scopus 로고
    • Processes and hyperuniverses
    • MFCS'94 Conference Proceedings, I.Prívara et al. eds. Berlin
    • M.Forti, F.Honsell, M.Lenisa. Processes and Hyperuniverses, MFCS'94 Conference Proceedings, I.Prívara et al. eds., Springer LNCS 841, Berlin 1994, 352-361.
    • (1994) Springer LNCS , vol.841 , pp. 352-361
    • Forti, M.1    Honsell, F.2    Lenisa, M.3
  • 12
    • 84948168202 scopus 로고
    • Codifying guarded definitions with recursive schemes, Workshop on Types for Proofs and Programs
    • Dybjer P. et al.
    • Giménez E. Codifying guarded definitions with recursive schemes, Workshop on Types for Proofs and Programs. Dybjer P., et al. Springer LNCS. 996:1994;39-59
    • (1994) Springer LNCS , vol.996 , pp. 39-59
    • Giménez, E.1
  • 13
    • 18944407768 scopus 로고    scopus 로고
    • Structural induction and coinduction in a fibrational setting
    • to appear
    • C.Hermida, B.Jacobs. Structural induction and coinduction in a fibrational setting, to appear in Inf. and Comp.
    • Inf. and Comp.
    • Hermida, C.1    Jacobs, B.2
  • 14
    • 84947437004 scopus 로고
    • Final semantics for untyped lambda calculus
    • TLCA'95 Conf. Proc., M.Dezani, G.Plotkin eds. Berlin
    • F.Honsell, M.Lenisa. Final Semantics for Untyped Lambda Calculus, TLCA'95 Conf. Proc., M.Dezani, G.Plotkin eds., Springer LNCS 902 Berlin 1995, 249 - 265
    • (1995) Springer LNCS , vol.902 , pp. 249-265
    • Honsell, F.1    Lenisa, M.2
  • 15
    • 18944388612 scopus 로고    scopus 로고
    • Coinductive characterizations on applicative structures
    • to appear
    • F.Honsell, M.Lenisa. Coinductive Characterizations on Applicative Structures, to appear in MSCS.
    • MSCS
    • Honsell, F.1    Lenisa, M.2
  • 18
    • 84956996641 scopus 로고    scopus 로고
    • Behaviour-refinement of object-oriented specifications with coinductive correctness proofs, TAPSOFT'97
    • Bidoit M. et al.
    • Jacobs B. Behaviour-refinement of object-oriented specifications with coinductive correctness proofs, TAPSOFT'97. Bidoit M., et al. Springer LNCS. 1214:1997;787-802
    • (1997) Springer LNCS , vol.1214 , pp. 787-802
    • Jacobs, B.1
  • 19
    • 84947908685 scopus 로고    scopus 로고
    • Final Semantics for a Higher Order Concurrent Language, CAAP'96
    • Kirchner H. et al.
    • Lenisa M. Final Semantics for a Higher Order Concurrent Language, CAAP'96. Kirchner H., et al. Springer LNCS. 1059:1996;102-118
    • (1996) Springer LNCS , vol.1059 , pp. 102-118
    • Lenisa, M.1
  • 20
    • 0004487893 scopus 로고    scopus 로고
    • Ph.D. Thesis TD-6/98, Dipartimento di Informatica, Universitá di Pisa, March
    • M.Lenisa. Themes in Final Semantics, Ph.D. Thesis TD-6/98, Dipartimento di Informatica, Universitá di Pisa, March 1998.
    • (1998) Themes in Final Semantics
    • Lenisa, M.1
  • 21
    • 18944375897 scopus 로고    scopus 로고
    • A complete coinductive logical system for bisimulation equivalence on circular Objects
    • to appear
    • M.Lenisa. A Complete Coinductive Logical System for Bisimulation Equivalence on Circular Objects, to appear in FoSSaCS'99 Conf. Proc.
    • FoSSaCS'99 Conf. Proc.
    • Lenisa, M.1
  • 22
    • 0001530725 scopus 로고
    • Calculi for synchrony and asynchrony
    • Milner R. Calculi for synchrony and asynchrony. TCS. 25:1983;267-310
    • (1983) TCS , vol.25 , pp. 267-310
    • Milner, R.1
  • 25
    • 84945924340 scopus 로고
    • Concurrency and automata on infinite sequences, MFPS'93
    • Deussen P.
    • Park D.M.R. Concurrency and automata on infinite sequences, MFPS'93. Deussen P. Springer LNCS. 104:1981;167-183
    • (1981) Springer LNCS , vol.104 , pp. 167-183
    • Park, D.M.R.1
  • 26
    • 0002796916 scopus 로고    scopus 로고
    • Relational Properties of Domains
    • Pitts A.M. Relational Properties of Domains. Inf. and Comp. 127:1996;66-90
    • (1996) Inf. and Comp. , vol.127 , pp. 66-90
    • Pitts, A.M.1
  • 27
    • 18944402901 scopus 로고
    • Types and partial functions
    • Department of Computer Science, University of Edinburgh
    • G.Plotkin. Types and Partial Functions, Post-Graduate Lecture Notes, Department of Computer Science, University of Edinburgh, 1985.
    • (1985) Post-graduate Lecture Notes
    • Plotkin, G.1
  • 29
    • 19044371518 scopus 로고    scopus 로고
    • Relators and metric bisimulations
    • CMCS'98 Conf. Proc.
    • J.J.M.M.Rutten. Relators and Metric Bisimulations, CMCS'98 Conf. Proc., ENTCS 11, 1998.
    • (1998) ENTCS , vol.11
    • Rutten, J.J.M.M.1
  • 30
    • 84962687423 scopus 로고
    • On the foundations of final semantics: Non-standard sets, metric spaces, partial orders
    • REX Conference Proceedings, J.de Bakker et al. eds.
    • J.J.M.M.Rutten, D.Turi. On the Foundations of Final Semantics: Non-Standard Sets, Metric Spaces, Partial Orders, REX Conference Proceedings, J.de Bakker et al. eds., Springer LNCS 666, 1993, 477-530.
    • (1993) Springer LNCS , vol.666 , pp. 477-530
    • Rutten, J.J.M.M.1    Turi, D.2
  • 31
    • 84909932581 scopus 로고
    • Initial algebra and final coalgebra semantics for concurrency: A cecade of concurrency - Reflections and perspectives
    • REX Conference Proceedings, J.de Bakker et al. eds.
    • J.J.M.M.Rutten, D.Turi. Initial algebra and final coalgebra semantics for concurrency: A Decade of Concurrency - Reflections and Perspectives, REX Conference Proceedings, J.de Bakker et al. eds., Springer LNCS 803, 1994, 530-582.
    • (1994) Springer LNCS , vol.803 , pp. 530-582
    • Rutten, J.J.M.M.1    Turi, D.2
  • 32
    • 84951044449 scopus 로고    scopus 로고
    • Bisimulation for probabilistic transition systems: A coalgebraic approach
    • ICALP'97 Conference Proceedings, P.Degano et al, eds.
    • J.J.M.M.Rutten, E.de Vink, Bisimulation for probabilistic transition systems: a coalgebraic approach (extended abstract), ICALP'97 Conference Proceedings, P.Degano et al, eds., Springer LNCS 1256, 1997, 460-470.
    • (1997) Springer LNCS , vol.1256 , pp. 460-470
    • Rutten, J.J.M.M.1    De Vink, E.2
  • 33
    • 84947906179 scopus 로고
    • On the proof method for bisimulation
    • MFCS'95 Conference Proceedings, J.Wiedermann et al. eds.
    • D.Sangiorgi. On the proof method for bisimulation, MFCS'95 Conference Proceedings, J.Wiedermann et al. eds., Springer LNCS 969, 1995, 479-488.
    • (1995) Springer LNCS , vol.969 , pp. 479-488
    • Sangiorgi, D.1
  • 34
    • 0000874096 scopus 로고
    • The category-theoretic solution of recursive domain equations
    • Smyth M., Plotkin G. The category-theoretic solution of recursive domain equations. SIAM J. of Computing. 11:(4):1982;761-783
    • (1982) SIAM J. of Computing , vol.11 , Issue.4 , pp. 761-783
    • Smyth, M.1    Plotkin, G.2
  • 36
    • 0030684322 scopus 로고    scopus 로고
    • Towards a mathematical operational semantics
    • IEEE, Computer Science Press
    • D.Turi, G.Plotkin. Towards a mathematical operational semantics, Proc 12th LICS Conf., IEEE, Computer Science Press, 1997, 280-291.
    • (1997) Proc 12th LICS Conf. , pp. 280-291
    • Turi, D.1    Plotkin, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.