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Volumn 87, Issue , 2017, Pages 33-50

Join inverse categories and reversible recursion

Author keywords

Categorical semantics; Enriched category theory; Recursion; Reversible computing

Indexed keywords

COMPUTATION THEORY; INVERSE PROBLEMS; SEMANTICS; STRUCTURE (COMPOSITION);

EID: 84994112964     PISSN: 23522208     EISSN: 23522216     Source Type: Journal    
DOI: 10.1016/j.jlamp.2016.08.003     Document Type: Article
Times cited : (39)

References (50)
  • 1
    • 85017516713 scopus 로고    scopus 로고
    • Join inverse categories and reversible recursion, abstract presented at the 27th Nordic Workshop on Programming Theory.
    • [1] R. Kaarsgaard, Join inverse categories and reversible recursion, 2015, abstract presented at the 27th Nordic Workshop on Programming Theory.
    • (2015)
    • Kaarsgaard, R.1
  • 3
    • 0000328287 scopus 로고
    • Irreversibility and heat generation in the computing process
    • [3] Landauer, R., Irreversibility and heat generation in the computing process. IBM J. Res. Dev. 5:3 (1961), 183–191.
    • (1961) IBM J. Res. Dev. , vol.5 , Issue.3 , pp. 183-191
    • Landauer, R.1
  • 4
    • 33750189955 scopus 로고
    • Conservative logic
    • [4] Fredkin, E., Toffoli, T., Conservative logic. Int. J. Theor. Phys. 21:3–4 (1982), 219–253.
    • (1982) Int. J. Theor. Phys. , vol.21 , Issue.3-4 , pp. 219-253
    • Fredkin, E.1    Toffoli, T.2
  • 5
    • 0015680909 scopus 로고
    • Logical reversibility of computation
    • [5] Bennett, C.H., Logical reversibility of computation. IBM J. Res. Dev. 17:6 (1973), 525–532.
    • (1973) IBM J. Res. Dev. , vol.17 , Issue.6 , pp. 525-532
    • Bennett, C.H.1
  • 8
    • 80052813492 scopus 로고    scopus 로고
    • Two-way reversible multihead automata
    • [8] Morita, K., Two-way reversible multihead automata. Fundam. Inform. 110:1–4 (2011), 241–254.
    • (2011) Fundam. Inform. , vol.110 , Issue.1-4 , pp. 241-254
    • Morita, K.1
  • 10
    • 84883411200 scopus 로고    scopus 로고
    • A compositional semantics for the reversible π-calculus
    • IEEE Computer Society
    • [10] Cristescu, I., Krivine, J., Varacca, D., A compositional semantics for the reversible π-calculus. LICS 2013, 2013, IEEE Computer Society, 388–397.
    • (2013) LICS 2013 , pp. 388-397
    • Cristescu, I.1    Krivine, J.2    Varacca, D.3
  • 11
    • 79951802712 scopus 로고    scopus 로고
    • Robust and reversible execution of self-reconfiguration sequences
    • [11] Schultz, U.P., Bordignon, M., Støy, K., Robust and reversible execution of self-reconfiguration sequences. Robotica 29:1 (2011), 35–57.
    • (2011) Robotica , vol.29 , Issue.1 , pp. 35-57
    • Schultz, U.P.1    Bordignon, M.2    Støy, K.3
  • 14
    • 84975701572 scopus 로고    scopus 로고
    • Fundamentals of reversible flowchart languages
    • [14] Yokoyama, T., Axelsen, H.B., Glück, R., Fundamentals of reversible flowchart languages. Theor. Comput. Sci. 611 (2016), 87–115.
    • (2016) Theor. Comput. Sci. , vol.611 , pp. 87-115
    • Yokoyama, T.1    Axelsen, H.B.2    Glück, R.3
  • 15
    • 84978874770 scopus 로고    scopus 로고
    • Theseus: A high level language for reversible computing
    • work-in-progress report at RC available at
    • [15] James, R.P., Sabry, A., Theseus: A high level language for reversible computing. work-in-progress report at RC, 2014 available at https://www.cs.indiana.edu/~sabry/papers/theseus.pdf, 2014.
    • (2014)
    • James, R.P.1    Sabry, A.2
  • 16
    • 84857179559 scopus 로고    scopus 로고
    • Dagger traced symmetric monoidal categories and reversible programming
    • A. De Vos R. Wille Ghent University
    • [16] Bowman, W.J., James, R.P., Sabry, A., Dagger traced symmetric monoidal categories and reversible programming. De Vos, A., Wille, R., (eds.) Reversible Computation 2011, Proceedings, 2011, Ghent University, 51–56.
    • (2011) Reversible Computation 2011, Proceedings , pp. 51-56
    • Bowman, W.J.1    James, R.P.2    Sabry, A.3
  • 17
    • 0037028444 scopus 로고    scopus 로고
    • Restriction categories I: categories of partial maps
    • [17] Cockett, J.R.B., Lack, S., Restriction categories I: categories of partial maps. Theor. Comput. Sci. 270:1–2 (2002), 223–259.
    • (2002) Theor. Comput. Sci. , vol.270 , Issue.1-2 , pp. 223-259
    • Cockett, J.R.B.1    Lack, S.2
  • 18
    • 84961749378 scopus 로고    scopus 로고
    • An investigation of some theoretical aspects of reversible computing
    • Ph.D. thesis University of Calgary
    • [18] Giles, B.G., An investigation of some theoretical aspects of reversible computing. Ph.D. thesis, 2014, University of Calgary.
    • (2014)
    • Giles, B.G.1
  • 19
    • 84895061753 scopus 로고    scopus 로고
    • Products, joins, meets, and ranges in restriction categories
    • Ph.D. thesis University of Calgary
    • [19] Guo, X., Products, joins, meets, and ranges in restriction categories. Ph.D. thesis, 2012, University of Calgary.
    • (2012)
    • Guo, X.1
  • 20
    • 9544220155 scopus 로고    scopus 로고
    • A categorical approach to linear logic, geometry of proofs and full completeness
    • Ph.D. thesis Carlton University and University of Ottawa
    • [20] Haghverdi, E., A categorical approach to linear logic, geometry of proofs and full completeness. Ph.D. thesis, 2000, Carlton University and University of Ottawa.
    • (2000)
    • Haghverdi, E.1
  • 21
    • 84879233548 scopus 로고    scopus 로고
    • A representation theorem for unique decomposition categories
    • U. Berger M. Mislove Elsevier
    • [21] Hoshino, N., A representation theorem for unique decomposition categories. Berger, U., Mislove, M., (eds.) MFPS XXVIII Electronic Notes in Theoretical Computer Science, vol. 286, 2012, Elsevier, 213–227.
    • (2012) MFPS XXVIII, Electronic Notes in Theoretical Computer Science , vol.286 , pp. 213-227
    • Hoshino, N.1
  • 27
    • 0037441259 scopus 로고    scopus 로고
    • Restriction categories II: partial map classification
    • [27] Cockett, J.R.B., Lack, S., Restriction categories II: partial map classification. Theor. Comput. Sci. 294:1–2 (2003), 61–102.
    • (2003) Theor. Comput. Sci. , vol.294 , Issue.1-2 , pp. 61-102
    • Cockett, J.R.B.1    Lack, S.2
  • 28
    • 43449087629 scopus 로고    scopus 로고
    • Restriction categories III: colimits, partial limits and extensivity
    • [28] Cockett, J.R.B., Lack, S., Restriction categories III: colimits, partial limits and extensivity. Math. Struct. Comput. Sci. 17:4 (2007), 775–817.
    • (2007) Math. Struct. Comput. Sci. , vol.17 , Issue.4 , pp. 775-817
    • Cockett, J.R.B.1    Lack, S.2
  • 29
    • 0003873959 scopus 로고    scopus 로고
    • Inverse Semigroups: The Theory of Partial Symmetries
    • World Scientific
    • [29] Lawson, M.V., Inverse Semigroups: The Theory of Partial Symmetries. 1998, World Scientific.
    • (1998)
    • Lawson, M.V.1
  • 32
    • 0002439738 scopus 로고
    • Categories of partial maps
    • [32] Robinson, E., Rosolini, G., Categories of partial maps. Inf. Comput. 79 (1988), 95–130.
    • (1988) Inf. Comput. , vol.79 , pp. 95-130
    • Robinson, E.1    Rosolini, G.2
  • 33
    • 0009006974 scopus 로고
    • Recursive data types in algebraically ω-complete categories
    • [33] Adámek, J., Recursive data types in algebraically ω-complete categories. Inf. Comput. 118 (1995), 181–190.
    • (1995) Inf. Comput. , vol.118 , pp. 181-190
    • Adámek, J.1
  • 34
    • 38249010909 scopus 로고
    • Algebraically compact functors
    • [34] Barr, M., Algebraically compact functors. J. Pure Appl. Algebra 82:3 (1992), 211–231.
    • (1992) J. Pure Appl. Algebra , vol.82 , Issue.3 , pp. 211-231
    • Barr, M.1
  • 35
    • 79955385507 scopus 로고    scopus 로고
    • Join restriction categories and the importance of being adhesive
    • presentation at Category Theory (2007)
    • [35] Cockett, J.R.B., Guo, X., Join restriction categories and the importance of being adhesive. presentation at Category Theory (2007), 2007.
    • (2007)
    • Cockett, J.R.B.1    Guo, X.2
  • 36
    • 0001773973 scopus 로고
    • Coherence for distributivity
    • G.M. Kelly M.L. Laplaza G. Lewis S. Mac Lane Springer
    • [36] Laplaza, M.L., Coherence for distributivity. Kelly, G.M., Laplaza, M.L., Lewis, G., Mac Lane, S., (eds.) Coherence in Categories Lecture Notes in Mathematics, vol. 281, 1972, Springer, 29–65.
    • (1972) Coherence in Categories, Lecture Notes in Mathematics , vol.281 , pp. 29-65
    • Laplaza, M.L.1
  • 41
    • 0003547267 scopus 로고    scopus 로고
    • Models of sharing graphs
    • Ph.D. thesis University of Edinburgh
    • [41] Hasegawa, M., Models of sharing graphs. Ph.D. thesis, 1997, University of Edinburgh.
    • (1997)
    • Hasegawa, M.1
  • 43
    • 79251511869 scopus 로고    scopus 로고
    • A survey of graphical languages for monoidal categories
    • B. Coecke Springer
    • [43] Selinger, P., A survey of graphical languages for monoidal categories. Coecke, B., (eds.) New Structures for Physics Lecture Notes in Physics, vol. 813, 2011, Springer, 289–355.
    • (2011) New Structures for Physics, Lecture Notes in Physics , vol.813 , pp. 289-355
    • Selinger, P.1
  • 44
    • 27744520535 scopus 로고    scopus 로고
    • The algebra of self-similarity and its applications
    • Ph.D. thesis University of Wales Bangor
    • [44] Hines, P.M., The algebra of self-similarity and its applications. Ph.D. thesis, 1998, University of Wales, Bangor.
    • (1998)
    • Hines, P.M.1
  • 45
    • 18944405125 scopus 로고    scopus 로고
    • Geometry of Interaction and linear combinatory algebras
    • [45] Abramsky, S., Haghverdi, E., Scott, P., Geometry of Interaction and linear combinatory algebras. Math. Struct. Comput. Sci. 12:05 (2002), 625–665.
    • (2002) Math. Struct. Comput. Sci. , vol.12 , Issue.5 , pp. 625-665
    • Abramsky, S.1    Haghverdi, E.2    Scott, P.3
  • 46
    • 51249174167 scopus 로고
    • The inverse semigroup of a sum-ordered semiring
    • [46] Manes, E.G., Benson, D.B., The inverse semigroup of a sum-ordered semiring. Semigroup Forum 31:1 (1985), 129–152.
    • (1985) Semigroup Forum , vol.31 , Issue.1 , pp. 129-152
    • Manes, E.G.1    Benson, D.B.2
  • 47
    • 84895061927 scopus 로고    scopus 로고
    • Restriction categories as enriched categories
    • [47] Cockett, R., Garner, R., Restriction categories as enriched categories. Theor. Comput. Sci. 523 (2014), 37–55.
    • (2014) Theor. Comput. Sci. , vol.523 , pp. 37-55
    • Cockett, R.1    Garner, R.2
  • 48
    • 0003411956 scopus 로고
    • Axiomatic domain theory in categories of partial maps
    • Ph.D. thesis University of Edinburgh
    • [48] Fiore, M.P., Axiomatic domain theory in categories of partial maps. Ph.D. thesis, 1994, University of Edinburgh.
    • (1994)
    • Fiore, M.P.1
  • 49
    • 84865018234 scopus 로고    scopus 로고
    • Finite dimensional Hilbert spaces are complete for dagger compact closed categories
    • [49] Selinger, P., Finite dimensional Hilbert spaces are complete for dagger compact closed categories. Log. Methods Comput. Sci. 8:3 (2012), 1–12.
    • (2012) Log. Methods Comput. Sci. , vol.8 , Issue.3 , pp. 1-12
    • Selinger, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.