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Volumn 14, Issue 1, 2013, Pages

Nondeterministic phase semantics and the undecidability of Boolean BI

Author keywords

Boolean BI; Decidability; Linear logic; Minsky machines encoding

Indexed keywords

INTUITIONISTIC LINEAR LOGIC; KRIPKE SEMANTICS; LINEAR LOGIC; PHASE SEMANTICS; SPATIAL LOGIC; UNDECIDABILITY;

EID: 84876252429     PISSN: 15293785     EISSN: 1557945X     Source Type: Journal    
DOI: 10.1145/2422085.2422091     Document Type: Article
Times cited : (21)

References (27)
  • 2
    • 77956365253 scopus 로고    scopus 로고
    • A unified display proof theory for bunched logic
    • Brotherston, J. 2010. A unified display proof theory for bunched logic. Electr. Notes Theor. Comput. Sci. 265, 197-211.
    • (2010) Electr. Notes Theor. Comput. Sci. , vol.265 , pp. 197-211
    • Brotherston, J.1
  • 5
    • 23444458687 scopus 로고    scopus 로고
    • Deciding validity in a spatial logic for trees
    • Calcagno, C., Cardelli, L., and Gordon, A. 2005. Deciding validity in a spatial logic for trees. J. Func. Program. 15, 4, 543-572.
    • (2005) J. Func. Program , vol.15 , Issue.4 , pp. 543-572
    • Calcagno, C.1    Cardelli, L.2    Gordon, A.3
  • 9
    • 33750707250 scopus 로고    scopus 로고
    • The semantics of BI and resource tableaux
    • Galmiche, D., Méry, D., and Pym, D. 2005. The semantics of BI and resource tableaux. Math. Struct. Comput. Sci. 15, 6, 1033-1088.
    • (2005) Math. Struct. Comput. Sci. , vol.15 , Issue.6 , pp. 1033-1088
    • Galmiche, D.1    Méry, D.2    Pym, D.3
  • 13
    • 38149148467 scopus 로고
    • Linear logic as a logic of computations
    • Kanovich, M. 1994. Linear logic as a logic of computations. Ann. Pure Appl. Logic 67, 1-3, 183-212.
    • (1994) Ann. Pure Appl. Logic , vol.67 , Issue.1-3 , pp. 183-212
    • Kanovich, M.1
  • 14
    • 0040344776 scopus 로고
    • The direct simulation of Minsky machines in linear logic
    • J.-Y. Girard, Y. Lafont, and L. Regnier Eds., London Mathematical Society Lecture Notes, Cambridge University Press, Chapter 2
    • Kanovich, M. 1995. The direct simulation of Minsky machines in linear logic. In Advances in Linear Logic, J.-Y. Girard, Y. Lafont, and L. Regnier Eds., London Mathematical Society Lecture Notes, vol. 222. Cambridge University Press, Chapter 2, 123-145.
    • (1995) Advances in Linear Logic , vol.222 , pp. 123-145
    • Kanovich, M.1
  • 15
    • 0030559455 scopus 로고    scopus 로고
    • The undecidability of second order linear logic without exponentials
    • Lafont, Y. 1996. The undecidability of second order linear logic without exponentials. J. Symbolic Logic 61, 2, 541-548.
    • (1996) J. Symbolic Logic , vol.61 , Issue.2 , pp. 541-548
    • Lafont, Y.1
  • 16
    • 0002938182 scopus 로고    scopus 로고
    • The undecidability of second order multiplicative linear logic
    • Lafont, Y. and Scedrov, A. 1996. The undecidability of second order multiplicative linear logic. Inf. Comput. 125, 1, 46-51.
    • (1996) Inf. Comput. , vol.125 , Issue.1 , pp. 46-51
    • Lafont, Y.1    Scedrov, A.2
  • 17
    • 77957913229 scopus 로고    scopus 로고
    • An alternative direct simulation of minsky machines into classical bunched logics via group semantics
    • Larchey-Wendling, D. 2010. An alternative direct simulation of minsky machines into classical bunched logics via group semantics. Electr. Notes Theor. Comput. Sci. 265, 369-387.
    • (2010) Electr. Notes Theor. Comput. Sci. , vol.265 , pp. 369-387
    • Larchey-Wendling, D.1
  • 18
    • 69749117546 scopus 로고    scopus 로고
    • Exploring the relation between Intuitionistic BI and Boolean BI: An unexpected embedding
    • Larchey-Wendling, D. and Galmiche, D. 2009. Exploring the relation between Intuitionistic BI and Boolean BI: An unexpected embedding. Math. Struct. Comput. Sci. 19, 3, 435-500.
    • (2009) Math. Struct. Comput. Sci. , vol.19 , Issue.3 , pp. 435-500
    • Larchey-Wendling, D.1    Galmiche, D.2
  • 21
    • 0001699148 scopus 로고
    • Recursive unsolvability of Post's problem of 'tag' and other topics in the theory of Turing machines
    • Minsky, M. 1961. Recursive unsolvability of Post's problem of 'tag' and other topics in the theory of Turing machines. Ann. Math. 74, 3, 437-455.
    • (1961) Ann. Math. , vol.74 , Issue.3 , pp. 437-455
    • Minsky, M.1
  • 22
    • 0033420437 scopus 로고    scopus 로고
    • The logic of bunched implications
    • O'Hearn, P. and Pym, D. 1999. The logic of bunched implications. Bull. Symbolic Logic 5, 2, 215-244.
    • (1999) Bull. Symbolic Logic , vol.5 , Issue.2 , pp. 215-244
    • O'Hearn, P.1    Pym, D.2
  • 23
    • 0037014252 scopus 로고    scopus 로고
    • A uniform semantic proof for cut-elimination and completeness of various first and higher order logics
    • Okada, M. 2002. A uniform semantic proof for cut-elimination and completeness of various first and higher order logics. Theor. Comput. Sci. 281, 1-2, 471-498.
    • (2002) Theor. Comput. Sci. , vol.281 , Issue.1-2 , pp. 471-498
    • Okada, M.1
  • 24
    • 0344994313 scopus 로고    scopus 로고
    • The semantics and proof theory of the logic of bunched implications
    • Kluwer Academic Publishers. Errata
    • Pym, D. 2002. The semantics and proof theory of the logic of bunched implications. Applied Logic Series, vol. 26. Kluwer Academic Publishers. Errata available at http://www.cs.ac.uk/~pym/pym-tofts-fac-errata.pdf.
    • (2002) Applied Logic Series , vol.26
    • Pym, D.1
  • 26
    • 0003354116 scopus 로고
    • Lectures on linear logic
    • CSLI, Stanford, CA
    • Troelstra, A. 1992. Lectures on linear logic. Lecture Notes Series, vol. 29. CSLI, Stanford, CA.
    • (1992) Lecture Notes Series , vol.29
    • Troelstra, A.1
  • 27
    • 0002731807 scopus 로고
    • Quantales and (noncommutative) linear logic
    • Yetter, D. 1990. Quantales and (noncommutative) linear logic. J. Symbolic Logic 55, 1, 41-64.
    • (1990) J. Symbolic Logic , vol.55 , Issue.1 , pp. 41-64
    • Yetter, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.