메뉴 건너뛰기




Volumn 36, Issue 2, 2002, Pages 129-153

A fully equational proof of Parikh's theorem

Author keywords

Algebraically complete commutative idempotent semirings; Commutative context free languages; Commutative idempotent semirings; Commutative rational languages; Complete axiomatizations; Equational logic; Parikh's theorem; Varieties

Indexed keywords

CONTEXT FREE GRAMMARS; CONTEXT FREE LANGUAGES; SET THEORY; TREES (MATHEMATICS); VECTORS;

EID: 14244272301     PISSN: 09883754     EISSN: 28047346     Source Type: Journal    
DOI: 10.1051/ita:2002007     Document Type: Article
Times cited : (10)

References (30)
  • 1
    • 0003687834 scopus 로고
    • Definable operations in general algebras, and the theory of automata and flowcharts
    • Technical Report. IBM Laboratory, Vienna
    • H. Bekić, Definable operations in general algebras, and the theory of automata and flowcharts, Technical Report. IBM Laboratory, Vienna (1969).
    • (1969)
    • Bekić, H.1
  • 2
    • 0000860669 scopus 로고
    • Floyd-Hoare logic in iteration theories
    • S.L. Bloom and Z. Ésik, Floyd-Hoare logic in iteration theories. J. Assoc. Comput. Mach. 38 (1991) 887-934.
    • (1991) J. Assoc. Comput. Mach. , vol.38 , pp. 887-934
    • Bloom, S.L.1    Ésik, Z.2
  • 5
    • 0033483408 scopus 로고    scopus 로고
    • Equational elements in additive algebras
    • S. Bozapalidis, Equational elements in additive algebras. Theory Comput. Syst. 32 (1999) 1-33.
    • (1999) Theory Comput. Syst. , vol.32 , pp. 1-33
    • Bozapalidis, S.1
  • 8
    • 0000664277 scopus 로고    scopus 로고
    • Group axioms for iteration
    • Z. Ésik, Group axioms for iteration. Inform. and Comput. 148 (1999) 131-180.
    • (1999) Inform. and Comput. , vol.148 , pp. 131-180
    • Ésik, Z.1
  • 16
    • 0022097849 scopus 로고
    • The complexity of equivalence problems for commutative grammars
    • D.T. Huynh, The complexity of equivalence problems for commutative grammars. Inform. and Control 66 (1985) 103-121.
    • (1985) Inform. and Control , vol.66 , pp. 103-121
    • Huynh, D.T.1
  • 17
    • 0000042790 scopus 로고
    • A completeness theorem for Kleene algebras and the algebra of regular events
    • D. Kozen, A completeness theorem for Kleene algebras and the algebra of regular events. Inform. and Comput. 110 (1994) 366-390.
    • (1994) Inform. and Comput. , vol.110 , pp. 366-390
    • Kozen, D.1
  • 19
    • 0026237826 scopus 로고
    • Complete systems of B-rational identities
    • D. Krob, Complete systems of B-rational identities. Theoret. Comput. Sci. 89 (1991) 207-343
    • (1991) Theoret. Comput. Sci. , vol.89 , pp. 207-343
    • Krob, D.1
  • 25
    • 0000457926 scopus 로고
    • On context-free languages
    • R.J. Parikh, On context-free languages. J. Assoc. Comput. Mach. 13 (1966) 570-581.
    • (1966) J. Assoc. Comput. Mach. , vol.13 , pp. 570-581
    • Parikh, R.J.1
  • 26
    • 0014651649 scopus 로고
    • Fixed point induction and proofs of program properties
    • Edinburgh Univ. Press
    • D.M.R. Park, Fixed point induction and proofs of program properties, in Machine Intelligence, Vol. 5, Edinburgh Univ. Press (1970) 59-78.
    • (1970) Machine Intelligence , vol.5 , pp. 59-78
    • Park, D.M.R.1
  • 27
    • 84959758164 scopus 로고
    • Commutative regular equations and Parikh's theorem
    • D.L. Pilling, Commutative regular equations and Parikh's theorem. J. London Math. Soc. 6 (1973) 663-666.
    • (1973) J. London Math. Soc. , vol.6 , pp. 663-666
    • Pilling, D.L.1
  • 28
    • 0000257607 scopus 로고
    • On the algebra of commutative events
    • (Russian)
    • V.N. Redko, On the algebra of commutative events. (Russian) Ukrain. Mat. Ž. 16 (1964) 185-195.
    • (1964) Ukrain. Mat. Ž. , vol.16 , pp. 185-195
    • Redko, V.N.1
  • 30
    • 0014590808 scopus 로고
    • A characterization of Parikh's theorem and semilinear sets by commutative semigroups with length
    • I. Takanami and N. Honda, A characterization of Parikh's theorem and semilinear sets by commutative semigroups with length. Electron. Comm. Japan 52 (1969) 179-184.
    • (1969) Electron. Comm. Japan , vol.52 , pp. 179-184
    • Takanami, I.1    Honda, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.