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Volumn 62, Issue 4, 1997, Pages 1280-1296

Undecidable extensions of Büchi arithmetic and Cobham-Semenov theorem

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EID: 0031315943     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2307/2275643     Document Type: Article
Times cited : (24)

References (15)
  • 4
    • 0000157608 scopus 로고
    • On the base-dependance of sets of numbers recognizable by finite automata
    • A. COBHAM, On the base-dependance of sets of numbers recognizable by finite automata, Mathematical Systems Theory, vol. 3 (1969), pp. 186-192.
    • (1969) Mathematical Systems Theory , vol.3 , pp. 186-192
    • Cobham, A.1
  • 9
    • 0000020888 scopus 로고    scopus 로고
    • Open problems on Büchi and Presburger arithmetics
    • European Logic Colloquium, Oxford University Press
    • C. MICHAUX and R. VILLEMAIRE, Open problems on Büchi and Presburger arithmetics, Logic: From foundations to applications, European Logic Colloquium, Oxford University Press, 1996, pp. 353-383.
    • (1996) Logic: From Foundations to Applications , pp. 353-383
    • Michaux, C.1    Villemaire, R.2
  • 10
    • 0001994111 scopus 로고    scopus 로고
    • Presburger arithmetic and recognizability of sets of natural numbers by automata: New proofs of Cobham's and Semenov's theorems
    • _, Presburger arithmetic and recognizability of sets of natural numbers by automata: new proofs of Cobham's and Semenov's theorems, Annals of Pure and Applied Logic, vol. 77 (1996), pp. 251-277.
    • (1996) Annals of Pure and Applied Logic , vol.77 , pp. 251-277
  • 12
    • 0010720433 scopus 로고
    • The Presburger nature of predicates that are regular in two number systems
    • A. L. SEMENOV, The Presburger nature of predicates that are regular in two number systems, Siberian Mathematics Journal, vol. 18 (1977), no. 2, pp. 289-299.
    • (1977) Siberian Mathematics Journal , vol.18 , Issue.2 , pp. 289-299
    • Semenov, A.L.1
  • 13
    • 0002440613 scopus 로고
    • A note on undecidable extensions of monadic second order successor arithmetic
    • W. THOMAS, A note on undecidable extensions of monadic second order successor arithmetic, Archive for Mathematical Logic, vol. 17 (1975), pp. 43-44.
    • (1975) Archive for Mathematical Logic , vol.17 , pp. 43-44
    • Thomas, W.1
  • 15
    • 0026998905 scopus 로고
    • l〉 is undecidable
    • l〉 is undecidable, Theoretical Computer Science, vol. 106 (1992), pp. 337-349.
    • (1992) Theoretical Computer Science , vol.106 , pp. 337-349


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.