메뉴 건너뛰기




Volumn 147, Issue 1-2, 2007, Pages 23-47

First-order Gödel logics

Author keywords

Axiomatizability; G del logics; Intuitionistic logic

Indexed keywords


EID: 34249295532     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apal.2007.03.001     Document Type: Article
Times cited : (57)

References (31)
  • 1
    • 0001944480 scopus 로고    scopus 로고
    • Infinite-valued Gödel logics with 0-1-projections and relativizations
    • Proc. Gödel'96, Logic Foundations of Mathematics, Computer Science and Physics - Kurt Gödel's Legacy. Hájek P. (Ed), Springer
    • Baaz M. Infinite-valued Gödel logics with 0-1-projections and relativizations. In: Hájek P. (Ed). Proc. Gödel'96, Logic Foundations of Mathematics, Computer Science and Physics - Kurt Gödel's Legacy. Lecture Notes in Logic vol. 6 (1996), Springer 23-33
    • (1996) Lecture Notes in Logic , vol.6 , pp. 23-33
    • Baaz, M.1
  • 2
    • 84885220332 scopus 로고    scopus 로고
    • A Schütte-Tait style cut-elimination proof for first-order Gödel logic
    • Automated Reasoning with Analytic Tableaux and Related Methods. tableaux 2002, Proceedings, Springer
    • Baaz M., and Ciabattoni A. A Schütte-Tait style cut-elimination proof for first-order Gödel logic. Automated Reasoning with Analytic Tableaux and Related Methods. tableaux 2002, Proceedings. LNAI vol. 2381 (2002), Springer 24-38
    • (2002) LNAI , vol.2381 , pp. 24-38
    • Baaz, M.1    Ciabattoni, A.2
  • 3
    • 84937391021 scopus 로고    scopus 로고
    • Herbrand's theorem for prenex Gödel logic and its consequences for theorem proving
    • Logic for Programming and Automated Reasoning. LPAR 2001. Proceedings, Springer, Cuba
    • Baaz M., Ciabattoni A., and Fermüller C.G. Herbrand's theorem for prenex Gödel logic and its consequences for theorem proving. Logic for Programming and Automated Reasoning. LPAR 2001. Proceedings. LNAI vol. 2250 (2001), Springer, Cuba 201-216
    • (2001) LNAI , vol.2250 , pp. 201-216
    • Baaz, M.1    Ciabattoni, A.2    Fermüller, C.G.3
  • 4
    • 23044523696 scopus 로고    scopus 로고
    • Quantified propositional Gödel logic
    • Voronkov A., and Parigot M. (Eds). 7th International Conference, LPAR 2000, Springer, Berlin INAI 1955
    • Baaz M., Ciabattoni A., and Zach R. Quantified propositional Gödel logic. In: Voronkov A., and Parigot M. (Eds). Logic for Programming and Automated Reasoning. 7th International Conference, LPAR 2000 (2000), Springer, Berlin 240-256 INAI 1955
    • (2000) Logic for Programming and Automated Reasoning , pp. 240-256
    • Baaz, M.1    Ciabattoni, A.2    Zach, R.3
  • 6
    • 84957623443 scopus 로고    scopus 로고
    • Incompleteness of an infinite-valued first-order Gödel logic and of some temporal logics of programs
    • Börger E. (Ed), Springer, Berlin
    • Baaz M., Leitsch A., and Zach R. Incompleteness of an infinite-valued first-order Gödel logic and of some temporal logics of programs. In: Börger E. (Ed). Computer Science Logic. Selected Papers from CSL'95 (1996), Springer, Berlin 1-15
    • (1996) Computer Science Logic. Selected Papers from CSL'95 , pp. 1-15
    • Baaz, M.1    Leitsch, A.2    Zach, R.3
  • 7
    • 0345983355 scopus 로고    scopus 로고
    • Completeness of a first-order temporal logic with time-gaps
    • Baaz M., Leitsch A., and Zach R. Completeness of a first-order temporal logic with time-gaps. Theoretical Computer Science 160 1-2 (1996) 241-270
    • (1996) Theoretical Computer Science , vol.160 , Issue.1-2 , pp. 241-270
    • Baaz, M.1    Leitsch, A.2    Zach, R.3
  • 8
    • 0038495659 scopus 로고    scopus 로고
    • Characterization of the axiomatizable prenex fragments of first-order Gödel logics
    • May 2003, Tokyo, Japan, Proceedings, IEEE Press, Los Alamitos
    • Baaz M., Preining N., and Zach R. Characterization of the axiomatizable prenex fragments of first-order Gödel logics. 33rd International Symposium on Multiple-valued Logic. May 2003, Tokyo, Japan, Proceedings (2003), IEEE Press, Los Alamitos 175-180
    • (2003) 33rd International Symposium on Multiple-valued Logic , pp. 175-180
    • Baaz, M.1    Preining, N.2    Zach, R.3
  • 9
    • 33751056190 scopus 로고    scopus 로고
    • Completeness of a hypersequent calculus for some first-order Gödel logics with delta
    • May 2006, Singapore, Proceedings, IEEE Press, Los Alamitos
    • Baaz M., Preining N., and Zach R. Completeness of a hypersequent calculus for some first-order Gödel logics with delta. 36th International Symposium on Multiple-valued Logic. May 2006, Singapore, Proceedings (2006), IEEE Press, Los Alamitos
    • (2006) 36th International Symposium on Multiple-valued Logic
    • Baaz, M.1    Preining, N.2    Zach, R.3
  • 10
    • 33751054979 scopus 로고    scopus 로고
    • An axiomatization of quantified propositional Gödel logic using the Takeuti-Titani rule
    • Proceedings of the Logic Colloquium '98. Buss S., Hájek P., and Pudlák P. (Eds). Prague, ASL
    • Baaz M., and Veith H. An axiomatization of quantified propositional Gödel logic using the Takeuti-Titani rule. In: Buss S., Hájek P., and Pudlák P. (Eds). Proceedings of the Logic Colloquium '98. Prague. LNL vol. 13 (2000), ASL 74-87
    • (2000) LNL , vol.13 , pp. 74-87
    • Baaz, M.1    Veith, H.2
  • 11
    • 0031625795 scopus 로고    scopus 로고
    • Compact propositional Gödel logics
    • May 1998, Fukuoka, Japan, Proceedings, IEEE Press, Los Alamitos
    • Baaz M., and Zach R. Compact propositional Gödel logics. 28th International Symposium on Multiple-valued Logic. May 1998, Fukuoka, Japan, Proceedings (1998), IEEE Press, Los Alamitos 108-113
    • (1998) 28th International Symposium on Multiple-valued Logic , pp. 108-113
    • Baaz, M.1    Zach, R.2
  • 12
    • 21244461424 scopus 로고    scopus 로고
    • Hypersequents and the proof theory of intuitionistic fuzzy logic
    • Computer Science Logic. Clote P.G., and Schwichtenberg H. (Eds). CSL'2000, Proceedings, Springer
    • Baaz M., and Zach R. Hypersequents and the proof theory of intuitionistic fuzzy logic. In: Clote P.G., and Schwichtenberg H. (Eds). Computer Science Logic. CSL'2000, Proceedings. LNCS vol. 1862 (2000), Springer 178-201
    • (2000) LNCS , vol.1862 , pp. 178-201
    • Baaz, M.1    Zach, R.2
  • 13
    • 34249281702 scopus 로고    scopus 로고
    • A. Beckmann, M. Goldstern, N. Preining, Continuous Fraïssé conjecture, Order (submitted for publication)
  • 15
    • 18244398926 scopus 로고    scopus 로고
    • A proof-theoretical investigation of global intuitionistic (fuzzy) logic
    • Ciabattoni A. A proof-theoretical investigation of global intuitionistic (fuzzy) logic. Archive of Mathematical Logic 44 (2005) 435-457
    • (2005) Archive of Mathematical Logic , vol.44 , pp. 435-457
    • Ciabattoni, A.1
  • 16
    • 0001826588 scopus 로고
    • A propositional logic with denumerable matrix
    • Dummett M. A propositional logic with denumerable matrix. Journal of Symbolic Logic 24 (1959) 96-107
    • (1959) Journal of Symbolic Logic , vol.24 , pp. 96-107
    • Dummett, M.1
  • 19
    • 33745459445 scopus 로고    scopus 로고
    • A non-arithmetical Gödel logic
    • Hájek P. A non-arithmetical Gödel logic. Logic Journal of the IGPL 13 4 (2005) 435-441
    • (2005) Logic Journal of the IGPL , vol.13 , Issue.4 , pp. 435-441
    • Hájek, P.1
  • 20
    • 0000323648 scopus 로고
    • Logic with truth values in a linearly ordered Heyting algebra
    • Horn A. Logic with truth values in a linearly ordered Heyting algebra. Journal of Symbolic Logic 34 3 (1969) 395-409
    • (1969) Journal of Symbolic Logic , vol.34 , Issue.3 , pp. 395-409
    • Horn, A.1
  • 23
    • 84954424083 scopus 로고    scopus 로고
    • Gödel logics and Cantor-Bendixon analysis
    • Logic for Programming and Automated Reasoning. Baaz M., and Voronkov A. (Eds). LPAR 2002, Proceedings, Springer
    • Preining N. Gödel logics and Cantor-Bendixon analysis. In: Baaz M., and Voronkov A. (Eds). Logic for Programming and Automated Reasoning. LPAR 2002, Proceedings. LNAI vol. 2514 (2002), Springer 327-336
    • (2002) LNAI , vol.2514 , pp. 327-336
    • Preining, N.1
  • 24
    • 34249283811 scopus 로고    scopus 로고
    • N. Preining, Complete recursive axiomatizability of Gödel logics, Ph.D. Thesis, Vienna University of Technology, Austria, 2003
  • 26
    • 0001072945 scopus 로고
    • Die Nichtaxiomatisierbarkeit des unendlichwertigen Prädikatenkalküls von Łukasiewicz
    • Scarpellini B. Die Nichtaxiomatisierbarkeit des unendlichwertigen Prädikatenkalküls von Łukasiewicz. Journal of Symbolic Logic 27 (1962) 159-170
    • (1962) Journal of Symbolic Logic , vol.27 , pp. 159-170
    • Scarpellini, B.1
  • 27
    • 23844542162 scopus 로고
    • Another proof of the strong completeness of the intuitionistic fuzzy logic
    • Takano M. Another proof of the strong completeness of the intuitionistic fuzzy logic. Tsukuba Journal of Mathematics 11 1 (1987) 101-105
    • (1987) Tsukuba Journal of Mathematics , vol.11 , Issue.1 , pp. 101-105
    • Takano, M.1
  • 28
    • 0000486524 scopus 로고
    • Intuitionistic fuzzy logic and intuitionistic fuzzy set theory
    • Takeuti G., and Titani S. Intuitionistic fuzzy logic and intuitionistic fuzzy set theory. Journal of Symbolic Logic 49 (1984) 851-866
    • (1984) Journal of Symbolic Logic , vol.49 , pp. 851-866
    • Takeuti, G.1    Titani, S.2
  • 31
    • 34249319160 scopus 로고    scopus 로고
    • How much must an order theorist forget to become a topologist?
    • Verlag Johannes Heyn, Klagenfurt, Austria
    • Winkler R. How much must an order theorist forget to become a topologist?. Contributions of General Algebra 12, Proc. of the Vienna Conference (1999), Verlag Johannes Heyn, Klagenfurt, Austria 420-433
    • (1999) Contributions of General Algebra 12, Proc. of the Vienna Conference , pp. 420-433
    • Winkler, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.