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  • SV40 transformation  (1)
  • formal mathematics  (1)
  • proof checking  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Some Lambda Calculus and Type Theory Formalized (1999)
    Springer
    Journal of automated reasoning 23 (1999), S. 373-409 
    Details
    ISSN: 1573-0670
    Keywords: formal mathematics ; lambda calculus ; Pure Type Systems ; type theory ; LEGO proof checker
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract We survey a substantial body of knowledge about lambda calculus and Pure Type Systems, formally developed in a constructive type theory using the LEGO proof system. On lambda calculus, we work up to an abstract, simplified proof of standardization for beta reduction that does not mention redex positions or residuals. Then we outline the meta theory of Pure Type Systems, leading to the strengthening lemma. One novelty is our use of named variables for the formalization. Along the way we point out what we feel has been learned about general issues of formalizing mathematics, emphasizing the search for formal definitions that are convenient for formal proof and convincingly represent the intended informal concepts.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006294005493
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Using typed lambda calculus to implement formal systems on a machine (1992)
    Springer
    Journal of automated reasoning 9 (1992), S. 309-354 
    Details
    ISSN: 1573-0670
    Keywords: Lambda calculus ; formal systems ; Edinburgh Logical Framework ; proof checking
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Much research has been devoted in building computer systems for checking proofs or for developing interactively correct proofs in specific logical systems. However, implementing a proof environment for a specific logical system is both complex and time-consuming, this-together with the proliferation of logics-suggests that a uniform and reliable alternative is desirable. One such alternative is the Edinburgh Logical Framework (LF), developed in the late eighties at the LFCS (Laboratory for Foundations of Computer Science). The LF is a logic-independent tool which, given a specification for a logical system, synthesizes a proof editor and checker for that system. Its specification language is based on a general theory of logics, which enables one to capture uniformities and idiosyncrasies of a large class of logics without sacrificing generality for tractability. Peculiarities (such as side conditions on rule application, variable occurrence or formula formation) are expressed at the level of the specification. In this paper we are going to provide a broad illustration of its applicability and discuss to what extent it is successful. The analysis (of the formal presentation) of a system carried out through encoding often illuminates the system itself. This paper will also deal with this phenomenon.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00245294
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Tumorigenicity of revertants from an SV40-transformed line (1979)
    New York, N.Y. : Wiley-Blackwell
    Journal of Supramolecular Structure 11 (1979), S. 539-546 
    Details
    ISSN: 0091-7419
    Keywords: SV40 transformation ; tumorigenicity ; anchorage independence ; Life Sciences ; Molecular Cell Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: A syndrome of in vitro properties correlates with the tumorigenicity of SV40-transformed rodent cells. These properties are plasminogen activator production, loss of large actin cables, and anchorage-independent growth. An established rat fibroblast line, its SV40 transformant, several T-antigen negative revertants, and a spontaneous retransformant isolated form one of the revertants were analyzed in vivo for their tumorigenicity and in vitro for the syndrome. The two transformed lines were highly tumorigenic, and had clearly abnormal in vitro properties. The parental rat line was weakly tumorigenic in nude mice and demonstrated a slightly transformed response in the in vitro assays. The revertants were completely nontumorigenic. Expression of the in vitro syndrome was not uniform for all revertants; however, most cell lines maintained the correlation of the syndrome and tumorigenicity.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/jss.400110412
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    Paper (German National Licenses)
    Fulltext
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