Titlebook: λ-Calculus and Computer Science Theory; Proceedings of the S C. Böhm Conference proceedings 1975 Springer-Verlag Berlin Heidelberg 1975 Inf

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Lecture Notes in Computer ScienceThe paper tries to answer the question: What is the relation between class abstraction and λ-abstraction in models for the λ-calculus?

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https://doi.org/10.1007/3-540-44647-8This paper discusses the problem of finding common instances to terms in typed λ-calculus. It is shown that here the notion of most general unifier must be extended. Complete sets of unifiers are defined, and their structure with respect to substitution composition is studied.

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Advances in Cryptology - CRYPTO 2002The purpose of this work is to show a necessary and sufficient condition by which two combinators (elements of a particular model of combinatory logic) can be identified without introducing contradictions with the axioms of combinatory logic itself.

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Mihir Bellare,Roch Guérin,Phillip Rogaway-name mechanisms yield the least fixed points of the functionals determined by the bodies of the procedures concerned. These functionals differ, however, according to the mechanism chosen. A careful and detailed presentation of this result is given, along the lines of a simple typed lambda calculus,

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Oded Goldreich,Shafi Goldwasser,Shai Halevi, Λ, onto a partially ordered set, ℂ.. The D.-value of X ε Λ is characterized by C(X) ε ℂ.. Extending the syntactical structure of ℂ. into ℂ., we generalize Λ to Λ., the infinite λ-expressions. The lattice topology of Λ and Λ. induced by D. is equivalent to the lattice topology of ℂ. Since ℂ. is ded

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https://doi.org/10.1007/BFb0055715tion as in Scott [10,11] or Welch [15]. But with the help of the labelled calculus, any expression can be considered as the limit of expressions having a normal form. If we think of λ-expressions as programs, the interpretation <.> seems to be the minimal one to consider.Thus we expect that <.> is s

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Lecture Notes in Computer Science et quelles en sont les propriétés essentielles..Les résultats sont présentés dans la première partie de ce mémoire et démontrés dans la troisième; nous rappelons dans la seconde partie la définition des collections d‘algorithmes et certaines de leurs propriétés qui sont utilisées par la suite; nous