منابع مشابه
The Böhm-Jacopini Theorem Is False, Propositionally
The Böhm–Jacopini theorem (Böhm and Jacopini, 1966) is a classical result of program schematology. It states that any deterministic flowchart program is equivalent to a while program. The theorem is usually formulated at the first-order interpreted or first-order uninterpreted (schematic) level, because the construction requires the introduction of auxiliary variables. Ashcroft and Manna (1972)...
متن کاملËì - Calculus and Böhm ’ S Theorem
The-calculus is an extension of the-calculus that has been introduced by M Parigot to give an algorithmic content to classical proofs. We show that B ¨ ohm's theorem fails in this calculus. §1. Introduction. The-calculus (its typed and untyped versions) has been introduced by M. Parigot in [6]. Its typed version is an extension of the typed-calculus intended to give an algorithmic content to cl...
متن کاملWeak Typed Boehm Theorem on IMLL
In the Böhm theorem workshop on Crete island, Zoran Petric called Statman’s “Typical Ambiguity theorem” typed Böhm theorem. Moreover, he gave a new proof of the theorem based on set-theoretical models of the simply typed lambda calculus. In this paper, we study the linear version of the typed Böhm theorem on a fragment of Intuitionistic Linear Logic. We show that in the multiplicative fragment ...
متن کاملWeak Typed Böhm Theorem on IMLL
In the Böhm theorem workshop on Crete island, Zoran Petric called Statman’s “Typical Ambiguity theorem” typed Böhm theorem. Moreover, he gave a new proof of the theorem based on set-theoretical models of the simply typed lambda calculus. In this paper, we study the linear version of the typed Böhm theorem on a fragment of Intuitionistic Linear Logic. We show that in the multiplicative fragment ...
متن کاملRegular Böhm trees
Böhm trees are the natural infinite generalisations of normal forms in pure λ-calculus. They arose from the work of Böhm on separability (Böhm 1968), and were first identified by Barendregt, who devotes chapter 10 of his book (Barendregt 1980) to their study, and relates denotational models such as D∞ to appropriate quotients over Böhm trees. There is however no generally agreed presentation of...
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ژورنال
عنوان ژورنال: Electronic Notes in Theoretical Computer Science
سال: 2001
ISSN: 1571-0661
DOI: 10.1016/s1571-0661(04)00168-9