A survey of classical realizability
نویسندگان
چکیده
منابع مشابه
Quantitative classical realizability
Introduced by Dal Lago and Hofmann, quantitative realizability is a technique used to define models for logics based on Multiplicative Linear Logic. A particularity is that functions are interpreted as bounded time computable functions. It has been used to give new and uniform proofs of soundness of several type systems with respect to certain time complexity classes. We propose a reformulation...
متن کاملVerificationism and classical realizability
This paper investigates the question of whether Krivine’s classical realizability can provide a verificationist interpretation of classical logic. We argue that this kind of realizability can be considered an adequate candidate for this semantic role, provided that the notion of verification involved is no longer based on proofs, but on programs. On this basis, we show that a special reading of...
متن کاملRealizability in classical logic
The essential aim is to explore the Curry-Howard correspondence : we want to associate a program with each mathematical proof and to consider each theorem as a specification, i.e. to find the common behavior of the programs associated with every proof of this theorem. It is a very difficult and very interesting problem, which I call the ‘‘ specification problem ’’ in what follows. In the first ...
متن کاملA Realizability Interpretation for Classical Arithmetic
A constructive realizablity interpretation for classical arithmetic is presented, enabling one to extract witnessing terms from proofs of 1 sentences. The interpretation is shown to coincide with modified realizability, under a novel translation of classical logic to intuitionistic logic, followed by the Friedman-Dragalin translation. On the other hand, a natural set of reductions for classical...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Proceedings in Theoretical Computer Science
سال: 2013
ISSN: 2075-2180
DOI: 10.4204/eptcs.113.4