Continuous Semantics for Strong Normalization

نویسنده

  • Ulrich Berger
چکیده

We prove a general strong normalization theorem for higher type rewrite systems based on Tait’s strong computability predicates and a strictly continuous domain-theoretic semantics. The theorem applies to extensions of Gödel’s system T , but also to various forms of bar recursion for which strong normalization was hitherto unknown.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Continuous Semantics for Termination Proofs

We prove a general strong normalization theorem for higher type rewrite systems based on Tait’s strong computability predicates and a strictly continuous domain-theoretic semantics. The theorem applies to extensions of Gödel’s system T , but also to various forms of bar recursion for which strong normalization was hitherto unknown.

متن کامل

Continuous semantics for strong normalisation

We prove a general strong normalisation theorem for higher type rewrite systems based on Tait's strong computability predicates and a strictly continuous domain-theoretic semantics. The theorem applies to extensions of Gödel's system T , but also to various forms of barrecursion for which strong normalisation was hitherto unknown.

متن کامل

Continuous Normalization for the Lambda-Calculus and Gödel’s T

Building on previous work by Mints, Buchholz and Schwichtenberg, a simplified version of continuous normalization for the untyped λ-calculus and Gödel’s T is presented and analyzed in the coalgebraic framework of non-wellfounded terms with so-called repetition constructors. The primitive recursive normalization function is uniformly continuous w.r.t. the natural metric on non-wellfounded terms....

متن کامل

Semantics with Intersection Types ∗ Steffen

2 Approximation and normalization results 9 2.1 Approximants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2 Approximation result . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.3 Principal pairs and Semantics . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.4 Normalization results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15...

متن کامل

A Semantic Normalization Proof for System T

Semantics methods have been used to prove cut elimination theorems for a long time. It is only recently that they have been extended to prove strong normalization results. For instance using the notion of super-consistency that is a semantic criterion for theories expressed in deduction modulo implying strong normalization. However, the strong normalization of System T has always been reluctant...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005