Normalization by gluing for free λ-theories

09/23/2018
by   Jonathan Sterling, et al.
0

The connection between normalization by evaluation, logical predicates and semantic gluing constructions is a matter of folklore, worked out in varying degrees within the literature. In this note, we present an elementary version of the gluing technique which corresponds closely with both semantic normalization proofs and the syntactic normalization by evaluation.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
12/22/2022

Normalization and coherence for ∞-type theories

We develop a technique for normalization for ∞-type theories. The normal...
research
01/27/2021

Normalization for Cubical Type Theory

We prove normalization for (univalent, Cartesian) cubical type theory, c...
research
08/24/2019

Dependent Pearl: Normalization by realizability

For those of us who generally live in the world of syntax, semantic proo...
research
10/07/2022

Strong Normalization for the Calculus of Constructions

The calculus of constructions (CC) is a core theory for dependently type...
research
02/21/2023

A Deforestation of Reducts: Refocusing

In a small-step semantics with a deterministic reduction strategy, refoc...
research
09/16/2018

Calculation of extended gcd by normalization

We propose a new algorithm solving the extended gcd problem, which provi...
research
02/11/2023

Coherence by Normalization for Linear Multicategorical Structures

We establish a formal correspondence between resource calculi and approp...

Please sign up or login with your details

Forgot password? Click here to reset