Towards nominal computation

Author:

Bojanczyk Mikolaj1,Braud Laurent1,Klin Bartek1,Lasota Slawomir1

Affiliation:

1. University of Warsaw, Warsaw, Poland

Abstract

Nominal sets are a different kind of set theory, with a more relaxed notion of finiteness. They offer an elegant formalism for describing lambda-terms modulo alpha-conversion, or automata on data words. This paper is an attempt at defining computation in nominal sets. We present a rudimentary programming language, called Nlambda. The key idea is that it includes a native type for finite sets in the nominal sense. To illustrate the power of our language, we write short programs that process automata on data words.

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design,Software

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Decidability Border for Petri Nets with Data: WQO Dichotomy Conjecture;Application and Theory of Petri Nets and Concurrency;2016

2. Denotational Semantics with Nominal Scott Domains;Journal of the ACM;2014-07

3. Nominal Groups and Their Homomorphism Theorems;Fundamenta Informaticae;2014

4. Nominal Coalgebraic Data Types with Applications to Lambda Calculus;Logical Methods in Computer Science;2013-12-11

5. Turing Machines with Atoms;2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science;2013-06

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