Title
The Effects of Effects on Constructivism.
Abstract
It is commonly understood that Countable Choice holds constructively due to the underlying computational nature of constructivism. However, in this paper we demonstrate that invoking different notions of computation result in radically different behaviors regarding Countable Choice. In particular, we illustrate that, although deterministic computation guarantees Countable Choice, non-deterministic computation can negate Countable Choice. We then further show that using stateful computation can restore Countable Choice even in the presence of non-determinism. This finding suggests that much of the modern discourse of constructivism assumes a deterministic underlying computational system, despite non-determinism being a fundamental aspect of modern-day computation.
Year
DOI
Venue
2019
10.1016/j.entcs.2019.09.006
Electronic Notes in Theoretical Computer Science
Keywords
Field
DocType
constructivism,effects,countable choice,non-determinism,stateful computation
Constructivism (philosophy of education),Countable set,Computer science,Theoretical computer science,Stateful firewall,Computation
Journal
Volume
ISSN
Citations 
347
1571-0661
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Liron Cohen13611.24
Sofia Abreu Faro200.34
Ross Tate3162.71