## Elementary constructive operational set theory. To appear in: Festschrift for Wolfram Pohlers, Ontos Verlag

Citations: | 2 - 0 self |

### BibTeX

@MISC{Cantini_elementaryconstructive,

author = {A. Cantini and L. Crosilla and Dedicated Prof and Wolfram Pohlers},

title = {Elementary constructive operational set theory. To appear in: Festschrift for Wolfram Pohlers, Ontos Verlag},

year = {}

}

### OpenURL

### Abstract

Abstract. We introduce an operational set theory in the style of [5] and [17]. The theory we develop here is a theory of constructive sets and operations. One motivation behind constructive operational set theory is to merge a constructive notion of set ([1], [2]) with some aspects which are typical of explicit mathematics [14]. In particular, one has non-extensional operations (or rules) alongside extensional constructive sets. Operations are in general partial and a limited form of self–application is permitted. The system we introduce here is a fully explicit, finitely axiomatised system of constructive sets and operations, which is shown to be as strong as HA. 1.