Computational ludics

Computational ludics

Type Theory in Ludics

We present some first steps in the more general setting of the interpretation of dependent type theory in Ludics. The framework is the following: a (Martin-Löf) type A is represented by a behaviour (which corresponds to a formula) in such a way that canonical elements of A are interpreted in a set that is principal for the behaviour, where principal means in some way a minimal generator. We int...

Ludics, dialogue and inferentialism

In this paper, we try to show that Ludics, a (pre-) logical framework invented by J-Y. Girard, enables us to rethink some of the relationships between Philosophy, Semantics and Pragmatics. In particular, Ludics helps to shed light on the nature of dialogue and to articulate features of Brandom’s inferentialism.

Ludics without Designs I: Triads

An orthodox introduction of a paper on ludics should begin as follows. First, the authors say what ludics is commonly intended to be: typically, they would say that it is a kind of game semantics which is close to the more popular categorical game models for linear logic and PCF introduced in the last twenty years. Having set up the context, then they could informally describe ludics as an unty...

Ludics and Anti-Realism

In this chapter we try to give a flavour of Ludics, a frame developed by Jean-Yves Girard on the basis of Linear Logic (cf [8, 9, 10]). Ludics seems to be very on purpose in a book devoted to logics and anti-realism because it makes no assumptions on the existence of the external world, in the sense that it does not require any ”model-theoretic” assumption (like the evidence of a concept of ”Tr...