Dialogical Logic and Constructive Type Theory: New Explorations

The present contribution delves into a recent development of the dialogical rules for type theory penned by Ansten Klev that arose from Per Martin-Löf’s take on assertoric knowledge as involved in the correctness criterion for assertion. The main aim of our paper is to set out the central steps towards a new Dialogical Framework called Immanent Reasoning II, which on the one hand integrates some of the CTT-rules developed by Klev, but on the other, develops further the general tenets of the dialogical perspective on meaning and logic. In contrast to Klev’s approach, IR-II contains rules that indicate how to develop plays and winning strategies for a thesis.