5 citations · 8 across the 7 of their papers we have counts for
10 papers
Natural Language Proof Checking in Introduction to Proof Classes -- First Experiences with Diproche
Merlin Carl, Hinrich Lorenzen, Michael Schmitz
We present and analyze the employment of the Diproche system, a natural language proof checker, within a one-semester mathematics beginners lecture with 228 participants. The syste…
What is worthy of investigation? Philosophical attitudes and their impact on mathematical development by the example of discovering 10-adic numbers
Merlin Carl, Michael Schmitz
We describe in dialogue form a possible way of discovering and investigating 10-adic numbers starting from the naive question about a `largest natural number'. Among the topics we…
Randomising Realisability
Merlin Carl, Lorenzo Galeotti, Robert Passmann
We consider a randomised version of Kleene's realisability interpretation of intuitionistic arithmetic in which computability is replaced with randomised computability with positiv…
Automatized Evaluation of Formalization Exercises in Mathematics
Merlin Carl
We describe two systems for supporting beginner students in acquiring basic skills in expressing statements in the formalism of first-order predicate logic; the first, called "math…
Number Theory and Axiomatic Geometry in the Diproche System
Merlin Carl
Diproche ("Didactical Proof Checking") is an automatic system for supporting the acquistion of elementary proving skills in the initial phase of university education in mathematics…
Resetting Infinite Time Blum-Shub-Smale-Machines
Merlin Carl, Lorenzo Galeotti
In this paper, we study strengthenings of Infinite Times Blum-Shub-Smale-Machines (ITBMs) that were proposed by Seyfferth in [14] and Welch in [15] obtained by modifying the behavi…