Further results and examples for formal mathematical systems with structural induction

TL;DR

This paper expands on a unified theory of formal mathematical systems with structural induction, providing additional results and examples to demonstrate its applicability across recursive systems, formal grammars, and predicate calculus.

Contribution

It introduces new results and illustrative examples that deepen understanding of the unified theory of formal systems with structural induction.

Findings

Demonstrates how the theory applies to recursive systems and formal grammars.

Provides examples illustrating the use of the structural induction principle.

Enhances understanding of formal systems including predicate calculus.

Abstract

In the former article "Formal mathematical systems including a structural induction principle" we have presented a unified theory for formal mathematical systems including recursive systems closely related to formal grammars, including the predicate calculus as well as a formal induction principle. In this paper we present some further results and examples in order to illustrate how this theory works.