Walter Felscher Book order

The book explores a method for deciding the deduction of quantified formulas in specific arithmetic fragments, particularly those involving order-plus-successor and order-plus-addition, known as Pressburger arithmetic. It introduces an algorithm for eliminating quantifiers, which is crucial for establishing consistency proofs in these arithmetic systems. This work offers significant insights into the foundations of propositional logic and its applications in mathematical reasoning.

Focusing on the linguistic transformation of statements in everyday arguments, this volume explores how such arguments can be understood as deductive situations or "sequents." It presents logical rules that govern these transformations, emphasizing their formal connections. The book culminates in the development of algorithms that yield results for Gentzen's midsequent theorem and Herbrand's theorem specifically for prenex formulas, offering a deep dive into the technical aspects of logical reasoning.