Composition of inverse problems with a given logical structure

TL;DR

This paper introduces a method for constructing inverse problems with specific logical structures, particularly disjunctive conclusions, and explores their models and equivalences under different conditions.

Contribution

It presents a novel approach to formulating inverse problems with prescribed logical structures and analyzes their models and equivalences.

Findings

Problems with disjunctive conclusions are systematically constructed.

Logical models of these problems are comprehensively interpreted.

Equivalent problem formulations are identified under different conditions.

Abstract

The paper presents a method for obtaining problems whose conclusions contain disjunctive propositions. These problems constitute a version of inverse problems with a given logical structure. The logical models in the groups of problems studied have been interpreted comprehensively. Equivalent problems have been given by keeping or not keeping the condition of homogeneity in their conclusion.