# A Canonical Model for Constant Domain Basic First-Order Logic

**Authors:** Ben Middleton

arXiv: 1907.07013 · 2020-05-21

## TL;DR

This paper constructs a canonical model for constant domain basic first-order logic (BQLCD) and demonstrates that it satisfies key logical properties like disjunction and existence, advancing the understanding of BQLCD's foundational aspects.

## Contribution

The paper introduces a canonical model for BQLCD and verifies important logical properties, providing a foundational framework for this logic system.

## Key findings

- BQLCD satisfies disjunction property
- BQLCD satisfies existence property
- Canonical model effectively demonstrates these properties

## Abstract

I build a canonical model for constant domain basic first-order logic (BQLCD), the constant domain first-order extension of Visser's basic propositional logic, and use the canonical model to verify that BQLCD satisfies the disjunction and existence properties.

## Full text

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Source: https://tomesphere.com/paper/1907.07013