The Challenge of Unifying Semantic and Syntactic Inference Restrictions

TL;DR

This paper explores the potential for unifying semantic and syntactic inference restrictions, which are crucial in expressive logics but have different advantages, aiming to enhance reasoning techniques.

Contribution

It analyzes the extent to which semantic and syntactic inference paradigms can be integrated, addressing a key challenge in logical reasoning systems.

Findings

Semantic and syntactic restrictions have complementary strengths.

Unification could lead to more efficient reasoning systems.

The paper discusses theoretical possibilities and limitations.

Abstract

While syntactic inference restrictions don't play an important role for SAT, they are an essential reasoning technique for more expressive logics, such as first-order logic, or fragments thereof. In particular, they can result in short proofs or model representations. On the other hand, semantically guided inference systems enjoy important properties, such as the generation of solely non-redundant clauses. I discuss to what extend the two paradigms may be unifiable.