The field of large language models (LLMs) is moving towards improving their reasoning capabilities and trustworthiness. Recent studies have highlighted the limitations of LLMs in detecting logical fallacies, hallucinations, and factual inconsistencies. To address these issues, researchers are exploring new methods such as knowledge-augmented models, posterior-constrained inference, and multi-path reasoning mechanisms. These approaches aim to enhance the transparency and reliability of LLMs, enabling them to provide more accurate and trustworthy outputs. Noteworthy papers in this area include 'Follow My Lead: Logical Fallacy Classification with Knowledge-Augmented LLMs' and 'Audit-of-Understanding: Posterior-Constrained Inference for Mathematical Reasoning in Language Models', which demonstrate significant improvements in LLM reasoning and factuality evaluation.