Logical frameworks and meta-languages form a common substrate for representing, implementing and reasoning about a wide variety of deductive systems of interest in logic and computer science. Their design, implementation and their use in reasoning tasks, ranging from the correctness of software to the properties of formal systems, have been the focus of considerable research over the last three decades. The LFMTP workshop brought together designers, implementors and practitioners to discuss various aspects impinging on the structure and utility of logical frameworks, including the treatment of variable binding, inductive and co-inductive reasoning techniques and the expressiveness and lucidity of the reasoning process. The 2024 instance of LFMTP was organized by Florian Rabe and Claudio Sacerdoti Coen in Tallinn, Estonia, the 8th July, as a satellite event of the FSCD conference. The workshop received 8 submissions, of which 6 were presented at the workshop. Of these, 2 were work-in-progress presentations, and 4 were accepted for these formal proceedings. Additionally, Carsten Sch\"urmann of IT University of Copenhagen gave an invited talk on Nominal State Separating Proofs.

翻译：逻辑框架与元语言为表示、实现和推理逻辑与计算机科学中各类演绎系统提供了通用基础。在过去三十年中，其设计实现以及在从软件正确性验证到形式系统性质证明等推理任务中的应用，一直是重点研究领域。LFMTP研讨会汇聚了设计者、实现者与实践者，共同探讨影响逻辑框架结构与实用性的多维度议题，包括变量绑定的处理方法、归纳与共归纳推理技术，以及推理过程的表达力与清晰度。2024年LFMTP研讨会由Florian Rabe与Claudio Sacerdoti Coen组织，于7月8日在爱沙尼亚塔林作为FSCD会议的卫星活动举行。本次研讨会共收到8篇投稿，其中6篇在会议上报告，包含2篇阶段性成果报告与4篇入选本正式论文集的论文。此外，哥本哈根IT大学的Carsten Schürmann作了题为"Nominal State Separating Proofs"的特邀报告。