LFMTP 2025

LFMTP 2025

Scope

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 two decades. This workshop will bring 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.

LFMTP 2024 will provide researchers a forum to present state-of-the-art techniques and discuss progress in areas such as the following:

  • Design, Analysis, Implementation, Evaluation, and Application of logical frameworks like LF, Abella, Beluga, ELPI, Hybrid, lambdaPi, or MMT
  • Encoding and reasoning about the theory of programming languages, logical systems, type theories, and similar formal systems
  • Theoretical and practical issues concerning the treatment of variable binding such as higher-order abstract syntax, nominal logic, explicit substituations, or binding signatures
  • Representation and reasoning about features of logics and languages like equality, inductive and co-inductive definitions, inductive types of higher dimension, universes, as well as associated reasoning techniques
  • Frontiers of logical frameworks such as canonical and substructural frameworks, contextual frameworks, functional programming over logical frameworks, or homotopy and cubical type theory
  • Logical framework-based tools and services such as theorem proving, search tools, or IDEs
  • Two-level languages to program and reason over logics like tactic languages, reflection, or meta-programming in interactive provers such as LTac, ELPI, MetaCoq, Isabelle, and Lean’s meta-programming), including implementation and use cases
  • Graphical languages for building proofs, applications in geometry, equational reasoning and category theory.