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20212025
most citedFormalising Geometric Axioms for Minkowski Spacetime and Without-Loss-of-Generality Theorems

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

cs.LO2025

GradSTL: Comprehensive Signal Temporal Logic for Neurosymbolic Reasoning and Learning

Mark Chevallier, Filip Smola, Richard Schmoetten +1

We present GradSTL, the first fully comprehensive implementation of signal temporal logic (STL) suitable for integration with neurosymbolic learning. In particular, GradSTL can suc…

cs.AI2025

Formally Verified Neurosymbolic Trajectory Learning via Tensor-based Linear Temporal Logic on Finite Traces

Mark Chevallier, Filip Smola, Richard Schmoetten +1

We present a novel formalisation of tensor semantics for linear temporal logic on finite traces (LTLf), with formal proofs of correctness carried out in the theorem prover Isabelle…

cs.LO2024

A Construction of the Lie Algebra of a Lie Group in Isabelle/HOL

Richard Schmoetten, Jacques D. Fleuriot

This paper describes a formal theory of smooth vector fields, Lie groups and the Lie algebra of a Lie group in the theorem prover Isabelle. Lie groups are abstract structures that…

cs.LO2022★ 1 cited

Formalising Geometric Axioms for Minkowski Spacetime and Without-Loss-of-Generality Theorems

Richard Schmoetten, Jake Palmer, Jacques Fleuriot

This contribution reports on the continued formalisation of an axiomatic system for Minkowski spacetime (as used in the study of Special Relativity) which is closer in spirit to Hi…

cs.LO2021

Towards Formalising Schutz' Axioms for Minkowski Spacetime in Isabelle/HOL

Richard Schmoetten, Jake E. Palmer, Jacques D. Fleuriot

Special Relativity is a cornerstone of modern physical theory. While a standard coordinate model is well-known and widely taught today, several alternative systems of axioms exist.…