Exploring Formalisation
Exploring Formalisation:
A Primer in Human-readable Mathematics in Lean 3 With Examples from Simplicial Topology
English | 2022 | ISBN: 3031146484 | 152 Pages | PDF | 2 MB
A Primer in Human-readable Mathematics in Lean 3 With Examples from Simplicial Topology
English | 2022 | ISBN: 3031146484 | 152 Pages | PDF | 2 MB
After a quick introduction to Lean, the basic techniques of human-readable formalisation are introduced, illustrated by simple examples on maps, induction and real numbers. Subsequently, typical design options are discussed and brought to life through worked examples in the setting of simplicial complexes (a higher-dimensional generalisation of graph theory). Finally, the book demonstrates how current research in algebraic and geometric topology can be formalised by means of suitable abstraction layers.