摘要

This paper presents a bijection between combinatorial maps and a class of enriched trees, corresponding to a class of expression trees in some logical systems (constrained lambda terms). Starting from two alternative definitions of combinatorial maps: the classical definition by gluing half-edges, and a definition by non-ambiguous depth-first traversal, we derive non-trivial asymptotic expansions and efficient random generation of logic formulae (syntactic trees) in the BCI or BCK systems.

  • 出版日期2013-9-2