Semantic and Syntactic Approaches to Simulation Relations [chapter]

Jo Hannay, Shin-ya Katsumata, Donald Sannella
2003 Lecture Notes in Computer Science  
Simulation relations are tools for establishing the correctness of data refinement steps. In the simply-typed lambda calculus, logical relations are the standard choice for simulation relations, but they suffer from certain shortcomings; these are resolved by use of the weaker notion of pre-logical relations instead. Developed from a syntactic setting, abstraction barrier-observing simulation relations serve the same purpose, and also handle polymorphic operations. Meanwhile, second-order
more » ... ical relations directly generalise pre-logical relations to polymorphic lambda calculus (System F). We compile the main refinement-pertinent results of these various notions of simulation relation, and try to raise some issues for aiding their comparison and reconciliation. ⋆
doi:10.1007/978-3-540-45138-9_4 fatcat:6ksjb7xqr5byvi4n277qcqsvhy