Title
Matching logic explained
Abstract
Matching logic was recently proposed as a unifying logic for specifying and reasoning about static structure and dynamic behavior of programs. In matching logic, patterns and specifications are used to uniformly represent mathematical domains (such as numbers and Boolean values), datatypes, and transition systems, whose properties can be reasoned about using one fixed matching logic proof system. In this paper we give a tutorial of matching logic. We use a suite of examples to explain the basic concepts of matching logic and show how to capture many important mathematical domains, datatypes, and transition systems using patterns and specifications. We put emphasis on the general principles of induction and coinduction in matching logic and show how to do inductive and coinductive reasoning about datatypes and codatatypes. To encourage the future tools development for matching logic, we propose and use throughout the paper a human-readable formal syntax to write specifications in a modular and compact way.
Year
DOI
Venue
2021
10.1016/j.jlamp.2021.100638
Journal of Logical and Algebraic Methods in Programming
Keywords
DocType
Volume
Matching logic,Program logics,(co)inductive data types,Dependent types,Specification of transition systems,(co)monad specification
Journal
120
ISSN
Citations 
PageRank 
2352-2208
1
0.40
References 
Authors
0
3
Name
Order
Citations
PageRank
Xiaohong Chen111.07
Dorel Lucanu229535.07
Grigore Rosu33173183.45