Open Problems and Challenges
(back to Grigore Rosu's webpage) (back to the Programming Language Design and Semantics webpage)
Here is a list of open problems and challenges in K and matching logic, in no particular order. While we are doing our best to keep this list actual, it may well be the case that some of the problems have been solved in the meanwhile or that we have found a different way to approach the problem. In case you are interested in working on any of these problems, please send us a note at (grosu@illinois.edu) to make sure that the problem is still actual and nobody is already working on it. If you are not part of our team already and would like to be or to collaborate with us, please let us know.

Dynamic matching logic.
Currently (Jan 2016), we are framing matching logic as a static logic, that is, as one for reasoning about program configurations at a particular place in the execution of a program:
 Matching Logic  Extended Abstract
 Grigore Rosu
RTA'15, Leibniz International Proceedings in Informatics (LIPIcs) 36, pp 521. 2015
PDF, Slides(PPTX), Matching Logic, DOI, RTA'15, BIB
 AllPath Reachability Logic
 Andrei Stefanescu and Stefan Ciobaca and Radu Mereuta and Brandon Moore and Traian Florin Serbanuta and Grigore Rosu
RTA'14, LNCS 8560, pp 425440. 2014
PDF, Slides(PPTX), Matching Logic, DOI, RTA'14, BIB
 OnePath Reachability Logic
 Grigore Rosu and Andrei Stefanescu and Stefan Ciobaca and Brandon Moore
LICS'13, IEEE, pp 358367. 2013
PDF, Slides(PPTX), Reachability Logic, LICS'13, BIB
 From Hoare Logic to Matching Logic Reachability
 Grigore Rosu and Andrei Stefanescu
FM'12, LNCS 7436, pp 387402. 2012
PDF, Slides(PPTX), Slides(PDF), Matching Logic, DOI, FM'12, BIB
 Unifying deductive program verification and model checking.
 Coinductive program verification.
 Formal Relationship between the Circularity proof rule and Coinduction.
 True concurrency with K.
 Rewritebased parsing.
 Fast execution engine.
 Semanticsbased compilation.
 Support full dynamic matching logic in K.
 Semanticsbased testcase generation.
 Symbolic execution framework.
 Symbolic model checking.
 Languageindependent infrastructure for program equivalence.
 C program portability checking.
 Verifying compiler optimizations and even complete compiler. LLVM.
 Strategy language.
 Systematic comparison of K with other operational approaches. K evolved from other approaches, systematically analyzing their advantages and disadvantages, and keeping the advantages and eliminating the disadvantages. This is partly explained in my book draft, but it needs to be also published as a conference/journal paper, for wider dissemination. Indeed, we have encountered many scientists who seem to think that K is some new theoretical development based on new principles. Well, sorry to disappoint, but K is an engineering endeavor attempting to get the best of the ideas developed by the formal semantics community over the last four decades, avoiding their limitations. The main novelties of K, besides its unique notation, are: (1) its concurrent semantics, which allows for true concurrency even in the presence of sharing; and (2) its configuration abstraction mechanism which is the key for more modular language definitions.
 Configuration abstraction.
 Defining/Implementing language translators/compilers in K. Translationvalidation style, or provably correct style, or both.
 Translations from K to other languages or formalisms. Maude, OCAML, Coq, Haskell, LLVM, etc. Both interpreters and compilers.
 Coq certification of proofs using K framework.
 Matching logic proof checker/certifier.
 Novel verification methodologies. Our verification approach opens the door for novel verification methodologies. Aspects, runtime verification.
It is already there, only needs to be written up.
So going through Coq is unnecessary.