MC 2020

Model Counting aims to provide a venue for researchers working on model counting such as model counting (mc), weighted model counting/sum of products (wmc), projected model counting (pmc) within the realm but not restricting to Boolean satisfiability (SAT), satisfiability modulo theories (SMT), Answer set programming (ASP), and constraint programming (CP). It encourages to meet, communicate, and discuss the latest theoretical and practical results, in particular results on novel solvers, related solver technologies, new theoretical advances, practical academic and industrial applications as well as the linking theory and practice.

The competition intends to deepen the relationship between latest theoretical and practical development on the various model counting problems and their practical applications. It targets the problem of counting the number of models of a Boolean formula.

Organized workshops provide a place for developers of model counters to present their solvers, for organizers to provide detailed results on the model counting competition, for users of tools in the realm of model counting to illustrate their applications, and for theoretical researchers to present latest results on solving.


The success of solver technologies for declarative languages, such as SAT, in the last two decades is mainly due to both the availability of numerous efficient solver implementations and to the growing number of problems that can efficiently be solved through the declarative approach. Designing efficient solvers requires both understanding of the fundamental algorithms underlying the solvers, as well as in-depth insights into how to implement the algorithms for obtaining efficient and robust solvers.

Several competitive events are regularly organized for different declarative solving paradignms, including SAT competitions QBF evaluations, MaxSAT evaluations, SMT, ASP and CP competitions, etc., to evaluate available solvers on a wide range of problems. The winners of such events set regularly new standards in the area. If the systems themselves are widely spread, many details on their design or in their implementation can only be found in the source code of the systems.

The aim of the workshop is to allow researchers to share both fundamental theoretical insights into practical solvers, as well as new implementation-level insights and ‘gory’ technical details about their systems that may at times be difficult to publish in the main conferences on the declarative solving paradigms.

MC 2020 aims to identify new challenging benchmarks and to promote new solvers for the problem as well as to compare them with state-of-the-art solvers. The MC 2020 follows a direction in the community of constraint solving, where already many competitions have been organized such as on ASP (7 editions), CSP (19 editions), SAT (19 editions), SMT (14 editions), MaxSAT Evaluation (13 editions), QBF (8 editions).

Model Counting

Model counting is very vibrant field that provided both recent advances in theory as well as in practical solving including various applications. State-of-the-art SAT or WMC (weighted model counting) search engines so far rely on standard techniques from SAT-based solving, knowledge compilation, or approximate solving by means of sampling using SAT solvers. There have been also successful implementations for parallel and distributed computation as well as massively parallel computation approaches.