# SAT Modulo Monotonic Theories

@inproceedings{Bayless2015SATMM, title={SAT Modulo Monotonic Theories}, author={Sam Bayless and Noah Bayless and Holger H. Hoos and Alan J. Hu}, booktitle={AAAI}, year={2015} }

Boolean satisfiability (SAT) solvers have been successfully applied to a wide variety of difficult combinatorial problems. Many further problems can be solved by SAT Modulo Theory (SMT) solvers, which extend SAT solvers to handle additional types of constraints. However, building efficient SMT solvers is often very difficult. In this paper, we define the concept of a Boolean monotonic theory and show how to easily build efficient SMT solvers, including effective theory propagation and…

## 33 Citations

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### SAT-Based ATL Satisfiability Checking

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This paper puts forward a novel method for deciding the satisfiability of formulae of Alternating-time Temporal Logic (ATL), and expands on one for CTL exploit ing SAT Modulo Monotonic Theories solvers.

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