SMCDEL

A symbolic model checker for Dynamic Epistemic Logic.

You can find a complete literate Haskell documentation in the file SMCDEL.pdf.

References

Johan van Benthem, Jan van Eijck, Malvin Gattinger, and Kaile Su: Symbolic Model Checking for Dynamic Epistemic Logic. In: Proceedings of The Fifth International Conference on Logic, Rationality and Interaction (LORI-V), 2015.

Johan van Benthem, Jan van Eijck, Malvin Gattinger, and Kaile Su: Symbolic Model Checking for Dynamic Epistemic Logic --- S5 and Beyond. Journal of Logic and Computation, 2017.

Malvin Gattinger: Towards Symbolic Factual Change in DEL. ESSLLI 2017 student session, 2017.

Malvin Gattinger: New Directions in Model Checking Dynamic Epistemic Logic. PhD thesis, ILLC, Amsterdam, 2018.

Online

You can try SMCDEL online here: https://w4eg.de/malvin/illc/smcdelweb/

Dependencies

• graphviz
• dot2tex

On Debian, just do sudo apt install graphviz dot2tex.

Basic usage

1. Use stack from https://www.stackage.org

• stack build will compile everything. This might fail if one of the BDD packages written in C and C++ is missing. In this case, install those manually and then try stack build again.

• stack install will put two executables smcdel and smcdel-web into ~/.local/bin which should be in your PATH variable.

2. Create a text file MuddyShort.smcdel.txt which describes the knowledge structure and the formulas you want to check for truth or validity:

   -- Three Muddy Children in SMCDEL
   VARS 1,2,3
   LAW  Top
   OBS  alice: 2,3
        bob:   1,3
        carol: 1,2
   WHERE?
     [ ! (1|2|3) ] alice knows whether 1
   VALID?
     [ ! (1|2|3) ]
     [ ! ((~ (alice knows whether 1)) & (~ (bob knows whether 2)) & (~ (carol knows whether 3))) ]
     [ ! ((~ (alice knows whether 1)) & (~ (bob knows whether 2)) & (~ (carol knows whether 3))) ]
     (alice,bob,carol) comknow that (1 & 2 & 3)
   

3. Run smcdel MuddyShort.smcdel.txt resulting in:

   >> smcdel MuddyShort.smcdel.txt
   SMCDEL 1.0 by Malvin Gattinger -- https://github.com/jrclogic/SMCDEL
   
   At which states is ... true?
   []
   [1]
   
   Is ... valid on the given structure?
   True
   

More example files are in the folder Examples.

Advanced usage

To deal with more complex models and formulas, use SMCDEL as a Haskell module.

Examples can be found in the folders src/SMCDEL/Examples and bench.

Used BDD packages

SMCDEL can be used with different BDD packages. To compile and run the benchmarks you will have to install all of them.

• Data.HasCacBDD which runs CacBDD from http://kailesu.net/CacBDD/
• Cudd (with some patches)