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.

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 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) ] alices 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 textfile" 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 Examples.hs and the Bench folder.

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)

Experimental Stuff

SMCDEL.Other.NonS5 implements general knowledge structures. They are equivalent to Kripke models which are not based on equivalence relations.