arademaker / alc-lean

Formalization of ALC Logic in LEAN Prover

Formalizing ALC in Lean Prover

Team

• Alexandre Rademaker
• João Bregunci

Links

• http://leanprover.github.io
• http://dl.kr.org
• http://arademaker.github.io/bibliography/phdthesis-4.html

References

• http://arademaker.github.io/files/thesis.pdf
• https://arxiv.org/pdf/1910.01697.pdf
• https://github.com/maxd13/logic-soundness
• http://www.cs.us.es/~mjoseh/alc/ , https://link.springer.com/article/10.1007/s10817-013-9291-8 and https://core.ac.uk/download/pdf/158965276.pdf
• https://github.com/leanprover/lean/blob/72a965986fa5aeae54062e98efb3140b2c4e79fd/tests/lean/run/soundness.lean and https://arxiv.org/abs/1503.08744 (soundness.lean)
• constructive DL: http://arademaker.github.io/files/hylo-2010.pdf
• https://leanprover.github.io/theorem_proving_in_lean/

previous works on modal logics

• https://github.com/paulaneeley/modal
• https://github.com/bbentzen/mpl
• https://drops.dagstuhl.de/opus/volltexte/2019/11086/
• https://lean-forward.github.io/lean-together/2019/slides/hudon.pdf
• https://leanprover.zulipchat.com/#narrow/stream/113489-new-members/topic/Modal.20logic