A formally verified prover for the ALC description logic in PVS

Title:	A formally verified prover for the ALC description logic.
Authors:	José A. Alonso, María J. Hidalgo, Francisco J. Martín and José L. Ruiz Reina.
Date:	2005-2007
Description:	The developed work consist of two phases: This theory is a PVS specification of a prover for the ALC description logic, as well as the proofs of its termination, soundness and completeness. We use the previous formalization of the well--foundedness of the multiset relation induced by a well--founded relation to prove the termination and the completeness of the ALC prover. In this theory we develop the construction of a formally verified generic tableau-based algorithm for checking satisfiability of ALC-concepts, from the previous generic framework. We do it using a methodology of refinements to transfer the properties from the framework to the algorithm. We also obtain some verified reasoners from the algorithm by a process of instantiation.
Code:	You can find the PVS theories in ...
Documentation:	Papers and reports related with this work: A formally verified prover for the ALC description logic. A formally verified prover for the ALC description logic. A formally verified prover for the ALC description logic.