A SAT-based encoding of the one-pass and tree-shaped tableau system for LTL

L Geatti, N Gigante, A Montanari - … 2019, London, UK, September 3-5 …, 2019 - Springer
A new one-pass and tree-shaped tableau system for satisfiability checking has been
recently proposed, where each branch can be explored independently from others and …

Leviathan: A new LTL satisfiability checking tool based on a one-pass tree-shaped tableau

M Bertello, N Gigante, A Montanari… - IJCAI-International Joint …, 2016 - air.uniud.it
The paper presents Leviathan, an LTL satisfiability checking tool based on a novel one-
pass, tree-like tableau system, which is way simpler than existing solutions. Despite the …

An optimal on-the-fly tableau-based decision procedure for PDL-satisfiability

R Goré, F Widmann - International Conference on Automated Deduction, 2009 - Springer
We give an optimal (exptime), sound and complete tableau-based algorithm for deciding
satisfiability for propositional dynamic logic. Our main contribution is a sound method to track …

A solver for modal fixpoint logics

O Friedmann, M Lange - Electronic Notes in Theoretical Computer Science, 2010 - Elsevier
We present MLSolver, a tool for solving the satisfiability and validity problems for modal
fixpoint logics. The underlying technique is based on characterisations of satisfiability …

Completeness and decidability of converse PDL in the constructive type theory of Coq

C Doczkal, J Bard - Proceedings of the 7th ACM SIGPLAN International …, 2018 - dl.acm.org
The completeness proofs for Propositional Dynamic Logic (PDL) in the literature are non-
constructive and usually presented in an informal manner. We obtain a formal and …

Temporal Logic Specifications: Expressiveness, Satisfiability And Realizability

L Geatti - 2022 - air.uniud.it
The main topic of this thesis concerns temporal logics, with particular attention to their
expressive power and to the satisfiability and realizability problems. Temporal logics are …

Timeline-based planning: Expressiveness and complexity

N Gigante - arXiv preprint arXiv:1902.06123, 2019 - arxiv.org
Timeline-based planning is an approach originally developed in the context of space
mission planning and scheduling, where problem domains are modelled as systems made …

Terminating tableaux for hybrid logic with eventualities

M Kaminski, G Smolka - International Joint Conference on Automated …, 2010 - Springer
We present the first terminating tableau system for hybrid logic with eventualities. The
system is designed as a basis for gracefully degrading reasoners. Eventualities are formulas …

Implementing a relational theorem prover for modal logic

A Mora, E Muñoz-Velasco… - International Journal of …, 2011 - Taylor & Francis
An automatic theorem prover for a proof system in the style of dual tableaux for the relational
logic associated with modal logic has been introduced. Although there are many well-known …

[PDF][PDF] A Comparison of Solvers for Propositional Dynamic Logic.

U Hustadt, RA Schmidt - PAAR@ IJCAR, 2010 - intranet.csc.liv.ac.uk
Calculi for propositional dynamic logics have been investigated since the introduction of this
logic in the late seventies. Only in recent years have practical procedures been suggested …