13 citations · 72 across the 24 of their papers we have counts for
30 papers
A Gödel Calculus for Linear Temporal Logic
Juan Pablo Aguilera, Martín Diéguez, David Fernández-Duque +1
We consider Gödel temporal logic (), a variant of linear temporal logic based on Gödel--Dummett propositional logic. In recent work, we have shown this logic to enjoy natu…
Arithmetical and Hyperarithmetical Worm Battles
David Fernández-Duque, Joost J. Joosten, Fedor Pakhomov +2
Japaridze's provability logic has one modality for each natural number and has been used by Beklemishev for a proof theoretic analysis of Peano aritmetic and rel…
Complete Intuitionistic Temporal Logics in Topological Dynamics
Joseph Boudou, Martín Diéguez, David Fernández-Duque
The language of linear temporal logic can be interpreted over the class of dynamic topological systems, giving rise to the intuitionistic temporal logic ${{\sf ITL}^{\sf c}}_{\Diam…
Frame-validity games and lower bounds on the complexity of modal axioms
Philippe Balbiani, David Fernández-Duque, Andreas Herzig +1
We introduce frame-equivalence games tailored for reasoning about the size, modal depth, number of occurrences of symbols and number of different propositional variables of modal f…
An intuitionistic axiomatization of `eventually'
Martín Diéguez, David Fernández-Duque
Boudou and the authors have recently introduced the intuitionistic temporal logic and shown it to be decidable. In this article we show that the `henceforth'-free fragm…
Bisimulations for intuitionistic temporal logics
Philippe Balbiani, Joseph Boudou, Marín Diéguez +1
We introduce bisimulations for the logic with `next', `until' and `release', an intuitionistic temporal logic based on structures equipped with a partial order used to inte…