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2025

Journal Article

New foundations of reasoning via real-valued first-order logics

Badia, Guillermo, Fagin, Ronald and Noguera, Carles (2025). New foundations of reasoning via real-valued first-order logics. The Bulletin of Symbolic Logic, 1-26. doi: 10.1017/bsl.2024.56

New foundations of reasoning via real-valued first-order logics

2025

Journal Article

Asymptotic truth-value laws in many-valued logics

Badia, Guillermo, Caicedo, Xavier and Noguera, Carles (2025). Asymptotic truth-value laws in many-valued logics. The Journal of Symbolic Logic, 1-23. doi: 10.1017/jsl.2024.46

Asymptotic truth-value laws in many-valued logics

2025

Journal Article

A modular bisimulation characterisation for fragments of hybrid logic

Badia, Guillermo, Gaina, Daniel, Knapp, Alexander, Kowalski, Tomasz and Wirsing, Martin (2025). A modular bisimulation characterisation for fragments of hybrid logic. The Bulletin of Symbolic Logic, 1-24. doi: 10.1017/bsl.2025.9

A modular bisimulation characterisation for fragments of hybrid logic

2023

Journal Article

Frame definability in finitely-valued modal logics

Badia, Guillermo, Caicedo, Xavier and Noguera, Carles (2023). Frame definability in finitely-valued modal logics. Annals of Pure and Applied Logic, 174 (7) 103273, 103273. doi: 10.1016/j.apal.2023.103273

Frame definability in finitely-valued modal logics

2023

Journal Article

Maximality of logic without identity

Badia, Guillermo, Caicedo, Xavier and Noguera, Carles (2023). Maximality of logic without identity. The Journal of Symbolic Logic, 89 (1) PII S0022481223000026, 1-16. doi: 10.1017/jsl.2023.2

Maximality of logic without identity

2025

Journal Article

Hybrid-dynamic Ehrenfeucht-Fraïssé games

Badia, Guillermo, Gaina, Daniel, Knapp, Alexander, Kowalski, Tomasz and Wirsing, Martin (2025). Hybrid-dynamic Ehrenfeucht-Fraïssé games. ACM Transactions on Computational Logic, 26 (4) 22, 1-25. doi: 10.1145/3750046

Hybrid-dynamic Ehrenfeucht-Fraïssé games

2025

Other Outputs

Fagin's theorem for semiring Turing machines

Badia, Guillermo, Droste, Manfred, Eiter, Thomas, Kiesel, Rafael, Noguera, Carles and Paul, Erik (2025). Fagin's theorem for semiring Turing machines. doi: 10.48550/arXiv.2507.18375

Fagin's theorem for semiring Turing machines

2025

Conference Publication

Generating and counting finite FL<sub>ew</sub>-chains

Badia, Guillermo, Monego, Riccardo, Noguera, Carles, Paparella, Alberto and Sciavicco, Guido (2025). Generating and counting finite FLew-chains. IEEE. doi: 10.1109/fuzz62266.2025.11152214

Generating and counting finite FL<sub>ew</sub>-chains

2025

Conference Publication

Definable classes of models and frames in bi-intuitionistic logic

Badia, Guillermo, Kowalski, Tomasz and Olkhovikov, Grigory (2025). Definable classes of models and frames in bi-intuitionistic logic. 2nd Third Workshop, Edmonton, Canada, 13-14 May 2024. London, United Kingdom: College Publications.

Definable classes of models and frames in bi-intuitionistic logic

2025

Other Outputs

Codd's Theorem for Databases over Semirings

Badia, Guillermo, Kolaitis, Phokion G. and Noguera, Carles (2025). Codd's Theorem for Databases over Semirings.

Codd's Theorem for Databases over Semirings

2025

Book

What is mathematical logic?

Badia, Guillermo, Crossley, John, Stillwell, John, Ash, Christopher J., Brickhill, Christopher J. and Williams, Neil H. (2025). What is mathematical logic?. 2nd ed. Oxford, United Kingdom: Oxford University Press.

What is mathematical logic?

2025

Conference Publication

Many-expert decision trees

Badia, Guillermo, Noguera, Carles, Paparella, Alberto and Sciavicco, Guido (2025). Many-expert decision trees. 6th International Workshop on Artificial Intelligence and Formal Verification, Logic, Automata, and Synthesis, Bolzano, Italy, 28-29 November 2024. Aachen, Germany: Technical University of Aachen.

Many-expert decision trees

2024

Journal Article

First-order friendliness

Badia, Guillermo and Makinson, David (2024). First-order friendliness. Review of Symbolic Logic, 17 (4), 1055-1069. doi: 10.1017/S175502032300014X

First-order friendliness

2024

Journal Article

A parametrised axiomatization for a large number of restricted second-order logics

Badia, Guillermo and Bell, John Lane (2024). A parametrised axiomatization for a large number of restricted second-order logics. Journal of Logic and Computation, 34 (7), 1295-1304. doi: 10.1093/logcom/exad050

A parametrised axiomatization for a large number of restricted second-order logics

2024

Journal Article

Relevant Consequence Relations: An Invitation

Badia, Guillermo, Behounek, Libor, Cintula, Petr and Tedder, Andrew (2024). Relevant Consequence Relations: An Invitation. The Review of Symbolic Logic, 17 (3) PII S1755020323000205, 762-792. doi: 10.1017/s1755020323000205

Relevant Consequence Relations: An Invitation

2024

Conference Publication

AUSTRALASIAN LOGIC COLLOQUIUM CO-SPONSORED by the ASSOCIATION for SYMBOLIC LOGIC Brisbane, Australia 6-8 November 2023

Badia, Guillermo and Rubin, Sasha (2024). AUSTRALASIAN LOGIC COLLOQUIUM CO-SPONSORED by the ASSOCIATION for SYMBOLIC LOGIC Brisbane, Australia 6-8 November 2023. Cambridge University Press. doi: 10.1017/bsl.2024.44

AUSTRALASIAN LOGIC COLLOQUIUM CO-SPONSORED by the ASSOCIATION for SYMBOLIC LOGIC Brisbane, Australia 6-8 November 2023

2024

Conference Publication

Logical characterizations of weighted complexity classes

Badia, Guillermo, Droste, Manfred, Noguera, Carles and Paul, Erik (2024). Logical characterizations of weighted complexity classes. Mathematical Foundations of Computer Science (MFCS 2024), Bratislava, Slovakia, 26-30 August 2024. Schloss Dagstuhl, Germany: Leibniz Center for Informatics. doi: 10.4230/LIPIcs.MFCS.2024.14

Logical characterizations of weighted complexity classes

2024

Other Outputs

Logical Characterizations of Weighted Complexity Classes

Badia, Guillermo, Droste, Manfred, Noguera, Carles and Paul, Erik (2024). Logical Characterizations of Weighted Complexity Classes.

Logical Characterizations of Weighted Complexity Classes

2024

Conference Publication

Fitting's style many-valued interval temporal logic tableau system: theory and implementation

Badia, Guillermo, Noguera, Carles, Paparella, Alberto, Sciavicco, Guido and Stan, Eduard I. (2024). Fitting's style many-valued interval temporal logic tableau system: theory and implementation. 31st International Symposium on Temporal Representation and Reasoning (TIME 2024), Montpellier, France, 28–30 October 2024. Wadern, Germany: Schloss Dagstuhl. doi: 10.4230/LIPIcs.TIME.2024.7

Fitting's style many-valued interval temporal logic tableau system: theory and implementation

2024

Other Outputs

Hybrid-Dynamic Ehrenfeucht-Fraïssé Games

Badia, Guillermo, Gaina, Daniel, Knapp, Alexander, Kowalski, Tomasz and Wirsing, Martin (2024). Hybrid-Dynamic Ehrenfeucht-Fraïssé Games. doi: 10.48550/arXiv.2406.02094

Hybrid-Dynamic Ehrenfeucht-Fraïssé Games