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2022

Journal Article

Axiomatization via translation: Hiz's warning for predicate logic

Badia, Guillermo, Crossley, John and Humberstone, Lloyd (2022). Axiomatization via translation: Hiz's warning for predicate logic. Logique et Analyse, 257 (257), 39-56. doi: 10.2143/LEA.257.0.3291070

Axiomatization via translation: Hiz's warning for predicate logic

2021

Journal Article

Maximality of bi-intuitionistic propositional logic

Olkhovikov, Grigory and Badia, Guillermo (2021). Maximality of bi-intuitionistic propositional logic. Journal of Logic and Computation, 32 (1) exab058, 1-31. doi: 10.1093/logcom/exab058

Maximality of bi-intuitionistic propositional logic

2021

Journal Article

A general omitting types theorem in mathematical fuzzy logic

Badia, Guillermo and Noguera, Carles (2021). A general omitting types theorem in mathematical fuzzy logic. IEEE Transactions on Fuzzy Systems, 29 (6) 9003263, 1386-1394. doi: 10.1109/TFUZZ.2020.2975146

A general omitting types theorem in mathematical fuzzy logic

2021

Journal Article

Lindström theorems in graded model theory

Badia, Guillermo and Noguera, Carles (2021). Lindström theorems in graded model theory. Annals of Pure and Applied Logic, 172 (3) 102916, 102916. doi: 10.1016/j.apal.2020.102916

Lindström theorems in graded model theory

2020

Journal Article

Saturated models in first-order many-valued logics

Badia, Guillermo and Noguera, Carles (2020). Saturated models in first-order many-valued logics. Logic Journal of the IGPL, 30 (1), 1-20. doi: 10.1093/jigpal/jzaa027

Saturated models in first-order many-valued logics

2020

Journal Article

How much propositional logic suffices for Rosser’s essential undecidability theorem?

Badia, Guillermo, Cintula, Petr, Hajek, Petr and Tedder, Andrew (2020). How much propositional logic suffices for Rosser’s essential undecidability theorem?. Review of Symbolic Logic, 15 (2), 1-18. doi: 10.1017/S175502032000012X

How much propositional logic suffices for Rosser’s essential undecidability theorem?

2020

Journal Article

A Lindström Theorem in Many-Valued Modal Logic over a Finite MTL-chain

Badia, Guillermo and Olkhovikov, Grigory (2020). A Lindström Theorem in Many-Valued Modal Logic over a Finite MTL-chain. Fuzzy Sets and Systems, 388, 26-37. doi: 10.1016/j.fss.2019.03.002

A Lindström Theorem in Many-Valued Modal Logic over a Finite MTL-chain

2020

Journal Article

A Lindström theorem for intuitionistic propositional logic

Badia, Guillermo and Olkhovikov, Grigory (2020). A Lindström theorem for intuitionistic propositional logic. Notre Dame Journal of Formal Logic, 61 (1), 11-30. doi: 10.1215/00294527-2019-0030

A Lindström theorem for intuitionistic propositional logic

2019

Book Chapter

A substructural logic for inconsistent mathematics

Badia, Guillermo and Weber, Zach (2019). A substructural logic for inconsistent mathematics. Dialetheism and its applications. (pp. 155-176) edited by Adam Reiger and Gareth Young. Cham, Switzerland: Springer. doi: 10.1007/978-3-030-30221-4_9

A substructural logic for inconsistent mathematics

2019

Journal Article

Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic

Badia, Guillermo, Costa, Vicent, Dellunde, Pilar and Noguera, Carles (2019). Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic. Soft Computing, 23 (7), 2177-2186. doi: 10.1007/s00500-019-03850-6

Syntactic characterizations of classes of first-order structures in mathematical fuzzy logic

2019

Journal Article

Incompactness of the A1 fragment of basic second order propositional relevant logic

Badia, Guillermo (2019). Incompactness of the A1 fragment of basic second order propositional relevant logic. Australasian Journal of Logic, 16 (1), 1-8. doi: 10.26686/ajl.v16i1.3925

Incompactness of the A1 fragment of basic second order propositional relevant logic

2018

Journal Article

Fraisse classes of graded relational structures

Badia, Guillermo and Noguera, Carles (2018). Fraisse classes of graded relational structures. Theoretical Computer Science, 737, 81-90. doi: 10.1016/j.tcs.2018.05.010

Fraisse classes of graded relational structures

2018

Journal Article

On Sahlqvist formulas in relevant logic

Badia, Guillermo (2018). On Sahlqvist formulas in relevant logic. Journal of Philosophical Logic, 47 (4), 673-691. doi: 10.1007/s10992-017-9445-y

On Sahlqvist formulas in relevant logic

2018

Journal Article

On elimination of quantifiers in some non-classical mathematical theories

Badia, Guillermo and Tedder, Andrew (2018). On elimination of quantifiers in some non-classical mathematical theories. Mathematical Logic Quarterly, 64 (3), 140-154. doi: 10.1002/malq.201600078

On elimination of quantifiers in some non-classical mathematical theories

2018

Journal Article

Currying omnipotence (a reply to Beall and Cotnoir)

Tedder, Andrew and Badia, Guillermo (2018). Currying omnipotence (a reply to Beall and Cotnoir). Thought: A Journal of Philosophy, 7 (2), 119-121. doi: 10.1002/tht3.376

Currying omnipotence (a reply to Beall and Cotnoir)

2018

Journal Article

On classes of structures axiomatizable by universal d-Horn sentences and universal positive disjunctions

Badia, Guillermo and Marcos, Joao (2018). On classes of structures axiomatizable by universal d-Horn sentences and universal positive disjunctions. Algebra Universalis, 79 (2) 41, 41. doi: 10.1007/s00012-018-0522-z

On classes of structures axiomatizable by universal d-Horn sentences and universal positive disjunctions

2018

Conference Publication

Saturated models in mathematical fuzzy logic

Badia, Guillermo and Noguera, Carles (2018). Saturated models in mathematical fuzzy logic. 2018 IEEE 48th International Symposium on Multiple-Valued Logic (ISMVL), Linz, Austria, 16-18 May 2018. Piscataway, NJ United States: Institute of Electrical and Electronics Engineers. doi: 10.1109/ismvl.2018.00034

Saturated models in mathematical fuzzy logic

2018

Journal Article

Variable sharing in substructural logics: an algebraic characterization

Badia, Guillermo (2018). Variable sharing in substructural logics: an algebraic characterization. Bulletin of the Section of Logic, 47 (2), 107-115. doi: 10.18778/0138-0680.47.2.03

Variable sharing in substructural logics: an algebraic characterization

2017

Journal Article

Infinitary propositional relevant languages with absurdity

Badia, Guillermo (2017). Infinitary propositional relevant languages with absurdity. Review of Symbolic Logic, 10 (4), 663-681. doi: 10.1017/S1755020317000132

Infinitary propositional relevant languages with absurdity

2017

Journal Article

Model definability in relevant logic

Badia, Guillermo (2017). Model definability in relevant logic. The IfCoLog Journal of Logics and their Applications, 4 (3), 623-645.

Model definability in relevant logic