# Petr Cintula

From ERCIM Working Group on Many-Valued Logics

### Affiliation

Institute of Computer Science

Academy of Sciences of the Czech Republic

Pod Vodárenskou věží 2

18207 Prague 8, Czech Republic

### Selected publications

- A note on natural extensions in abstract algebraic logic (with C. Noguera). To appear in
*Studia Logica*. - A Henkin-style proof of completeness for first-order algebraizable logics (with C. Noguera). To appear in The
*Journal of Symbolic Logic*. - Modal logics of uncertainty with two layer-syntax: a general completeness theorem (with C. Noguera).
*Logic, Language, Information and Computation - 21st International Workshop, WoLLIC 2014*, Ulrich Kohlenbach, Pablo Barceló, Ruy de Queiroz (eds), Valparaiso, Chile, September 1-4, 2014, Lecture Notes in Computer Science, Springer, pp. 124-136. - The quest for the basic fuzzy logic (with C. Noguera and R. Horčík). Petr Hájek on Mathematical Fuzzy Logic, chapter 12, F. Montagna (ed),
*Outstanding Contributions to Logic*, vol. 6, Springer, 2014, pp. 245-290. - Non-associative substructural logis and their semilinear extensions: axiomatization and completeness properties (with C. Noguera and R. Horčík).
*The Review of Symbolic Logic*6 (2013) 794-423. - The proof by cases property and its variants in structural consequence relations (with C. Noguera).
*Studia Logica 101*(2013) 713-747. - A general framework for Mathematical Fuzzy Logic (with C. Noguera).
*Handbook of Mathematical Fuzzy Logic - volume 1*, chapter II, P. Cintula, P. Hájek, C. Noguera (eds), Studies in Logic, Mathematical Logic and Foundations, vol. 37, College Publications, London, 2011, pp. 103-207. - Introduction to Mathematical Fuzzy Logic (with L. Běhounek and P. Hájek). In P. Cintula, P. Hájek, C. Noguera, editors,
*Handbook of Mathematical Fuzzy Logic - Volume 1*, volume 37 of Studies in Logic, Mathematical Logic and Foundations. 1-101, London: College Publication, 2011. - Admissible rules in the implication-negation fragment of intuitionistic logic (with G. Metcalfe).
*Annals of Pure and Applied Logic*162 (2010) 162-171. - Implicational (Semilinear) Logics I: A New Hierarchy (with C. Noguera).
*Archive for Mathematical Logic*49 (2010) 417-446. - Distinguished algebraic semantics for t-norm based fuzzy logics: methods and algebraic equivalencies (with C. Noguera, F. Esteva, J. Gispert, L. Godo and F. Montagna).
*Annals of Pure and Applied Logic*160 (2009) 53-81. - Structural completeness in fuzzy logics (with G. Metcalfe).
*Notre Dame Journal of Formal Logic*50 (2009) 153-182. - Complexity issues in axiomatic extensions of Lukasiewicz logic (with P. Hájek).
*Journal of Logic and Computation*19 (2009) 245-260. - Relations in Fuzzy Class Theory: Initial steps (with L. Běhounek and U. Bodenhofer).
*Fuzzy Sets and Systems*159 (2008) 1729-1772. - Formal systems of fuzzy logic and their fragments (with P. Hájek and R. Horčík).
*Annals of Pure and Applied Logic*150 (2007) 40-65. - On theories and models in fuzzy predicate logics (with P. Hájek).
*Journal of Symbolic Logic*71 (2006) 863-880. - Weakly implicative (fuzzy) logics I: Basic properties.
*Archive for Mathematical Logic*45 (2006) 673-704. - From fuzzy logic to fuzzy mathematics: A methodological manifesto (with L. Běhounek).
*Fuzzy Sets and Systems*157 (2006) 642-646. - Fuzzy logics as the logics of chains (with L. Běhounek).
*Fuzzy Sets and Systems*157 (2006) 604-610. - Fuzzy Class Theory (with L. Běhounek).
*Fuzzy Sets and Systems*154 (2005) 34-55. - Product Lukasiewicz logic (with R. Horčík).
*Archive for Mathematical Logic*43 (2004) 477-503. - Advances in the LPi and LPi1/2 logics.
*Archive for Mathematical Logic*42 (2003) 449-468.