UL(C ? ) + {B c ,CI,WI,K} is sound and strongly complete for the logic (L (P, C ? ) , E Int , ), where E Int is the class of pointed substructural models (M, x) whose accessibility relations are plump and such that the following hold: for all x, y, z ? M ,
the following also holds: M, x ? ? ? iff M, x ? ? ? (22) References [1] Carlos Areces, Raul Fervari, and Guillaume Hoffmann. Swap logic, Logic Journal of IGPL, vol.22, issue.2, pp.309-332, 2014. ,
Relation-changing modal operators: Fig. 1., Logic Journal of IGPL, vol.23, issue.4, pp.601-627, 2015. ,
DOI : 10.1093/jigpal/jzv020
A Combined System for Update Logic and Belief Revision, PRIMA, pp.1-17, 2004. ,
DOI : 10.1007/978-3-540-32128-6_1
URL : https://hal.archives-ouvertes.fr/inria-00537233
Private announcement and belief expansion: an internal perspective, Journal of Logic and Computation, vol.22, issue.3, pp.451-479, 2012. ,
DOI : 10.1093/logcom/exq056
URL : https://hal.archives-ouvertes.fr/hal-00856474
DEL as a substructural logic, Outstanding Contributions: Johan F. A. K. van Benthem on Logical and Informational Dynamics Trends in Logic, 2014. ,
When conditional logic and belief revision meet substructural logics, Proceedings of the International Workshop on Defeasible and Ampliative Reasoning, DARe 2015, co-located with the 24th International Joint Conference on Artificial Intelligence Buenos Aires volume 1423 of CEUR Workshop Proceedings. CEUR-WS.org, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01193289
Dynamic epistemic logic in update logic, Journal of Logic and Computation, vol.26, issue.6, 2016. ,
DOI : 10.1093/logcom/exw002
URL : https://hal.archives-ouvertes.fr/hal-01476249
Global and Local Graph Modifiers, Methods for Modalities 5 (M4M-5), 2007. ,
DOI : 10.1016/j.entcs.2009.02.042
URL : https://hal.archives-ouvertes.fr/inria-00556034
A Dynamic Logic for Termgraph Rewriting, Lecture Notes in Computer Science, vol.6372, pp.59-74, 2010. ,
DOI : 10.1007/978-3-642-15928-2_5
URL : https://hal.archives-ouvertes.fr/hal-00940868
Dynamic Logic of Propositional Assignments: A Well-Behaved Variant of PDL, 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science, pp.143-152, 2013. ,
DOI : 10.1109/LICS.2013.20
URL : https://hal.archives-ouvertes.fr/hal-01240721
Conditional Doxastic Models: A Qualitative Approach to Dynamic Belief Revision, Electronic Notes in Theoretical Computer Science, vol.165, pp.5-21, 2006. ,
DOI : 10.1016/j.entcs.2006.05.034
URL : http://doi.org/10.1016/j.entcs.2006.05.034
The logic of conditional doxastic actions, Special Issue on New Perspectives on Games and Interaction Logic and Games, pp.9-31, 2008. ,
A Qualitative Theory of Dynamic Interactive Belief Revision, Logic and Games, pp.9-58, 2008. ,
DOI : 10.1007/978-3-319-20451-2_39
Situations and Attitudes, The Journal of Philosophy, vol.78, issue.11, 1983. ,
DOI : 10.2307/2026578
Constraints, channels, and the flow of information. Situation theory and its applications, pp.3-27, 1993. ,
On the Ternary Relation and Conditionality, Journal of Philosophical Logic, vol.49, issue.3, pp.595-612, 2012. ,
DOI : 10.1007/s10992-011-9191-5
URL : http://arrow.latrobe.edu.au:8080/vital/access/manager/Repository/latrobe:16094/SOURCE1
Display logic, Journal of Philosophical Logic, vol.11, issue.4, pp.375-417, 1982. ,
Modal Logic, volume 53 of Cambridge Tracts in Computer Science, 2001. ,
Dynamic causal calculus, Principles of Knowledge Representation and Reasoning: Proceedings of the Fourteenth International Conference, 2014. ,
Sequent calculi for propositional nonmonotonic logics, ACM Trans. Comput. Logic, vol.3, issue.2, pp.226-278, 2002. ,
Quick completeness proofs for some logics of conditionals, Notre Dame Journal of Formal Logic, vol.22, issue.1, pp.76-84, 1981. ,
Hypersequent and Display Calculi ??? a Unified Perspective, Studia Logica, vol.27, issue.4, pp.1245-1294, 2014. ,
DOI : 10.1007/s11225-014-9566-z
Substructural Logics, 1994. ,
Gaggle theory: an abstraction of galois connections and residuation, with applications to negation, implication, and various logical operators, Logics in AI, pp.31-51, 1991. ,
Relevance logic. Handbook of philosophical logic, pp.1-128, 2002. ,
DOI : 10.1007/978-94-017-0460-1_1
Relation-Changing Modal Logics, 2014. ,
On the succinctness of some modal logics, Artificial Intelligence, vol.197, issue.0, pp.56-85, 2013. ,
DOI : 10.1016/j.artint.2013.02.003
URL : https://hal.archives-ouvertes.fr/hal-01273572
Handbook of logic in artificial intelligence and logic programming, volume Nonmonotonic reasoning and uncertain reasoning, 1998. ,
Knowledge in Flux (Modeling the Dynamics of Epistemic States), 1988. ,
Belief revision and nonmonotonic logic: Two sides of the same coin?, pp.52-54, 1991. ,
DOI : 10.1007/BFb0018432
Untersuchungen ???ber das logische Schlie???en. I, Mathematische Zeitschrift, vol.39, issue.1, pp.176-210, 1935. ,
DOI : 10.1007/BF01201353
Non-classical logics for knowledge representation and reasoning, Intelligenza Artificiale, vol.5, issue.1, pp.127-131, 2011. ,
Conditional logic of actions and causation, Artificial Intelligence, vol.157, issue.1-2, pp.239-279, 2004. ,
DOI : 10.1016/j.artint.2004.04.009
URL : https://hal.archives-ouvertes.fr/halshs-00261167
Linear logic. Theoretical computer science, pp.1-101, 1987. ,
URL : https://hal.archives-ouvertes.fr/inria-00075966
General dynamic dynamic logic, Advances in Modal Logic, pp.239-260, 2012. ,
Substructural logics on display, Logic Journal of IGPL, vol.6, issue.3, pp.451-504, 1998. ,
DOI : 10.1093/jigpal/6.3.451
Dual Intuitionistic Logic Revisited, Lecture Notes in Computer Science, vol.1847, pp.252-267, 2000. ,
DOI : 10.1007/10722086_21
On a generalization of the ajdukiewicz-lambek system, Studies in Nonclassical Logics and Formal Systems, pp.315-334, 1983. ,
A Philosophically Plausible Formal Interpretation of Intuitionistic Logic, Indagationes Mathematicae (Proceedings), vol.67, issue.2, pp.329-329, 1971. ,
DOI : 10.1016/S1385-7258(64)50066-9
Arrow update logic. The Review of Symbolic Logic, pp.536-559, 2011. ,
Semantical analysis of intuitionistic logic i, Formal Systems and Recursive Functions of Studies in Logic and the Foundations of Mathematics, pp.92-130, 1965. ,
Frames and Labels. A Modal Analysis of Categorial Deduction, 1995. ,
The Mathematics of Sentence Structure, The American Mathematical Monthly, vol.65, issue.3, pp.154-170, 1958. ,
DOI : 10.2307/2310058
On the calculus of syntactic types, Structure of language and its mathematical aspects, pp.166-178, 1961. ,
DOI : 10.1090/psapm/012/9972
Bridges from classical to nonmonotonic logic. King's College, 2005. ,
DOI : 10.1093/jigpal/11.1.69
Relations between the logic of theory change and nonmonotonic logic The Logic of Theory Change, Lecture Notes in Computer Science, vol.465, pp.185-205 ,
Relevant logic and the theory of information, Synthese, vol.109, issue.3, pp.345-360, 1996. ,
Relevant logics The Blackwell guide to philosophical logic, 2001. ,
Logic and information, The Stanford Encyclopedia of Philosophy. CSLI publications Stanford, 2014. ,
Introduction to mathematical logic, 1997. ,
DOI : 10.1007/978-1-4615-7288-6
Symmetries in Natural Language Syntax and Semantics: The Lambek-Grishin Calculus, Logic, Language, Information and Computation, pp.264-284 ,
DOI : 10.1007/978-3-540-73445-1_19
Conditional logic, Handbook of philosophical logic, pp.1-98, 2001. ,
DOI : 10.1007/978-94-017-0456-4_1
Proof-Theoretic Methods in Nonclassical Logic --an Introduction, Theories of Types and Proofs, pp.207-254, 1998. ,
DOI : 10.2969/msjmemoirs/00201C060
What is information? Information, Language, and Cognition, vol.1, 1990. ,
Gentzen calculi for modal propositional logic, 2010. ,
DOI : 10.1007/978-90-481-9670-8
URL : https://hal.archives-ouvertes.fr/halshs-00775804
Interpreting and Applying Proof Theories for Modal Logic, New Waves in Philosophical Logic. Palgrave Macmillan, 2012. ,
DOI : 10.1057/9781137003720_4
General propositions and causality, 1929. ,
An algebraic and Kripke-style approach to a certain extension of intuitionistic logic, 1980. ,
Information flow and relevant logics In Logic, Language and Computation: The, Moraga Proceedings. CSLI, pp.463-477, 1994. ,
An Introduction to Substructural Logics, Routledge, 2000. ,
DOI : 10.4324/9780203252642
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.183.8564
Relevant and substructural logics. Handbook of the History of Logic, pp.289-398, 2006. ,
DOI : 10.1016/s1874-5857(06)80030-0
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.6179
The semantics of entailment?II, Journal of Philosophical Logic, vol.16, issue.1, pp.53-73, 1972. ,
DOI : 10.1007/BF00649991
The semantics of entailment ? III, Journal of Philosophical Logic, vol.16, issue.2, pp.192-208, 1972. ,
DOI : 10.1007/BF00650498
The Semantics of Entailment, Studies in Logic and the Foundations of Mathematics, pp.199-243, 1973. ,
DOI : 10.1016/S0049-237X(08)71541-6
Relevant logics and their rivals, 1982. ,
Completeness of weak implication, Theoria, vol.59, issue.3, pp.274-282, 1971. ,
DOI : 10.1111/j.1755-2567.1971.tb00072.x
A general theory of implication, Journal of Symbolic Logic, vol.37, issue.443, p.270, 1972. ,
Semantics for relevant logics, The Journal of Symbolic Logic, vol.32, issue.01, pp.159-169, 1972. ,
DOI : 10.1007/BF00818100
Exploring logical dynamics. CSLI publications Stanford, 1996. ,
Inference in action, pp.3-16, 2007. ,
The information in intuitionistic logic, Synthese, vol.128, issue.2, pp.251-270, 2009. ,
DOI : 10.1007/s11229-008-9408-5
Logical Dynamics of Information and Interaction, 2011. ,
DOI : 10.1017/CBO9780511974533
Dynamic Epistemic Logic, volume 337 of Synthese library, 2007. ,
Public announcements and belief expansion, Advances in Modal Logic, pp.335-346, 2004. ,
Sequent Calculi for Normal Modal Propositional Logics, Journal of Logic and Computation, vol.4, issue.2, pp.125-142, 1994. ,
DOI : 10.1093/logcom/4.2.125
Displaying Modal Logic, 1998. ,
DOI : 10.1007/978-94-017-1280-4
Sequent systems for modal logics. Handbook of philosophical logic, pp.61-145, 2002. ,
DOI : 10.1007/978-94-010-0387-2_2
URL : http://arp.anu.edu.au/%7Ejeremy/pubs/cutelim/Wansingc.pdf
Constructive negation, implication, and co-implication, Journal of Applied Non-Classical Logics, vol.27, issue.2-3, pp.341-364, 2008. ,
DOI : 10.2307/2268973
Falsification, natural deduction and bi-intuitionistic logic, Journal of Logic and Computation, vol.26, issue.1, 2013. ,
DOI : 10.1093/logcom/ext035