Compositional Reasoning for Multi-modal Logics, Lecture Notes in Computer Science, vol.7734, pp.1-15, 2013. ,
DOI : 10.1007/978-3-642-35722-0_1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.244.9370
Nested Sequent Calculi for Conditional Logics, pp.14-27 ,
DOI : 10.2307/2273315
URL : https://hal.archives-ouvertes.fr/hal-01479542
Swap logic, Logic Journal of IGPL, vol.22, issue.2, pp.309-332, 2014. ,
DOI : 10.1093/jigpal/jzt030
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
Interpreting an action from what we perceive and what we expect, Journal of Applied Non-Classical Logics, vol.12, issue.4, pp.9-38, 2007. ,
DOI : 10.3166/jancl.17.9-38
URL : https://hal.archives-ouvertes.fr/inria-00556151
Perspectives on belief and change, 2008. ,
URL : https://hal.archives-ouvertes.fr/tel-00556089
DEL-sequents for progression, Journal of Applied Non-Classical Logics, vol.36, issue.6, pp.289-321, 2011. ,
DOI : 10.3166/jancl.21.289-321
URL : https://hal.archives-ouvertes.fr/hal-00674150
DEL-sequents for regression and epistemic planning, Journal of Applied Non-Classical Logics, vol.17, issue.4, pp.337-367, 2012. ,
DOI : 10.1080/11663081.2012.736703
URL : https://hal.archives-ouvertes.fr/hal-00856471
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
Displaying updates in logic Journal of Logic and Computation, Special Issue on Substructural Logics and Information Dynam- ics(doi:10, p.2016, 1093. ,
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
Exploring the power of converse events. Dynamic Formal Epistemology, pp.51-74, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00557002
Generalized DELsequents, pp.54-66 ,
URL : https://hal.archives-ouvertes.fr/hal-00856472
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
Algebra and Sequent Calculus for Epistemic Actions, Electronic Notes in Theoretical Computer Science, vol.126, pp.27-52, 2005. ,
DOI : 10.1016/j.entcs.2004.11.012
URL : http://doi.org/10.1016/j.entcs.2004.11.012
Epistemic Actions as Resources, Journal of Logic and Computation, vol.17, issue.3, pp.555-585, 2007. ,
DOI : 10.1093/logcom/exm015
URL : http://arxiv.org/abs/math/0608166
Logics for Epistemic Programs, Synthese, vol.139, issue.2, pp.165-224, 2004. ,
DOI : 10.1023/B:SYNT.0000024912.56773.5e
The Logic of Public Announcements, Common Knowledge, and Private Suspicions, pp.43-56, 1998. ,
DOI : 10.1007/978-3-319-20451-2_38
The Logic of Public Announcements, Common Knowledge, and Private Suspicions, 1999. ,
DOI : 10.1007/978-3-319-20451-2_38
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
Probabilistic dynamic belief revision, Synthese, vol.24, issue.11, pp.179-202, 2008. ,
DOI : 10.1007/s11229-008-9369-8
A Qualitative Theory of Dynamic Interactive Belief Revision, Texts in 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. ,
Information flow and the lambek calculus In Logic, Language and Computation: The Forthcoming from CSLI, Moraga Proceedings, pp.49-64, 1994. ,
On the Logic of Information Flow, Logic Journal of IGPL, vol.3, issue.1, pp.7-49, 1995. ,
DOI : 10.1093/jigpal/3.1.7
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
Modal Logic, volume 53 of Cambridge Tracts in Computer Science, 2001. ,
Dynamic causal calculus, KR, 2014. ,
Quick completeness proofs for some logics of conditionals, Notre Dame Journal of Formal Logic, vol.22, issue.1, pp.76-84, 1981. ,
Application of recursive arithmetic to the problem of circuit synthesis, Summaries of the Summer Institute of Symbolic Logic, pp.3-50, 1957. ,
Relevance logic. Handbook of philosophical logic, pp.1-128, 2002. ,
DOI : 10.1007/978-94-017-0460-1_1
Reasoning about knowledge, 1995. ,
Relation-Changing Modal Logics, 2014. ,
Modal proof theory Handbook of Modal Logic, pp.85-138, 2007. ,
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
Multi-type display calculus for dynamic epistemic logic, Journal of Logic and Computation, vol.26, issue.6, 2014. ,
DOI : 10.1093/logcom/exu068
URL : https://hal.archives-ouvertes.fr/hal-01509398
Alessandra Palmigiano, and Vlasta Sikimi´cSikimi´c. A proof-theoretic semantic analysis of dynamic epistemic logic, Journal of Logic and Computation, 2014. ,
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
General dynamic dynamic logic, Advances in Modal Logic, pp.239-260, 2012. ,
Knowledge and common knowledge in a distributed environment, Journal of the ACM, vol.37, issue.3, pp.549-587, 1990. ,
DOI : 10.1145/79147.79161
URL : http://arxiv.org/abs/cs/0006009
Knowledge and Belief, An Introduction to the Logic of the Two Notions, 1962. ,
An axiomatic basis for computer programming, Communications of the ACM, vol.12, issue.10, pp.567-580, 1969. ,
DOI : 10.1007/978-3-642-59412-0_23
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.116.2392
Epistemic dynamics and protocol information, 2009. ,
Expressivity and completeness for public update logics via reduction axioms, Journal of Applied Non-Classical Logics, vol.1, issue.2, pp.231-253, 2007. ,
DOI : 10.1017/CBO9780511569852
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.495.7754
Arrow update logic. The Review of Symbolic Logic, pp.536-559, 2011. ,
Abstract, Bulletin of Symbolic Logic, vol.48, issue.02, pp.245-263, 1999. ,
DOI : 10.1145/357084.357090
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
Changing for the Better: Preference Dynamics and Agent Diversity, 2008. ,
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. ,
The Blackwell guide to philosophical logic, chapter Relevant Logics, 2001. ,
Logic and information The Stanford Encyclopedia of Philosophy, 2014. ,
Introduction to mathematical logic, 1997. ,
DOI : 10.1007/978-1-4615-7288-6
Categorial type logics, Handbook of logic and language, pp.95-180, 2010. ,
DOI : 10.1016/b978-044481714-3/50005-9
A logic for categorial grammars: Lambek's syntactic calculus In The Logic of Categorial Grammars, Lecture Notes in Computer Science, vol.6850, pp.23-63, 2012. ,
DOI : 10.1007/978-3-642-31555-8
Handbook of logic and language , chapter Dynamics, pp.607-670, 2011. ,
A Sequent Calculus for Preferential Conditional Logic Based on Neighbourhood Semantics, Nivelle [73], pp.115-134 ,
DOI : 10.1007/978-3-319-24312-2_9
Proof analysis for Lewis counterfactuals. The Review of Symbolic Logic, pp.1-32 ,
Conditional logic, Handbook of philosophical logic, pp.1-98, 2001. ,
DOI : 10.1007/978-94-017-0456-4_1
A Standard Internal Calculus for Lewis??? Counterfactual Logics, Nivelle [73], pp.270-286 ,
DOI : 10.1007/978-3-319-24312-2_19
A sequent calculus and a theorem prover for standard conditional logics, ACM Transactions on Computational Logic, vol.8, issue.4, 2007. ,
DOI : 10.1145/1276920.1276924
URL : https://hal.archives-ouvertes.fr/halshs-00261169
Proof-Theoretic Methods in Nonclassical Logic --an Introduction, Theories of Types and Proofs, pp.207-254, 1998. ,
DOI : 10.2969/msjmemoirs/00201C060
URL : http://projecteuclid.org/download/pdf_1/euclid.msjm/1389985704
What is information? Information, Language, and Cognition, vol.1, 1990. ,
Logics of public communcations, Proceedings of the 4th International Symposium on Methodologies for Intelligent Systems, pp.201-216, 1989. ,
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
Semantical considerations on floyd-hoare logic, Proceedings of the 17th IEEE Symposium on the Foundations of Computer Science, pp.109-121, 1976. ,
DOI : 10.1109/sfcs.1976.27
General propositions and causality, 1929. ,
Knowledge in Action: Logical Foundations for Specifying and Implementing Dynamical Systems, 2001. ,
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. ,
Solving the Frame Problem, 1997. ,
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
General dynamics. Theoretical Linguistics, pp.159-202, 1991. ,
Exploring logical dynamics. CSLI publications Stanford, 1996. ,
Meaning: the Dynamic Turn, chapter Structural Properties of Dynamic Reasoning, pp.15-31, 2003. ,
Dynamic logic for belief revision, Journal of Applied Non-Classical Logics, vol.147, issue.11, pp.129-155, 2007. ,
DOI : 10.1007/BF00248150
Inference in action, pp.3-16, 2007. ,
Logical dynamics meets logical pluralism? The Australasian Journal of Logic, pp.182-209, 2008. ,
Modal logic for open minds. CSLI publications, 2010. ,
Logical Dynamics of Information and Interaction, 2011. ,
DOI : 10.1017/CBO9780511974533
McCarthy variations in a modal key, Artificial Intelligence, vol.175, issue.1, pp.428-439, 2011. ,
DOI : 10.1016/j.artint.2010.04.014
Merging frameworks for interaction, Proceedings of the 11th conference on Theoretical aspects of rationality and knowledge , TARK '07, pp.491-526, 2009. ,
DOI : 10.1145/1324249.1324262
Dynamic Update with Probabilities, Studia Logica, vol.204, issue.11, pp.67-96, 2009. ,
DOI : 10.1007/s11225-009-9209-y
Reduction axioms for epistemic actions, AiML-2004: Advances in Modal Logic, number UMCS-04-9-1 in Technical Report Series, pp.197-211, 2004. ,
Synthesis from knowledge-based specifications, Lecture Notes in Computer Science, vol.1466, pp.34-49, 1998. ,
DOI : 10.1007/BFb0055614
Prolegomena to dynamic logic for belief revision, Synthese, vol.147, pp.229-275, 2005. ,
Dynamic Epistemic Logic, volume 337 of Synthese library, 2007. ,
Hidden protocols: Modifying our expectations in an evolving world, Artif. Intell, vol.208, pp.18-40, 2014. ,
From situation calculus to dynamic epistemic logic, Journal of Logic and Computation, vol.21, issue.2, pp.179-204, 2009. ,
Reducing dynamic epistemic logic to PDL by program transformation, 2004. ,
Composing models, Journal of Applied Non-Classical Logics, vol.34, issue.2, pp.397-425, 2011. ,
DOI : 10.3166/jancl.21.397-425
URL : https://hal.archives-ouvertes.fr/inria-00535882
Epistemic Modelling and Protocol Dynamics, 2010. ,
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
C ? )?consistent set of S P * is a set ? of L (P, C ? , P)?structures of S P * such that there are no X 1 ,
C ? )?structures of S A * . Then, like in [12], we can prove the same preliminary results and the same Cut Lemma and Lindenbaum Lemma. For the sake of completeness, we recall them below, Similar definitions hold for the ,