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Modální logiky II

Předmět na Filozofická fakulta |
ALGV00038

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Dynamic epistemic logic

Dynamic logic and programmes

Change of information

Epistemic logic

History in the framework of multi-modal logics

Kripke semantics for the modality K

Axiomatic systems based on modal logics (K, T, S4, S5)

Knowledge and truth, positive and negative introspection

Completeness theorem, canonical model and max-consistent sets of formulas (Lindenbaum lemma)

Canonicity

Decidability via finite models (+ the role of filtration), problems with accessibility relations

The meaning of common knowledge in a group of agents ("muddy children" story), everybody knows (group knowledge)

Kripke semantics for modalities K, E and C

Axiomatic systems for modalities K, E and C

Non-canonicity, non-compactness, accessibility realation for C, quasi-canonical model

Weak completeness theorem via finite canonical model

Distributed (implicit) knowledge I

Knowledge as belief (system KD45)

Predicate epistemic logic

Public announcement logic (PAL)

PAL - properties and axioms (S5 version)

PAL with common knowledge (PALC)

Successful and unsuccessful formulas and updates

Public announcement for weaker systems

Relativised common knowledge

Relevant epistemic logic

Logic for communication

Logic of questions

Epistemic logic with questions

Questions in PAL