# Resolution for Temporal Logics of Knowledge

@article{Dixon1998ResolutionFT, title={Resolution for Temporal Logics of Knowledge}, author={Clare Dixon and Michael Fisher and Michael Wooldridge}, journal={J. Log. Comput.}, year={1998}, volume={8}, pages={345-372} }

A resolution based proof system for a temporal logic of knowledge is p re ented and shown to be correct. Such logics are useful for proving properties of distribut ed and multi-agent systems. Examples are given to illustrate the proof system. An extension of th e basic system to the multimodal case is given and illustrated using the ‘muddy children problem’.

## 77 Citations

### Resolution-based proof for multi-modal temporal logics of knowledge

- PhilosophyProceedings Seventh International Workshop on Temporal Representation and Reasoning. TIME 2000
- 2000

This paper presents a resolution method for propositional temporal logic combined with multi-modal S5 and illustrates its use on examples.

### Resolution in a Logic of Rational Agency

- Philosophy
- 2000

A resolution based proof system for a Temporal Logic of Possible Belief is presented and justified. This logic represents a combination of the branching-time temporal logic CTL and the modal logic…

### Tableaux for temporal logics of knowledge: synchronous systems of perfect recall or no learning

- Philosophy, Computer Science10th International Symposium on Temporal Representation and Reasoning, 2003 and Fourth International Conference on Temporal Logic. Proceedings.
- 2003

The paper describes tableaux based proof methods for temporal logics of knowledge allowing interaction axioms between the modal and temporal components that allow the description of how knowledge evolves over time and makes reasoning in such logics theoretically more complex.

### Using temporal logics of knowledge for specification and verification - a case study

- Philosophy, Computer ScienceJ. Appl. Log.
- 2006

### Complete Axiomatizations for Reasoning about Knowledge and Branching Time

- PhilosophyStud Logica
- 2003

The paper considers the system constraints of synchrony, perfect recall and unique initial states, which give rise to interaction axioms, and develops a language based on the temporal logic CTL*, interpreted with respect to a version of the bundle semantics.

### Translating Temporal Epistemic Logics to Monodic First- Order Temporal Logic

- Philosophy, Computer Science
- 2004

This paper presents a translation from temporal logics of knowledge into the monodic fragment of rst-order temporal logic in order to use an existent implementation of a theorem-prover for mondic rSt- order temporal logic called TeMP, so problems specied in temporal logic of knowledge could be tested automatically.

### Clausal Resolution for Logics of Time and Knowledge with Synchrony and Perfect Recall

- Computer Science, Philosophy
- 2000

This paper presents a resolution system for a temporal logic of knowledge admitting such interactions and considers the particular interaction that captures synchronous systems with perfect recall.

### Tableaux for logics of time and knowledge with interactions relating to synchrony

- Computer ScienceJ. Appl. Non Class. Logics
- 2004

The paper describes tableaux based proof methods for temporal logics of knowledge allowing non-trivial interaction axioms between the modal and temporal components, namely those of synchrony and no…

### Implementing Temporal Logics: Tools for Execution and Proof (Tutorial Paper)

- Computer ScienceCLIMA
- 2005

An overview of a selection of tools for execution and proof based on temporal logic, and outline both the general techniques used and problems encountered in implementing them.

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