@inproceedings{miller-aaai-16,
  author = {Tim Miller and Christian Muise and Paolo Felli and Adrian R. Pearce and Liz Sonenberg},
  year = {2016},
  booktitle = {The 30th AAAI Conference on Artificial Intelligence},
  keywords = {multi-agent planning, epistemic reasoning},
  url = {http://www.haz.ca/papers/miller-aaai-16.pdf},
  title = {'Knowing Whether' in Proper Epistemic Knowledge Bases},
  abstract = {Proper epistemic knowledge bases (PEKBs) are syntactic knowledge bases that use multi-agent epistemic logic to represent nested multi-agent knowledge and belief. PEKBs have certain syntactic restrictions that lead to desirable computational properties; primarily, a PEKB is a conjunction of modal literals, and therefore contains no disjunction. Sound entailment can be checked in polynomial time, and is complete for a large set of arbitrary formulae in logics Kn and KDn. In this paper, we extend PEKBs to deal with a restricted form of disjunction: ‘knowing whether’. An agent i knows whether ϕ iff agent i knows ϕ or knows ¬ϕ; that is, iϕ ∨ i¬ϕ. In our experience, the ability to represent that an agent knows whether something holds is useful in many multi-agent domains. We represent knowing whether with a modal operator, ∆i, and present sound polynomial-time entailment algorithms on PEKBs with ∆i in Kn and KDn, but which are complete for a smaller class of queries than standard PEKBs.}
}

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R.","Sonenberg, L."],"year":2016,"bibtype":"inproceedings","biburl":"www.haz.ca/publications.bib","bibdata":{"bibtype":"inproceedings","type":"inproceedings","author":[{"firstnames":["Tim"],"propositions":[],"lastnames":["Miller"],"suffixes":[]},{"firstnames":["Christian"],"propositions":[],"lastnames":["Muise"],"suffixes":[]},{"firstnames":["Paolo"],"propositions":[],"lastnames":["Felli"],"suffixes":[]},{"firstnames":["Adrian","R."],"propositions":[],"lastnames":["Pearce"],"suffixes":[]},{"firstnames":["Liz"],"propositions":[],"lastnames":["Sonenberg"],"suffixes":[]}],"year":"2016","booktitle":"The 30th AAAI Conference on Artificial Intelligence","keywords":"multi-agent planning, epistemic reasoning","url":"http://www.haz.ca/papers/miller-aaai-16.pdf","title":"'Knowing Whether' in Proper Epistemic Knowledge Bases","abstract":"Proper epistemic knowledge bases (PEKBs) are syntactic knowledge bases that use multi-agent epistemic logic to represent nested multi-agent knowledge and belief. PEKBs have certain syntactic restrictions that lead to desirable computational properties; primarily, a PEKB is a conjunction of modal literals, and therefore contains no disjunction. Sound entailment can be checked in polynomial time, and is complete for a large set of arbitrary formulae in logics Kn and KDn. In this paper, we extend PEKBs to deal with a restricted form of disjunction: ‘knowing whether’. An agent i knows whether ϕ iff agent i knows ϕ or knows ¬ϕ; that is, iϕ ∨ i¬ϕ. In our experience, the ability to represent that an agent knows whether something holds is useful in many multi-agent domains. We represent knowing whether with a modal operator, ∆i, and present sound polynomial-time entailment algorithms on PEKBs with ∆i in Kn and KDn, but which are complete for a smaller class of queries than standard PEKBs.","bibtex":"@inproceedings{miller-aaai-16,\n author = {Tim Miller and Christian Muise and Paolo Felli and Adrian R. Pearce and Liz Sonenberg},\n year = {2016},\n booktitle = {The 30th AAAI Conference on Artificial Intelligence},\n keywords = {multi-agent planning, epistemic reasoning},\n url = {http://www.haz.ca/papers/miller-aaai-16.pdf},\n title = {'Knowing Whether' in Proper Epistemic Knowledge Bases},\n abstract = {Proper epistemic knowledge bases (PEKBs) are syntactic knowledge bases that use multi-agent epistemic logic to represent nested multi-agent knowledge and belief. PEKBs have certain syntactic restrictions that lead to desirable computational properties; primarily, a PEKB is a conjunction of modal literals, and therefore contains no disjunction. Sound entailment can be checked in polynomial time, and is complete for a large set of arbitrary formulae in logics Kn and KDn. In this paper, we extend PEKBs to deal with a restricted form of disjunction: ‘knowing whether’. An agent i knows whether ϕ iff agent i knows ϕ or knows ¬ϕ; that is, iϕ ∨ i¬ϕ. 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