Robin Hirsch's articles on Logical Games.
- R. Hirsch and I. Hodkinson.
Relation
Algebras by Games . Volume 147 in Studies in Logic and
the Foundations of Mathematics series, published by Elsevier Science,
North-Holland, 2002. Reviews of the book.
- R. Hirsch and I. Hodkinson.
Games in algebraic
logic.
Presented at the Amsterdam Colloquium , December 1997, organised
by the Institute for Logic, Language and Computation.
- R. Hirsch and I. Hodkinson.
Axiomatising various
classes of relation and cylindric algebras.
In Proc. Workshop on Logic, Language, Information, and Computation ,
Recife, July 1995. Also appears in Wollic95 Special Issue of the Journal
of the Interest Group in Pure and Applied Logics Vol. 5, No. 2, pp 209
- 229, 1997.
- R. Hirsch and I. Hodkinson.
Step by step - building representations
in algebraic logic.
In the Journal of Symbolic Logic , volume 62, number 1, pages 225
- 279, March 1997. Includes game-theoretic characterisation of representations
of relation algebras and a first-order characterisation of RRA.
- R. Hirsch and I. Hodkinson.
Complete representations
in algebraic logic.
In the Journal of Symbolic Logic , volume 62, number 3, pages 816-847,
September 1997. Includes proof that the completely representable relation
algebras do not form an elementary class, and the same result for cylindric
algebras of any fixed dimension.
- R. Hirsch. Completely
representable relation algebras.
In the Bulletin of the Interest Group in Pure and Applied Logics (
IGPL ), pp77 -92, volume
3, number 1 ,
March 1995.
- R. Hirsch and I. Hodkinson.
Relation algebras with n-dimensional
bases
A revised version appears in the Annals of Pure and Applied Logic
( vol. 101 pp 227-274, 2000, pub. Elsevier) but for copyright reasons
this version cannot be posted here.
- R. Hirsch and I. Hodkinson.
Relation algebras from
cylindric algebras, I
In Annals of Pure and Applied Logic , vol. 112, pp 225-266, 2001.
- R. Hirsch and I. Hodkinson.
Relation algebras from
cylindric algebras, II
In Annals of Pure and Applied Logic , vol. 112, pp 267-297, 2001.
- R. Hirsch and I. Hodkinson.
Synthesising
axioms by games.
In JFAK - a
CD ROM of essays dedicated to Johan van Benthem on the occasion of his 50th
birthday.
- R. Hirsch. Tractable
approximations for temporal constraint handling
In Artificial
Intelligence Journal, vol. 116, pp 287-295, 2000.
- R. Hirsch and I.
Hodkinson
Games in algebraic logic: axiomatisations and beyond.
Proceedings of "Foundations of the Formal Sciences V: Infinite Games",
Bonn November 2004, Bold, Lowe, Rasche, van Bentham (Eds), 2004. To appear
in Foundations of the Formal Sciences V, Studies in Logic, Vol. 11,
College Publications, 2007.
- R.Hirsch. Relation algebra reducts of cylindric algebras
and complete representations .