| P.Di Gianantonio, G.Franco, F.Honsell. Game Semantics for Untyped #-calculus, TLCA'99 Conf. Proc., LNCS, 1999. |
....are represented by partial involutions from Opponent moves to Player moves, should provide fully complete models for simply typed # calculus with #, # base constants. In the untyped setting, partial involutions strategies could possibly provide fully abstract models , alternative to those in [DFH99, KNO99]. In the category PER PInv , models of typed Bohm trees naturally arise (e.g. the model induced by the Sierpinski PER in Section 5.2) These are in particular models of the simply typed # calculus together with a fixed point combinator, as suggested by Alex Simpson. All these infinite ....
P.Di Gianantonio, G.Franco, F.Honsell. Game Semantics for Untyped #-calculus, TLCA'99 Conf. Proc., LNCS, 1999.
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