Pym, D. and E. Ritter, A Semantics for Proof-search, manuscript, September 2000.  Home/Search   Document Not in Database   Summary   Related Articles

....a dependently typed calculus which provides a partial analysis, being both in the spirit of BI and yet somewhat reliant on the presence of a form of Dereliction. Nevertheless, can be interpreted in the general bred framework sketched in Figure 2; Classical logic: the and calculi [22,26,27,29,30] allow the presentation of a semantics of the proofs of propositional classical logic within the bred framework [29] In ( sequents are structured so as to have a chosen active position on the right (the left most position) t : where the term t inhabits (in the sense of the ....

....(see [24,21,23] 9 w 1 w 2 w 3 w 4 w 1 : w 2 : w 3 : w 4 : Fig. 5. Substructural Search Semantics as Kripke Semantics It follows that we might expect to interpret reductive logic in models based on families of polynomial categories indexed by Kripke worlds [27]. Note that possible worlds aspect of this choice of semantics is somewhat independent of the underlying deductive logic: We have indicated that both intuitionistic and substructural systems can be treated in this way but so too can classical systems. Turning brie y once again to equality, we ....

Pym, D. and E. Ritter, A Semantics for Proof-search, manuscript, September 2000.

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC