Title :
New foundations for the geometry of interaction
Author :
Abramsky, Samson ; Jagadeesan, Radha
Author_Institution :
Dept. of Comput., Imperial Coll., London, UK
Abstract :
A new formal embodiment of J.-Y. Girard´s (1989) geometry of interaction program is given. The geometry of interaction interpretation considered is defined, and the computational interpretation is sketched in terms of dataflow nets. Some examples that illustrate the key ideas underlying the interpretation are given. The results, which include the semantic analogue of cut-elimination, stated in terms of a finite convergence property, are outlined
Keywords :
computational geometry; programming theory; computational interpretation; dataflow nets; geometry of interaction; Algebra; Computer networks; Concrete; Convergence; Educational institutions; Feedback; Geometry; Logic;
Conference_Titel :
Logic in Computer Science, 1992. LICS '92., Proceedings of the Seventh Annual IEEE Symposium on
Conference_Location :
Santa Cruz, CA
Print_ISBN :
0-8186-2735-2
DOI :
10.1109/LICS.1992.185534