It is well known that general recursion cannot be expressed within Martin-Loef's type theory and various approaches have been proposed to overcome this problem still maintaining the termination of the computation of the typable terms. In this work we propose a new approach to this problem based on the use of inductively generated formal topologies.

C. Sacerdoti Coen, S. Valentini (2010). General Recursion and Formal Topology. s.l : Electronic Proceedings in Theoretical Computer Sci.

General Recursion and Formal Topology

SACERDOTI COEN, CLAUDIO;
2010

Abstract

It is well known that general recursion cannot be expressed within Martin-Loef's type theory and various approaches have been proposed to overcome this problem still maintaining the termination of the computation of the typable terms. In this work we propose a new approach to this problem based on the use of inductively generated formal topologies.
2010
Proceedings Workshop on Partiality and Recursion in Interactive Theorem Provers
65
75
C. Sacerdoti Coen, S. Valentini (2010). General Recursion and Formal Topology. s.l : Electronic Proceedings in Theoretical Computer Sci.
C. Sacerdoti Coen; S. Valentini
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/101039
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