Diferencia entre revisiones de «Proving termination with multiset orderings in PVS: theory, methodology and applications (PROTEMO)»

De WikiGLC
Saltar a: navegación, buscar
Línea 10: Línea 10:
 
|-
 
|-
 
| '''Description:'''  
 
| '''Description:'''  
| This theory present a methodology to organize and simplify non-trivial termination  proofs of functions using well-founded multiset orderings. The theory consists of:
+
| This theory presents a methodology to organize and simplify non-trivial termination  proofs of functions using well-founded multiset orderings. The theory consists of:
# A formalization of the Dershowitz and Manna theorem.
+
# A formalization of the theorem of Dershowitz and Manna.
 
# A methodology for proving termination properties.
 
# A methodology for proving termination properties.
 
# Three case studies: a tail-recursive definition of Ackermann's function, an iterative definition of McCarthy's 91 function and an iterative function to compute a generic schema for double recursion
 
# Three case studies: a tail-recursive definition of Ackermann's function, an iterative definition of McCarthy's 91 function and an iterative function to compute a generic schema for double recursion

Revisión del 15:27 2 jun 2010

Title: Proving termination with multiset orderings in PVS: theory, methodology and applications
Authors: José A. Alonso, María J. Hidalgo and Francisco J. Martín.
Date: November 2009.
Description: This theory presents a methodology to organize and simplify non-trivial termination proofs of functions using well-founded multiset orderings. The theory consists of:
  1. A formalization of the theorem of Dershowitz and Manna.
  2. A methodology for proving termination properties.
  3. Three case studies: a tail-recursive definition of Ackermann's function, an iterative definition of McCarthy's 91 function and an iterative function to compute a generic schema for double recursion
Code: You can find the PVS theories here.
Documentation: Proving termination with multiset orderings in PVS: theory, methodology and applications