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| '''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
 
|-
 
|-
 
| '''Code:'''  
 
| '''Code:'''  
| You can find the PVS theories [http://www.cs.us.es/~mjoseh/pub/PROTEMO.tgz here].
+
| You can find the PVS theories:
 +
* [http://www.cs.us.es/~mjoseh/pub/TeoriasPVS/Version_PVS-3.2/PROTEMO.tgz Version in PVS-3.2]
 +
* [http://www.cs.us.es/~mjoseh/pub/TeoriasPVS/Version_PVS-4.2/PROTEMO.tgz Version in PVS-4.2].
 +
* [http://www.cs.us.es/~mjoseh/pub/TeoriasPVS/Version_PVS-5.0/PROTEMO.tgz Version in PVS-5.0].
 
|-
 
|-
 
| '''Documentation:'''
 
| '''Documentation:'''
| [http://www.cs.us.es/~mjoseh/pub/Proving_termination_with_multiset_orderings_in_PVS.pdf Proving termination with multiset orderings in PVS: theory, methodology and applications]
+
| Papers and documents related with this work:
 +
*[http://www.cs.us.es/~mjoseh/pub/Proving_termination_with_multiset_orderings_in_PVS.pdf Proving termination with multiset orderings in PVS: theory, methodology and applications]
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*[http://www.cs.us.es/~mjoseh/pub/Well_founded_multiset_order.pdf Formalización en PVS de la buena fundamentación del orden de multiconjuntos]
 
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Revisión actual del 14:19 8 feb 2012

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:
Documentation: Papers and documents related with this work: