
A
Definitional
Encoding
of
TLA*
in
Isabelle/HOL
Title: 
A Definitional Encoding of TLA* in Isabelle/HOL 
Authors:

Gudmund Grov and
Stephan Merz

Submission date: 
20111119 
Abstract: 
We mechanise the logic TLA*
[Merz 1999],
an extension of Lamport's Temporal Logic of Actions (TLA)
[Lamport 1994]
for specifying and reasoning
about concurrent and reactive systems. Aiming at a framework for mechanising] the verification of TLA (or TLA*) specifications, this contribution reuses
some elements from a previous axiomatic encoding of TLA in Isabelle/HOL
by the second author [Merz 1998], which has been part of the Isabelle
distribution. In contrast to that previous work, we give here a shallow,
definitional embedding, with the following highlights:
 a theory of infinite sequences, including a formalisation of the concepts of stuttering invariance central to TLA and TLA*;
 a definition of the semantics of TLA*, which extends TLA by a mutuallyrecursive definition of formulas and preformulas, generalising TLA action formulas;
 a substantial set of derived proof rules, including the TLA* axioms and Lamport's proof rules for system verification;
 a set of examples illustrating the usage of Isabelle/TLA* for reasoning about systems.
Note that this work is unrelated to the ongoing development of a proof system
for the specification language TLA+, which includes an encoding of TLA+ as a
new Isabelle object logic [Chaudhuri et al 2010]. 
BibTeX: 
@article{TLAAFP,
author = {Gudmund Grov and Stephan Merz},
title = {A Definitional Encoding of TLA* in Isabelle/HOL},
journal = {Archive of Formal Proofs},
month = nov,
year = 2011,
note = {\url{http://isaafp.org/entries/TLA.shtml},
Formal proof development},
ISSN = {2150914x},
}

License: 
BSD License 
