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CADE
2005
Springer
14 years 7 months ago
The Decidability of the First-Order Theory of Knuth-Bendix Order
Two kinds of orderings are widely used in term rewriting and theorem proving, namely recursive path ordering (RPO) and Knuth-Bendix ordering (KBO). They provide powerful tools to p...
Ting Zhang, Henny B. Sipma, Zohar Manna
TACS
2001
Springer
13 years 12 months ago
Bisimulation and Other Undecidable Equivalences for Lossy Channel Systems
Lossy channel systems are systems of finite state automata that communicate via unreliable unbounded fifo channels. Today the main open question in the theory of lossy channel sy...
Ph. Schnoebelen
IGPL
2008
124views more  IGPL 2008»
13 years 7 months ago
The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Igor Carboni Oliveira, Walter Alexandre Carnielli
LATIN
2010
Springer
14 years 2 months ago
The Language Theory of Bounded Context-Switching
Concurrent compositions of recursive programs with finite a natural abstraction model for concurrent programs. Since reachability is undecidable for this class, a restricted form ...
Salvatore La Torre, Parthasarathy Madhusudan, Genn...
RTA
2009
Springer
14 years 2 months ago
The Existential Fragment of the One-Step Parallel Rewriting Theory
It is known that the first-order theory with a single predicate → that denotes one-step rewriting reduction on terms is undecidable already for formulae with ∃∀ prefix. Sev...
Aleksy Schubert