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» Extensional Theories and Rewriting
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RTA
2005
Springer
14 years 1 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
FUIN
2007
120views more  FUIN 2007»
13 years 7 months ago
Concurrent Turing Machines
We define Concurrent Turing Machines (CTMs) as Turing machines with Petri nets as finite control. This leads to machines with arbitrary many tape heads, thus subsuming any class ...
Berndt Farwer, Manfred Kudlek, Heiko Rölke
LATA
2009
Springer
14 years 2 months ago
Termination of Priority Rewriting
Introducing priorities on rules in rewriting increases their expressive power and helps to limit computations. Priority rewriting is used in rule-based programming as well as in f...
Isabelle Gnaedig
CORR
2008
Springer
148views Education» more  CORR 2008»
13 years 6 months ago
Efficiently Simulating Higher-Order Arithmetic by a First-Order Theory Modulo
In deduction modulo, a theory is not represented by a set of axioms but by a congruence on propositions modulo which the inference rules of standard deductive systems--such as for ...
Guillaume Burel
KBSE
2000
IEEE
13 years 12 months ago
Circular Coinductive Rewriting
Circular coinductive rewriting is a new method for proving behavioral properties, that combines behavioral rewriting with circular coinduction. This method is implemented in our n...
Joseph A. Goguen, Kai Lin, Grigore Rosu