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» Rewriting Calculus with(out) Types
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IFIP
2004
Springer
14 years 27 days ago
Ensuring Termination by Typability
A term terminates if all its reduction sequences are of finite length. We show four type systems that ensure termination of well-typed π-calculus processes. The systems are obtai...
Yuxin Deng, Davide Sangiorgi
CSL
2006
Springer
13 years 11 months ago
A Sequent Calculus for Type Theory
Based on natural deduction, Pure Type Systems (PTS) can express a wide range of type theories. In order to express proof-search in such theories, we introduce the Pure Type Sequent...
Stéphane Lengrand, Roy Dyckhoff, James McKi...
CONCUR
2006
Springer
13 years 11 months ago
Concurrent Rewriting for Graphs with Equivalences
Several applications of graph rewriting systems (notably, some encodings of calculi with name passing) require rules which, besides deleting and generating graph items, are able to...
Paolo Baldan, Fabio Gadducci, Ugo Montanari
RTA
2010
Springer
13 years 11 months ago
A Proof Calculus Which Reduces Syntactic Bureaucracy
In usual proof systems, like the sequent calculus, only a very limited way of combining proofs is available through the tree structure. We present in this paper a logicindependent ...
Alessio Guglielmi, Tom Gundersen, Michel Parigot
CORR
2010
Springer
194views Education» more  CORR 2010»
13 years 4 months ago
A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...
Stéphane Lengrand, Roy Dyckhoff, James McKi...