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» Natural Deduction Calculus for Computation Tree Logic
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POPL
2006
ACM
14 years 8 months ago
A fixpoint calculus for local and global program flows
We define a new fixpoint modal logic, the visibly pushdown ?-calculus (VP-?), as an extension of the modal ?-calculus. The models of this logic are execution trees of structured p...
Rajeev Alur, Swarat Chaudhuri, P. Madhusudan
FOSSACS
2012
Springer
12 years 3 months ago
Functions as Session-Typed Processes
We study type-directed encodings of the simply-typed λ-calculus in a session-typed π-calculus. The translations proceed in two steps: standard embeddings of simply-typed λ-calcu...
Bernardo Toninho, Luís Caires, Frank Pfenni...
IANDC
2010
141views more  IANDC 2010»
13 years 6 months ago
Regaining cut admissibility in deduction modulo using abstract completion
stract Completion Guillaume Burel a,c,∗ Claude Kirchner b,c aNancy-Universit´e, Universit´e Henri Poincar´e bINRIA Bordeaux - Sud-Ouest cLORIA, ´Equipe Pareo, Bˆatiment B, C...
Guillaume Burel, Claude Kirchner
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
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...