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» Natural Deduction Calculus for Computation Tree Logic
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POPL
2006
ACM
15 years 11 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
13 years 7 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»
14 years 10 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»
14 years 10 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
15 years 3 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...