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» Extensionality in the Calculus of Constructions
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AISC
2006
Springer
15 years 1 months ago
Operator Calculus Approach to Solving Analytic Systems
Solving analytic systems using inversion can be implemented in a variety of ways. One method is to use Lagrange inversion and variations. Here we present a different approach, base...
Philip Feinsilver, René Schott
IANDC
2010
125views more  IANDC 2010»
14 years 7 months ago
A thread calculus with molecular dynamics
In a previous paper, we developed an algebraic theory of threads, interleaving of threads, and interaction between threads and services. In the current paper, we extend that theory...
Jan A. Bergstra, C. A. Middelburg
164
Voted
POPL
2006
ACM
15 years 10 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
PEPM
2009
ACM
15 years 2 months ago
Translation and optimization for a core calculus with exceptions
A requirement of any source language is to be rich in features and concise to use by the programmers. As a drawback, it is often too complex to analyse, causing research studies t...
Cristina David, Cristian Gherghina, Wei-Ngan Chin
CORR
2008
Springer
122views Education» more  CORR 2008»
14 years 9 months ago
From formal proofs to mathematical proofs: a safe, incremental way for building in first-order decision procedures
Abstract We investigate here a new version of the Calculus of Inductive Constructions (CIC) on which the proof assistant Coq is based: the Calculus of Congruent Inductive Construct...
Frédéric Blanqui, Jean-Pierre Jouann...