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» Connection-Based Proof Construction in Linear Logic
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CADE
2000
Springer
13 years 12 months ago
Automated Proof Construction in Type Theory Using Resolution
We provide techniques to integrate resolution logic with equality in type theory. The results may be rendered as follows. − A clausification procedure in type theory, equipped w...
Marc Bezem, Dimitri Hendriks, Hans de Nivelle
LICS
2009
IEEE
14 years 2 months ago
The Inverse Taylor Expansion Problem in Linear Logic
Linear Logic is based on the analogy between algebraic linearity (i.e. commutation with sums and scalar products) and the computer science linearity (i.e. calling inputs only once...
Michele Pagani, Christine Tasson
CSR
2008
Springer
13 years 9 months ago
A Semantic Proof of Polytime Soundness of Light Affine Logic
We define a denotational semantics for Light Affine Logic (LAL) which has the property that denotations of functions are polynomial time computable by construction of the model. Th...
Ugo Dal Lago, Martin Hofmann
ICFP
2012
ACM
11 years 10 months ago
Propositions as sessions
Continuing a line of work by Abramsky (1994), by Bellin and Scott (1994), and by Caires and Pfenning (2010), among others, this paper presents CP, a calculus in which propositions...
Philip Wadler
CSL
2004
Springer
14 years 28 days ago
Predicate Transformers and Linear Logic: Yet Another Denotational Model
In the refinement calculus, monotonic predicate transformers are used to model specifications for (imperative) programs. Together with a natural notion of simulation, they form a...
Pierre Hyvernat