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» Natural Deduction Calculus for Computation Tree Logic
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LACL
1998
Springer
13 years 11 months ago
Lambek Calculus Proofs and Tree Automata
Abstract. We investigate natural deduction proofs of the Lambek calculus from the point of view of tree automata. The main result is that the set of proofs of the Lambek calculus c...
Hans-Jörg Tiede
RELMICS
2000
Springer
13 years 11 months ago
A Decision Method for Duration Calculus
Abstract: The Duration Calculus is an interval logic introduced for designing realtime systems. This calculus is able to capture important real-time problems like the speci cation ...
Nathalie Chetcuti-Sperandio, Luis Fariñas d...
CADE
2007
Springer
14 years 8 months ago
Bidirectional Decision Procedures for the Intuitionistic Propositional Modal Logic IS4
We present a multi-context focused sequent calculus whose derivations are in bijective correspondence with normal natural deductions in the propositional fragment of the intuitioni...
Samuli Heilala, Brigitte Pientka
TLCA
2001
Springer
14 years 1 days ago
Strong Normalization of Classical Natural Deduction with Disjunction
We introduce λµ→∧∨⊥ , an extension of Parigot’s λµ-calculus where disjunction is taken as a primitive. The associated reduction relation, which includes the permutati...
Philippe de Groote
DLOG
2007
13 years 10 months ago
A Constructive Semantics for ALC
One of the main concerns of constructive semantics is to provide a computational interpretation for the proofs of a given logic. In this paper we introduce a constructive semantics...
Loris Bozzato, Mauro Ferrari, Camillo Fiorentini, ...