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» Derivatives of Logical Formulas
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JAR
2002
77views more  JAR 2002»
13 years 5 months ago
Proof Reflection in Coq
We formalise natural deduction for first-order logic in the proof assistant Coq, using De Bruijn indices for variable binding. The main judgement we model is of the form d [:] , ...
Dimitri Hendriks
LOGCOM
2008
97views more  LOGCOM 2008»
13 years 5 months ago
One-and-a-halfth-order Logic
The practice of first-order logic is replete with meta-level concepts. Most notably there are meta-variables ranging over formulae, variables, and terms, and properties of syntax s...
Murdoch James Gabbay, Aad Mathijssen
JSAI
2007
Springer
13 years 11 months ago
Towards a Logical Reconstruction of CF-Induction
CF-induction is a sound and complete hypothesis finding procedure for full clausal logic which uses the principle of inverse entailment to compute a hypothesis that logically expl...
Yoshitaka Yamamoto, Oliver Ray, Katsumi Inoue
STACS
1999
Springer
13 years 9 months ago
A Logical Characterisation of Linear Time on Nondeterministic Turing Machines
The paper gives a logical characterisation of the class NTIME(n) of problems that can be solved on a nondeterministic Turing machine in linear time. It is shown that a set L of str...
Clemens Lautemann, Nicole Schweikardt, Thomas Schw...
CORR
2010
Springer
153views Education» more  CORR 2010»
13 years 5 months ago
Characterising Probabilistic Processes Logically
Abstract. In this paper we work on (bi)simulation semantics of processes that exhibit both nondeterministic and probabilistic behaviour. We propose a probabilistic extension of the...
Yuxin Deng, Rob J. van Glabbeek