| J. van Benthem. Reflections on epistemic logic. Logique & Analyse, v. 133-134, pp. 5--14, 1991. |
....in general. S4 is nothing but a lazy higher level language on top of LP. Explicit counterparts of modal logics K, K4, and S5 were found in [12] 28] 5. LP may be regarded as a basic epistemic logic with explicit justifications; a problem of finding such systems was raised by van Benthem in [99]. 6. The complexity of the Logic of Proofs has been studied in [62] where it was shown that the known upper bounds on the decision procedure for LP are much better ( Sigma 2 in the polynomial hierarchy) than the ones for S4 or Int (PSPACE) 7. LP uses the combinatory logic language for explicit ....
J. van Benthem, Reflections on epistemic logic, Logique & Analyse, vol. 133134 (1991), pp. 5--14.
....a natural framework for LP. Intuitionistic Type Theory by Martin Lof [46] 47] also makes use of the format t : F with its informal provability reading. LP may also be regarded as a basic epistemic logic with explicit justifications; a problem of finding such systems was raised by van Benthem in [9]. The studies of the logic GL of implicit provability Provable(x) 67] 65] 12] 13] 14] 31] has given vast experience in arithmetical self referential semantics for modal logics. The 39 completeness theorem for LP (Theorem 7.1) could not probably have been obtained without the knowledge ....
J. van Benthem. "Reflections on epistemic logic", Logique & Analyse, 133-134, pp. 5-14, 1991
....terms in LP. Among the related works there is [15] where Gabbay s Labelled Deductive Systems may serve as a natural framework for LP. The Logic of Proofs may also be regarded as a basic epistemic logic with explicit justifications; a problem of finding such systems was raised by van Benthem in [7]. Intuitionistic Type Theory by Martin Lof [31] 32] also makes use of the format t : F with its informal provability reading. 1 Logic of Proofs 1.1 Definition. The language of Logic of Proofs (LP) contains the usual language of classical propositional logic proof variables x 0 ; x n ; ....
J. van Benthem. "Reflections on epistemic logic", Logique & Analyse, 133-134, pp. 5-14, 1991
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J. van Benthem. Reflections on epistemic logic. Logique & Analyse, v. 133-134, pp. 5--14, 1991.
No context found.
van Benthem, J. (1991): `Reflections on Epistemic Logic.' In: Logique et Analyse, 133-134.
No context found.
J. van Benthem, Reflections on epistemic logic, Logique & Analyse, vol. 133--134 (1991), pp. 5--14.
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