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Information and Computation
Article . 1997
License: Elsevier Non-Commercial
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Article . 1997
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Propositional Lax Logic

Propositional lax logic
Authors: Matt Fairtlough; Michael Mendler;

Propositional Lax Logic

Abstract

The authors investigate the use of a special intuitionistic modal logic with several applications to the performance evaluation of computer hardware. The logic contains a single modal operator enjoying aspects of ``possibility'' and ``necessity''. Several formal properties of the logic are well developed. E.g., (1) a cut-elimination theorem for the usual Gentzen-style sequent presentation of the logic, (2) a major Deduction Theorem, (3) the completeness of the logic with respect to Kripke constraint models, and (4) the finite model property for the logic relative to the class of constraint models. Early examples of mention of a similar modal operator by \textit{H. B. Curry} [A theory of formal deducibility (Notre Dame Math. Lectures, Volume 6) (1950; Zbl 0041.34807)] have come a long way!

Keywords

performance evaluation of computer hardware, Abstract deductive systems, hardware verification, Theoretical Computer Science, Computer Science Applications, Computational Theory and Mathematics, Other applications of logic, Kripke models, propositional modal logic, Modal logic (including the logic of norms), Performance evaluation, queueing, and scheduling in the context of computer systems, intuitionistic modal logic, Information Systems

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    97
    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
97
Top 10%
Top 1%
Average
hybrid